![]() |
Gaussian law and time varying fields
Jerry Martes wrote: Hi Art I hurt my knee, so I have alot of time to spend on this computer right now. I've been trying to develop skills with Roy's EZNEC. Can you send me enough data on your concept as I'd need to model it with EZNEC? Jerry, I am not computor literate in many ways so I dont have the ability to post a page. I am trying to do what you ask but it will takes time, I gave a set up but it did not have any pictures to provide interest for those who have EZNEC so they didn't try out things. I will get something that people can look at possibly using EZNEC which will remove the fear of the unknown from many on this newsgroup. I missed the point about the unsatisfactory aspects of a Yagi antenna. Unsatisfactory is really a relative term. I made a 60 to 80 foot yagi that did a great job in making far off contacts which does get a bit old after a while. The antenna being long took up the slack in the rotor when it was windy was something I didn't like. On top of that the beam width was narrow because of its high gain but if the wind was going I really wasn't getting the benefit of the extra gain because of the slack in the pointing methods and ofcourse with such a long length of antenna it was hard to make corrections over time as we all do with antennas. So My main requirement to seek was a wide beam with little or no sacrifice in gain as well as something shorter to prevent my rotor from taking a beating and most of all I wanted a constant gain over the band so I wasn't at a disadvantage as I moved around. As I said it is all relative and if you want to build an antenna just to0 get on the air it is hard to beat the simplicity of a yagi unless you become to demanding of its performance. Is there any similarity between your "cluster" and the Wullenweber" (?sp?) antenna concept? No. That antenner is really a driven element in conjunction with a detune element. The elements are the vertical variety and if only a single direction of radiation is required then two elements would suffice. But the military wants to point in all directions and sometimes wants to scan in all directions so basically instead of turning a vertically polarised yagi they just align the driven element with one of the multitude of untuned elelemnt arranged in a circle via coax and switching methods instead of a very very long yagi swinging around. How are you able to measure the resistive component of an antenna's terminal impedance then seperate it into two parts? You state that one resistance is related to current below the surface and the other the current that flows on the top of the surface. Well that is where the computor comes in, what would take the likes of me a lifetime to sort out I get a suitable computor program from one of the clever guys around but you must remember a lot of programs were designed around the Yagi with the thought it would always remain as the antenna of choice. There are other programs around that can circumvent the basic yagi design but it requires more effort and knoweledge and most of us are old guys with asn abundance of senior moments. What frequency band do you do your testing on?? You must have some very good test equipment. I do have a lot of equipment but I realise that it is of little use if you cannot rely on the results you obtain, that is the beauty of computor programs as most of the human frailties have been removed. Is it easy for you to tell me why you want to avoid "reactiveness"? I thought I had attempted that! Tell me how I can model your antenna with EZNEC. No I can't since I am not familiar with it but as I said earlier I am trying to get an example done with the use of EZNEC which will provide more meaning to those that are interested tho I do understand that the spamming warfare will increase from those who feel all is known about antennas and it is written right infront of them in their personal books. New books, authors or new ideas are not necessary anymore to many of the old timers Regards Art Jerry "art" wrote in message oups.com... Jerh each otherry What I am doing is to get away from inline coupling of elements. The Yagi antenna is one of these where all the elements are in line. What I am doing is to arrange a a bunch of elements in a group or cluster such that each and all elements couple with each other rather than the the two elements along side. By doing this and yet making the bunch of elements resonant on their own as well as being driven by one element as with the normal antenna you have to make changes in either the length, dia or material of each element to compensate for all the other factors implanted on them by the proximity of all the other elements in the bunch or cluster. When this is done correctly the bunch of elements are in equilibrium with each other and where each element impedance is devoid or has reactance minimised. The reason for this aproach is the two resistances that you encounter are the resistance of the material used for the element which is where the current flows below the surface and the radiation resistance which is from the current that flows on top of the surface to produce radiation. Since it is radiation that we are concerned with only true resistance is of importance and where reactiveness in the impedances provide no benefit to radiation. The bottom line is that we want to avoid reactivenes whereas the yagi by coupling elements that are untuned or not resonant promotes reactiveness. An example of what this reactiveness does to an array is to make the value curves for gain, back to front and swr all peaking at different frequencies where as the ideal arrangement is to have all the curves peak near the same frequency so that when using the antenna across the band you have a fairly consistent gain figure instead of having to cut it at the high or low end of the band in a compromising effort. When building such an array you take advantage of height in the turning radius of the beam since you dont have to place all elements in a single line as with a yagi which imposes limits on antenna length. by utilising height of the array you can have a smaller rotating radius with the same gain of a yagi with a larger turning radius together with a bandwidth with smoothed variables. Hope that helps and clears some of the mystery away from clustered arrays. This aproach by the way also applies to vertical arrays from which you can get horizontal, vertical and circular radiation where each has its special place of use. Use of academic terms was only provided because some academics don't like change and want to see the same things they see in books and for some reason were taught that talk of statics in the same room as electromagnetics is blasphamy yet they cannot bring forward anything in the books that say they are totally separable. By the way I mentioned Nagy where as it should have been Brown who did so much in recent years in broadcasting and T.V. Have fun with antennas and don't get intimidated by those who learned things in College only to memorise and pass exams instead of using knoweledge to advance the quality of life. Best regards Art Jerry Martes wrote: Hi Art Thanks for taking your time to direct me to some very complex thinking. But, I'm a rather simple guy who isnt well educated. You apparently expect a "just regular guy" like me to understand the ccomplex convoluted theoretical stuff that you write about. When I did work as an antenna design engineer, years ago, I saw some of my buddies working on the distribution of energy across apertures in an effort to shape beams. One of their considerations was to decrease the power to the elements as they were more distant from the center of the array. I remember reading that when the power is tapered to provide a distribution about equivalent to a Gaussian Distribution, the side lobes were minimal. I really enjoy thinking about real antenna construction projects. but, when it gets to the Maxwell's Equation kind of analysis, I get lost. I dont even know what a Vector is. You may have the wrong impression about me, Art, I'm an old guy who wants to have fun with antennas. It isnt necessary for you to tell me to "get back to basics". I dont have interest in the "basics" you refer to. Is it possible for you to tell us (me) what you are referring to without referring to Vectors, Gauss's law, Lorentz, "Nagi", and even elementary calculus? Frankly, Art, you confuse me when you write such scholarly paragraphs. You and I are so far removed from each other intellectually that I can never keep up with your texts. Jerry "art" wrote in message ups.com... Jerry, get back to basics and look up a conservative field relative to Gaussian law. Step 1 It is a group of electric charges with an addition vector of zero. So move backwards and remove that vector if you wish and you have a gaussian field of electrical charges which in the case of a bunch of resonant elements can be seen as all positive or all negative charges and we also know that Gaussian law is valid even for enclosed charges in motion. Step 2 The vector that we removed is known as curl but at this time nit has no valu is the samee tho the vector direction is known. Step 3 Faraday's law of Induced electromotive force. This is somewhat opposite to the consevative field in terms of rotation but in relative terms it where the consevative field is revolving around a magnetic field ( hopefully you can visualise this) So we have a charge q in an element of length ds, which element, at the instant considered has velocity u,experiences a force. Now I know some have difficulty with what I said earlier with respect to adding " at an instant of time) to Gausses law which is the same length of time referred to above as " at the instant considered " Gtep 4 We then examine Lorentz equation which refers to an induced electric field which is present when, for example the magnetic field is changing with time such that v1 = 1/q integral F.ds. You can now see that any CONSERVATIVE force that might be included in F would integrate to zero thus ommiting any electrostatic field that might be present Note again faradays law, it is valid regardloess of the nature of the factor or factors responsible for change in magnetic flux. So now the overview of the cluster of resonant elements projected a conservative field with a magnetic vector of zero reflecting" an instant of time" with respect to resonant elements and where the magnetic field will provide motion to the electrostatic field where all charges will exibit the same direction of charge and will change in unison Now no amount of writing will get you to understand this flow of concept if you are not willing to have an open mind or think around something that at the present time you fail to understand and are not willing to rethink thing, possibly in a different way than I presented it. If you are so inclined you can go back further in history and play with the 4 vertical array of elements formed by Nagi to obtain possible insights since he also worked with an array of vertical elements all of which were resonant. His work has been rechecked via Matlab and found to be correct so you have a viable path to follow if you have a modicom of interest in this new concept. It must be noted that the above is only a partial description of the concept because I have yet to add a detuned element for directional purposes for the radiation field. There is nothing more that I can add that will persuade you to follow thru with this concept so I believe I have now reached the Rubicon with respect to this vision of mine. If you can't understand it now put it down to me not being smart enough to explain clearly electromagnetics to those skilled in the art which I am now finding to be a hopeless task at least here in the U.S. unless one can read it in a book and memorise it so one can pass an exam.. Art Jerry Martes wrote: "JIMMIE" wrote in message ups.com... Dave wrote: "art" wrote in message ups.com... In the thread Rain static I referred to a closed surface which is clearly defined by Gauss's law. Gauss's law doesn't define a surface, the surface is any arbitrary surface surrounding a charge. Let us now look at a time vary field applied to a dielectric. I fht efield is applied for the shortest of time the charges will stay on the surface. If time is longer than the shortest space of time you make it sound like there is some 'shortest' time where charges won't move. this is not true. no matter how short you make the time it will move the charges. then charges will openetrate the closed surface. If the surface is an insulator type then it takes a long while to penetrate but if the surface Here you mix up 'surface' and 'surface'. the gauss's law 'surface' is a mathematically useful construction around a charge, it does not have any charge 'on' it, nor is there any 'penetration' of it by charge in gauss's law. it is strictly a non-material thing that is used only for calculation purposes. is a good conductor then the charges will penetrate very quickly so we can associate the time constant of penetration to the subject of skin depth. If we are to associate the time varying field to a gaussian field you have yet to define a 'gaussian field'. gauss's law applies to electric fields and their relation to charges. all the excess charges must be on the surface by law. only in a 'perfect' conductor. dielectrics and 'empty' space can have distributed charges throughout. Or in other words the time evolved must be shorter than the time required to begin penetration. huh? it just goes down hill from here. write some equations, do some drawings, publish a manuscript. all the rest is empty handwaving based on incorrect assumptions and missing definitions. Thus for a short space of time all charges are on the surface and the charges have a magnhe radiating eneetic and electric field vectors. Just having charges is not enough to convert to a gaussian field in that a gaussian field must be in equilibrium thus a cluster of elements must have the direction of the surface charges change in unison. For a cluster of elements to do this they must all be resonant such that the charges reach the ends of the elements at the same time. Resonance of an element is determined by its diameter and its length and because it is coupled to other elements in the cluster the coupling must be taken into account to secure resonance of not only the individual elements but of the cluster as a whole. When this is accomplished the charges on the surface of the closed volume are in equilibrium but onty for that shortest of short time and where that time is added to the gaussian formulae for the transition to be complete. For the Gaussian field or volume we can say the energy inside the gaussian field is equal to that supplied by flux to the outside of the border and remember the flux inside consists of magnetic and electric vectoirs. We now can say that in a moment of time the flux produced from each element that breaches the border in summation with the other elements is equal to the radiating field outside of the border when each element energy makes the transmittion. Thus the summation of each of the clustered elements individual energy when the vectors are given a value must equal the flux on the outside of the border that produces radiation. We also know that if we have a cluster of elements that are clustered together we can obtain radiation by just applying a time varing field to just one of the elements and by virtue of intercoupling all the radiating energy will leave the near field. Thus we have two different methods of determining the value of the radiated field ! radiation from the clustered within a Gaussian field and 2 radiation from an array of coupled elements Since the elements within the cluster are all of the same "Q'" the determination of all factors in the resulting equation are simplified to Ohms law and where the laborious coupling calculations are omitted. The above describes in first principles as to how a Gaussian field in a short space of time can be equated to a radiating cluster using existing laws of the masters which also embraces NEC code. Now many have said I have no understanding of radiation concepts so go ahead and tear this apart and have a merry Xmas doing it Art Unwin KB9MZ..........XG It appears Art has picked up some phrases haphazardly and is trying to apply them to antennas some how, If I remember correctly doesnt Gaussian field apply to statistical distribution. Been a long time since I had statistical analysis back in the early 70s but I think this is also refered to as a "normal distribution". Hi Jimmy By my standards, you are *Right On* on all you wrote. I'm pretty sure Gaussian distribution of power across a radiating plane results (theoretically) in zero side lobes, That is also a very poor distribution when gain is a goal. I think the term Normal is synonymous with Gaussian when referring to aperture distribution. Jerry |
Gaussian law and time varying fields
Hi Art
I have to tell you that I am beginning to loose interest in this thread. I read about "equilibrium" and began to wonder what that meant in a discussion about a cluster of radiators. Then, when you explained equilibrium in terms of balloons, ball bearings and sweat, I began to wonder if you are pulling my leg. Now, I really feel like a guy who went snipe hunting and got left out alone all night. You are playing with me, aren't you?? I asked for data and dimensions so I could work *with* you to better understand your "Cluster" You reply to my request for information with sentences like this -- Sound simple but there are difficulties, when you weaken the enclosing force it does produce a major hole for directive purposes however at the same time multiple fissures open in other areas which provides a leakage trail for the swerling innards such that radiative energy on a smaller scale still escaopes to form radiation in other areas than the forward direction envisioned. If your goal is to show that I am too stupid to know when I am being tricked, you won. Jerry "art" wrote in message ps.com... Jerry, Let me take the opportunity of explaning the term equilibrium in a folksy sort of way to give you a better idea or insight to what it is really about. Basicaly when we talk of equilibrium we are talking about things that are somehow bound together. You often see in antenna books the squeezed ballon to show how energy is pushed from the rear to the front of the antenna, in that case the balloon is reacting or holding back the pressure inside the balloon so you can see in that case that the inside is in equilibrium by virtue of the holding power of the balloon. Another way of looking at equyilibrium is by placing a bunch of magnetised ball bearings that no matter how you juggle with them they stay together but you can't see any bag holding them together. Well in this case it is the magnetic energy holding things together instead of gravity taking over and pulling them apart one after the other. So how can we use this equilibrium glue thing when dealing with antennas? well you can see now that equoilibrium is really a stand off in forces, two people pushing against each other yet nothing is moving yet it is evident by the sweat that both men are working hard. Same way with the balloon that is holding all that radiation energy together and where the balloon is applying pressure on the energy inside of the balloon and like two men pushing there is no movement going on. If the balloon weakens somewhere you will see that the balloon will swoosh away in an undetermined direction but wait a minite if it is radiation energy we would sure like to push it all in the forward direction for maximum gain. So if we have a bunch of resonant elements in equilibrium containing the means for radiation we have to find a method of providing the break in a ideal position so that the innards are directed the same way. Well what we do with the bunch of radiating elements that are in equilibrium is to place another element into the bunch that is not resonant like it doesn't belong. What we find by doing thid is that all the radiation energy will swirl around striving to get to the weak part remembering that it is only when the energy escapes thru the hole can it start to produce a electrical and magnetic field which creates radiation , where as with a yagi the near field is produced immediatly the driven energy is provided and where the fields generate new field around each element it meets on its journey. So with equilibrium we can break it at any place we want to to provide directivenes where as with a yagi the radiation begins to start forming even tho it is being directed in many different directions. Naturally you can see the advantages of energy going in a single direction versus energy being bounced around until it sees daylight. So back to the beginning we have a bunch of elements that are resonant inside a surface like a balloon where if energy is applied to one of the elements it is sharedf with the other ele4ments immediatly