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On Fri, 05 Aug 2005 15:05:08 -0500, Cecil Moore
wrote: I wish I could share my email with you. There is only agreement and encouragement. Oh, how touching. Wallflower testimonials. Must be a couple of thousand by now. Try sending them to your editor, at least it would prove you have circulation capacity. I stick with a thread longer than I probably should. You must find that mail pretty shallow then. |
You are my hero Cecil!
"Cecil Moore" wrote in message ... Fred W4JLE wrote: I have only found infallibility in Terman, Kraus, Maxwell, The Pope, and now Cecil! I apologize profusely, Fred, and will strive for infallibility. -- 73, Cecil http://www.qsl.net/w5dxp ----== Posted via Newsfeeds.Com - Unlimited-Uncensored-Secure Usenet News==---- http://www.newsfeeds.com The #1 Newsgroup Service in the World! 120,000+ Newsgroups ----= East and West-Coast Server Farms - Total Privacy via Encryption =---- |
Cecil Moore wrote: Why do you refuse to answer the question: Given reflected energy rejected by a mismatched load, what causes the reversal of direction of the energy flow and momentum at the match point? The only thing which can cause energy to change direction is reflection. I have answered that question every time you asked it. Perhaps you were just unable to grasp the meaning of the answer. It means that for an electromagnetic wave to reverse direction, it must encounter a change in the nature of the conducting medium. Interference results when two or more waves superpose. The pattern is the amplitude resultant plotted as a function of position. It may be generated as a result of a reflection, but is not an entity which itself reflects waves. Impedance discontinuities or changes in the index of refraction - those things cause reflection. An interference pattern created by waves is still just waves arranged differently. Waves don't cause other waves to change direction. If you think they do, then you need to try to find some proof. Adding your misguided editorials to desriptions of interference doesn't qualify. ac6xg |
Cecil, W5DXP wrote:
"What phenomenon of physics causes the energy and momentum in that wave to reverse direction?" It must keep moving and if it can`t go somewhere it goes elsewhere. Shorts and opens are a way to control current which in its magnitude, phase, and path produces fields. In a transmission line or wave guide, waves are guided. In free-space, waves move away from the source. In a small single-turn loop, the current everywhere within the loop is very nearly the same. A complete null is achieved on the axis of the loop (see 3rd edition of Kraus` "Antennas" page 204, Fig. 7-7). The loop`s null results from equidistance along the axis srom corrent and fields which are in opposite directions. The fields are moving in the same directions but because of their opposite polarities add to zero along the axis. So, to opens and shorts, equal and opposite radiation fields can be added to the list of things which cancel energy traveling in a certain direction. When a fixed rate of energy flow must be maintained, cancelled energy must emerge in the noncancelled directions. It`s energy conservation. Best regards, Richard Harrison, KB5WZI |
On Fri, 05 Aug 2005 15:42:36 -0500, Cecil Moore
wrote: Why do you refuse to answer the question On Fri, 05 Aug 2005 17:25:53 -0700, Jim Kelley wrote: I have answered that question every time you asked it. Hmmm, an infinite reflection problem. This certainly must be the single place precision proof for having enough energy not to cancel anything. C'mon guys, dress it up with some style or humor, otherwise it is like watching C-SPAN with two politicians spitting at each other in an empty chamber of congress. :-) 73's Richard Clark, KB7QHC |
Jim Kelley wrote:
The only thing which can cause energy to change direction is reflection. I have answered that question every time you asked it. But that is a non-answer and you don't offer any idea as to the cause of the reflection. What causes 100% re-reflection of reflected waves in a matched system? You are still avoiding a valid answer. It means that for an electromagnetic wave to reverse direction, it must encounter a change in the nature of the conducting medium. Assume it encounters a power reflection coefficient of 0.5 in a matched system. What causes the reflection of the other half of the reflected energy? Impedance discontinuities or changes in the index of refraction - those things cause reflection. Yes, and wave cancellation in a transmission line only happens at an impedance discontinuity so your assertion has no point. An interference pattern created by waves is still just waves arranged differently. On the contrary, wave cancellation at a match point is permanent. The waves cease to existence in the direction of the source. They are not arranged differently. Your assertion is obviously false for interference patterns at match points in transmission lines. Before you go into a tirade, what you say is usually true, just not for match points in transmission lines which is a special case. Waves don't cause other waves to change direction. Normally, that's true. But when the two coherent waves disappear from existence in the direction of the source, the conservation of energy principle takes over. If the energy is not flowing toward the source then it must necessarily flow toward the load. That is such a simple concept it's hard to believe that you cannot comprehend it. It's explained in the web page quote below. If you think they do, then you need to try to find some proof. Isn't the following proof enough? They are talking about wave cancellation such as happens at a non-reflective surface or a match point in a transmission line. "... when two waves of equal amplitude and wavelength that are 180- degrees out of phase with each other meet, they are not actually annihilated. All of the photon energy present in these waves must somehow be recovered or redistributed in a new direction, according to the law of energy conservation ..." "Redistributed in a new direction" in a transmission line means changing direction. What is it about that simple concept that you fail to comprehend? -- 73, Cecil http://www.qsl.net/w5dxp ----== Posted via Newsfeeds.Com - Unlimited-Uncensored-Secure Usenet News==---- http://www.newsfeeds.com The #1 Newsgroup Service in the World! 100,000 Newsgroups ---= East/West-Coast Server Farms - Total Privacy via Encryption =--- |
Richard Harrison wrote:
Cecil, W5DXP wrote: "What phenomenon of physics causes the energy and momentum in that wave to reverse direction?" So, to opens and shorts, equal and opposite radiation fields can be added to the list of things which cancel energy traveling in a certain direction. Thanks Richard, that's what I have been trying to say. And the "equal and opposite radiation fields" can occur inside a transmission line at an impedance discontinuity. After all, an RF transmission line signal is just EM wave-fields contained by a boundary. Walter Maxwell said such in "Reflections II", page 23-9: "With equal magnitudes and opposite phase at the same point (Point A, the matching point), the sum of the two waves is zero." When two waves sum to zero, their energy components must be redistributed. In a transmission line, if energy ceases flowing in one direction, it must change directions. That's a reflection. So here's a list of things that can cause 100% re-reflection of reflected energy in a transmission line. 1. short-circuit, 2. open-circuit, 3. pure reactance, 4. permanent wave cancellation at an impedance discontinuity. -- 73, Cecil http://www.qsl.net/w5dxp ----== Posted via Newsfeeds.Com - Unlimited-Uncensored-Secure Usenet News==---- http://www.newsfeeds.com The #1 Newsgroup Service in the World! 100,000 Newsgroups ---= East/West-Coast Server Farms - Total Privacy via Encryption =--- |
