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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. |
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