without commensing the radiation trail and by placing a detuned element in the cluster we can chose the directiopn than the energy of each element takes and where it follows its predessesor in releasing its radiative energy. Sound simple but there are difficulties, when you weaken the enclosing force it does produce a major hole for directive purposes however at the same time multiple fissures open in other areas which provides a leakage trail for the swerling innards such that radiative energy on a smaller scale still escaopes to form radiation in other areas than the forward direction envisioned. The next person to come along will address this problem I am sure once presentented with the incentive that this new concept provides. No miricals but one step forward makes all things possible Regards Art art wrote: Jerh each otherry What I am doing is to get away from inline coupling of elements. The Yagi antenna is one of these where all the elements are in line. What I am doing is to arrange a a bunch of elements in a group or cluster such that each and all elements couple with each other rather than the the two elements along side. By doing this and yet making the bunch of elements resonant on their own as well as being driven by one element as with the normal antenna you have to make changes in either the length, dia or material of each element to compensate for all the other factors implanted on them by the proximity of all the other elements in the bunch or cluster. When this is done correctly the bunch of elements are in equilibrium with each other and where each element impedance is devoid or has reactance minimised. The reason for this aproach is the two resistances that you encounter are the resistance of the material used for the element which is where the current flows below the surface and the radiation resistance which is from the current that flows on top of the surface to produce radiation. Since it is radiation that we are concerned with only true resistance is of importance and where reactiveness in the impedances provide no benefit to radiation. The bottom line is that we want to avoid reactivenes whereas the yagi by coupling elements that are untuned or not resonant promotes reactiveness. An example of what this reactiveness does to an array is to make the value curves for gain, back to front and swr all peaking at different frequencies where as the ideal arrangement is to have all the curves peak near the same frequency so that when using the antenna across the band you have a fairly consistent gain figure instead of having to cut it at the high or low end of the band in a compromising effort. When building such an array you take advantage of height in the turning radius of the beam since you dont have to place all elements in a single line as with a yagi which imposes limits on antenna length. by utilising height of the array you can have a smaller rotating radius with the same gain of a yagi with a larger turning radius together with a bandwidth with smoothed variables. Hope that helps and clears some of the mystery away from clustered arrays. This aproach by the way also applies to vertical arrays from which you can get horizontal, vertical and circular radiation where each has its special place of use. Use of academic terms was only provided because some academics don't like change and want to see the same things they see in books and for some reason were taught that talk of statics in the same room as electromagnetics is blasphamy yet they cannot bring forward anything in the books that say they are totally separable. By the way I mentioned Nagy where as it should have been Brown who did so much in recent years in broadcasting and T.V. Have fun with antennas and don't get intimidated by those who learned things in College only to memorise and pass exams instead of using knoweledge to advance the quality of life. Best regards Art Jerry Martes wrote: Hi Art Thanks for taking your time to direct me to some very complex thinking. But, I'm a rather simple guy who isnt well educated. You apparently expect a "just regular guy" like me to understand the ccomplex convoluted theoretical stuff that you write about. When I did work as an antenna design engineer, years ago, I saw some of my buddies working on the distribution of energy across apertures in an effort to shape beams. One of their considerations was to decrease the power to the elements as they were more distant from the center of the array. I remember reading that when the power is tapered to provide a distribution about equivalent to a Gaussian Distribution, the side lobes were minimal. I really enjoy thinking about real antenna construction projects. but, when it gets to the Maxwell's Equation kind of analysis, I get lost. I dont even know what a Vector is. You may have the wrong impression about me, Art, I'm an old guy who wants to have fun with antennas. It isnt necessary for you to tell me to "get back to basics". I dont have interest in the "basics" you refer to. Is it possible for you to tell us (me) what you are referring to without referring to Vectors, Gauss's law, Lorentz, "Nagi", and even elementary calculus? Frankly, Art, you confuse me when you write such scholarly paragraphs. You and I are so far removed from each other intellectually that I can never keep up with your texts. Jerry "art" wrote in message ups.com... Jerry, get back to basics and look up a conservative field relative to Gaussian law. Step 1 It is a group of electric charges with an addition vector of zero. So move backwards and remove that vector if you wish and you have a gaussian field of electrical charges which in the case of a bunch of resonant elements can be seen as all positive or all negative charges and we also know that Gaussian law is valid even for enclosed charges in motion. Step 2 The vector that we removed is known as curl but at this time nit has no valu is the samee tho the vector direction is known. Step 3 Faraday's law of Induced electromotive force. This is somewhat opposite to the consevative field in terms of rotation but in relative terms it where the consevative field is revolving around a magnetic field ( hopefully you can visualise this) So we have a charge q in an element of length ds, which element, at the instant considered has velocity u,experiences a force. Now I know some have difficulty with what I said earlier with respect to adding " at an instant of time) to Gausses law which is the same length of time referred to above as " at the instant considered " Gtep 4 We then examine Lorentz equation which refers to an induced electric field which is present when, for example the magnetic field is changing with time such that v1 = 1/q integral F.ds. You can now see that any CONSERVATIVE force that might be included in F would integrate to zero thus ommiting any electrostatic field that might be present Note again faradays law, it is valid regardloess of the nature of the factor or factors responsible for change in magnetic flux. So now the overview of the cluster of resonant elements projected a conservative field with a magnetic vector of zero reflecting" an instant of time" with respect to resonant elements and where the magnetic field will provide motion to the electrostatic field where all charges will exibit the same direction of charge and will change in unison Now no amount of writing will get you to understand this flow of concept if you are not willing to have an open mind or think around something that at the present time you fail to understand and are not willing to rethink thing, possibly in a different way than I presented it. If you are so inclined you can go back further in history and play with the 4 vertical array of elements formed by Nagi to obtain possible insights since he also worked with an array of vertical elements all of which were resonant. His work has been rechecked via Matlab and found to be correct so you have a viable path to follow if you have a modicom of interest in this new concept. It must be noted that the above is only a partial description of the concept because I have yet to add a detuned element for directional purposes for the radiation field. There is nothing more that I can add that will persuade you to follow thru with this concept so I believe I have now reached the Rubicon with respect to this vision of mine. If you can't understand it now put it down to me not being smart enough to explain clearly electromagnetics to those skilled in the art which I am now finding to be a hopeless task at least here in the U.S. unless one can read it in a book and memorise it so one can pass an exam.. Art Jerry Martes wrote: "JIMMIE" wrote in message ups.com... Dave wrote: "art" wrote in message ups.com... In the thread Rain static I referred to a closed surface which is clearly defined by Gauss's law. Gauss's law doesn't define a surface, the surface is any arbitrary surface surrounding a charge. Let us now look at a time vary field applied to a dielectric. I fht efield is applied for the shortest of time the charges will stay on the surface. If time is longer than the shortest space of time you make it sound like there is some 'shortest' time where charges won't move. this is not true. no matter how short you make the time it will move the charges. then charges will openetrate the closed surface. If the surface is an insulator type then it takes a long while to penetrate but if the surface Here you mix up 'surface' and 'surface'. the gauss's law 'surface' is a mathematically useful construction around a charge, it does not have any charge 'on' it, nor is there any 'penetration' of it by charge in gauss's law. it is strictly a non-material thing that is used only for calculation purposes. is a good conductor then the charges will penetrate very quickly so we can associate the time constant of penetration to the subject of skin depth. If we are to associate the time varying field to a gaussian field you have yet to define a 'gaussian field'. gauss's law applies to electric fields and their relation to charges. all the excess charges must be on the surface by law. only in a 'perfect' conductor. dielectrics and 'empty' space can have distributed charges throughout. Or in other words the time evolved must be shorter than the time required to begin penetration. huh? it just goes down hill from here. write some equations, do some drawings, publish a manuscript. all the rest is empty handwaving based on incorrect assumptions and missing definitions. Thus for a short space of time all charges are on the surface and the charges have a magnhe radiating eneetic and electric field vectors. Just having charges is not enough to convert to a gaussian field in that a gaussian field must be in equilibrium thus a cluster of elements must have the direction of the surface charges change in unison. For a cluster of elements to do this they must all be resonant such that the charges reach the ends of the elements at the same time. Resonance of an element is determined by its diameter and its length and because it is coupled to other elements in the cluster the coupling must be taken into account to secure resonance of not only the individual elements but of the cluster as a whole. When this is accomplished the charges on the surface of the closed volume are in equilibrium but onty for that shortest of short time and where that time is added to the gaussian formulae for the transition to be complete. For the Gaussian field or volume we can say the energy inside the gaussian field is equal to that supplied by flux to the outside of the border and remember the flux inside consists of magnetic and electric vectoirs. We now can say that in a moment of time the flux produced from each element that breaches the border in summation with the other elements is equal to the radiating field outside of the border when each element energy makes the transmittion. Thus the summation of each of the clustered elements individual energy when the vectors are given a value must equal the flux on the outside of the border that produces radiation. We also know that if we have a cluster of elements that are clustered together we can obtain radiation by just applying a time varing field to just one of the elements and by virtue of intercoupling all the radiating energy will leave the near field. Thus we have two different methods of determining the value of the radiated field ! radiation from the clustered within a Gaussian field and 2 radiation from an array of coupled elements Since the elements within the cluster are all of the same "Q'" the determination of all factors in the resulting equation are simplified to Ohms law and where the laborious coupling calculations are omitted. The above describes in first principles as to how a Gaussian field in a short space of time can be equated to a radiating cluster using existing laws of the masters which also embraces NEC code. Now many have said I have no understanding of radiation concepts so go ahead and tear this apart and have a merry Xmas doing it Art Unwin KB9MZ..........XG It appears Art has picked up some phrases haphazardly and is trying to apply them to antennas some how, If I remember correctly doesnt Gaussian field apply to statistical distribution. Been a long time since I had statistical analysis back in the early 70s but I think this is also refered to as a "normal distribution". Hi Jimmy By my standards, you are *Right On* on all you wrote. I'm pretty sure Gaussian distribution of power across a radiating plane results (theoretically) in zero side lobes, That is also a very poor distribution when gain is a goal. I think the term Normal is synonymous with Gaussian when referring to aperture distribution. Jerry |
Gaussian law and time varying fields
No Jerry You couldn't be more wrong. I am not talking down to you
I am responding in a way that didn't involve technical terms but evolved around the every day world. I could have quoted the law of every action has an equal and opposite reaction but I didn't think that fitted in with your request. Some people measure work as being the amount moved rather than the release of energy so I wanted to portray an amount of contained energy or potential energy which when allowed escapes the hold of equilibrium so the radiation process can start. I used the magnetised bearing to follow up where the retaining surface was not visible but still there as a magnetic field. I don't know of another way of explaining it unless I want to be preyed apon by spam. Jerry I am sharing things so people can participate in my journey. You must know I am very interested in what I am pursueing otherwise I would have just collapsed in the face of the naysayers. if you wish to pursue my line of thought but are concerned how others view you then keep everything to a private Email. It does not serve me well to make enemies in this group if my idea is to debate my thought though some do enjoy the thinking that the result elevates their iwn status and you learn to live with that. I responded to you in a lengthy dialogue which was in kind with your request which did not provide animosity of any sort which provided me the impetus to respond in the same manner. Jerry you haven't attacked me you were polite so have a rethink about this debate, I am sharing not taking Very best regards Art Jerry Martes wrote: Hi Art I have to tell you that I am beginning to loose interest in this thread. I read about "equilibrium" and began to wonder what that meant in a discussion about a cluster of radiators. Then, when you explained equilibrium in terms of balloons, ball bearings and sweat, I began to wonder if you are pulling my leg. Now, I really feel like a guy who went snipe hunting and got left out alone all night. You are playing with me, aren't you?? I asked for data and dimensions so I could work *with* you to better understand your "Cluster" You reply to my request for information with sentences like this -- Sound simple but there are difficulties, when you weaken the enclosing force it does produce a major hole for directive purposes however at the same time multiple fissures open in other areas which provides a leakage trail for the swerling innards such that radiative energy on a smaller scale still escaopes to form radiation in other areas than the forward direction envisioned. If your goal is to show that I am too stupid to know when I am being tricked, you won. Jerry "art" wrote in message ps.com... Jerry, Let me take the opportunity of explaning the term equilibrium in a folksy sort of way to give you a better idea or insight to what it is really about. Basicaly when we talk of equilibrium we are talking about things that are somehow bound together. You often see in antenna books the squeezed ballon to show how energy is pushed from the rear to the front of the antenna, in that case the balloon is reacting or holding back the pressure inside the balloon so you can see in that case that the inside is in equilibrium by virtue of the holding power of the balloon. Another way of looking at equyilibrium is by placing a bunch of magnetised ball bearings that no matter how you juggle with them they stay together but you can't see any bag holding them together. Well in this case it is the magnetic energy holding things together instead of gravity taking over and pulling them apart one after the other. So how can we use this equilibrium glue thing when dealing with antennas? well you can see now that equoilibrium is really a stand off in forces, two people pushing against each other yet nothing is moving yet it is evident by the sweat that both men are working hard. Same way with the balloon that is holding all that radiation energy together and where the balloon is applying pressure on the energy inside of the balloon and like two men pushing there is no movement going on. If the balloon weakens somewhere you will see that the balloon will swoosh away in an undetermined direction but wait a minite if it is radiation energy we would sure like to push it all in the forward direction for maximum gain. So if we have a bunch of resonant elements in equilibrium containing the means for radiation we have to find a method of providing the break in a ideal position so that the innards are directed the same way. Well what we do with the bunch of radiating elements that are in equilibrium is to place another element into the bunch that is not resonant like it doesn't belong. What we find by doing thid is that all the radiation energy will swirl around striving to get to the weak part remembering that it is only when the energy escapes thru the hole can it start to produce a electrical and magnetic field which creates radiation , where as with a yagi the near field is produced immediatly the driven energy is provided and where the fields generate new field around each element it meets on its journey. So with equilibrium we can break it at any place we want to to provide directivenes where as with a yagi the radiation begins to start forming even tho it is being directed in many different directions. Naturally you can see the advantages of energy going in a single direction versus energy being bounced around until it sees daylight. So back to the beginning we have a bunch of elements that are resonant inside a surface like a balloon where if energy is applied to one of the elements it is sharedf with the other ele4ments immediatly without commensing the radiation trail and by placing a detuned element in the cluster we can chose the directiopn than the energy of each element takes and where it follows its predessesor in releasing its radiative energy. Sound simple but there are difficulties, when you weaken the enclosing force it does produce a major hole for directive purposes however at the same time multiple fissures open in other areas which provides a leakage trail for the swerling innards such that radiative energy on a smaller scale still escaopes to form radiation in other areas than the forward direction envisioned. The next person to come along will address this problem I am sure once presentented with the incentive that this new concept provides. No miricals but one step forward makes all things possible Regards Art art wrote: Jerh each otherry What I am doing is to get away from inline coupling of elements. The Yagi antenna is one of these where all the elements are in line. What I am doing is to arrange a a bunch of elements in a group or cluster such that each and all elements couple with each other rather than the the two elements along side. By doing this and yet making the bunch of elements resonant on their own as well as being driven by one element as with the normal antenna you have to make changes in either the length, dia or material of each element to compensate for all the other factors implanted on them by the proximity of all the other elements in the bunch or cluster. When this is done correctly the bunch of elements are in equilibrium with each other and where each element impedance is devoid or has reactance minimised. The