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#11
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Roy:
[snip] "Roy Lewallen" wrote in message ... Thanks for the most interesting discussion of slinkys, "ether", and seismology. But I'm a little vague on what you mean by "vibrations". You're describing a field whose orientation isn't necessarily at a right angle (transverse) to the direction of propagation (as in a TE or TM mode wave), yet whose "vibrations" are nevertheless at a right angle to the direction of propagation. So the "vibrations" are in a different direction than the field. I'd like to learn more about this phenomenon, but I can't find "vibrations" in the indexes of any of my electromagnetics texts. Do they have another name? Roy Lewallen, W7EL [snip] Vibrations = oscillations An instance where compressional-dilative waves might occur in electromagnetic propagation and where those compressional vibrations terms could be added to the Maxwell-Heaviside equations might be that of electromagnetic propagation through "light ion" plasmas [ionized gases] where the ions could physically respond essentially instantaeously to the passing waves and the distance between ions and hence the media properties becomes a function of the electromagnetic fields. The effective mu and epsilon of the media changing instantaneously in response to the propagating fields, in turn changing the waves, etc... just as for compression acoustic wave propagating in a compressible gas. This effect is probably infinitesimal for "heavy ion" plasmas and might be perceptable for "light ion" plasmas. I wonder if any readers of this NG have any experience with propagation in plasmas and can share with us if they use compression-dilutive terms to augment the Maxwell-Heaviside equations in the analysis. I presume that the NEC code that you use in EZNEC to integrate the Maxwellian equations does not support plasma propagation analysis. Perhaps someone knows of a version of NEC that does. I'd guess that folks at Lawrence Livermore and at NASA are interested in such problems. I'd be curious to know if they use augmented versions of Maxwell-Heaviside equations. Another, arcane, far fetched, and impractical example of compressional-dillutive vibrations in em waves that I can think of could be imagined as a system wherein em waves travel in a waveguide system where the dimensions of the system [walls of the waveguide] are such that they can move in and out instantaneously in response to the passing waves thus alternately confining and expanding the dimensions of the guide relative to the wavelength of the passing waves, it might be imagined that such action could induce a wave shortening and lengthening effect on the passing waves which is what compression-dillution waves are. Thoughts, comments? -- Peter K1PO Indialantic By-the-Sea, FL. |
#12
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Tom:
[snip] Yes, "vibes." I think Peter is regressing back to the '60's. 73, Tom Donaly, KA6RUH [snip] Hmmm.... I remember Angela fondly, and how we used to dance to "I just wanna hold your hand..." Now just where did I put those old Beatles albums? -- Peter K1PO Indialantic By-the-Sea, FL |
#13
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Peter O. Brackett wrote:
Say did you order your copy of "Entanglement" yet? I'm going to take a look at it first at the Texas A&M library hopefully next week. What is Cecil's wavelength and can I get on it? Want me to grid dip myself? -- 73, Cecil http://www.qsl.net/w5dxp -----= Posted via Newsfeeds.Com, Uncensored Usenet News =----- http://www.newsfeeds.com - The #1 Newsgroup Service in the World! -----== Over 100,000 Newsgroups - 19 Different Servers! =----- |
#14
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Thanks for the rundown on "light ion" plasmas, plasma propagation, and
moving-wall waveguides. I only have one remaining question. Do the "vibrations" of electromagnetic waves you referred to in your previous post have another name? Roy Lewallen, W7EL Peter O. Brackett wrote: Roy: [snip] "Roy Lewallen" wrote in message ... Thanks for the most interesting discussion of slinkys, "ether", and seismology. But I'm a little vague on what you mean by "vibrations". You're describing a field whose orientation isn't necessarily at a right angle (transverse) to the direction of propagation (as in a TE or TM mode wave), yet whose "vibrations" are nevertheless at a right angle to the direction of propagation. So the "vibrations" are in a different direction than the field. I'd like to learn more about this phenomenon, but I can't find "vibrations" in the indexes of any of my electromagnetics texts. Do they have another name? Roy Lewallen, W7EL [snip] Vibrations = oscillations An instance where compressional-dilative waves might occur in electromagnetic propagation and where those compressional vibrations terms could be added to the Maxwell-Heaviside equations might be that of electromagnetic propagation through "light ion" plasmas [ionized gases] where the ions could physically respond essentially instantaeously to the passing waves and the distance between ions and hence the media properties becomes a function of the electromagnetic fields. The effective mu and epsilon of the media changing instantaneously in response to the propagating fields, in turn changing the waves, etc... just as for compression acoustic wave propagating in a compressible gas. This effect is probably infinitesimal for "heavy ion" plasmas and might be perceptable for "light ion" plasmas. I wonder if any readers of this NG have any experience with propagation in plasmas and can share with us if they use compression-dilutive terms to augment the Maxwell-Heaviside equations in the analysis. I presume