Cecil Moore wrote: Jim Kelley wrote: The only thing which can cause energy to change direction is reflection. I have answered that question every time you asked it. But that is a non-answer and you don't offer any idea as to the cause of the reflection. I have also explained the cause of reflection to you many times. (Hint: it's the change in media thing. See below for one example.) What causes 100% re-reflection of reflected waves in a matched system? You are still avoiding a valid answer. I wrote you an email with a reference that I recomended you read. It's the best explanation I've seen. I'll bet you haven't read it. I don't know why you keep saying I avoid these things when my efforts to explain it to you is my entire purpose for corresponding on the subject. It means that for an electromagnetic wave to reverse direction, it must encounter a change in the nature of the conducting medium. Assume it encounters a power reflection coefficient of 0.5 in a matched system. What causes the reflection of the other half of the reflected energy? The thing that causes reflection is a change in media. Impedance, index of refraction - something like that. See below. Impedance discontinuities or changes in the index of refraction - those things cause reflection. Yes, and wave cancellation in a transmission line only happens at an impedance discontinuity so your assertion has no point. Then it must be that your question, which I answered, had no point. An interference pattern created by waves is still just waves arranged differently. On the contrary, wave cancellation at a match point is permanent. The statement is less contrary than your disposition. Waves don't cause other waves to change direction. Normally, that's true. As if you would know. It's of course always true. ac6xg |
Jim Kelley wrote:
Cecil Moore wrote: I wrote you an email with a reference that I recomended you read. It's the best explanation I've seen. I'll bet you haven't read it. You simply cannot hurl nasty, obscene, ad hominem insults and still expect someone to read your emails. You cannot say you weren't warned. Waves don't cause other waves to change direction. Normally, that's true. As if you would know. It's of course always true. It is, of course, not always true as proven by the quote from the following web page. What is it about WAVE INTERFERENCE causing energy to be "redistributed in a new direction" that you don't understand? It clearly contradicts what you are asserting. It plainly asserts that TWO INTERFERING WAVES can cause the energy in the two waves to change direction. And it can only happen at an impedance discontinuity which should be enough to satisfy your requirements. "... when two waves of equal amplitude and wavelength that are 180- degrees out of phase with each other meet, they are not actually annihilated. All of the photon energy present in these waves must somehow be recovered or redistributed in a new direction, according to the law of energy conservation ... Instead, upon meeting, the photons are redistributed to regions that permit constructive interference, so the effect should be considered as a redistribution of light waves and photon energy rather than the spontaneous construction or destruction of light." We are just going to have to agree to disagree on this one. But I do believe that my references outweigh yours by a long shot. -- 73, Cecil http://www.qsl.net/w5dxp ----== Posted via Newsfeeds.Com - Unlimited-Uncensored-Secure Usenet News==---- http://www.newsfeeds.com The #1 Newsgroup Service in the World! 100,000 Newsgroups ---= East/West-Coast Server Farms - Total Privacy via Encryption =--- |
Cecil Moore wrote: Jim Kelley wrote: Cecil Moore wrote: I wrote you an email with a reference that I recomended you read. It's the best explanation I've seen. I'll bet you haven't read it. You simply cannot hurl nasty, obscene, ad hominem insults and still expect someone to read your emails. You cannot say you weren't warned. For those reading along, here are the remarks Cecil is characterizing as nasty and obscene: "I understand your point perfectly. You still fail to address a single point. You're a very odd cat, Cecil. The hostility is totally weird." ac6xg |
Jim Kelley wrote:
For those reading along, here are the remarks Cecil is characterizing as nasty and obscene: Please don't be ridiculous. No, the remarks I am characterizing as nasty and obscene are commonly know as "mind f__king". -- 73, Cecil http://www.qsl.net/w5dxp ----== Posted via Newsfeeds.Com - Unlimited-Uncensored-Secure Usenet News==---- http://www.newsfeeds.com The #1 Newsgroup Service in the World! 100,000 Newsgroups ---= East/West-Coast Server Farms - Total Privacy via Encryption =--- |
Cecil Moore wrote:
Jim Kelley wrote: For those reading along, here are the remarks Cecil is characterizing as nasty and obscene: Please don't be ridiculous. No, the remarks I am characterizing as nasty and obscene are commonly know as "mind f__king". That's obscene alright. Maybe it was when I said that you're describing the match point as if it were a 100% reflective one-way mirror. A one way mirror is actually not a bad analogy. Problem is you keep insisting that it must be 100% reflective - which obviously can't work. I tried to explain that each reflection is only partial, but each wavefront subsequently experiences multiple reflections - each time reduced in amplitude by a factor of rho1*rho2 per round trip. And, that the total amplitude equals the sum of all previous undamped reflections, which happens to equal the 100% number. That's what is in the textbooks I referred to you. It's also what Walt explains in his 1/4 wave transformer diagrams. If the truth is a vulgar obscenity to you, then I guess I might rightly be accused of "hurling" that at you. ac6xg |
Jim Kelley wrote:
I tried to explain that each reflection is only partial, but each wavefront subsequently experiences multiple reflections - each time reduced in amplitude by a factor of rho1*rho2 per round trip. And, that the total amplitude equals the sum of all previous undamped reflections, which happens to equal the 100% number. That's what is in the textbooks I referred to you. It's also what Walt explains in his 1/4 wave transformer diagrams. That is also what I have been saying and nothing I have said disagrees with anything above. I have not introduced anything new. I have merely tied a couple of loose ends together by bringing some well understood concepts over from optics to RF engineering. Wave interference indeed can cause a redistribution in the direction of energy flow. Wave cancellation doesn't just happen one time and it's over. Wave cancellation is a continuous steady-state process and continues until the source is shut down. It appears to me that is what you may be missing. If the truth is a vulgar obscenity to you, then I guess I might rightly be accused of "hurling" that at you. There's a mild example of your mind-f__king ways, Jim. I knew it would only be a matter of time until you pulled that crap again. You don't seem to be able to help yourself. So have you stopped beating your wife yet? -- 73, Cecil http://www.qsl.net/w5dxp ----== Posted via Newsfeeds.Com - Unlimited-Uncensored-Secure Usenet News==---- http://www.newsfeeds.com The #1 Newsgroup Service in the World! 120,000+ Newsgroups ----= East and West-Coast Server Farms - Total Privacy via Encryption =---- |