reason for this aproach is the two resistances that you encounter are the resistance of the material used for the element which is where the current flows below the surface and the radiation resistance which is from the current that flows on top of the surface to produce radiation. Since it is radiation that we are concerned with only true resistance is of importance and where reactiveness in the impedances provide no benefit to radiation. The bottom line is that we want to avoid reactivenes whereas the yagi by coupling elements that are untuned or not resonant promotes reactiveness. An example of what this reactiveness does to an array is to make the value curves for gain, back to front and swr all peaking at different frequencies where as the ideal arrangement is to have all the curves peak near the same frequency so that when using the antenna across the band you have a fairly consistent gain figure instead of having to cut it at the high or low end of the band in a compromising effort. When building such an array you take advantage of height in the turning radius of the beam since you dont have to place all elements in a single line as with a yagi which imposes limits on antenna length. by utilising height of the array you can have a smaller rotating radius with the same gain of a yagi with a larger turning radius together with a bandwidth with smoothed variables. Hope that helps and clears some of the mystery away from clustered arrays. This aproach by the way also applies to vertical arrays from which you can get horizontal, vertical and circular radiation where each has its special place of use. Use of academic terms was only provided because some academics don't like change and want to see the same things they see in books and for some reason were taught that talk of statics in the same room as electromagnetics is blasphamy yet they cannot bring forward anything in the books that say they are totally separable. By the way I mentioned Nagy where as it should have been Brown who did so much in recent years in broadcasting and T.V. Have fun with antennas and don't get intimidated by those who learned things in College only to memorise and pass exams instead of using knoweledge to advance the quality of life. Best regards Art Jerry Martes wrote: Hi Art Thanks for taking your time to direct me to some very complex thinking. But, I'm a rather simple guy who isnt well educated. You apparently expect a "just regular guy" like me to understand the ccomplex convoluted theoretical stuff that you write about. When I did work as an antenna design engineer, years ago, I saw some of my buddies working on the distribution of energy across apertures in an effort to shape beams. One of their considerations was to decrease the power to the elements as they were more distant from the center of the array. I remember reading that when the power is tapered to provide a distribution about equivalent to a Gaussian Distribution, the side lobes were minimal. I really enjoy thinking about real antenna construction projects. but, when it gets to the Maxwell's Equation kind of analysis, I get lost. I dont even know what a Vector is. You may have the wrong impression about me, Art, I'm an old guy who wants to have fun with antennas. It isnt necessary for you to tell me to "get back to basics". I dont have interest in the "basics" you refer to. Is it possible for you to tell us (me) what you are referring to without referring to Vectors, Gauss's law, Lorentz, "Nagi", and even elementary calculus? Frankly, Art, you confuse me when you write such scholarly paragraphs. You and I are so far removed from each other intellectually that I can never keep up with your texts. Jerry "art" wrote in message ups.com... Jerry, get back to basics and look up a conservative field relative to Gaussian law. Step 1 It is a group of electric charges with an addition vector of zero. So move backwards and remove that vector if you wish and you have a gaussian field of electrical charges which in the case of a bunch of resonant elements can be seen as all positive or all negative charges and we also know that Gaussian law is valid even for enclosed charges in motion. Step 2 The vector that we removed is known as curl but at this time nit has no valu is the samee tho the vector direction is known. Step 3 Faraday's law of Induced electromotive force. This is somewhat opposite to the consevative field in terms of rotation but in relative terms it where the consevative field is revolving around a magnetic field ( hopefully you can visualise this) So we have a charge q in an element of length ds, which element, at the instant considered has velocity u,experiences a force. Now I know some have difficulty with what I said earlier with respect to adding " at an instant of time) to Gausses law which is the same length of time referred to above as " at the instant considered " Gtep 4 We then examine Lorentz equation which refers to an induced electric field which is present when, for example the magnetic field is changing with time such that v1 = 1/q integral F.ds. You can now see that any CONSERVATIVE force that might be included in F would integrate to zero thus ommiting any electrostatic field that might be present Note again faradays law, it is valid regardloess of the nature of the factor or factors responsible for change in magnetic flux. So now the overview of the cluster of resonant elements projected a conservative field with a magnetic vector of zero reflecting" an instant of time" with respect to resonant elements and where the magnetic field will provide motion to the electrostatic field where all charges will exibit the same direction of charge and will change in unison Now no amount of writing will get you to understand this flow of concept if you are not willing to have an open mind or think around something that at the present time you fail to understand and are not willing to rethink thing, possibly in a different way than I presented it. If you are so inclined you can go back further in history and play with the 4 vertical array of elements formed by Nagi to obtain possible insights since he also worked with an array of vertical elements all of which were resonant. His work has been rechecked via Matlab and found to be correct so you have a viable path to follow if you have a modicom of interest in this new concept. It must be noted that the above is only a partial description of the concept because I have yet to add a detuned element for directional purposes for the radiation field. There is nothing more that I can add that will persuade you to follow thru with this concept so I believe I have now reached the Rubicon with respect to this vision of mine. If you can't understand it now put it down to me not being smart enough to explain clearly electromagnetics to those skilled in the art which I am now finding to be a hopeless task at least here in the U.S. unless one can read it in a book and memorise it so one can pass an exam.. Art Jerry Martes wrote: "JIMMIE" wrote in message ups.com... Dave wrote: "art" wrote in message ups.com... In the thread Rain static I referred to a closed surface which is clearly defined by Gauss's law. Gauss's law doesn't define a surface, the surface is any arbitrary surface surrounding a charge. Let us now look at a time vary field applied to a dielectric. I fht efield is applied for the shortest of time the charges will stay on the surface. If time is longer than the shortest space of time you make it sound like there is some 'shortest' time where charges won't move. this is not true. no matter how short you make the time it will move the charges. then charges will openetrate the closed surface. If the surface is an insulator type then it takes a long while to penetrate but if the surface Here you mix up 'surface' and 'surface'. the gauss's law 'surface' is a mathematically useful construction around a charge, it does not have any charge 'on' it, nor is there any 'penetration' of it by charge in gauss's law. it is strictly a non-material thing that is used only for calculation purposes. is a good conductor then the charges will penetrate very quickly so we can associate the time constant of penetration to the subject of skin depth. If we are to associate the time varying field to a gaussian field you have yet to define a 'gaussian field'. gauss's law applies to electric fields and their relation to charges. all the excess charges must be on the surface by law. only in a 'perfect' conductor. dielectrics and 'empty' space can have distributed charges throughout. Or in other words the time evolved must be shorter than the time required to begin penetration. huh? it just goes down hill from here. write some equations, do some drawings, publish a manuscript. all the rest is empty handwaving based on incorrect assumptions and missing definitions. Thus for a short space of time all charges are on the surface and the charges have a magnhe radiating eneetic and electric field vectors. Just having charges is not enough to convert to a gaussian field in that a gaussian field must be in equilibrium thus a cluster of elements must have the direction of the surface charges change in unison. For a cluster of elements to do this they must all be resonant such that the charges reach the ends of the elements at the same time. Resonance of an element is determined by its diameter and its length and because it is coupled to other elements in the cluster the coupling must be taken into account to secure resonance of not only the individual elements but of the cluster as a whole. When this is accomplished the charges on the surface of the closed volume are in equilibrium but onty for that shortest of short time and where that time is added to the gaussian formulae for the transition to be complete. For the Gaussian field or volume we can say the energy inside the gaussian field is equal to that supplied by flux to the outside of the border and remember the flux inside consists of magnetic and electric vectoirs. We now can say that in a moment of time the flux produced from each element that breaches the border in summation with the other elements is equal to the radiating field outside of the border when each element energy makes the transmittion. Thus the summation of each of the clustered elements individual energy when the vectors are given a value must equal the flux on the outside of the border that produces radiation. We also know that if we have a cluster of elements that are clustered together we can obtain radiation by just applying a time varing field to just one of the elements and by virtue of intercoupling all the radiating energy will leave the near field. Thus we have two different methods of determining the value of the radiated field ! radiation from the clustered within a Gaussian field and 2 radiation from an array of coupled elements Since the elements within the cluster are all of the same "Q'" the determination of all factors in the resulting equation are simplified to Ohms law and where the laborious coupling calculations are omitted. The above describes in first principles as to how a Gaussian field in a short space of time can be equated to a radiating cluster using existing laws of the masters which also embraces NEC code. Now many have said I have no understanding of radiation concepts so go ahead and tear this apart and have a merry Xmas doing it Art Unwin KB9MZ..........XG It appears Art has picked up some phrases haphazardly and is trying to apply them to antennas some how, If I remember correctly doesnt Gaussian field apply to statistical distribution. Been a long time since I had statistical analysis back in the early 70s but I think this is also refered to as a "normal distribution". Hi Jimmy By my standards, you are *Right On* on all you wrote. I'm pretty sure Gaussian distribution of power across a radiating plane results (theoretically) in zero side lobes, That is also a very poor distribution when gain is a goal. I think the term Normal is synonymous with Gaussian when referring to aperture distribution. Jerry |
Gaussian law and time varying fields
Jerry Martes wrote:
Hi Art Thanks for taking your time to direct me to some very complex thinking. But, I'm a rather simple guy who isnt well educated. You apparently expect a "just regular guy" like me to understand the ccomplex convoluted theoretical stuff that you write about. . . . Don't feel bad, Jerry. Quite a few of us who do have an engineering education and a lot of experience with antennas don't understand Art's postings either. Roy Lewallen, W7EL |
Gaussian law and time varying fields
He knows that Roy, in your absence there have been many that filled in
for you with disparaging remarks Isn't that what ham radio is all about? What do you think your entrance to this thread acomplished with such a remark. For me it helps to understand what is behind your mask and it doesn't appear to be of a christian format. A lot of people have had experience with antennas but repeating the same old thing over and over again with constant postering is not something I desire. Hopefully the gentleman read my response before he saw the poison that you laid down to guide the thread in a direction more suitable for your talents Roy Lewallen wrote: Jerry Martes wrote: Hi Art Thanks for taking your time to direct me to some very complex thinking. But, I'm a rather simple guy who isnt well educated. You apparently expect a "just regular guy" like me to understand the ccomplex convoluted theoretical stuff that you write about. . . . Don't feel bad, Jerry. Quite a few of us who do have an engineering education and a lot of experience with antennas don't understand Art's postings either. Roy Lewallen, W7EL |
Gaussian law and time varying fields
OK Art, if you say that you arent actually "pulling my leg", perhaps *I* can help *you*. It doesnt require computer literacy to be able to use Roy's EZNEC. I am perhaps the least computer savy reader of this News Group. But, I am beginning to learn things with this antenna modeling program. I suggest to you that you will benefit so much as the result of buying Roy's program that you will thank me for having suggested it to you. I dont consider it appropriate to use the free EZNEC program. The "paid for" version has somewhat improved capabilities. And the cost of that program is far less than the excellent test equipment you now have. It just seems Right to buy from Roy since he took so much time to make such a capable tool for us. Go to Roy and buy the program best suited for analyzing your concept. It is actually fun to see that program at work. You wont regret having EZNEC in your "tool box". Value per dollar, there is no tool available to the antenna designer that is better than EZNEC. Try it, you'll like it. Jerry "art" wrote in message ups.com... No Jerry You couldn't be more wrong. I am not talking down to you I am responding in a way that didn't involve technical terms but evolved around the every day world. I could have quoted the law of every action has an equal and opposite reaction but I didn't think that fitted in with your request. Some people measure work as being the amount moved rather than the release of energy so I wanted to portray an amount of contained energy or potential energy which when allowed escapes the hold of equilibrium so the radiation process can start. I used the magnetised bearing to follow up where the retaining surface was not visible but still there as a magnetic field. I don't know of another way of explaining it unless I want to be preyed apon by spam. Jerry I am sharing things so people can participate in my journey. You must know I am very interested in what I am pursueing otherwise I would have just collapsed in the face of the naysayers. if you wish to pursue my line of thought but are concerned how others view you then keep everything to a private Email. It does not serve me well to make enemies in this group if my idea is to debate my thought though some do enjoy the thinking that the result elevates their iwn status and you learn to live with that. I responded to you in a lengthy dialogue which was in kind with your request which did not provide animosity of any sort which provided me the impetus to respond in the same manner. Jerry you haven't attacked me you were polite so have a rethink about this debate, I am sharing not taking Very best regards Art Jerry Martes wrote: Hi Art I have to tell you that I am beginning to loose interest in this thread. I read about "equilibrium" and began to wonder what that meant in a discussion about a cluster of radiators. Then, when you explained equilibrium in terms of balloons, ball bearings and sweat, I began to wonder if you are pulling my leg. Now, I really feel like a guy who went snipe hunting and got left out alone all night. You are playing with me, aren't you?? I asked for data and dimensions so I could work *with* you to better understand your "Cluster" You reply to my request for information with sentences like this -- Sound simple but there are difficulties, when you weaken the enclosing force it does produce a major hole for directive purposes however at the same time multiple fissures open in other areas which provides a leakage trail for the swerling innards such that radiative energy on a smaller scale still escaopes to form radiation in other areas than the forward direction envisioned. If your goal is to show that I am too stupid to know when I am being tricked, you won. Jerry "art" wrote in message ps.com... Jerry, Let me take the opportunity of explaning the term equilibrium in a folksy sort of way to give you a better idea or insight to what it is really about. Basicaly when we talk of equilibrium we are talking about things that are somehow bound together. You often see in antenna books the squeezed ballon to show how energy is pushed from the rear to the front of the antenna, in that case the balloon is reacting or holding back the pressure inside the balloon so you can see in that case that the inside is in equilibrium by virtue of the holding power of the balloon. Another way of looking at equyilibrium is by placing a bunch of magnetised ball bearings that no matter how you juggle with them they stay together but you can't see any bag holding them together. Well in this case it is the magnetic energy holding things together instead of gravity taking over and pulling them apart one after the other. So how can we use this equilibrium glue thing when dealing with antennas? well you can see now that equoilibrium is really a stand off in forces, two people pushing against each other yet nothing is moving yet it is evident by the sweat that both men are working hard. Same way with the balloon that is holding all that radiation energy together and where the balloon is applying pressure on the energy inside of the balloon and like two men pushing there is no movement going on. If the balloon weakens somewhere you will see that the balloon will swoosh away in an undetermined direction but wait a minite if it is radiation energy we would sure like to push it all in the forward direction for maximum gain. So if we have a bunch of resonant elements in equilibrium containing the means for radiation we have to find a method of providing the break in a ideal position so that the innards are directed the same way. Well what we do with the bunch of radiating elements that are in equilibrium is to place another element into the bunch that is not resonant like it doesn't belong. What we find by doing thid is that all the radiation energy will swirl around striving to get to the weak part remembering that it is only when the energy escapes thru the hole can it start to produce a electrical and magnetic field which creates radiation , where as with a yagi the near field is produced immediatly the driven energy is provided and where the fields generate new field around each element it meets on its journey. So with equilibrium we can break it at any place we want to to provide directivenes where as with a yagi the radiation begins to start forming even tho it is being directed in many different directions. Naturally you can see the advantages of energy going in a single direction versus energy being bounced around until it sees daylight. So back to the beginning we have a bunch of elements that are resonant inside a surface like a balloon where if energy is applied to one of the elements it is sharedf with the other ele4ments immediatly without commensing the radiation trail and by placing a detuned element in the cluster we can chose the directiopn than the energy of each element takes and where it follows its predessesor in releasing its radiative energy. Sound simple but there are difficulties, when you weaken the enclosing force it does produce a major hole for directive purposes however at the same time multiple fissures open in other areas which provides a leakage trail for the swerling innards such that radiative energy on a smaller scale still escaopes to form radiation in other areas than the forward direction