from more than a century now it is believed that TEM waves (transverse electromagnetic waves) don't exist in single conductor wave guides like the rectangular or circular wave guides
Hi Pragnan, I think this believe will remain so because otherwise on the inner surface of the wave guide there would be places where the E component would be 1) parallel to the wall of the electrically conducting wave guide, and 2) infinitely near the surface. That would be possible only with poor conducting wave guides = highly dissipative.
Do you think there is an alternative?
Hi, I think TEM should exist because in one of my articles I have shown that TE and TM are combinations of TEM. Please read it and give me your valued comments.
http://www.tandfonline.com/doi/pdf/10.1080/09747338.2014.1002819
Dear Mr. Chakravorty, first of all, sorry, my argument in my first answer is incorrect; I limited the possibilities to homogeneous waves. The correct argument is: A TEM wave inside a single conductor wave guide (SCWG) would imply div B 0.
On your article: I like your way of derivation; I'll have to reread one of your references for a comparison. However in my opinion, to state that TEM waves exist inside SCWGs because you introduced them successfully in order to model the transversal power flow doesn't take into account the definition of TEM waves: No E or M components in the direction of propagation. Here, "direction of propagation" certainly denotes the overall propagation of the wave. On an equal footing you could state that there are inhomogeneous plane waves without any boundary because you can represent a beam by its plane wave spectrum, including inhomogeneous waves, and a beam can exist without boundary.
Thanks for liking my derivations; the overall propagation constitutes a group movement which you may call as movement of inhomogeneous waves, i.e. TE or TM. But homogeneous waves should always be TEM. The article did take the definition of TEM waves, it additionally states that if TEM waves moving in three orthogonal directions are combined they loose their TEM characteristics and make TE or TM. The boundary conditions are enforced in which k changes to kc.
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