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I have two questions on the same subject.
Is it possible to have a cavity designed as two concentric conducting cylinders which are separated by a dielectric medium support a standing wave? Assume one possible source of the standing wave comes from background noise.
Assuming the above is true, would the standing wave distort from being a sine wave to a fully rectified square wave if imposed upon by an external static magnetic field that lies parallel to the length of the concentric cylinders?
- Michael Maurice
Barre, Vermont, USA
#1 Yes, it's a well know problem in electricity and magnetism. The solutions are combinations of Bessel functions, rather messy things. The addition of a dielectric medium can be handled as well. Yes, they can be excited by background noise if it is properly coupled into the cavity.
#2 No, a static magnetic field has no effect on the solutions.
Answer #2 above assumes that the magnetic field has no effect on the dielectric properties of the medium. Usually that's a decent approximation./ Mike W.
(published on 10/22/2007)
Follow-up on this answer.