envisioned. The next person to come along will address this problem I am sure once presentented with the incentive that this new concept provides. No miricals but one step forward makes all things possible Regards Art art wrote: Jerh each otherry What I am doing is to get away from inline coupling of elements. The Yagi antenna is one of these where all the elements are in line. What I am doing is to arrange a a bunch of elements in a group or cluster such that each and all elements couple with each other rather than the the two elements along side. By doing this and yet making the bunch of elements resonant on their own as well as being driven by one element as with the normal antenna you have to make changes in either the length, dia or material of each element to compensate for all the other factors implanted on them by the proximity of all the other elements in the bunch or cluster. When this is done correctly the bunch of elements are in equilibrium with each other and where each element impedance is devoid or has reactance minimised. The reason for this aproach is the two resistances that you encounter are the resistance of the material used for the element which is where the current flows below the surface and the radiation resistance which is from the current that flows on top of the surface to produce radiation. Since it is radiation that we are concerned with only true resistance is of importance and where reactiveness in the impedances provide no benefit to radiation. The bottom line is that we want to avoid reactivenes whereas the yagi by coupling elements that are untuned or not resonant promotes reactiveness. An example of what this reactiveness does to an array is to make the value curves for gain, back to front and swr all peaking at different frequencies where as the ideal arrangement is to have all the curves peak near the same frequency so that when using the antenna across the band you have a fairly consistent gain figure instead of having to cut it at the high or low end of the band in a compromising effort. When building such an array you take advantage of height in the turning radius of the beam since you dont have to place all elements in a single line as with a yagi which imposes limits on antenna length. by utilising height of the array you can have a smaller rotating radius with the same gain of a yagi with a larger turning radius together with a bandwidth with smoothed variables. Hope that helps and clears some of the mystery away from clustered arrays. This aproach by the way also applies to vertical arrays from which you can get horizontal, vertical and circular radiation where each has its special place of use. Use of academic terms was only provided because some academics don't like change and want to see the same things they see in books and for some reason were taught that talk of statics in the same room as electromagnetics is blasphamy yet they cannot bring forward anything in the books that say they are totally separable. By the way I mentioned Nagy where as it should have been Brown who did so much in recent years in broadcasting and T.V. Have fun with antennas and don't get intimidated by those who learned things in College only to memorise and pass exams instead of using knoweledge to advance the quality of life. Best regards Art Jerry Martes wrote: Hi Art Thanks for taking your time to direct me to some very complex thinking. But, I'm a rather simple guy who isnt well educated. You apparently expect a "just regular guy" like me to understand the ccomplex convoluted theoretical stuff that you write about. When I did work as an antenna design engineer, years ago, I saw some of my buddies working on the distribution of energy across apertures in an effort to shape beams. One of their considerations was to decrease the power to the elements as they were more distant from the center of the array. I remember reading that when the power is tapered to provide a distribution about equivalent to a Gaussian Distribution, the side lobes were minimal. I really enjoy thinking about real antenna construction projects. but, when it gets to the Maxwell's Equation kind of analysis, I get lost. I dont even know what a Vector is. You may have the wrong impression about me, Art, I'm an old guy who wants to have fun with antennas. It isnt necessary for you to tell me to "get back to basics". I dont have interest in the "basics" you refer to. Is it possible for you to tell us (me) what you are referring to without referring to Vectors, Gauss's law, Lorentz, "Nagi", and even elementary calculus? Frankly, Art, you confuse me when you write such scholarly paragraphs. You and I are so far removed from each other intellectually that I can never keep up with your texts. Jerry "art" wrote in message ups.com... Jerry, get back to basics and look up a conservative field relative to Gaussian law. Step 1 It is a group of electric charges with an addition vector of zero. So move backwards and remove that vector if you wish and you have a gaussian field of electrical charges which in the case of a bunch of resonant elements can be seen as all positive or all negative charges and we also know that Gaussian law is valid even for enclosed charges in motion. Step 2 The vector that we removed is known as curl but at this time nit has no valu is the samee tho the vector direction is known. Step 3 Faraday's law of Induced electromotive force. This is somewhat opposite to the consevative field in terms of rotation but in relative terms it where the consevative field is revolving around a magnetic field ( hopefully you can visualise this) So we have a charge q in an element of length ds, which element, at the instant considered has velocity u,experiences a force. Now I know some have difficulty with what I said earlier with respect to adding " at an instant of time) to Gausses law which is the same length of time referred to above as " at the instant considered " Gtep 4 We then examine Lorentz equation which refers to an induced electric field which is present when, for example the magnetic field is changing with time such that v1 = 1/q integral F.ds. You can now see that any CONSERVATIVE force that might be included in F would integrate to zero thus ommiting any electrostatic field that might be present Note again faradays law, it is valid regardloess of the nature of the factor or factors responsible for change in magnetic flux. So now the overview of the cluster of resonant elements projected a conservative field with a magnetic vector of zero reflecting" an instant of time" with respect to resonant elements and where the magnetic field will provide motion to the electrostatic field where all charges will exibit the same direction of charge and will change in unison Now no amount of writing will get you to understand this flow of concept if you are not willing to have an open mind or think around something that at the present time you fail to understand and are not willing to rethink thing, possibly in a different way than I presented it. If you are so inclined you can go back further in history and play with the 4 vertical array of elements formed by Nagi to obtain possible insights since he also worked with an array of vertical elements all of which were resonant. His work has been rechecked via Matlab and found to be correct so you have a viable path to follow if you have a modicom of interest in this new concept. It must be noted that the above is only a partial description of the concept because I have yet to add a detuned element for directional purposes for the radiation field. There is nothing more that I can add that will persuade you to follow thru with this concept so I believe I have now reached the Rubicon with respect to this vision of mine. If you can't understand it now put it down to me not being smart enough to explain clearly electromagnetics to those skilled in the art which I am now finding to be a hopeless task at least here in the U.S. unless one can read it in a book and memorise it so one can pass an exam.. Art Jerry Martes wrote: "JIMMIE" wrote in message ups.com... Dave wrote: "art" wrote in message ups.com... In the thread Rain static I referred to a closed surface which is clearly defined by Gauss's law. Gauss's law doesn't define a surface, the surface is any arbitrary surface surrounding a charge. Let us now look at a time vary field applied to a dielectric. I fht efield is applied for the shortest of time the charges will stay on the surface. If time is longer than the shortest space of time you make it sound like there is some 'shortest' time where charges won't move. this is not true. no matter how short you make the time it will move the charges. then charges will openetrate the closed surface. If the surface is an insulator type then it takes a long while to penetrate but if the surface Here you mix up 'surface' and 'surface'. the gauss's law 'surface' is a mathematically useful construction around a charge, it does not have any charge 'on' it, nor is there any 'penetration' of it by charge in gauss's law. it is strictly a non-material thing that is used only for calculation purposes. is a good conductor then the charges will penetrate very quickly so we can associate the time constant of penetration to the subject of skin depth. If we are to associate the time varying field to a gaussian field you have yet to define a 'gaussian field'. gauss's law applies to electric fields and their relation to charges. all the excess charges must be on the surface by law. only in a 'perfect' conductor. dielectrics and 'empty' space can have distributed charges throughout. Or in other words the time evolved must be shorter than the time required to begin penetration. huh? it just goes down hill from here. write some equations, do some drawings, publish a manuscript. all the rest is empty handwaving based on incorrect assumptions and missing definitions. Thus for a short space of time all charges are on the surface and the charges have a magnhe radiating eneetic and electric field vectors. Just having charges is not enough to convert to a gaussian field in that a gaussian field must be in equilibrium thus a cluster of elements must have the direction of the surface charges change in unison. For a cluster of elements to do this they must all be resonant such that the charges reach the ends of the elements at the same time. Resonance of an element is determined by its diameter and its length and because it is coupled to other elements in the cluster the coupling must be taken into account to secure resonance of not only the individual elements but of the cluster as a whole. When this is accomplished the charges on the surface of the closed volume are in equilibrium but onty for that shortest of short time and where that time is added to the gaussian formulae for the transition to be complete. For the Gaussian field or volume we can say the energy inside the gaussian field is equal to that supplied by flux to the outside of the border and remember the flux inside consists of magnetic and electric vectoirs. We now can say that in a moment of time the flux produced from each element that breaches the border in summation with the other elements is equal to the radiating field outside of the border when each element energy makes the transmittion. Thus the summation of each of the clustered elements individual energy when the vectors are given a value must equal the flux on the outside of the border that produces radiation. We also know that if we have a cluster of elements that are clustered together we can obtain radiation by just applying a time varing field to just one of the elements and by virtue of intercoupling all the radiating energy will leave the near field. Thus we have two different methods of determining the value of the radiated field ! radiation from the clustered within a Gaussian field and 2 radiation from an array of coupled elements Since the elements within the cluster are all of the same "Q'" the determination of all factors in the resulting equation are simplified to Ohms law and where the laborious coupling calculations are omitted. The above describes in first principles as to how a Gaussian field in a short space of time can be equated to a radiating cluster using existing laws of the masters which also embraces NEC code. Now many have said I have no understanding of radiation concepts so go ahead and tear this apart and have a merry Xmas doing it Art Unwin KB9MZ..........XG It appears Art has picked up some phrases haphazardly and is trying to apply them to antennas some how, If I remember correctly doesnt Gaussian field apply to statistical distribution. Been a long time since I had statistical analysis back in the early 70s but I think this is also refered to as a "normal distribution". Hi Jimmy By my standards, you are *Right On* on all you wrote. I'm pretty sure Gaussian distribution of power across a radiating plane results (theoretically) in zero side lobes, That is also a very poor distribution when gain is a goal. I think the term Normal is synonymous with Gaussian when referring to aperture distribution. Jerry |
Gaussian law and time varying fields
Jerry I am sure that a lot of people are happy with the purchase of
EZNEC but it doesn't suit my purposes True I paid a lot more money that it would cost to buy EZNEC but I wanted a program that would teach me more than what a design provides. For instance if an element could be placed in a more desirable position I want it to move it. If the program determines to bend the element in a more desirable way then I want it to have the freedom to do it. In other words I need a program that helps me not just shrug its shoulders emphasising the dumbness of the program. If you really want to get into modelling then have a go with MATLAB which is extremely versatile and gaining in use by the pro's On the other hand if you want to design a yagi it will respond to your needs, not what you want it to do but to add up the numbers for the array that you provide it and nothing more. Best regards Art Jerry Martes wrote: OK Art, if you say that you arent actually "pulling my leg", perhaps *I* can help *you*. It doesnt require computer literacy to be able to use Roy's EZNEC. I am perhaps the least computer savy reader of this News Group. But, I am beginning to learn things with this antenna modeling program. I suggest to you that you will benefit so much as the result of buying Roy's program that you will thank me for having suggested it to you. I dont consider it appropriate to use the free EZNEC program. The "paid for" version has somewhat improved capabilities. And the cost of that program is far less than the excellent test equipment you now have. It just seems Right to buy from Roy since he took so much time to make such a capable tool for us. Go to Roy and buy the program best suited for analyzing your concept. It is actually fun to see that program at work. You wont regret having EZNEC in your "tool box". Value per dollar, there is no tool available to the antenna designer that is better than EZNEC. Try it, you'll like it. Jerry "art" wrote in message ups.com... No Jerry You couldn't be more wrong. I am not talking down to you I am responding in a way that didn't involve technical terms but evolved around the every day world. I could have quoted the law of every action has an equal and opposite reaction but I didn't think that fitted in with your request. Some people measure work as being the amount moved rather than the release of energy so I wanted to portray an amount of contained energy or potential energy which when allowed escapes the hold of equilibrium so the radiation process can start. I used the magnetised bearing to follow up where the retaining surface was not visible but still there as a magnetic field. I don't know of another way of explaining it unless I want to be preyed apon by spam. Jerry I am sharing things so people can participate in my journey. You must know I am very interested in what I am pursueing otherwise I would have just collapsed in the face of the naysayers. if you wish to pursue my line of thought but are concerned how others view you then keep everything to a private Email. It does not serve me well to make enemies in this group if my idea is to debate my thought though some do enjoy the thinking that the result elevates their iwn status and you learn to live with that. I responded to you in a lengthy dialogue which was in kind with your request which did not provide animosity of any sort which provided me the impetus to respond in the same manner. Jerry you haven't attacked me you were polite so have a rethink about this debate, I am sharing not taking Very best regards Art Jerry Martes wrote: Hi Art I have to tell you that I am beginning to loose interest in this thread. I read about "equilibrium" and began to wonder what that meant in a discussion about a cluster of radiators. Then, when you explained equilibrium in terms of balloons, ball bearings and sweat, I began to wonder if you are pulling my leg. Now, I really feel like a guy who went snipe hunting and got left out alone all night. You are playing with me, aren't you?? I asked for data and dimensions so I could work *with* you to better understand your "Cluster" You reply to my request for information with sentences like this -- Sound simple but there are difficulties, when you weaken the enclosing force it does produce a major hole for directive purposes however at the same time multiple fissures open in other areas which provides a leakage trail for the swerling innards such that radiative energy on a smaller scale still escaopes to form radiation in other areas than the forward direction envisioned. If your goal is to show that I am too stupid to know when I am being tricked, you won. Jerry "art" wrote in message ps.com... Jerry, Let me take the opportunity of explaning the term equilibrium in a folksy sort of way to give you a better idea or insight to what it is really about. Basicaly when we talk of equilibrium we are talking about things that are somehow bound together. You often see in antenna books the squeezed ballon to show how energy is pushed from the rear to the front of the antenna, in that case the balloon is reacting or holding back the pressure inside the balloon so you can see in that case that the inside is in equilibrium by virtue of the holding power of the balloon. Another way of looking at equyilibrium is by placing a bunch of magnetised ball bearings that no matter how you juggle with them they stay together but you can't see any bag holding them together. Well in this case it is the magnetic energy holding things together instead of gravity taking over and pulling them apart one after the other. So how can we use this equilibrium glue thing when dealing with antennas? well you can see now that equoilibrium is really a stand off in forces, two people pushing against each other yet nothing is moving yet it is evident by the sweat that both men are working hard. Same way with the balloon that is holding all that radiation energy together and where the balloon is applying pressure on the energy inside of the balloon and like two men pushing there is no movement going on. If the balloon weakens somewhere you will see that the balloon will swoosh away in an undetermined direction but wait a minite if it is radiation energy we would sure like to push it all in the forward direction for maximum gain. So if we have a bunch of resonant elements in equilibrium containing the means for radiation we have to find a method of providing the break in a ideal position so that the innards are directed the same way. Well what we do with the bunch of radiating elements that are in equilibrium is to place another element into the bunch that is not resonant like it doesn't belong. What we find by doing thid is that all the radiation energy will swirl around striving to get to the weak part remembering that it is only when the energy escapes thru the hole can it start to produce a electrical and magnetic field which creates radiation , where as with a yagi the near field is produced immediatly the driven energy is provided and where the fields generate new field around each element it meets on its journey. So with equilibrium we can break it at any place we want to to provide directivenes where as with a yagi the radiation begins to start forming even tho it is being directed in many different directions. Naturally you can see the advantages of energy going in a single direction versus energy being bounced around until it sees daylight. So back to the beginning we have a bunch of elements that are resonant inside a surface like a balloon where if energy is applied to one of the elements it is sharedf with the other ele4ments immediatly without commensing the radiation trail and by placing a detuned element in the cluster we can chose the directiopn than the energy of each element takes and where it follows its predessesor in releasing its radiative energy. Sound simple but there are difficulties, when