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Wave Guides and the Special Theory of Relativity

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1 Author(s)
Hershberger, W.D. ; RCA Laboratories, Princeton, New Jersey

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The Lorentz transformation is applied to the H01 solution of Maxwell's equations used to describe wave propagation in conducting pipes of rectangular cross section. When group velocity for the wave is employed in the transformation, the solution obtained is that one characterizing wave‐guide operation at cut‐off frequency, thus demonstrating that the speed associated with power or signal transmission is group velocity. When phase velocity for the wave is employed in the transformation, and we treat all quantities appearing in the new solution as real, we find that the problem has been reduced to one in magnetostatics and the significance of this solution is pointed out. The use of the inverse Lorentz transformation to find wave guide solutions from known solutions of problems in statics is indicated.

Published in:

Journal of Applied Physics  (Volume:16 ,  Issue: 8 )