Cecil Moore wrote: Wave interference indeed can cause a redistribution in the direction of energy flow. Not correct. What you don't seem to grasp here is that's exactly the same as saying 'a standing wave pattern causes energy to be redistributed'. Wave interference is simply the visible manifestation of a redistribution of energy. It is a result. It is not the cause of the redistribution. ac6xg |
Jim Kelley wrote:
Cecil Moore wrote: Wave interference indeed can cause a redistribution in the direction of energy flow. Not correct. There you go again, playing semantic games, and trying to force your pet definition of "cause" on the rest of the world. You have obviously tried to redefined cause to mean "first cause", a concept that has so many holes in it that you can use it for a sieve. By saying the above, you are disagreeing with the following web page: http://micro.magnet.fsu.edu/primer/j...ons/index.html What you don't seem to grasp here is that's exactly the same as saying 'a standing wave pattern causes energy to be redistributed'. The existence of standing wave indeed does cause energy to be redistributed. Where the standing wave voltage is zero, the net energy is redistributed into the H-field. Where the standing wave current is zero, the net energy is redistributed into the E-field. It is all because of the standing wave. If the standing wave didn't exist, that wouldn't happen. Therefore, standing waves cause energy to be redistributed. A causes B. B causes C. C causes D. Of course, the standing waves are only one item in a cause and effect chain. The standing waves are an effect caused by interference between forward-traveling waves and rearward-traveling waves. The forward-traveling wave is an effect caused by a source. The rearward-traveling wave is an effect caused by a mismatched load. The source and the load are caused by human beings. The load is caused by human choice. Humans beings are caused by ... See where your "first cause" concept leads? i.e. nowhere! Following your above logic, I assume you would say the Big Bang is the cause of everything and nothing since then has been the cause of anything. Wave interference is simply the visible manifestation of a redistribution of energy. It is a result. It is not the cause of the redistribution. Wave cancellation is permanent and is first an effect and then a cause in a long line of cause and effect events. I see now why your argument cannot tolerate the concept of a before and after. The two signals coming from two different directions incident upon an impedance discontinuity cause reflections. Wave cancellation is caused by permanent destructive interference between two of those reflected waves. The Wave cancellation in turn causes the energy to be redistributed. Let's parse the following so even you can understand it: "All of the photon energy present in these waves must somehow be recovered or redistributed in a new direction, according to the law of energy conservation ..." Wave cancellation causes an energy redistribution. This is obvious to anyone except someone who believes the Big Bang was the only cause ever. You remind me of the bully who beats up his wife and then says, "She caused me give her that black eye." Here's your logic once again. Lightning hits my ICOM and fries it. Was lightning the cause? No. Was a low pressure depression the cause? No. Was whatever caused the low pressure depression the cause? No. There must have been something before that. Maybe the proverbial butterfly flapping its wings in China? See how silly your argument is? -- 73, Cecil http://www.qsl.net/w5dxp ----== Posted via Newsfeeds.Com - Unlimited-Uncensored-Secure Usenet News==---- http://www.newsfeeds.com The #1 Newsgroup Service in the World! 100,000 Newsgroups ---= East/West-Coast Server Farms - Total Privacy via Encryption =--- |
Jim Kelley wrote:
Cecil Moore wrote: Wave interference indeed can cause a redistribution in the direction of energy flow. Not correct. Note I said "can cause", not "will cause". Jim, you caused me to hit the books on cause and effect and the effect was a refresher course on what I already knew. From "Introduction to Logic", by Copi: "The word 'cause' is sometimes used in the sense of necessary condition and sometimes in the sense of sufficient condition." Is permanent wave cancellation a sufficient condition for a redistribution of energy to happen. The answer is "yes" according to my web page references. Therefore, permanent wave cancellation *will* indeed cause a redistribution of energy. Please note above that I said wave interference indeed *can* cause a redistribution of energy. I chose "can" instead of "will" because wave interference is not sufficient to cause the redistribution of energy. Wave cancellation is a special case of wave interference in which the waves *cease to exist* in their original direction of travel. The conservation of energy principle dictates that the energy contained in those waves before they are canceled, must necessarily be redistributed along a different path. Note: Any different path in a transmission line is necessarily the opposite direction, i.e. a reflection. -- 73, Cecil http://www.qsl.net/w5dxp ----== Posted via Newsfeeds.Com - Unlimited-Uncensored-Secure Usenet News==---- http://www.newsfeeds.com The #1 Newsgroup Service in the World! 120,000+ Newsgroups ----= East and West-Coast Server Farms - Total Privacy via Encryption =---- |
On Tue, 09 Aug 2005 12:53:40 -0500, Cecil Moore
wrote: Jim Kelley wrote: Cecil Moore wrote: Wave interference indeed can cause a redistribution in the direction of energy flow. Not correct. There you go again, playing semantic games, and trying to force your pet definition of "cause" on the rest of the world. You have obviously tried to redefined cause to mean "first cause", a concept that has so many holes in it that you can use it for a sieve. By saying the above, you are disagreeing with the following web page: http://micro.magnet.fsu.edu/primer/j...ons/index.html What you don't seem to grasp here is that's exactly the same as saying 'a standing wave pattern causes energy to be redistributed'. The existence of standing wave indeed does cause energy to be redistributed. Where the standing wave voltage is zero, the net energy is redistributed into the H-field. Where the standing wave current is zero, the net energy is redistributed into the E-field. It is all because of the standing wave. If the standing wave didn't exist, that wouldn't happen. Therefore, standing waves cause energy to be redistributed. A causes B. B causes C. C causes D. Of course, the standing waves are only one item in a cause and effect chain. The standing waves are an effect caused by interference between forward-traveling waves and rearward-traveling waves. The forward-traveling wave is an effect caused by a source. The rearward-traveling wave is an effect caused by a mismatched load. The source and the load are caused by human beings. The load is caused by human choice. Humans beings are caused by ... See where your "first cause" concept leads? i.e. nowhere! Snip Here's your logic once again. Lightning hits my ICOM and fries it. Was lightning the cause? No. Was a low pressure depression the cause? No. Was whatever caused the low pressure depression the cause? No. There must have been something before that. Maybe the proverbial butterfly flapping its wings in China? See how silly your argument is? Jim, try the following on for size: Let us now determine why open or short circuits are developed by wave interference. From King,37 we know that voltage and current traveling along the line can be represented by individual generators placed at any point along the line. Those generators are called "point generators." For the purpose of