A thought on waveguides(TEM mode)

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Discussion Overview

The discussion revolves around the propagation of TE (Transverse Electric) waves in waveguides, particularly addressing the physical reasoning behind the inability of a uniform plane TE wave to propagate straight through a waveguide without reflections. Participants explore the distinctions between TE and TEM (Transverse Electromagnetic) modes and their respective requirements for propagation.

Discussion Character

  • Technical explanation
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant questions why a uniform plane TE wave cannot propagate straight through a waveguide, suggesting that the amplitude of the electric and magnetic fields approaches zero at the waveguide walls.
  • Another participant states that TE mode waves will propagate unless they are beyond cutoff and introduces the idea of visualizing propagation as a superposition of two plane waves zigzagging down the guide.
  • A different participant explains that any waveguide mode can be described as an infinite sum of monochromatic, uniform plane waves at different angles, relating this to the angular spectrum and Fourier transform.
  • One participant clarifies that while TE modes propagate, a straight-through TE wave is essentially a TEM wave, which does not exist in standard waveguides without a center conductor.
  • There is a reiteration that TE and TM waves do propagate down the guide, and a distinction is made that TEM modes require a coaxial structure to exist.

Areas of Agreement / Disagreement

Participants generally agree that TE and TM modes can propagate in waveguides, but there is disagreement regarding the existence of TEM modes in this context and the implications of a straight-through TE wave.

Contextual Notes

There are unresolved aspects regarding the definitions and conditions under which different wave modes can propagate, particularly the distinction between TE and TEM modes and the implications of uniform plane waves in waveguides.

vig
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I have been wondering about the physical reason why a TE wave that goes STRAIGHT through the waveguide(without any reflections) can't propagate and would like some one to clarify the same
OK..so if i consider a UNIFORM PLANE TE WAVE that goes straight thorough, then by definition of uniform plane wave, the amplitudes across the wavefront must be constant. But, as the wavefront approaches the plates, the amplitude of the E and H field both go down to zero. Thus, the only solution being that the amplitude of E (and H) are uniformly zero.

However, for a wave that is oblique to the surface, the wave STRIKES the walls of the metallic plates, implying that a REFLECTED field is generated to make the resultant field on the conductor is zero, implying that the wavefront of the OBLIQUE wave CAN have equal amplitude throughout..

It would be great if someone clarifies this understanding!
Thank you!
P.S: I have gone through the mathematical derivations, but just tried to explain it physically with my limited knowledge...
 
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A TE mode wave will propagate down a waveguide, unless it is beyond cutoff. There is a way of visualizing a propagating wave as a superposition of two plane waves that zigzag down the guide. Is this construction that you are looking at?
 
Last edited:
You can describe any waveguide mode as an infinite sum of monochromatic, uniform plane waves propagating at different angles via the principle of superposition.

The "angular spectrum" (plane wave amplitude vs propagation angle) is related to the amplitude distribution of the waveguide mode via a Fourier transform.

Does that clarify things?

Claude.
 
marcusl said:
A TE mode wave will propagate down a waveguide, unless it is beyond cutoff. There is a way of visualizing a propagating wave as a superposition of two plane waves that zigzag down the guide. Is this construction that you are looking at?

Thanks for the reply..I know TE modes propagate..What I meant was a TE wave that goes STRAIGHT through...so it essentially is a TEM wave with Electric field being transverse to the direction of propagation...
 
First of all, TE and TM waves do propagate down the guide. I assume that's what you mean by "straight through"--after all, there's no other way down a waveguide than straight. Second, TEM modes do not exist in a waveguide. They require a center conductor such as in coax cable.
 

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