Understanding TE Mode in Waveguides: Effects of Linear Polarization

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Discussion Overview

The discussion focuses on the behavior of linearly polarized waves in transverse electric (TE) modes within waveguides, particularly concerning the effects of polarization and boundary conditions in perfect and good conductors. Participants explore the implications of wave entry and scattering in waveguides with specific orientations of electric and magnetic fields.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant notes that for a perfect conductor, the transverse electric field components must be zero at the boundary, raising questions about the behavior of linearly polarized waves entering the waveguide.
  • Another participant asserts that for a perfect conductor, the wave scatters and does not enter the waveguide, while for a good conductor, some of the wave may enter but is rapidly attenuated.
  • A question is posed regarding the feasibility of a linearly polarized plane wave entering the waveguide with both the Poynting vector and electric vector parallel to the waveguide, prompting considerations of wavelength and waveguide size.
  • A later reply clarifies that the Poynting vector can point in one direction while the electric vector points in another, suggesting that the orientation of the waveguide relative to these vectors is crucial to understanding wave behavior.

Areas of Agreement / Disagreement

Participants express differing views on the behavior of waves entering the waveguide, with some asserting that waves do not enter at all while others suggest that some energy may penetrate in the case of good conductors. The discussion remains unresolved regarding the specifics of wave entry and scattering.

Contextual Notes

Participants do not reach a consensus on the conditions under which linearly polarized waves can enter the waveguide, and there are unresolved questions regarding the impact of frequency and waveguide dimensions on this behavior.

radonballoon
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So we just went over waveguides in my class, in particular the TE and TEM modes (for a perfect conductor with two infinite planes for waveguides). I know that according to boundary conditions (assuming perfect conductor), the transverse electric field components must be zero at the boundary. This means that for a linearly polarized wave, the wave vector must be at an angle for TE mode. My question is: what exactly happens when a linearly polarized wave enters parallel to the waveguide with the electric field polarized parallel to the waveguide as well? Does the wave simply not enter the waveguide? Does the wave change direction? Thanks
 
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For a perfect conductor, the wave scatters and doesn't enter guide.
For a good conductor, some of the wave enters but is rapidly attenuated, and most of the wave is scattered.
 
How can a linearly polarized plane wave with the Poynting vector parallel to the waveguide enter the wavegiude and have its electric vector also parallel to the waveguide. What wavelength is it? What size waveguide?
 
thanks, that clears it up. I figured that's what would happen, but I wasn't sure.

To other poster: The poynting vector can be pointing in say the z direction and have the electric vector pointing in -x direction (magnetic field in -y direction). Then if the waveguide (two parallel planes) was in the x-z plane, they would both be parallel to it. I don't think frequency of the incoming wave matters much in what I'm asking either.
 

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