analysis, a point generator is an impedance-less EMF that can represent or replace the voltage and current on the line equal to the voltage and current actually appearing at that point on the line, without disturbing the wave action on the line. To simulate and analyze interference between two waves of equal magnitude and opposite phase traveling in the same direction, such as the two sets of reflected waves generated by the load mismatch and the stub mismatch, we can connect two point generators together in either of two different configurations. Each generator replaces the voltage and current of each individual wave at the point of interference, the match point. In the first configuration, the two generators are connected in phase. Because their voltages are equal and in phase, the differential voltage is zero, resulting in no current flow. This connection is equivalent to an open circuit between the generators. In the second configuration, the generators are connected with their terminals reversed. Their voltages are now in opposite phase at the interference point and the resulting voltage is the sum of the voltages delivered by each generator; i.e., twice the voltage of each generator. This connection results in a short circuit between the two generators. Identical wave-interference phenomena establishing a short circuit also occur in free space in the same manner as in guided-wave propagation along transmission lines. For example, when the fields emanating from two radiators in an array of antennas are of equal magnitude and 180° out of phase at a point in space, a virtual short circuit is established by destructive wave interference, resulting in a null in the radiation pattern at that point. Following Poynting's Theorem, the energy in the combined fields propagating is reversed in direction at that point; and with the constructive interference that follows, that energy adds to that in the fields propagating in the opposite direction, thus achieving gain in the that direction. Walt, W2DU .. |
Cecil Moore wrote: Please note above that I said wave interference indeed *can* cause a redistribution of energy. I chose "can" instead of "will" because wave interference is not sufficient to cause the redistribution of energy. Wave cancellation is a special case of wave interference in which the waves *cease to exist* in their original direction of travel. The conservation of energy principle dictates that the energy contained in those waves before they are canceled, must necessarily be redistributed along a different path. Note: Any different path in a transmission line is necessarily the opposite direction, i.e. a reflection. All correct - neither proving your point or disputing mine. The thing you really need to consider is: how much energy is actually "in" a wave (whatever that means) that delivers no energy. ac6xg |
Walter Maxwell wrote: Jim, try the following on for size: Let us now determine why open or short circuits are developed by wave interference. From King,37 we know that voltage and current traveling along the line can be represented by individual generators placed at any point along the line. Those generators are called "point generators." For the purpose of analysis, a point generator is an impedance-less EMF that can represent or replace the voltage and current on the line equal to the voltage and current actually appearing at that point on the line, without disturbing the wave action on the line. To simulate and analyze interference between two waves of equal magnitude and opposite phase traveling in the same direction, such as the two sets of reflected waves generated by the load mismatch and the stub mismatch, we can connect two point generators together in either of two different configurations. Each generator replaces the voltage and current of each individual wave at the point of interference, the match point. In the first configuration, the two generators are connected in phase. Because their voltages are equal and in phase, the differential voltage is zero, resulting in no current flow. This connection is equivalent to an open circuit between the generators. In the second configuration, the generators are connected with their terminals reversed. Their voltages are now in opposite phase at the interference point and the resulting voltage is the sum of the voltages delivered by each generator; i.e., twice the voltage of each generator. This connection results in a short circuit between the two generators. Identical wave-interference phenomena establishing a short circuit also occur in free space in the same manner as in guided-wave propagation along transmission lines. For example, when the fields emanating from two radiators in an array of antennas are of equal magnitude and 180° out of phase at a point in space, a virtual short circuit is established by destructive wave interference, resulting in a null in the radiation pattern at that point. Following Poynting's Theorem, the energy in the combined fields propagating is reversed in direction at that point; and with the constructive interference that follows, that energy adds to that in the fields propagating in the opposite direction, thus achieving gain in the that direction. Walt, W2DU Hi Walt, I think that is all well and good, Walt - except for your statement regarding the Poynting theorem. I can find no support in the literature for a claim that interference changes the direction of the Poynting vector - or for that matter, is a cause for any other phenomenon to occur. I once asked you for a reference, but your books weren't handy at the time. Let me know if it turns up. I am very interested to take a look at it. Thanks, Jim Kelley |
On Tue, 09 Aug 2005 13:15:18 -0700, Jim Kelley
wrote: Identical wave-interference phenomena establishing a short circuit also occur in free space in the same manner as in guided-wave propagation along transmission lines. For example, when the fields emanating from two radiators in an array of antennas are of equal magnitude and 180° out of phase at a point in space, a virtual short circuit is established by destructive wave interference, resulting in a null in the radiation pattern at that point. Following Poynting's Theorem, the energy in the combined fields propagating is reversed in direction at that point; and with the constructive interference that follows, that energy adds to that in the fields propagating in the opposite direction, thus achieving gain in the that direction. Walt, W2DU Hi Walt, I think that is all well and good, Walt - except for your statement regarding the Poynting theorem. I can find no support in the literature for a claim that interference changes the direction of the Poynting vector - or for that matter, is a cause for any other phenomenon to occur. I once asked you for a reference, but your books weren't handy at the time. Let me know if it turns up. I am very interested to take a look at it. Thanks, Jim Kelley Well, Jim, did you really grasp the paragraph above? How do you suppose that had it not been for wave interferencethe energy would have continued on in a particular radial direction, but due to the interference the result was a null in that direction and an increased amount of energy in the opposite, or forward direction, achieving gain in that direction? The energy certainly changed direction to achieve this condition. And you don't need references to understand this phenomenon either. There are some concepts that are understandable intuitively. Please Jim, don't tell us that the energy isn't changing direction in the rearrangement of the power distribution in the antenna pattern that is wholly caused by wave interference and nothing else. Walt |