you weaken the enclosing force it does produce a major hole for directive purposes however at the same time multiple fissures open in other areas which provides a leakage trail for the swerling innards such that radiative energy on a smaller scale still escaopes to form radiation in other areas than the forward direction envisioned. The next person to come along will address this problem I am sure once presentented with the incentive that this new concept provides. No miricals but one step forward makes all things possible Regards Art art wrote: Jerh each otherry What I am doing is to get away from inline coupling of elements. The Yagi antenna is one of these where all the elements are in line. What I am doing is to arrange a a bunch of elements in a group or cluster such that each and all elements couple with each other rather than the the two elements along side. By doing this and yet making the bunch of elements resonant on their own as well as being driven by one element as with the normal antenna you have to make changes in either the length, dia or material of each element to compensate for all the other factors implanted on them by the proximity of all the other elements in the bunch or cluster. When this is done correctly the bunch of elements are in equilibrium with each other and where each element impedance is devoid or has reactance minimised. The reason for this aproach is the two resistances that you encounter are the resistance of the material used for the element which is where the current flows below the surface and the radiation resistance which is from the current that flows on top of the surface to produce radiation. Since it is radiation that we are concerned with only true resistance is of importance and where reactiveness in the impedances provide no benefit to radiation. The bottom line is that we want to avoid reactivenes whereas the yagi by coupling elements that are untuned or not resonant promotes reactiveness. An example of what this reactiveness does to an array is to make the value curves for gain, back to front and swr all peaking at different frequencies where as the ideal arrangement is to have all the curves peak near the same frequency so that when using the antenna across the band you have a fairly consistent gain figure instead of having to cut it at the high or low end of the band in a compromising effort. When building such an array you take advantage of height in the turning radius of the beam since you dont have to place all elements in a single line as with a yagi which imposes limits on antenna length. by utilising height of the array you can have a smaller rotating radius with the same gain of a yagi with a larger turning radius together with a bandwidth with smoothed variables. Hope that helps and clears some of the mystery away from clustered arrays. This aproach by the way also applies to vertical arrays from which you can get horizontal, vertical and circular radiation where each has its special place of use. Use of academic terms was only provided because some academics don't like change and want to see the same things they see in books and for some reason were taught that talk of statics in the same room as electromagnetics is blasphamy yet they cannot bring forward anything in the books that say they are totally separable. By the way I mentioned Nagy where as it should have been Brown who did so much in recent years in broadcasting and T.V. Have fun with antennas and don't get intimidated by those who learned things in College only to memorise and pass exams instead of using knoweledge to advance the quality of life. Best regards Art Jerry Martes wrote: Hi Art Thanks for taking your time to direct me to some very complex thinking. But, I'm a rather simple guy who isnt well educated. You apparently expect a "just regular guy" like me to understand the ccomplex convoluted theoretical stuff that you write about. When I did work as an antenna design engineer, years ago, I saw some of my buddies working on the distribution of energy across apertures in an effort to shape beams. One of their considerations was to decrease the power to the elements as they were more distant from the center of the array. I remember reading that when the power is tapered to provide a distribution about equivalent to a Gaussian Distribution, the side lobes were minimal. I really enjoy thinking about real antenna construction projects. but, when it gets to the Maxwell's Equation kind of analysis, I get lost. I dont even know what a Vector is. You may have the wrong impression about me, Art, I'm an old guy who wants to have fun with antennas. It isnt necessary for you to tell me to "get back to basics". I dont have interest in the "basics" you refer to. Is it possible for you to tell us (me) what you are referring to without referring to Vectors, Gauss's law, Lorentz, "Nagi", and even elementary calculus? Frankly, Art, you confuse me when you write such scholarly paragraphs. You and I are so far removed from each other intellectually that I can never keep up with your texts. Jerry "art" wrote in message ups.com... Jerry, get back to basics and look up a conservative field relative to Gaussian law. Step 1 It is a group of electric charges with an addition vector of zero. So move backwards and remove that vector if you wish and you have a gaussian field of electrical charges which in the case of a bunch of resonant elements can be seen as all positive or all negative charges and we also know that Gaussian law is valid even for enclosed charges in motion. Step 2 The vector that we removed is known as curl but at this time nit has no valu is the samee tho the vector direction is known. Step 3 Faraday's law of Induced electromotive force. This is somewhat opposite to the consevative field in terms of rotation but in relative terms it where the consevative field is revolving around a magnetic field ( hopefully you can visualise this) So we have a charge q in an element of length ds, which element, at the instant considered has velocity u,experiences a force. Now I know some have difficulty with what I said earlier with respect to adding " at an instant of time) to Gausses law which is the same length of time referred to above as " at the instant considered " Gtep 4 We then examine Lorentz equation which refers to an induced electric field which is present when, for example the magnetic field is changing with time such that v1 = 1/q integral F.ds. You can now see that any CONSERVATIVE force that might be included in F would integrate to zero thus ommiting any electrostatic field that might be present Note again faradays law, it is valid regardloess of the nature of the factor or factors responsible for change in magnetic flux. So now the overview of the cluster of resonant elements projected a conservative field with a magnetic vector of zero reflecting" an instant of time" with respect to resonant elements and where the magnetic field will provide motion to the electrostatic field where all charges will exibit the same direction of charge and will change in unison Now no amount of writing will get you to understand this flow of concept if you are not willing to have an open mind or think around something that at the present time you fail to understand and are not willing to rethink thing, possibly in a different way than I presented it. If you are so inclined you can go back further in history and play with the 4 vertical array of elements formed by Nagi to obtain possible insights since he also worked with an array of vertical elements all of which were resonant. His work has been rechecked via Matlab and found to be correct so you have a viable path to follow if you have a modicom of interest in this new concept. It must be noted that the above is only a partial description of the concept because I have yet to add a detuned element for directional purposes for the radiation field. There is nothing more that I can add that will persuade you to follow thru with this concept so I believe I have now reached the Rubicon with respect to this vision of mine. If you can't understand it now put it down to me not being smart enough to explain clearly electromagnetics to those skilled in the art which I am now finding to be a hopeless task at least here in the U.S. unless one can read it in a book and memorise it so one can pass an exam.. Art Jerry Martes wrote: "JIMMIE" wrote in message ups.com... Dave wrote: "art" wrote in message ups.com... In the thread Rain static I referred to a closed surface which is clearly defined by Gauss's law. Gauss's law doesn't define a surface, the surface is any arbitrary surface surrounding a charge. Let us now look at a time vary field applied to a dielectric. I fht efield is applied for the shortest of time the charges will stay on the surface. If time is longer than the shortest space of time you make it sound like there is some 'shortest' time where charges won't move. this is not true. no matter how short you make the time it will move the charges. then charges will openetrate the closed surface. If the surface is an insulator type then it takes a long while to penetrate but if the surface Here you mix up 'surface' and 'surface'. the gauss's law 'surface' is a mathematically useful construction around a charge, it does not have any charge 'on' it, nor is there any 'penetration' of it by charge in gauss's law. it is strictly a non-material thing that is used only for calculation purposes. is a good conductor then the charges will penetrate very quickly so we can associate the time constant of penetration to the subject of skin depth. If we are to associate the time varying field to a gaussian field you have yet to define a 'gaussian field'. gauss's law applies to electric fields and their relation to charges. all the excess charges must be on the surface by law. only in a 'perfect' conductor. dielectrics and 'empty' space can have distributed charges throughout. Or in other words the time evolved must be shorter than the time required to begin penetration. huh? it just goes down hill from here. write some equations, do some drawings, publish a manuscript. all the rest is empty handwaving based on incorrect assumptions and missing definitions. Thus for a short space of time all charges are on the surface and the charges have a magnhe radiating eneetic and electric field vectors. Just having charges is not enough to convert to a gaussian field in that a gaussian field must be in equilibrium thus a cluster of elements must have the direction of the surface charges change in unison. For a cluster of elements to do this they must all be resonant such that the charges reach the ends of the elements at the same time. Resonance of an element is determined by its diameter and its length and because it is coupled to other elements in the cluster the coupling must be taken into account to secure resonance of not only the individual elements but of the cluster as a whole. When this is accomplished the charges on the surface of the closed volume are in equilibrium but onty for that shortest of short time and where that time is added to the gaussian formulae for the transition to be complete. For the Gaussian field or volume we can say the energy inside the gaussian field is equal to that supplied by flux to the outside of the border and remember the flux inside consists of magnetic and electric vectoirs. We now can say that in a moment of time the flux produced from each element that breaches the border in summation with the other elements is equal to the radiating field outside of the border when each element energy makes the transmittion. Thus the summation of each of the clustered elements individual energy when the vectors are given a value must equal the flux on the outside of the border that produces radiation. We also know that if we have a cluster of elements that are clustered together we can obtain radiation by just applying a time varing field to just one of the elements and by virtue of intercoupling all the radiating energy will leave the near field. Thus we have two different methods of determining the value of the radiated field ! radiation from the clustered within a Gaussian field and 2 radiation from an array of coupled elements Since the elements within the cluster are all of the same "Q'" the determination of all factors in the resulting equation are simplified to Ohms law and where the laborious coupling calculations are omitted. The above describes in first principles as to how a Gaussian field in a short space of time can be equated to a radiating cluster using existing laws of the masters which also embraces NEC code. Now many have said I have no understanding of radiation concepts so go ahead and tear this apart and have a merry Xmas doing it Art Unwin KB9MZ..........XG It appears Art has picked up some phrases haphazardly and is trying to apply them to antennas some how, If I remember correctly doesnt Gaussian field apply to statistical distribution. Been a long time since I had statistical analysis back in the early 70s but I think this is also refered to as a "normal distribution". Hi Jimmy By my standards, you are *Right On* on all you wrote. I'm pretty sure Gaussian distribution of power across a radiating plane results (theoretically) in zero side lobes, That is also a very poor distribution when gain is a goal. I think the term Normal is synonymous with Gaussian when referring to aperture distribution. Jerry |
Gaussian law and time varying fields
Hi Art It really surprises me to earn that you know about Roy's program and then dismiss it. I thought you had explained that you werent able to use it to the satisfaction of some other Antenna guys. I included a question within your post where I ask if you really want a computer modeling progran to tell you where to locate elements. Is it true that there is a computer modeling program that is superior (for HAM/Amateur use) to EZNEC??? I'll go look for METLAB on the Internet. Jerry "art" wrote in message ups.com... Jerry I am sure that a lot of people are happy with the purchase of EZNEC but it doesn't suit my purposes True I paid a lot more money that it would cost to buy EZNEC but I wanted a program that would teach me more than what a design provides. For instance if an element could be placed in a more desirable position I want it to move it. If the program determines to bend the element in a more desirable way then I want it to have the freedom to do it. Art, do you really mean what you seem to have said??? Do you want a computer modeling program that *tells you* where to locate elements?? In other words I need a program that helps me not just shrug its shoulders emphasising the dumbness of the program. If you really want to get into modelling then have a go with MATLAB which is extremely versatile and gaining in use by the pro's On the other hand if you want to design a yagi it will respond to your needs, not what you want it to do but to add up the numbers for the array that you provide it and nothing more. Best regards Art Jerry Martes wrote: OK Art, if you say that you arent actually "pulling my leg", perhaps *I* can help *you*. It doesnt require computer literacy to be able to use Roy's EZNEC. I am perhaps the least computer savy reader of this News Group. But, I am beginning to learn things with this antenna modeling program. I suggest to you that you will benefit so much as the result of buying Roy's program that you will thank me for having suggested it to you. I dont consider it appropriate to use the free EZNEC program. The "paid for" version has somewhat improved capabilities. And the cost of that program is far less than the excellent test equipment you now have. It just seems Right to buy from Roy since he took so much time to make such a capable tool for us. Go to Roy and buy the program best suited for analyzing your concept. It is actually fun to see that program at work. You wont regret having EZNEC in your "tool box". Value per dollar, there is no tool available to the antenna designer that is better than EZNEC. Try it, you'll like it. Jerry "art" wrote in message ups.com... No Jerry You couldn't be more wrong. I am not talking down to you I am responding in a way that didn't involve technical terms but evolved around the every day world. I could have quoted the law of every action has an equal and opposite reaction but I didn't think that fitted in with your request. Some people measure work as being the amount moved rather than the release of energy so I wanted to portray an amount of contained energy or potential energy which when allowed escapes the hold of equilibrium so the radiation process can start. I used the magnetised bearing to follow up where the retaining surface was not visible but still there as a magnetic field. I don't know of another way of explaining it unless I want to be preyed apon by spam. Jerry I am sharing things so people can participate in my journey. You must know I am very interested in what I am pursueing otherwise I would have just collapsed in the face of the naysayers. if you wish to pursue my line of thought but are concerned how others view you then keep everything to a private Email. It does not serve me well to make enemies in this group if my idea is to debate my thought though some do enjoy the thinking that the result elevates their iwn status and you learn to live with that. I responded to you in a lengthy dialogue which was in kind with your request which did not provide animosity of any sort which provided me the impetus to respond in the same manner. Jerry you haven't attacked me you were polite so have a rethink about this debate, I am sharing not taking Very best regards Art Jerry Martes wrote: Hi Art I have to tell you that I am beginning to loose interest in this thread. I read about "equilibrium" and began to wonder what that meant in a discussion about a cluster of radiators. Then, when you explained equilibrium in terms of balloons, ball bearings and sweat, I began to wonder if you are pulling my leg. Now, I really feel like a guy who went snipe hunting and got left out alone all night. You are playing with me, aren't you?? I asked for data and dimensions so I could work *with* you to better understand your "Cluster" You reply to my request for information with sentences like this -- Sound simple but there are difficulties, when you weaken the enclosing force it does produce a major hole for directive purposes however at the same time multiple fissures open in other areas which provides a leakage trail for the swerling innards such that radiative energy on a smaller scale still escaopes to form radiation in other areas than the forward direction envisioned. If your goal is to show that I am too stupid to know when I am being tricked, you won. Jerry "art" wrote in message ps.com... Jerry, Let me take the opportunity of explaning the term equilibrium in a folksy sort of way to give you a better idea or insight to what it is really about. Basicaly when we talk of equilibrium we are talking about things that are somehow bound together. You often see in antenna books the squeezed ballon to show how energy is pushed from the rear to the front of the antenna, in that case the balloon is reacting or holding back the pressure inside the balloon so you can see in that case that the inside is in equilibrium by virtue of the holding power of the balloon. Another way of looking at equyilibrium is by placing a bunch of magnetised ball bearings that no matter how you juggle with them they stay together but you can't see any bag holding them together. Well in this case it is the magnetic energy holding things together instead of gravity taking over and pulling them apart one after the other. So how can we use this equilibrium glue thing when dealing with antennas? well you can see now that equoilibrium is really a stand off in forces, two people pushing against each other yet nothing is moving yet it is evident by the sweat that both men are working hard. Same way with the balloon that is holding all that radiation energy together and where the balloon is applying pressure on the energy inside of the balloon and like two men pushing there is no movement going on. If the balloon weakens somewhere you will see that the balloon will swoosh away in an undetermined direction but wait a minite if it is radiation energy we would sure like to push it all in the forward direction for maximum gain. So if we have a bunch of resonant elements in equilibrium containing the means for radiation we have to find a method of providing the break in a ideal position so that the innards are directed the same way. Well what we do with the bunch of radiating elements that are in equilibrium is to place another element into the bunch that is not resonant like it doesn't belong. What we find by doing thid is that all the radiation energy will swirl around striving to get to the weak part remembering that it is only when the energy escapes thru the hole can it start to produce a electrical and magnetic field which creates radiation , where as with a yagi the near field is produced immediatly the driven energy is provided and where the fields generate new field around each element it meets on its journey. So with equilibrium we can break it at any place we want to to provide directivenes where as with a yagi the radiation begins to start forming even tho it is being directed in many different directions. Naturally you can see the advantages of energy going in a single direction versus energy being bounced around until it sees daylight. So back to the beginning we have a bunch of elements that are resonant inside a surface like a balloon where if energy is applied to one of the elements it is sharedf with the other ele4ments immediatly without commensing the radiation trail and by placing a detuned element in the cluster we can chose the directiopn than the energy of each element takes and where it follows its predessesor in releasing its radiative energy. Sound simple but there are difficulties, when you weaken the enclosing force it does produce a major hole for directive purposes however at the same time multiple fissures open in other areas which provides a leakage trail for the swerling innards such that radiative energy on a smaller scale still escaopes to form radiation in other areas than the forward direction envisioned. The next person to come along will address this problem I am sure once presentented with the incentive that this new concept provides. No miricals but one step forward makes all things possible Regards Art art wrote: Jerh each otherry What I am doing is to get away from inline coupling of elements. The Yagi antenna is one of these where all the elements are in line. What I am doing is to arrange a a bunch of elements in a group or cluster such that each and all elements couple with each other rather than the the two elements along side. By doing this and yet making the bunch of elements resonant on their own as well as being driven by one element as with the normal antenna you have to make changes in either the length, dia or material of each element to compensate for all the other factors implanted on them by the proximity of all the other elements in the bunch or cluster. When this is done correctly the bunch of elements are in equilibrium with each other and where each element impedance is devoid or has reactance minimised. The reason for this aproach is the two resistances that you encounter are the resistance of the material used for the element which is where the current flows below the surface and the radiation resistance which is from the current that flows on top of the surface to produce radiation. Since it is radiation that we are concerned with only true resistance is of importance and where reactiveness in the impedances provide no benefit to radiation. The bottom line is that we want to avoid reactivenes whereas the yagi by coupling elements that are untuned or not resonant promotes reactiveness. An example of what this reactiveness does to an array is to make the value curves for gain, back to front and swr all peaking at different frequencies where as the ideal arrangement is to have all the curves peak near the same frequency so that when using the antenna across the band you have a fairly consistent gain figure instead of having to cut it at the high or low end of the band in a compromising effort. When building such an array you take advantage of height in the turning radius of the beam since you dont have to place all elements in a single line as with a yagi which imposes limits on antenna length. by utilising height of the array you can have a smaller rotating radius with the same gain of a yagi with a larger turning radius together with a bandwidth with smoothed variables. Hope that helps and clears some of the mystery away from clustered arrays. This aproach by the way also applies to vertical arrays from which you can get horizontal, vertical and circular radiation where each has its special place of use. Use of academic terms was only provided because some academics don't like change and want to see the same things they see in books and for some reason were taught that talk of statics in the same room as electromagnetics is blasphamy yet they cannot bring forward anything in the books that say they are totally separable. By the way I mentioned Nagy where as it should have been Brown who did so much in recent years in broadcasting and T.V. Have fun with antennas and don't get intimidated by those who learned things in College only to memorise and pass exams instead of using knoweledge to advance the quality of life. Best regards Art Jerry Martes wrote: Hi Art Thanks for taking your time to direct me to some very complex thinking. But, I'm a rather simple guy who isnt well educated. You apparently expect a "just regular guy" like me to understand the ccomplex convoluted theoretical stuff that you write about. When I did work as an antenna design engineer, years ago, I saw some of my buddies working on the distribution of energy across apertures in an effort to shape beams. One of their considerations was to decrease the power to the elements as they were more distant from the center of the array. I remember reading that when the power is tapered to provide a distribution about equivalent to a Gaussian Distribution, the side lobes were minimal. I really enjoy thinking about real antenna construction projects. but, when it gets to the Maxwell's Equation kind of analysis, I get lost. I dont even know what a Vector is. You may have the wrong impression about me, Art, I'm an old guy who wants to have fun with antennas. It isnt necessary for you to tell me to "get back to basics". I dont have interest in the "basics" you refer to. Is it possible for you to tell us (me) what you are referring to without referring to Vectors, Gauss's law, Lorentz, "Nagi", and even elementary calculus? Frankly, Art, you confuse me when you write such scholarly paragraphs. You and I are so far removed from each other intellectually that I can never keep up with your texts. Jerry "art" wrote in message ups.com... Jerry, get back to basics and look up a conservative field relative to Gaussian law. Step 1 It is a group of electric charges with an addition vector of zero. So move backwards and remove that vector if you wish and you have a gaussian field of electrical charges which in the case of a bunch of resonant elements can be seen as all positive or all negative charges and we also know that Gaussian law is valid even for enclosed charges in motion. Step 2 The vector that we removed is known as curl but at this time nit has no valu is the samee tho the vector direction is known. Step 3 Faraday's law of Induced electromotive force. This is somewhat opposite to the consevative field in terms of rotation but in relative terms it where the consevative field is revolving around a magnetic field ( hopefully you can visualise this) So we have a charge q in an element of length ds, which element, at the instant considered has velocity u,experiences a force. Now I know some have difficulty with what I said earlier with respect to adding " at an instant of time) to Gausses law which is the same length of time referred to above as " at the instant considered " Gtep 4 We then examine Lorentz equation which refers to an induced electric field which is present when, for example the magnetic field is changing with time such that v1 = 1/q integral F.ds. You can now see that any CONSERVATIVE force that might be included in F would integrate to zero thus ommiting any electrostatic field that might be present Note again faradays law, it is valid regardloess of the nature of the factor or factors responsible for change in magnetic flux. So now the overview of the cluster of resonant elements projected a conservative field with a magnetic vector of zero reflecting" an instant of time" with respect to resonant elements and where the magnetic field will provide motion to the electrostatic field where all charges will exibit the same direction of charge and will change in unison Now no amount of writing will get you to understand this flow of concept if you are not willing to have an open mind or think around something that at the present time you fail to understand and are not willing to rethink thing, possibly in a different way than I presented it. If you are so inclined you can go back further in history and play with the 4 vertical array of elements formed by Nagi to obtain possible insights since he also worked with an array of vertical elements all of which were resonant. His work has been rechecked via Matlab and found to be correct so you have a viable path to follow if you have a modicom of interest in this new concept. It must be noted that the above is only a partial description of the concept because I have yet to add a detuned element for directional purposes for the radiation field. There is nothing more that I can add that will persuade you to follow thru with this concept so I believe I have now reached the Rubicon with respect to this vision of mine. If you can't understand it now put it down to me not being smart enough to explain clearly electromagnetics to those skilled in the art which I am now finding to be a hopeless task at least here in the U.S. unless one can read it in a book and memorise it so one can pass an exam.. Art Jerry Martes wrote: "JIMMIE" wrote in message ups.com... Dave wrote: "art" wrote in message ups.com... In the thread Rain static I referred to a closed surface which is clearly defined by Gauss's law. Gauss's law doesn't define a surface, the surface is any arbitrary surface surrounding a charge. Let us now look at a time vary field applied to a dielectric. I fht efield is applied for the shortest of time the charges will stay on the surface. If time is longer than the shortest space of time you make it sound like there is some 'shortest' time where charges won't move. this is not true. no matter how short you make the time it will move the charges. then charges will openetrate the closed surface. If the surface is an insulator type then it takes a long while to penetrate but if the surface Here you mix up 'surface' and 'surface'. the gauss's law 'surface' is a mathematically useful construction around a charge, it does not have any charge 'on' it, nor is there any 'penetration' of it by charge in gauss's law. it is strictly a non-material thing that is used only for calculation purposes. is a good conductor then the charges will penetrate very quickly so we can associate the time constant of penetration to the subject of skin depth. If we are to associate the time varying field to a gaussian field you have yet to define a 'gaussian field'. gauss's law applies to electric fields and their relation to charges. all the excess charges must be on the surface by law. only in a 'perfect' conductor. dielectrics and 'empty' space can have distributed charges throughout. Or in other words the time evolved must be shorter than the time required to begin penetration. huh? it just goes down hill from here. write some equations, do some drawings, publish a manuscript. all the rest is empty handwaving based on incorrect assumptions and missing definitions. Thus for a short space of time all charges are on the surface and the charges have a magnhe radiating eneetic and electric field vectors. Just having charges is not enough to convert to a gaussian field in that a gaussian field must be in equilibrium thus a cluster of elements must have the direction of the surface charges change in unison. For a cluster of elements to do this they must all be resonant such that the charges reach the ends of the elements at the same time. Resonance of an element is determined by its diameter and its length and because it is coupled to other elements in the cluster the coupling must be taken into account to secure resonance of not only the individual elements but of the cluster as a whole. When this is accomplished the charges on the surface of the closed volume are in equilibrium but onty for that shortest of short time and where that time is added to the gaussian formulae for the transition to be complete. For the Gaussian field or volume we can say the energy inside the gaussian field is equal to that supplied by flux to the outside of the border and remember the flux inside consists of magnetic and electric vectoirs. We now can say that in a moment of time the flux produced from each element that breaches the border in summation with the other elements is equal to the radiating field outside of the border when each element energy makes the transmittion. Thus the summation of each of the clustered elements individual energy when the vectors are given a value must equal the flux on the outside of the border that produces radiation. We also know that if we have a cluster of elements that are clustered together we can obtain radiation by just applying a time varing field to just one of the elements and by virtue of intercoupling all the radiating energy will leave the near field. Thus we have two different methods of determining the value of the radiated field ! radiation from the clustered within a Gaussian field and 2 radiation from an array of coupled elements Since the elements within the cluster are all of the same "Q'" the determination of all factors in the resulting equation are simplified to Ohms law and where the laborious coupling calculations are omitted. The above describes in first principles as to how a Gaussian field in a short space of time can be equated to a radiating cluster using existing laws of the masters which also embraces NEC code. Now many have said I have no understanding of radiation concepts so go ahead and tear this apart and have a merry Xmas doing it Art Unwin KB9MZ..........XG It appears Art has picked up some phrases haphazardly and is trying to apply them to antennas some how, If I remember correctly doesnt Gaussian field apply to statistical distribution. Been a long time since I had statistical analysis back in the early 70s but I think this is also refered to as a "normal distribution". Hi Jimmy By my standards, you are *Right On* on all you wrote. I'm pretty sure Gaussian distribution of power across a radiating plane results (theoretically) in zero side lobes, That is also a very poor distribution when gain is a goal. I think the term Normal is synonymous with Gaussian when referring to aperture distribution. Jerry |
Gaussian law and time varying fields
Jerry Martes wrote: Hi Art It really surprises me to earn that you know about Roy's program and then dismiss it. I thought you had explained that you werent able to use it to the satisfaction of some other Antenna guys. Don't know where you got that idea but EZNEC is one of the oldest programs around but science has moved on. Eznec is about the basic program you can find as well as one of the oldest. It cannot emulate what the majority of programs available today On the other hand many of the brightest people have left this group over the years and moved away from the few on this group who do use EZNEC and thus we have only a few people a miniscule amount of people who have stayed on with Roy and Co and the perenial slamming contests which is why the group is the way it is, the majority of knoweledgable hams have left I included a question within your post where I ask if you really want a computer modeling progran to tell you where to locate elements. But of course eznec only deals with parallel elements probably must be in line. I want a program that allows investigation of random placed elements in random positions with wider beamwidths and a single lobe to the fore Eznec is not built for that sort of thing, it is built purely to add up the numbers of a predrawn array whereas there are lots of programs available that have advanced features far beyond what Eznec can supply because the latter has stagnated over the years with respect to computor advantages utelised by other programs. EZNEC is cheap and you get only what you pay for Others supply features that blow EZNEC back to the middle ages but for these advances you have to pay for. Is it true that there is a computer modeling program that is superior (for HAM/Amateur use) to EZNEC??? I'll go look for METLAB on the Internet. It depends on what hams want to do, Most would piddle with a antenna program for a week or two and then move on to other things, after all it gets boring drawing yagis day after day. If you want something cheap to draw yagis with then I doubt that EZNEC can be beaten If you want to move ahead with the science of the day then your needs are a lot, lot bigger than eznec can supply. The old adage reigns you only get what you pay for and stale bread is always cheaper. Regards Art Jerry "art" wrote in message ups.com... Jerry I am sure that a lot of people are happy with the purchase of EZNEC but it doesn't suit my purposes True I paid a lot more money that it would cost to buy EZNEC but I wanted a program that would teach me more than what a design provides. For instance if an element could be placed in a more desirable position I want it to move it. If the program determines to bend the element in a more desirable way then I want it to have the freedom to do it. Art, do you really mean what you seem to have said??? Do you want a computer modeling program that *tells you* where to locate elements?? In other words I need a program that helps me not just shrug its shoulders emphasising the dumbness of the program. If you really want to get into modelling then have a go with MATLAB which is extremely versatile and gaining in use by the pro's On the other hand if you want to design a yagi it will respond to your needs, not what you want it to do but to add up the numbers for the array that you provide it and nothing more. Best regards Art Jerry Martes wrote: OK Art, if you say that you arent actually "pulling my leg", perhaps *I* can help *you*. It doesnt require computer literacy to be able to use Roy's EZNEC. I am perhaps the least computer savy reader of this News Group. But, I am beginning to learn things with this antenna modeling program. I suggest to you that you will benefit so much as the result of buying Roy's program that you will thank me for having suggested it to you. I dont consider it appropriate to use the free EZNEC program. The "paid for" version has somewhat improved capabilities. And the cost of that program is far less than the excellent test equipment you now have. It just seems Right to buy from Roy since he took so much time to make such a capable tool for us. Go to Roy and buy the program best suited for analyzing your concept. It is actually fun to see that program at work. You wont regret having EZNEC in your "tool box". Value per dollar, there is no tool available to the antenna designer that is better than EZNEC. Try it, you'll like it. Jerry "art" wrote in message ups.com... No Jerry You couldn't be more wrong. I am not talking down to you I am responding in a way that didn't involve technical terms but evolved around the every day world. I could have quoted the law of every action has an equal and opposite reaction but I didn't think that fitted in with your request. Some people measure work as being the amount moved rather than the release of energy so I wanted to portray an amount of contained energy or potential energy which when allowed escapes the hold of equilibrium so the radiation process can start. I used the magnetised bearing to follow up where the retaining surface was not visible but still there as a magnetic field. I don't know of another way of explaining it unless I want to be preyed apon by spam. Jerry I am sharing things so people can participate in my journey. You must know I am very interested in what I am pursueing otherwise I would have just collapsed in the face of the naysayers. if you wish to pursue my line of thought but are concerned how others view you then keep everything to a private Email. It does not serve me well to make enemies in this group if my idea is to debate my thought though some do enjoy the thinking that the result elevates their iwn status and you learn to live with that. I responded to you in a lengthy dialogue which was in kind with your request which did not provide animosity of any sort which provided me the impetus to respond in the same manner. Jerry you haven't attacked me you were polite so have a rethink about this debate, I am sharing not taking Very best regards Art Jerry Martes wrote: Hi Art I have to tell you that I am beginning to loose interest in this thread. I read about "equilibrium" and began to wonder what that meant in a discussion about a cluster of radiators. Then, when you explained equilibrium in terms of balloons, ball bearings and sweat, I began to wonder if you are pulling my leg. Now, I really feel like a guy who went snipe hunting and got left out alone all night. You are playing with me, aren't you?? I asked for data and dimensions so I could work *with* you to better understand your "Cluster" You reply to my request for information