that the NEC code that you use in EZNEC to integrate the Maxwellian equations does not support plasma propagation analysis. Perhaps someone knows of a version of NEC that does. I'd guess that folks at Lawrence Livermore and at NASA are interested in such problems. I'd be curious to know if they use augmented versions of Maxwell-Heaviside equations. Another, arcane, far fetched, and impractical example of compressional-dillutive vibrations in em waves that I can think of could be imagined as a system wherein em waves travel in a waveguide system where the dimensions of the system [walls of the waveguide] are such that they can move in and out instantaneously in response to the passing waves thus alternately confining and expanding the dimensions of the guide relative to the wavelength of the passing waves, it might be imagined that such action could induce a wave shortening and lengthening effect on the passing waves which is what compression-dillution waves are. Thoughts, comments? -- Peter K1PO Indialantic By-the-Sea, FL. |
#15
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Roy:
[snip] Do the "vibrations" of electromagnetic waves you referred to in your previous post have another name? Roy Lewallen, W7EL [snip] Oscillations perhpaps? I don't really understand your question... do you object to the term "vibrations"? What would you prefer, oscillations, or... It is well known by Physicists that lectromagnetic waves [at least in free space and isotropic media] are generally consist of only transverse vibrations,. this type of vibration is inherent in the formulation and solutions to the Maxwell-Heaviside equations. For examples of longitudinal or compressive vibratons for instance in a taught wire like a guitar string, transverse vibrations or oscillations are side to side, but longitudinal or compressional vibrations would be the very tiny vibrations in the length of the guitar string. In systems where longitudinal vibrations are supported, generally the velocity of propagation of longitudinal vibrations will not be the same as that of transverse vibrations. For a detailed explantation of compressional-dilutive or longitudinal waves in a variety of physical systems, cfr: William C. Elmore, and Mark A. Heald, "Physics of Waves", McGraw-Hill, New York, 1969. -- Peter K1PO Indialantic By-the-Sea, FL. |
#16
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No, I'm just trying to figure out how an EM wave can have E and/or H
fields whose directions aren't transverse to the direction of propagation (as in a lossy medium or in a hollow waveguide) can have another property of "vibrations" or "oscillations" that *are* always transverse. The properties of E and H fields that I'm familiar with include orientation of the field in space, and change in amplitude with time (which is what I'd normally call oscillations). And, of course, the orientation can change in time also, as in elliptically or circularly polarized waves. The property of "vibrations" or "oscillations" that have a direction different from the direction of the field is new to me. I notice that you're now qualifying your statement to free space and isotropic media. Does this perhaps leave open the possibility that waves in a lossy medium, or bounded within a hollow waveguide, could have "vibrations" that *aren't* transverse to the direction of propagation? My original question was in response to your statement that EM waves were always transverse, regardless of the medium. Do you perhaps have Krus' _Electromagnetics_, or electromagnetics texts by Holt, Johnk, Skilling, Magid, Magnusson, or Jordan & Balmain? If so, perhaps you could direct me to a section which addresses this. Roy Lewallen, W7EL Peter O. Brackett wrote: Roy: [snip] Do the "vibrations" of electromagnetic waves you referred to in your previous post have another name? Roy Lewallen, W7EL [snip] Oscillations perhpaps? I don't really understand your question... do you object to the term "vibrations"? What would you prefer, oscillations, or... It is well known by Physicists that lectromagnetic waves [at least in free space and isotropic media] are generally consist of only transverse vibrations,. this type of vibration is inherent in the formulation and solutions to the Maxwell-Heaviside equations. For examples of longitudinal or compressive vibratons for instance in a taught wire like a guitar string, transverse vibrations or oscillations are side to side, but longitudinal or compressional vibrations would be the very tiny vibrations in the length of the guitar string. In systems where longitudinal vibrations are supported, generally the velocity of propagation of longitudinal vibrations will not be the same as that of transverse vibrations. For a detailed explantation of compressional-dilutive or longitudinal waves in a variety of physical systems, cfr: William C. Elmore, and Mark A. Heald, "Physics of Waves", McGraw-Hill, New York, 1969. -- Peter K1PO Indialantic By-the-Sea, FL. |
#17
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Roy:
[snip] "Roy Lewallen" wrote in message ... The property of "vibrations" or "oscillations" that have a direction different from the direction of the field is new to me. [snip] That's fine, there are lots of things new to me as well. :-) These are called longitudinal or compressive-dilutive waves. Such vibrations do not [usually] occur with electromagnetic fields, and in the early days of em theory scientists did wonder if such were possible, as I have noted in prior postings. However there are numerous physical systems described by wave equations which do support both transverse and longitudinal vibrations of the constituient fields. I gave several examples in prior postings and you will find lots of such examples in "Physics of Waves". [snip] I notice that you're now qualifying your statement to free space and isotropic media. Does this perhaps leave open the possibility that waves in a lossy medium, or bounded within a hollow waveguide, could have "vibrations" that *aren't* transverse to the direction of propagation? [snip] The point is not that the waves have "vibrations" that are transverse to the direction of propagation. Of course, guided em waves have vibrations which are not perfectly perpendicular to the direction of propagation. The TEM mode would not exist and TEM waves would not propagate if there were not some potential driving the waves forward, meaning that both the E and H fields have some tiny component in the direction of propagation. All of this to establish that I do understand em wave propagation, and to say that... this has nothing whatsoever to do with longitudinal or compressive-dilutive vibrations. The fact that E and H fields "lean" slightly in the direction of propagation in a wave guide is not a compressive-dillutive effect on the fields. For longitudinal field vibrations to occur the wavelength of the propagating fields has to change as it propagates. This does not occur in "normal" em propagation. I conjecture that there may however be some exceptions to this, e.g. plasmas, etc... I just am not aware of them. Perhaps some other newsgroup reader/poster is more familiar with any possible longitudinal vibrations of em waves. [snip] My original question was in response to your statement that EM waves were always transverse, regardless of the medium. [snip] Roy, I believe that you may be reading too much into the word "transverse", it can be used in several contexts. Tansverse vibrations are not compressive vibrations. With compressive vibrations, the wavelength of the waves actually changess it propagates. While in transverse vibrations no such wavelength changes occur. In this usage the word "transverse" does not refer to directionality with respect to direction of propagation, but rather to the fact that the waves maintain their wavelegth during propagation. As a "real" example, some seismic waves [the so called "S-Waves" in the earth actually change their wavelength as they propagate.. [snip] Do you perhaps have Krus' _Electromagnetics_, or electromagnetics texts by Holt, Johnk, Skilling, Magid, Magnusson, or Jordan & Balmain? If so, perhaps you could direct me to a section which addresses this. [snip] Roy, yes indeed I have two editions of "Kraus" and I took a course from Keith Balmain using his first edition text when I was at U of T. And... I can tell you here and now that neither of those two august gentlemen address the issue of longitudinal vibrations anywhere in their texbooks! Simply because, as I have stated in other postings, Maxwell-Heaviside equations do not support longitudinal vibrations, and so why would a text on em waves even discuss such vibrations? The fact that Kraus and Balmain do not discuss such things does not surprise me, nor should it you, since electromagnetic wave propagation and the Maxwell-Heaviside equations are a particularly simple example of wave motion. Roy if you wish to deeply understand wave equations and wave motions and to understand the wider ramifications of wave motion, you just gotta read more widely in the "Waves" literature. Kraus and Balmain are very narrow in scope, being confined strictly to em waves! If they had attempted to include any "early" history of em research from around the middle of the 1800's then they would have outlined some of the early speculations by contemporaries of Maxwell, such as Kelvin, Heaviside and others as to the possibility that Maxwell might have left longitudinal terms that might have proved significant, of course they were found never to be needed. However even back in those times most Natural Philosophers [They were'nt called Physicists in those days] and Electricians like Heaviside were more widely schooled than today's Engineers and they knew and studied wave equations in their full glory... longitudinal vibrations included. These days however our electrical engineering education is far too narrrow and does not expose folks to the wider view of the world. Thus we often find em wave mechanics who don't understand longitudinal waves. Until I became involved in underwater acoustics and seismic propagation problems and saw the wave equations in their full glory, I too had a narrow view of wave mechanics. I don't know if Kraus or Balmain ever encountered the "full" wave equations, but in any case their texts are directed at em specialists and so their narrow view is not surprising. As I posted before, if you are interested in such things, check out: Elmore and Heald, "Physics of Waves" and say, Kennett's, "The Seismic Wavefield" among others to help you to broaden your horizons on these issues of longitudinal waves. -- Peter K1PO Indialantic By-the-Sea, FL. |
#18
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Dear Professor David or Jo Anne Ryeburn,
Finally, I accomplished the study of this most interesting article... But, with your permission, I can not resist to notice that the key-point of the surprising, at least to me, introduction of an ellipse at step (3), it looks somehow artificial and in some way opposite to the intentions of the introduction: | ... | don't believe in using calculus | whenever simple geometry and/or algebra | makes it unnecessary. | A proof that avoids calculus can be meaningful for | those who don't know calculus, | or who haven't used it for a while | ... In all other respects and as far as I could say something more, then it is, at least for me, a perfect argument, indeed! Sincerely yours, pez SV7BAX TheDAG |
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