On Tue, 09 Aug 2005 16:37:38 -0400, Walter Maxwell
wrote: How do you suppose that had it not been for wave interferencethe energy would have continued on in a particular radial direction, Hi Walt, What stopped it if not a physical barrier? but due to the interference the result was a null A null is not the absence of energy, but is the combination of equal and opposing forces. If you were the Ref at a title bout, and stepped between two punches of equal magnitude; then you wouldn't move very far, the motions would cancel, but most would doubt you'd be up again before the "count." Nulls are evidenced quite clearly in bridges of many designs. They may balance between huge potentials (energy), but evidence absolutely no current (or power from energy times current). If you unplugged the equipment from a bridge, the absence of current would not be an indication of a null. Nulls within the context of engineering necessarily carries the implication of energy present. in that direction and an increased amount of energy in the opposite, or forward direction, achieving gain in that direction? Linear systems do not exhibit "gain." The combination of forces are due to the total field in comparison to the region of interest. It is by similar simplifications that we have contributors here who offer that the radials of elevated ground planes do not radiate energy. Their contribution to producing a power at a remote load may cancel such that no power is evident, but this does not negate the radiation nor the energy present. 73's Richard Clark, KB7QHC |
Jim Kelley wrote:
Cecil Moore wrote: Please note above that I said wave interference indeed *can* cause a redistribution of energy. I chose "can" instead of "will" because wave interference is not sufficient to cause the redistribution of energy. Wave cancellation is a special case of wave interference in which the waves *cease to exist* in their original direction of travel. The conservation of energy principle dictates that the energy contained in those waves before they are canceled, must necessarily be redistributed along a different path. Note: Any different path in a transmission line is necessarily the opposite direction, i.e. a reflection. All correct - neither proving your point or disputing mine. I keep telling you that our only technical disagreements are over extremely minor points. You keep posting stuff as if we disagree when we don't and it is mostly just a ruse. You keep trying to forcefully shove your strawmen into my head so you can shoot them down, but that is just another ruse. It appears to me that you think wave cancellation is a one time event, like shooting a deer. The deer dies and that's that. But wave cancellation is not a one time event. Wave cancellation is a continuous steady-state infinite series of infinitessimal events. Wave cancellation is not possible without steady-state standing waves. If the forward power anywhere in the system is greater than the source power, then wave cancellation and constructive interference are continuously occuring during steady-state. The thing you really need to consider is: how much energy is actually "in" a wave (whatever that means) that delivers no energy. "In" in this context means "associated with" (and two letters is seven times as efficient as 14 letters). Energy is always associated with any wave, else the wave would never exist. For you to talk about canceled waves containing no energy is a contradiction. Dr. Best talked about canceled waves that keep flowing toward the source, canceling each other all the way, but containing zero energy. They exist only in his mind. All waves deliver energy somewhere even if it takes forever as in the case of the detected background radiation. In a lossless transmission line, all waves deliver energy to the load (and possibly to the source after power to the source is removed). Rearward-traveling canceled waves deliver their energy components in the direction of the load to later become incident upon the load. Anything else would violate the conservation of energy principle. The path the canceled waves take can be deduced by observing ghosts on a TV screen. There is no such thing in reality as a wave that delivers no energy. Waves cannot even exist without energy. Canceled waves have associated energy components before they were canceled. The Melles-Griot web page calls that energy the "lost" energy and says it is not lost at all. Those energy components must be redistributed in different directions after the waves are canceled. Redistribution of energy in a transmission line means changing direction, since there are only two directions. -- 73, Cecil http://www.qsl.net/w5dxp ----== Posted via Newsfeeds.Com - Unlimited-Uncensored-Secure Usenet News==---- http://www.newsfeeds.com The #1 Newsgroup Service in the World! 100,000 Newsgroups ---= East/West-Coast Server Farms - Total Privacy via Encryption =--- |
Jim Kelley wrote:
I can find no support in the literature for a claim that interference changes the direction of the Poynting vector - or for that matter, is a cause for any other phenomenon to occur. The Melles-Groit web page certainly supports wave cancellation being the cause of the "lost" reflected energy joining the forward wave. The Molecular Expressions web page certainly supports that same energy redistribution resulting from wave cancellation. And given the following example from "Fields & Waves ..." by Ramo & Whinnery, what do you think changes the direction of the Pz2- Poynting Vector such that it vectorally adds to the Pz1+ Poynting Vector resulting in the Pz2+ Poynting Vector? 100W XMTR---50 ohm line---+---291.4 ohm line---1698.5 ohm load Pz1+ = 100W-- Pz2+ = 200W-- --Pz1- = 0W --Pz2- = 100W If you can answer that simple question to the satisfaction of everyone, the discussion will be over. -- 73, Cecil http://www.qsl.net/w5dxp ----== Posted via Newsfeeds.Com - Unlimited-Uncensored-Secure Usenet News==---- http://www.newsfeeds.com The #1 Newsgroup Service in the World! 100,000 Newsgroups ---= East/West-Coast Server Farms - Total Privacy via Encryption =--- |
Richard Clark wrote:
Linear systems do not exhibit "gain." From the IEEE Dictionary: "gain - The ratio of radiation intensity, in a given direction, to the radiation intensity that would be obtained if the power accepted by the antenna were radiated isotropically." That is the gain that Walt is talking about. That is the gain that EZNEC reports. -- 73, Cecil http://www.qsl.net/w5dxp ----== Posted via Newsfeeds.Com - Unlimited-Uncensored-Secure Usenet News==---- http://www.newsfeeds.com The #1 Newsgroup Service in the World! 100,000 Newsgroups ---= East/West-Coast Server Farms - Total Privacy via Encryption =--- |
Cecil Moore wrote: And given the following example from "Fields & Waves ..." by Ramo & Whinnery, what do you think changes the direction of the Pz2- Poynting Vector such that it vectorally adds to the Pz1+ Poynting Vector resulting in the Pz2+ Poynting Vector? 100W XMTR---50 ohm line---+---291.4 ohm line---1698.5 ohm load Pz1+ = 100W-- Pz2+ = 200W-- --Pz1- = 0W --Pz2- = 100W If you can answer that simple question to the satisfaction of everyone, the discussion will be over. Any reflections (and Poynting vector reversals) would be caused by the presence of impedance discontinuities - not by anything else. In the absence of impedance discontinuities, the transmission line would appear to be infinitely long and would not produce reflections. ac6xg |
Cecil Moore wrote:
It appears to me that you think wave cancellation is a one time event, like shooting a deer. That would only be a naive perception on your part. Perhaps it is part of your misunderstanding? All waves deliver energy somewhere even if it takes forever as in the case of the detected background radiation. In a lossless transmission line, all waves deliver energy to the load (and possibly to the source after power to the source is removed). So your claim is that energy is delivered by two waves that are equal in amplitude and opposite in phase? There is no such thing in reality as a wave that delivers no energy. See Born and Wolf for examples. Waves cannot even exist without energy. Correction. Waves cannot be created without energy. Electromagnetic fields can indeed exist without necessarily conveying energy from one place to another. ac6xg |
On Tue, 09 Aug 2005 17:11:41 -0700, Jim Kelley
wrote: There is no such thing in reality as a wave that delivers no energy. See Born and Wolf for examples. Hi Jim, This is intriguing for a wave (I presume you were adhering to the singular). For those who lack these references, do you have any concrete examples? 73's Richard Clark, KB7QHC |
Jim Kelley wrote:
Cecil Moore wrote: And given the following example from "Fields & Waves ..." by Ramo & Whinnery, what do you think changes the direction of the Pz2- Poynting Vector such that it vectorally adds to the Pz1+ Poynting Vector resulting in the Pz2+ Poynting Vector? 100W XMTR---50 ohm line---+---291.4 ohm line---1698.5 ohm load Pz1+ = 100W-- Pz2+ = 200W-- --Pz1- = 0W --Pz2- = 100W If you can answer that simple question to the satisfaction of everyone, the discussion will be over. Any reflections (and Poynting vector reversals) would be caused by the presence of impedance discontinuities - not by anything else. The impedance discontinuity is certainly in the cause and effect *chain* as is the Poynting vector reversal. But simply asserting that the impedance discontinuity causes the Poynting vector reversal is a sophmoric begging of the question and leaves out some important details. A causes B. B causes C. C causes D. You are certainly logically correct in saying that A causes D, but your statement leaves out some important intermediate details, namely B and C. (see below) For instance, the impedance discontinuity causes nothing unless the source energy exists and is taken into account as a cause. The question is what are the necessary and sufficient conditions for an impedance discontinuity to result in a complete reversal of the (Pz2-) Poynting vector? Since a source is necessary, the source can be considered as a cause. (The creator of our species can even be considered as a necessary cause as can the Big Bang.) Looking at it from a scientific standpoint, the impedance discontinuity can only directly reverse half the magnitude of the Poynting Vector because the physical power reflection coefficient is 0.5. So how does the other half of the magnitude of the Poynting Vector get reversed? It's all been covered by the Melles-Griot web page and the Molecular Expressions FSU web page. In the presence of EM source energy, the impedance discontinuity causes reflections. One of those reflections reverses half the magnitude of the (Pz2-) Pointing Vector. That magnitude is (Pz2-)(rho^2). Two of those reflections engage in wave cancellation. One is (Pz1+)(rho^2). The other is (Pz2-)(1-rho^2), the other half of the (Pz2-) Poynting Vector. These two reflections have equal magnitudes and opposite phases and therefore cancel. Their energy components reverse direction and head back toward the load as explained on the Melles-Groit and Molecular Expressions web pages. And that's how the (Pz2-) Poynting Vector gets reversed. It's a two-step process, each step involving half of Pz2- in the above example. In the absence of impedance discontinuities, the transmission line would appear to be infinitely long and would not produce reflections. That's true. The impedance discontinuity causes the reflections that engage in wave cancellation. In steps, it goes like this. A. Impedance discontinuity driven by a source of EM energy B. Reflections (implied mismatch) C. Wave Cancellation (permanent destructive interference) D. Energy direction and momentum reversal (constructive interference) A causes B. B causes C. C causes D. This is in any freshman logic book. You are certainly logically correct in saying that A causes D, but your statement leaves out some important intermediate details. Those intermediate details are what this discussion is all about. -- 73, Cecil http://www.qsl.net/w5dxp ----== Posted via Newsfeeds.Com - Unlimited-Uncensored-Secure Usenet News==---- http://www.newsfeeds.com The #1 Newsgroup Service in the World! 100,000 Newsgroups ---= East/West-Coast Server Farms - Total Privacy via Encryption =--- |
Jim Kelley wrote:
So your claim is that energy is delivered by two waves that are equal in amplitude and opposite in phase? Naturally, zero energy is delivered in the direction of the complete wave cancellation. The energy in the two canceled waves is delivered in the opposite direction from their power-flow vectors. Anything else would violate the conservation of energy principle. It's not really my claim. That is what is claimed by the Melles-Groit and Molecular Expressions web pages. That is what is claimed by Hecht, in "Optics". That is what is claimed by Walter Maxwell in "Reflections". Walt calls it a "virtual short". I had forgotten that he had described it so well until I re-read it. Walt's QST articles in the 70's were where I encountered these principles for the first time. Maxwell, Walter, Reflections II, © 2001 Worldradio Books Page 4-3, "The destructive wave interference between these two complementary waves ... causes a complete cancellation of energy flow in the direction toward the generator. Conversely, the constructive wave interference produces an energy maximum in the direction toward the load, ..." (I had forgotten about that being in "Reflections". "Optics" was only a refresher of the "Reflections" material.) Page 23-9, "Consequently, all corresponding voltage and current phasors are 180 deg out of phase at the matching point. ... With equal magnitudes and opposite phase at the same point (point A, the matching point), the sum of the two (reflected) waves is zero." Waves cannot even exist without energy. Correction. Waves cannot be created without energy. Electromagnetic fields can indeed exist without necessarily conveying energy from one place to another. Correction. DC electromagnetic fields can exist without conveying energy but the context is RF EM waves. EM wave-fields cannot exist without energy. They can only exist at the speed of light, i.e. with ExM joules/sec passing a point. The use of your tricky-dicky definition for "convey" doesn't change those facts of physics. -- 73, Cecil http://www.qsl.net/w5dxp ----== Posted via Newsfeeds.Com - Unlimited-Uncensored-Secure Usenet News==---- http://www.newsfeeds.com The #1 Newsgroup Service in the World! 100,000 Newsgroups ---= East/West-Coast Server Farms - Total Privacy via Encryption =--- |
Richard Clark wrote:
Jim Kelley wrote: There is no such thing in reality as a wave that delivers no energy. See Born and Wolf for examples. This is intriguing for a wave (I presume you were adhering to the singular). For those who lack these references, do you have any concrete examples? Beware when Jim uses the words, "power", "deliver", "convey", "transfer", etc. They don't mean to him what you, I, Webster, and the IEEE Dictionary say they mean. :-) -- 73, Cecil http://www.qsl.net/w5dxp ----== Posted via Newsfeeds.Com - Unlimited-Uncensored-Secure Usenet News==---- http://www.newsfeeds.com The #1 Newsgroup Service in the World! 100,000 Newsgroups ---= East/West-Coast Server Farms - Total Privacy via Encryption =--- |