with sentences like this -- Sound simple but there are difficulties, when you weaken the enclosing force it does produce a major hole for directive purposes however at the same time multiple fissures open in other areas which provides a leakage trail for the swerling innards such that radiative energy on a smaller scale still escaopes to form radiation in other areas than the forward direction envisioned. If your goal is to show that I am too stupid to know when I am being tricked, you won. Jerry "art" wrote in message ps.com... Jerry, Let me take the opportunity of explaning the term equilibrium in a folksy sort of way to give you a better idea or insight to what it is really about. Basicaly when we talk of equilibrium we are talking about things that are somehow bound together. You often see in antenna books the squeezed ballon to show how energy is pushed from the rear to the front of the antenna, in that case the balloon is reacting or holding back the pressure inside the balloon so you can see in that case that the inside is in equilibrium by virtue of the holding power of the balloon. Another way of looking at equyilibrium is by placing a bunch of magnetised ball bearings that no matter how you juggle with them they stay together but you can't see any bag holding them together. Well in this case it is the magnetic energy holding things together instead of gravity taking over and pulling them apart one after the other. So how can we use this equilibrium glue thing when dealing with antennas? well you can see now that equoilibrium is really a stand off in forces, two people pushing against each other yet nothing is moving yet it is evident by the sweat that both men are working hard. Same way with the balloon that is holding all that radiation energy together and where the balloon is applying pressure on the energy inside of the balloon and like two men pushing there is no movement going on. If the balloon weakens somewhere you will see that the balloon will swoosh away in an undetermined direction but wait a minite if it is radiation energy we would sure like to push it all in the forward direction for maximum gain. So if we have a bunch of resonant elements in equilibrium containing the means for radiation we have to find a method of providing the break in a ideal position so that the innards are directed the same way. Well what we do with the bunch of radiating elements that are in equilibrium is to place another element into the bunch that is not resonant like it doesn't belong. What we find by doing thid is that all the radiation energy will swirl around striving to get to the weak part remembering that it is only when the energy escapes thru the hole can it start to produce a electrical and magnetic field which creates radiation , where as with a yagi the near field is produced immediatly the driven energy is provided and where the fields generate new field around each element it meets on its journey. So with equilibrium we can break it at any place we want to to provide directivenes where as with a yagi the radiation begins to start forming even tho it is being directed in many different directions. Naturally you can see the advantages of energy going in a single direction versus energy being bounced around until it sees daylight. So back to the beginning we have a bunch of elements that are resonant inside a surface like a balloon where if energy is applied to one of the elements it is sharedf with the other ele4ments immediatly without commensing the radiation trail and by placing a detuned element in the cluster we can chose the directiopn than the energy of each element takes and where it follows its predessesor in releasing its radiative energy. Sound simple but there are difficulties, when you weaken the enclosing force it does produce a major hole for directive purposes however at the same time multiple fissures open in other areas which provides a leakage trail for the swerling innards such that radiative energy on a smaller scale still escaopes to form radiation in other areas than the forward direction envisioned. The next person to come along will address this problem I am sure once presentented with the incentive that this new concept provides. No miricals but one step forward makes all things possible Regards Art art wrote: Jerh each otherry What I am doing is to get away from inline coupling of elements. The Yagi antenna is one of these where all the elements are in line. What I am doing is to arrange a a bunch of elements in a group or cluster such that each and all elements couple with each other rather than the the two elements along side. By doing this and yet making the bunch of elements resonant on their own as well as being driven by one element as with the normal antenna you have to make changes in either the length, dia or material of each element to compensate for all the other factors implanted on them by the proximity of all the other elements in the bunch or cluster. When this is done correctly the bunch of elements are in equilibrium with each other and where each element impedance is devoid or has reactance minimised. The reason for this aproach is the two resistances that you encounter are the resistance of the material used for the element which is where the current flows below the surface and the radiation resistance which is from the current that flows on top of the surface to produce radiation. Since it is radiation that we are concerned with only true resistance is of importance and where reactiveness in the impedances provide no benefit to radiation. The bottom line is that we want to avoid reactivenes whereas the yagi by coupling elements that are untuned or not resonant promotes reactiveness. An example of what this reactiveness does to an array is to make the value curves for gain, back to front and swr all peaking at different frequencies where as the ideal arrangement is to have all the curves peak near the same frequency so that when using the antenna across the band you have a fairly consistent gain figure instead of having to cut it at the high or low end of the band in a compromising effort. When building such an array you take advantage of height in the turning radius of the beam since you dont have to place all elements in a single line as with a yagi which imposes limits on antenna length. by utilising height of the array you can have a smaller rotating radius with the same gain of a yagi with a larger turning radius together with a bandwidth with smoothed variables. Hope that helps and clears some of the mystery away from clustered arrays. This aproach by the way also applies to vertical arrays from which you can get horizontal, vertical and circular radiation where each has its special place of use. Use of academic terms was only provided because some academics don't like change and want to see the same things they see in books and for some reason were taught that talk of statics in the same room as electromagnetics is blasphamy yet they cannot bring forward anything in the books that say they are totally separable. By the way I mentioned Nagy where as it should have been Brown who did so much in recent years in broadcasting and T.V. Have fun with antennas and don't get intimidated by those who learned things in College only to memorise and pass exams instead of using knoweledge to advance the quality of life. Best regards Art Jerry Martes wrote: Hi Art Thanks for taking your time to direct me to some very complex thinking. But, I'm a rather simple guy who isnt well educated. You apparently expect a "just regular guy" like me to understand the ccomplex convoluted theoretical stuff that you write about. When I did work as an antenna design engineer, years ago, I saw some of my buddies working on the distribution of energy across apertures in an effort to shape beams. One of their considerations was to decrease the power to the elements as they were more distant from the center of the array. I remember reading that when the power is tapered to provide a distribution about equivalent to a Gaussian Distribution, the side lobes were minimal. I really enjoy thinking about real antenna construction projects. but, when it gets to the Maxwell's Equation kind of analysis, I get lost. I dont even know what a Vector is. You may have the wrong impression about me, Art, I'm an old guy who wants to have fun with antennas. It isnt necessary for you to tell me to "get back to basics". I dont have interest in the "basics" you refer to. Is it possible for you to tell us (me) what you are referring to without referring to Vectors, Gauss's law, Lorentz, "Nagi", and even elementary calculus? Frankly, Art, you confuse me when you write such scholarly paragraphs. You and I are so far removed from each other intellectually that I can never keep up with your texts. Jerry "art" wrote in message ups.com... Jerry, get back to basics and look up a conservative field relative to Gaussian law. Step 1 It is a group of electric charges with an addition vector of zero. So move backwards and remove that vector if you wish and you have a gaussian field of electrical charges which in the case of a bunch of resonant elements can be seen as all positive or all negative charges and we also know that Gaussian law is valid even for enclosed charges in motion. Step 2 The vector that we removed is known as curl but at this time nit has no valu is the samee tho the vector direction is known. Step 3 Faraday's law of Induced electromotive force. This is somewhat opposite to the consevative field in terms of rotation but in relative terms it where the consevative field is revolving around a magnetic field ( hopefully you can visualise this) So we have a charge q in an element of length ds, which element, at the instant considered has velocity u,experiences a force. Now I know some have difficulty with what I said earlier with respect to adding " at an instant of time) to Gausses law which is the same length of time referred to above as " at the instant considered " Gtep 4 We then examine Lorentz equation which refers to an induced electric field which is present when, for example the magnetic field is changing with time such that v1 = 1/q integral F.ds. You can now see that any CONSERVATIVE force that might be included in F would integrate to zero thus ommiting any electrostatic field that might be present Note again faradays law, it is valid regardloess of the nature of the factor or factors responsible for change in magnetic flux. So now the overview of the cluster of resonant elements projected a conservative field with a magnetic vector of zero reflecting" an instant of time" with respect to resonant elements and where the magnetic field will provide motion to the electrostatic field where all charges will exibit the same direction of charge and will change in unison Now no amount of writing will get you to understand this flow of concept if you are not willing to have an open mind or think around something that at the present time you fail to understand and are not willing to rethink thing, possibly in a different way than I presented it. If you are so inclined you can go back further in history and play with the 4 vertical array of elements formed by Nagi to obtain possible insights since he also worked with an array of vertical elements all of which were resonant. His work has been rechecked via Matlab and found to be correct so you have a viable path to follow if you have a modicom of interest in this new concept. It must be noted that the above is only a partial description of the concept because I have yet to add a detuned element for directional purposes for the radiation field. There is nothing more that I can add that will persuade you to follow thru with this concept so I believe I have now reached the Rubicon with respect to this vision of mine. If you can't understand it now put it down to me not being smart enough to explain clearly electromagnetics to those skilled in the art which I am now finding to be a hopeless task at least here in the U.S. unless one can read it in a book and memorise it so one can pass an exam.. Art Jerry Martes wrote: "JIMMIE" wrote in message ups.com... Dave wrote: "art" wrote in message ups.com... In the thread Rain static I referred to a closed surface which is clearly defined by Gauss's law. Gauss's law doesn't define a surface, the surface is any arbitrary surface surrounding a charge. Let us now look at a time vary field applied to a dielectric. I fht efield is applied for the shortest of time the charges will stay on the surface. If time is longer than the shortest space of time you make it sound like there is some 'shortest' time where charges won't move. this is not true. no matter how short you make the time it will move the charges. then charges will openetrate the closed surface. If the surface is an insulator type then it takes a long while to penetrate but if the surface Here you mix up 'surface' and 'surface'. the gauss's law 'surface' is a mathematically useful construction around a charge, it does not have any charge 'on' it, nor is there any 'penetration' of it by charge in gauss's law. it is strictly a non-material thing that is used only for calculation purposes. is a good conductor then the charges will penetrate very quickly so we can associate the time constant of penetration to the subject of skin depth. If we are to associate the time varying field to a gaussian field you have yet to define a 'gaussian field'. gauss's law applies to electric fields and their relation to charges. all the excess charges must be on the surface by law. only in a 'perfect' conductor. dielectrics and 'empty' space can have distributed charges throughout. Or in other words the time evolved must be shorter than the time required to begin penetration. huh? it just goes down hill from here. write some equations, do some drawings, publish a manuscript. all the rest is empty handwaving based on incorrect assumptions and missing definitions. Thus for a short space of time all charges are on the surface and the charges have a magnhe radiating eneetic and electric field vectors. Just having charges is not enough to convert to a gaussian field in that a gaussian field must be in equilibrium thus a cluster of elements must have the direction of the surface charges change in unison. For a cluster of elements to do this they must all be resonant such that the charges reach the ends of the elements at the same time. Resonance of an element is determined by its diameter and its length and because it is coupled to other elements in the cluster the coupling must be taken into account to secure resonance of not only the individual elements but of the cluster as a whole. When this is accomplished the charges on the surface of the closed volume are in equilibrium but onty for that shortest of short time and where that time is added to the gaussian formulae for the transition to be complete. For the Gaussian field or volume we can say the energy inside the gaussian field is equal to that supplied by flux to the outside of the border and remember the flux inside consists of magnetic and electric vectoirs. We now can say that in a moment of time the flux produced from each element that breaches the border in summation with the other elements is equal to the radiating field outside of the border when each element energy makes the transmittion. Thus the summation of each of the clustered elements individual energy when the vectors are given a value must equal the flux on the outside of the border that produces radiation. We also know that if we have a cluster of elements that are clustered together we can obtain radiation by just applying a time varing field to just one of the elements and by virtue of intercoupling all the radiating energy will leave the near field. Thus we have two different methods of determining the value of the radiated field ! radiation from the clustered within a Gaussian field and 2 radiation from an array of coupled elements Since the elements within the cluster are all of the same "Q'" the determination of all factors in the resulting equation are simplified to Ohms law and where the laborious coupling calculations are omitted. The above describes in first principles as to how a Gaussian field in a short space of time can be equated to a radiating cluster using existing laws of the masters which also embraces NEC code. Now many have said I have no understanding of radiation concepts so go ahead and tear this apart and have a merry Xmas doing it Art Unwin KB9MZ..........XG It appears Art has picked up some phrases haphazardly and is trying to apply them to antennas some how, If I remember correctly doesnt Gaussian field apply to statistical distribution. Been a long time since I had statistical analysis back in the early 70s but I think this is also refered to as a "normal distribution". Hi Jimmy By my standards, you are *Right On* on all you wrote. I'm pretty sure Gaussian distribution of power across a radiating plane results (theoretically) in zero side lobes, That is also a very poor distribution when gain is a goal. I think the term Normal is synonymous with Gaussian when referring to aperture distribution. Jerry |
Gaussian law and time varying fields
Oh nuts, Art, I cant even read properly. I thought you told me that you werent computer literate and that you werent able to define the antenna you are proposing to be a "CLUSTER". I can only apologize for being so dumb that I cant seem to make sense out of your posts. I'll leave you to discuss your "CLUSTER" with those bright guys who can read and understand your text. You seem to have implied that you think ""EZNEC deals with parallel elements probably must be in line"". It isnt true that EZNEC is limited to either "parallel" elements nor "in line" elements. Obviously I am far too easily satisfied with computer programs for modeling antennas. I really like EZNEC and found it really easy to learn how to navigate in it. Art, I could never discuss antenna theory or operation with you are far too wise and knowledgeable for me. Do you mind my asking what kind of profession you are employed in?? Jerry "art" wrote in message ups.com... Jerry Martes wrote: Hi Art It really surprises me to earn that you know about Roy's program and then dismiss it. I thought you had explained that you werent able to use it to the satisfaction of some other Antenna guys. Don't know where you got that idea but EZNEC is one of the oldest programs around but science has moved on. Eznec is about the basic program you can find as well as one of the oldest. It cannot emulate what the majority of programs available today On the other hand many of the brightest people have left this group over the years and moved away from the few on this group who do use EZNEC and thus we have only a few people a miniscule amount of people who have stayed on with Roy and Co and the perenial slamming contests which is why the group is the way it is, the majority of knoweledgable hams have left I included a question within your post where I ask if you really want a computer modeling progran to tell you where to locate elements. But of course eznec only deals with parallel elements probably must be in line. I want a program that allows investigation of random placed elements in random positions with wider beamwidths and a single lobe to the fore Eznec is not built for that sort of thing, it is built purely to add up the numbers of a predrawn array whereas there are lots of programs available that have advanced features far beyond what Eznec can supply because the latter has stagnated over the years with respect to computor advantages utelised by other programs. EZNEC is cheap and you get only what you pay for Others supply features that blow EZNEC back to the middle ages but for these advances you have to pay for. Is it true that there is a computer modeling program that is superior (for HAM/Amateur use) to EZNEC??? I'll go look for METLAB on the Internet. It depends on what hams want to do, Most would piddle with a antenna program for a week or two and then move on to other things, after all it gets boring drawing yagis day after day. If you want something cheap to draw yagis with then I doubt that EZNEC can be beaten If you want to move ahead with the science of the day then your needs are a lot, lot bigger than eznec can supply. The old adage reigns you only get what you pay for and stale bread is always cheaper. Regards Art Jerry "art" wrote in message ups.com... Jerry I am sure that a lot of people are happy with the purchase of EZNEC but it doesn't suit my purposes True I paid a lot more money that it would cost to buy EZNEC but I wanted a program that would teach me more than what a design provides. For instance if an element could be placed in a more desirable position I want it to move it. If the program determines to bend the element in a more desirable way then I want it to have the freedom to do it. Art, do you really mean what you seem to have said??? Do you want a computer modeling program that *tells