The Rolling Wave

 

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The Rolling Wave

 

Displacement Current and Light as Electromagnetic

History of Maxwell’s Equations

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Einstein teaches "The Rolling Wave".

Albert Einstein and Leopold Infeld, "The Evolution of Physics" , pub. CUP 1938, p154;

" .... What kind of changes are now spreading in the case of an electromagnetic wave? Just the changes of an electromagnetic field! Every change of an electric field produces a magnetic field; every change of this magnetic field produces an electric field; every change of ...., and so on. As field represents energy, all these changes spreading out in space, with a definite velocity, produce a wave. The electric and magnetic lines of force always lie, as deduced from the theory, on planes perpendicular to the direction of propagation. The wave produced is, therefore, transverse."

In contrast, Heaviside says, see above; “It carries all its properties with it unchanged,” which is a clear statement of the Heaviside signal.

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Arthur F. Kip, Professor of Physics, University of California, Berkeley..

Kip teaches "The Rolling Wave".

Arthur F. Kip, “Fundamentals of Electricity and Magnetism”, pub. McGraw-Hill, 1962, page 320; “Our demonstration involves the use of the first two Maxwell equations to show that such a postulated time and space variation of E gives rise to a similar time and space variation of H (but at right angles to E) and that this variation acts back to cause the postulated variation in E. Thus, once such a wave is initiated, it is self-propagating.
The figure on the next page is used to show the application of Faraday’s Law of Induction to the plane wave, postulated to be moving along the x direction. A convenient closed path is drawn in the xy plane, around which we shall take the line integral of E. This is equated through Faraday’s Law to the rate of change of flux H through the plane bounded by the path of the line integral. Only the vertical parts of the line integral contribute since E is in the y direction …. “. For diagrams, go here and
here..

I quote; " .... time and space variation of H .... this variation acts back to cause the postulated variation in E. .... " Note that as with everyone else in every single text book during the 20th century, Kip does not comment on the relative phase of E and H. However, "acts back" seems to imply that he has noticed the problem, that E and H are in phase, so that it is difficult to see each causing the other. Of course, further problems arise if the TEM Wave is not sinusoidal. For instance, half way through a long TEM pulse, there is no variation of E or of H, and yet the central part of the pulse continues to travel at the speed of light. So how is "it is self-propagating"? Since Kip ignores (probably because he has never heard of) the TEM pulse, it is not surprising that he ignores the less fundamental problem caused to his theory by the fact that E and H are in phase in a sine wave. The fact is that he takes the traditional story of Faraday's Law of Induction and force-fits it onto a TEM Wave withouth too much thought. What he does is similar to what I did in my December 1967 IEEE paper and here many years before and after I discovered the truth.- I Catt, 22 July 2009.

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Analysis.

In "The Rolling Wave", change of electric field produces a magnetic field. Change of magnetic field produces an electric field. So long as we ignore the relative phases of E and H, well and good. (See "Mathverse" ) . However, this applies to monochromatic light only. If we deliver light of mixed frequency, for instance white light, then at the same moment and point in space when an increasing electric cifle must be producing a positive magnetic field, a decreasing electric field as part of another light frequency must be producing a negative magnetic field. That is, assuming causality, or in Einstein's word "produces", superposition does not work.

This has never before been pointed out.

"The Rolling Wave" is now seen to be extremely shoddy, failing over relative phase of E and H, see "Mathverse" , and also failing to meet the requirements of white light.

Although for ten years there were many letters published in "Wireless World" discussing our other articles, there was not a single leter discussing my July 1979 article "The Heaviside Signal". . There has of course been no discussion elsewhere than in Wireless World during the intervening thirty years..

Ivor Catt 11 July 2009

The Relative Phase of E and H. http://www.ivorcatt.co.uk/951.htm ; http://www.ivorcatt.co.uk/934.htm ; "Wireless World", Feb84, on Dalton ; "When in a hole, stop digging."