Cecil Moore wrote: The impedance discontinuity is certainly in the cause and effect *chain* as is the Poynting vector reversal. But simply asserting that the impedance discontinuity causes the Poynting vector reversal is a sophmoric begging of the question and leaves out some important details. A causes B. B causes C. C causes D. You are certainly logically correct in saying that A causes D, but your statement leaves out some important intermediate details, namely B and C. (see below) For instance, the impedance discontinuity causes nothing unless the source energy exists and is taken into account as a cause. The question is what are the necessary and sufficient conditions for an impedance discontinuity to result in a complete reversal of the (Pz2-) Poynting vector? Since a source is necessary, the source can be considered as a cause. (The creator of our species can even be considered as a necessary cause as can the Big Bang.) Looking at it from a scientific standpoint, the impedance discontinuity can only directly reverse half the magnitude of the Poynting Vector because the physical power reflection coefficient is 0.5. So how does the other half of the magnitude of the Poynting Vector get reversed? It's all been covered by the Melles-Griot web page and the Molecular Expressions FSU web page. In the presence of EM source energy, the impedance discontinuity causes reflections. One of those reflections reverses half the magnitude of the (Pz2-) Pointing Vector. That magnitude is (Pz2-)(rho^2). Two of those reflections engage in wave cancellation. One is (Pz1+)(rho^2). The other is (Pz2-)(1-rho^2), the other half of the (Pz2-) Poynting Vector. These two reflections have equal magnitudes and opposite phases and therefore cancel. Their energy components reverse direction and head back toward the load as explained on the Melles-Groit and Molecular Expressions web pages. And that's how the (Pz2-) Poynting Vector gets reversed. It's a two-step process, each step involving half of Pz2- in the above example. And that folks, is the sound of one hand waving. :-) In the absence of impedance discontinuities, the transmission line would appear to be infinitely long and would not produce reflections. That's true. The impedance discontinuity causes the reflections that engage in wave cancellation. In steps, it goes like this. A. Impedance discontinuity driven by a source of EM energy B. Reflections (implied mismatch) C. Wave Cancellation (permanent destructive interference) D. Energy direction and momentum reversal (constructive interference) A causes B. B causes C. C causes D. This is in any freshman logic book. You are certainly logically correct in saying that A causes D, but your statement leaves out some important intermediate details. Those intermediate details are what this discussion is all about. Except that D is not caused by, and cannot be caused by C. Only reflection can cause reflection. The claim that momentum reverses direction without encountering a physical reflector is a violation of conservation of momentum. ac6xg |
Cecil Moore wrote: Waves cannot even exist without energy. Correction. Waves cannot be created without energy. Electromagnetic fields can indeed exist without necessarily conveying energy from one place to another. Correction. DC electromagnetic fields can exist without conveying energy but the context is RF EM waves. Tell us more about DC electromagnetic fields, Mr. Science! :-) EM wave-fields cannot exist without energy. Like I said, they cannot be created without energy. They can however exist without conveying energy from one place to another. ac6xg |
On Tue, 09 Aug 2005 13:56:40 -0700, Richard Clark
wrote: Hi Walt, What stopped it if not a physical barrier? Richard, there is no physical barrier in an antenna array that changes the shape of the radiated pattern. The barrier is caused only by destructive wave interference. but due to the interference the result was a null A null is not the absence of energy, but is the combination of equal and opposing forces. If you were the Ref at a title bout, and stepped between two punches of equal magnitude; then you wouldn't move very far, the motions would cancel, but most would doubt you'd be up again before the "count." In a title bout two punches of equal magniude are coming from opposite directions. The energies in the two punches is dissipated in the noggins of the morons who got into the bout;. The resulting null is in reducing the already worped brains to zero. Nulls are evidenced quite clearly in bridges of many designs. They may balance between huge potentials (energy), but evidence absolutely no current (or power from energy times current). If you unplugged the equipment from a bridge, the absence of current would not be an indication of a null. Nulls within the context of engineering necessarily carries the implication of energy present. We're not talking about nulls in bridges, we're talking about energy controlled in desired directions, reduced in some directions, with the energy lost in one direction adding to that in another; but you know this. in that direction and an increased amount of energy in the opposite, or forward direction, achieving gain in that direction? Linear systems do not exhibit "gain." The combination of forces are due to the total field in comparison to the region of interest. Well, Richard, there is no non-linearity in the formation of antenna radiation patterns. Are you saying there is no 'gain' when energy is taken from one direction and pushed into another? With respect to radiation patterns, 'gain' is relative, and not consideredas an increase in power. But you know that too. It is by similar simplifications that we have contributors here who offer that the radials of elevated ground planes do not radiate energy. Their contribution to producing a power at a remote load may cancel such that no power is evident, but this does not negate the radiation nor the energy present. 73's Richard Clark, KB7QHC My comments are totally unrelated to elevated ground planes. I'm only trying to prove to Jim that wave interference DOES cause energy to shift direction without any aid of a physical entity. The only cause of the change in direction of energy radiated from an array of dipoles is wave interference, the interference between the waves emanting from the different dipoles. Walt, W2DU |
Richard Clark wrote: On Tue, 09 Aug 2005 17:11:41 -0700, Jim Kelley wrote: There is no such thing in reality as a wave that delivers no energy. See Born and Wolf for examples. Hi Jim, This is intriguing for a wave (I presume you were adhering to the singular). For those who lack these references, do you have any concrete examples? 73's Richard Clark, KB7QHC Hi Richard, You may recall this came up before. The example I noted was in the instance of total internal reflection. Page 47, "Principles of Optics" Born and Wolf. When the angle of incidence with respect to the normal exceeds the critical angle "no light enters the second medium. All the incident light is reflected back into the first medium and we speak of total reflection. Nevertheless the electromagnetic field in the second medium does not disappear, only there is no longer a flow of energy across the boundary." They footnote that an elegant experimental demonstration is described by W. Culshaw and D. S. Jones Proc. Phys. Soc. B 1954. It's also arguable whether any energy is transferred from a source to a lossless, open circuited, 1/2 wave transmission line after the transient period. Though there's no uncertainty about the presence of electromagnetic waves on such a line in the steady state. 73, Jim AC6XG |