you* where to locate elements?? In other words I need a program that helps me not just shrug its shoulders emphasising the dumbness of the program. If you really want to get into modelling then have a go with MATLAB which is extremely versatile and gaining in use by the pro's On the other hand if you want to design a yagi it will respond to your needs, not what you want it to do but to add up the numbers for the array that you provide it and nothing more. Best regards Art Jerry Martes wrote: OK Art, if you say that you arent actually "pulling my leg", perhaps *I* can help *you*. It doesnt require computer literacy to be able to use Roy's EZNEC. I am perhaps the least computer savy reader of this News Group. But, I am beginning to learn things with this antenna modeling program. I suggest to you that you will benefit so much as the result of buying Roy's program that you will thank me for having suggested it to you. I dont consider it appropriate to use the free EZNEC program. The "paid for" version has somewhat improved capabilities. And the cost of that program is far less than the excellent test equipment you now have. It just seems Right to buy from Roy since he took so much time to make such a capable tool for us. Go to Roy and buy the program best suited for analyzing your concept. It is actually fun to see that program at work. You wont regret having EZNEC in your "tool box". Value per dollar, there is no tool available to the antenna designer that is better than EZNEC. Try it, you'll like it. Jerry "art" wrote in message ups.com... No Jerry You couldn't be more wrong. I am not talking down to you I am responding in a way that didn't involve technical terms but evolved around the every day world. I could have quoted the law of every action has an equal and opposite reaction but I didn't think that fitted in with your request. Some people measure work as being the amount moved rather than the release of energy so I wanted to portray an amount of contained energy or potential energy which when allowed escapes the hold of equilibrium so the radiation process can start. I used the magnetised bearing to follow up where the retaining surface was not visible but still there as a magnetic field. I don't know of another way of explaining it unless I want to be preyed apon by spam. Jerry I am sharing things so people can participate in my journey. You must know I am very interested in what I am pursueing otherwise I would have just collapsed in the face of the naysayers. if you wish to pursue my line of thought but are concerned how others view you then keep everything to a private Email. It does not serve me well to make enemies in this group if my idea is to debate my thought though some do enjoy the thinking that the result elevates their iwn status and you learn to live with that. I responded to you in a lengthy dialogue which was in kind with your request which did not provide animosity of any sort which provided me the impetus to respond in the same manner. Jerry you haven't attacked me you were polite so have a rethink about this debate, I am sharing not taking Very best regards Art Jerry Martes wrote: Hi Art I have to tell you that I am beginning to loose interest in this thread. I read about "equilibrium" and began to wonder what that meant in a discussion about a cluster of radiators. Then, when you explained equilibrium in terms of balloons, ball bearings and sweat, I began to wonder if you are pulling my leg. Now, I really feel like a guy who went snipe hunting and got left out alone all night. You are playing with me, aren't you?? I asked for data and dimensions so I could work *with* you to better understand your "Cluster" You reply to my request for information with sentences like his -- Sound simple but there are difficulties, when you weaken the enclosing force it does produce a major hole for directive purposes however at the same time multiple fissures open in other areas which provides a leakage trail for the swerling innards such that radiative energy on a smaller scale still escaopes to form radiation in other areas than the forward direction envisioned. If your goal is to show that I am too stupid to know when I am being tricked, you won. Jerry "art" wrote in message ps.com... Jerry, Let me take the opportunity of explaning the term equilibrium in a folksy sort of way to give you a better idea or insight to what it is really about. Basicaly when we talk of equilibrium we are talking about things that are somehow bound together. You often see in antenna books the squeezed ballon to show how energy is pushed from the rear to the front of the antenna, in that case the balloon is reacting or holding back the pressure inside the balloon so you can see in that case that the inside is in equilibrium by virtue of the holding power of the balloon. Another way of looking at equyilibrium is by placing a bunch of magnetised ball bearings that no matter how you juggle with them they stay together but you can't see any bag holding them together. Well in this case it is the magnetic energy holding things together instead of gravity taking over and pulling them apart one after the other. So how can we use this equilibrium glue thing when dealing with antennas? well you can see now that equoilibrium is really a stand off in forces, two people pushing against each other yet nothing is moving yet it is evident by the sweat that both men are working hard. Same way with the balloon that is holding all that radiation energy together and where the balloon is applying pressure on the energy inside of the balloon and like two men pushing there is no movement going on. If the balloon weakens somewhere you will see that the balloon will swoosh away in an undetermined direction but wait a minite if it is radiation energy we would sure like to push it all in the forward direction for maximum gain. So if we have a bunch of resonant elements in equilibrium containing the means for radiation we have to find a method of providing the break in a ideal position so that the innards are directed the same way. Well what we do with the bunch of radiating elements that are in equilibrium is to place another element into the bunch that is not resonant like it doesn't belong. What we find by doing thid is that all the radiation energy will swirl around striving to get to the weak part remembering that it is only when the energy escapes thru the hole can it start to produce a electrical and magnetic field which creates radiation , where as with a yagi the near field is produced immediatly the driven energy is provided and where the fields generate new field around each element it meets on its journey. So with equilibrium we can break it at any place we want to to provide directivenes where as with a yagi the radiation begins to start forming even tho it is being directed in many different directions. Naturally you can see the advantages of energy going in a single direction versus energy being bounced around until it sees daylight. So back to the beginning we have a bunch of elements that are resonant inside a surface like a balloon where if energy is applied to one of the elements it is sharedf with the other ele4ments immediatly without commensing the radiation trail and by placing a detuned element in the cluster we can chose the directiopn than the energy of each element takes and where it follows its predessesor in releasing its radiative energy. Sound simple but there are difficulties, when you weaken the enclosing force it does produce a major hole for directive purposes however at the same time multiple fissures open in other areas which provides a leakage trail for the swerling innards such that radiative energy on a smaller scale still escaopes to form radiation in other areas than the forward direction envisioned. The next person to come along will address this problem I am sure once presentented with the incentive that this new concept provides. No miricals but one step forward makes all things possible Regards Art art wrote: Jerh each otherry What I am doing is to get away from inline coupling of elements. The Yagi antenna is one of these where all the elements are in line. What I am doing is to arrange a a bunch of elements in a group or cluster such that each and all elements couple with each other rather than the the two elements along side. By doing this and yet making the bunch of elements resonant on their own as well as being driven by one element as with the normal antenna you have to make changes in either the length, dia or material of each element to compensate for all the other factors implanted on them by the proximity of all the other elements in the bunch or cluster. When this is done correctly the bunch of elements are in equilibrium with each other and where each element impedance is devoid or has reactance minimised. The reason for this aproach is the two resistances that you encounter are the resistance of the material used for the element which is where the current flows below the surface and the radiation resistance which is from the current that flows on top of the surface to produce radiation. Since it is radiation that we are concerned with only true resistance is of importance and where reactiveness in the impedances provide no benefit to radiation. The bottom line is that we want to avoid reactivenes whereas the yagi by coupling elements that are untuned or not resonant promotes reactiveness. An example of what this reactiveness does to an array is to make the value curves for gain, back to front and swr all peaking at different frequencies where as the ideal arrangement is to have all the curves peak near the same frequency so that when using the antenna across the band you have a fairly consistent gain figure instead of having to cut it at the high or low end of the band in a compromising effort. When building such an array you take advantage of height in the turning radius of the beam since you dont have to place all elements in a single line as with a yagi which imposes limits on antenna length. by utilising height of the array you can have a smaller rotating radius with the same gain of a yagi with a larger turning radius together with a bandwidth with smoothed variables. Hope that helps and clears some of the mystery away from clustered arrays. This aproach by the way also applies to vertical arrays from which you can get horizontal, vertical and circular radiation where each has its special place of use. Use of academic terms was only provided because some academics don't like change and want to see the same things they see in books and for some reason were taught that talk of statics in the same room as electromagnetics is blasphamy yet they cannot bring forward anything in the books that say they are totally separable. By the way I mentioned Nagy where as it should have been Brown who did so much in recent years in broadcasting and T.V. Have fun with antennas and don't get intimidated by those who learned things in College only to memorise and pass exams instead of using knoweledge to advance the quality of life. Best regards Art Jerry Martes wrote: Hi Art Thanks for taking your time to direct me to some very complex thinking. But, I'm a rather simple guy who isnt well educated. You apparently expect a "just regular guy" like me to understand the ccomplex convoluted theoretical stuff that you write about. When I did work as an antenna design engineer, years ago, I saw some of my buddies working on the distribution of energy across apertures in an effort to shape beams. One of their considerations was to decrease the power to the elements as they were more distant from the center of the array. I remember reading that when the power is tapered to provide a distribution about equivalent to a Gaussian Distribution, the side lobes were minimal. I really enjoy thinking about real antenna construction projects. but, when it gets to the Maxwell's Equation kind of analysis, I get lost. I dont even know what a Vector is. You may have the wrong impression about me, Art, I'm an old guy who wants to have fun with antennas. It isnt necessary for you to tell me to "get back to basics". I dont have interest in the "basics" you refer to. Is it possible for you to tell us (me) what you are referring to without referring to Vectors, Gauss's law, Lorentz, "Nagi", and even elementary calculus? Frankly, Art, you confuse me when you write such scholarly paragraphs. You and I are so far removed from each other intellectually that I can never keep up with your texts. Jerry "art" wrote in message ups.com... Jerry, get back to basics and look up a conservative field relative to Gaussian law. Step 1 It is a group of electric charges with an addition vector of zero. So move backwards and remove that vector if you wish and you have a gaussian field of electrical charges which in the case of a bunch of resonant elements can be seen as all positive or all negative charges and we also know that Gaussian law is valid even for enclosed charges in motion. Step 2 The vector that we removed is known as curl but at this time nit has no valu is the samee tho the vector direction is known. Step 3 Faraday's law of Induced electromotive force. This is somewhat opposite to the consevative field in terms of rotation but in relative terms it where the consevative field is revolving around a magnetic field ( hopefully you can visualise this) So we have a charge q in an element of length ds, which element, at the instant considered has velocity u,experiences a force. Now I know some have difficulty with what I said earlier with respect to adding " at an instant of time) to Gausses law which is the same length of time referred to above as " at the instant considered " Gtep 4 We then examine Lorentz equation which refers to an induced electric field which is present when, for example the magnetic field is changing with time such that v1 = 1/q integral F.ds. You can now see that any CONSERVATIVE force that might be included in F would integrate to zero thus ommiting any electrostatic field that might be present Note again faradays law, it is valid regardloess of the nature of the factor or factors responsible for change in magnetic flux. So now the overview of the cluster of resonant elements projected a conservative field with a magnetic vector of zero reflecting" an instant of time" with respect to resonant elements and where the magnetic field will provide motion to the electrostatic field where all charges will exibit the same direction of charge and will change in unison Now no amount of writing will get you to understand this flow of concept if you are not willing to have an open mind or think around something that at the present time you fail to understand and are not willing to rethink thing, possibly in a different way than I presented it. If you are so inclined you can go back further in history and play with the 4 vertical array of elements formed by Nagi to obtain possible insights since he also worked with an array of vertical elements all of which were resonant. His work has been rechecked via Matlab and found to be correct so you have a viable path to follow if you have a modicom of interest in this new concept. It must be noted that the above is only a partial description of the concept because I have yet to add a detuned element for directional purposes for the radiation field. There is nothing more that I can add that will persuade you to follow thru with this concept so I believe I have now reached the Rubicon with respect to this vision of mine. If you can't understand it now put it down to me not being smart enough to explain clearly electromagnetics to those skilled in the art which I am now finding to be a hopeless task at least here in the U.S. unless one can read it in a book and memorise it so one can pass an exam.. Art Jerry Martes wrote: "JIMMIE" wrote in message ups.com... Dave wrote: "art" wrote in message ups.com... In the thread Rain static I referred to a closed surface which is clearly defined by Gauss's law. Gauss's law doesn't define a surface, the surface is any arbitrary surface surrounding a charge. Let us now look at a time vary field applied to a dielectric. I fht efield is applied for the shortest of time the charges will stay on the surface. If time is longer than the shortest space of time you make it sound like there is some 'shortest' time where charges won't move. this is not true. no matter how short you make the time it will move the charges. then charges will openetrate the closed surface. If the surface is an insulator type then it takes a long while to penetrate but if the surface Here you mix up 'surface' and 'surface'. the gauss's law 'surface' is a mathematically useful construction around a charge, it does not have any charge 'on' it, nor is there any 'penetration' of it by charge in gauss's law. it is strictly a non-material thing that is used only for calculation purposes. is a good conductor then the charges will penetrate very quickly so we can associate the time constant of penetration to the subject of skin depth. If we are to associate the time varying field to a gaussian field you have yet to define a 'gaussian field'. gauss's law applies to electric fields and their relation to charges. all the excess charges must be on the surface by law. only in a 'perfect' conductor. dielectrics and 'empty' space can have distributed charges throughout. Or in other words the time evolved must be shorter than the time required to begin penetration. huh? it just goes down hill from here. write some equations, do some drawings, publish a manuscript. all the rest is empty handwaving based on incorrect assumptions and missing definitions. Thus for a short space of time all charges are on the surface and the charges have a magnhe radiating eneetic and electric field vectors. Just having charges is not enough to convert to a gaussian field in that a gaussian field must be in equilibrium thus a cluster of elements must have the direction of the surface charges change in unison. For a cluster of elements to do this they must all be resonant such that the charges reach the ends of the elements at the same time. Resonance of an element is determined by its diameter and its length and because it is coupled to other elements in the cluster the coupling must be taken into account to secure resonance of not only the individual elements but of the cluster as a whole. When this is accomplished the charges on the surface of the closed volume are in equilibrium but onty for that shortest of short time and where that time is added to the gaussian formulae for the transition to be complete. For the Gaussian field or volume we can say the energy inside the gaussian field is equal to that supplied by flux to the outside of the border and remember the flux inside consists of magnetic and electric vectoirs. We now can say that in a moment of time the flux produced from each element that breaches the border in summation with the other elements is equal to the radiating field outside of the border when each element energy makes the transmittion. Thus the summation of each of the clustered elements individual energy when the vectors are given a value must equal the flux on the outside of the border that produces radiation. We also know that if we have a cluster of elements that are clustered together we can obtain radiation by just applying a time varing field to just one of the elements and by virtue of intercoupling all the radiating energy will leave the near field. Thus we have two different methods of determining the value of the radiated field ! radiation from the clustered within a Gaussian field and 2 radiation from an array of coupled elements Since the elements within the cluster are all of the same "Q'" the determination of all factors in the resulting equation are simplified to Ohms law and where the laborious coupling calculations are omitted. The above describes in first principles as to how a Gaussian field in a short space of time can be equated to a radiating cluster using existing laws of the masters which also embraces NEC code. Now many have said I have no understanding of radiation concepts so go ahead and tear this apart and have a merry Xmas doing it Art Unwin KB9MZ..........XG It appears Art has picked up some phrases haphazardly and is trying to apply them to antennas some how, If I remember correctly doesnt Gaussian field apply to statistical distribution. Been a long time since I had statistical analysis back in the early 70s but I think this is also refered to as a "normal distribution". Hi Jimmy By my standards, you are *Right On* on all you wrote. I'm pretty sure Gaussian distribution of power across a radiating plane results (theoretically) in zero side lobes, That is also a very poor distribution when gain is a goal. I think the term Normal is synonymous with Gaussian when referring to aperture distribution. Jerry |
All times are GMT +1. The time now is 07:01 PM. |
Powered by vBulletin® Copyright ©2000 - 2025, Jelsoft Enterprises Ltd.
RadioBanter.com