Walter Maxwell wrote: My comments are totally unrelated to elevated ground planes. I'm only trying to prove to Jim that wave interference DOES cause energy to shift direction without any aid of a physical entity. The only cause of the change in direction of energy radiated from an array of dipoles is wave interference, the interference between the waves emanting from the different dipoles. Walt, W2DU The radiation pattern of an antenna is the result of the superposition of fields either radiated or reflected from REAL surfaces. Energy from the radiating and reflecting elements travels only in directions where the resulting superposed fields are not zero. The resulting interference pattern is simply the plot in 3 dimensional space of where energy is being directed. 73, Jim AC6XG |
Jim Kelley wrote:
Except that D is not caused by, and cannot be caused by C. Only reflection can cause reflection. The claim that momentum reverses direction without encountering a physical reflector is a violation of conservation of momentum. You missed the point, Jim. The wave indeed does encounter a physical reflector and indeed cannot happen without the physical impedance discontinuity. It meets all of your requirements. -- 73, Cecil http://www.qsl.net/w5dxp ----== Posted via Newsfeeds.Com - Unlimited-Uncensored-Secure Usenet News==---- http://www.newsfeeds.com The #1 Newsgroup Service in the World! 100,000 Newsgroups ---= East/West-Coast Server Farms - Total Privacy via Encryption =--- |
Jim Kelley wrote:
Like I said, they cannot be created without energy. They can however exist without conveying energy from one place to another. Please give us your tricky-dicky definition of "convey", Jim. -- 73, Cecil http://www.qsl.net/w5dxp ----== Posted via Newsfeeds.Com - Unlimited-Uncensored-Secure Usenet News==---- http://www.newsfeeds.com The #1 Newsgroup Service in the World! 100,000 Newsgroups ---= East/West-Coast Server Farms - Total Privacy via Encryption =--- |
Jim Kelley wrote:
It's also arguable whether any energy is transferred from a source to a lossless, open circuited, 1/2 wave transmission line after the transient period. Use a signal generator with a circulator load as the source. Cause a noise glitch on the source signal. When will you see the glitch across the circulator resistor? One cycle later. Reckon where that glitch went during that one cycle? Man, that's a tough question. :-) -- 73, Cecil http://www.qsl.net/w5dxp ----== Posted via Newsfeeds.Com - Unlimited-Uncensored-Secure Usenet News==---- http://www.newsfeeds.com The #1 Newsgroup Service in the World! 100,000 Newsgroups ---= East/West-Coast Server Farms - Total Privacy via Encryption =--- |
On Tue, 09 Aug 2005 22:14:48 -0400, Walter Maxwell
wrote: We're not talking about nulls in bridges, we're talking about energy controlled in desired directions, reduced in some directions, with the energy lost in one direction adding to that in another; but you know this. Hi Walt, What is being discussed is energy. Energy is wholly transparent to application. The laws for its conservation don't care if you are shooting marbles or colliding stars. Physics eventually devolves to very few units of measure and the books balance on both sides of the event. in that direction and an increased amount of energy in the opposite, or forward direction, achieving gain in that direction? Linear systems do not exhibit "gain." The combination of forces are due to the total field in comparison to the region of interest. Well, Richard, there is no non-linearity in the formation of antenna radiation patterns. Are you saying there is no 'gain' when energy is taken from one direction and pushed into another? With respect to radiation patterns, 'gain' is relative, and not consideredas an increase in power. But you know that too. And we both know no energy is created or lost without an atom being ripped apart. The appeal to antenna "gain" is simply the choice of where your attention is focused. Energy is neither lost nor created, nor increased, nor decreased, the concomitant power that results of a load being exposed to several sources of energy has a resultant. That resultant expressed in the gain charts presumes there is a continuum of loads throughout the circle/sphere of the lobes being described. It is by similar simplifications that we have contributors here who offer that the radials of elevated ground planes do not radiate energy. Their contribution to producing a power at a remote load may cancel such that no power is evident, but this does not negate the radiation nor the energy present. 73's Richard Clark, KB7QHC My comments are totally unrelated to elevated ground planes. I'm only trying to prove to Jim that wave interference DOES cause energy to shift direction without any aid of a physical entity. The only cause of the change in direction of energy radiated from an array of dipoles is wave interference, the interference between the waves emanting from the different dipoles. Elevated ground planes, if they do not fit into the discussion, reveal that discussion cannot support their characteristics. This is expressly a failure of that discussion. Elevated ground planes radiate from the entire structure. What they radiate is energy. The net sum of those energies, at a distance, combined into a load, reveal that the contribution of the radials nullifies in horizontal polarity, and because the relative height (thickness) of the radials is so small in proportion to the main vertical element, make very little contribution to the vertical polarity. Yet and all, every radial element is blasting away in proportion to its current and radiation resistance. The radials are pouring energy into the Ęther with every effort as the main vertical element. Reduce this to the barest minimum of two radials and the results are identical, however, lop off to one radial element, and the energy balance upsets the apple cart and a horizontal component, formerly offset by equal opposing energies, appears. That last radial element had always been radiating energy, it is still radiating energy. Optics has been maligned through very poor examples here, but if two beams of light intersect we have wave interference ONLY if a load is present at that intersection. A load is a necessarily physical correlative. Otherwise, these energies have absolutely no interaction, barring a non-linear medium. It then follows that waves do not mix freely in and of themselves and hence they are not causative agents. This has been illustrated by The Extreme Failure of Poor Concepts in Discussing Thin Layer Reflections. 73's Richard Clark, KB7QHC |
On Tue, 09 Aug 2005 19:36:51 -0700, Jim Kelley
wrote: There is no such thing in reality as a wave that delivers no energy. You may recall this came up before. The example I noted was in the instance of total internal reflection. Page 47, "Principles of Optics" Born and Wolf. When the angle of incidence with respect to the normal exceeds the critical angle "no light enters the second medium. Hi Jim, OK, and in relation to: It's also arguable whether any energy is transferred from a source to a lossless, open circuited, 1/2 wave transmission line after the transient period. But: Though there's no uncertainty about the presence of electromagnetic waves on such a line in the steady state. is becoming strained language where so many struggle with English. Is this to imply there's uncertainty about the presence of light that is captured by total internal reflection? At the last census of total cancellation, if it didn't meet a certain percentage it became invisible. Something like an undocumented worker.... 73's Richard Clark, KB7QHC |
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