Why different cutoff frequencies for TE and TM in a medium?

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SUMMARY

The discussion centers on the differing cut-off frequencies for Transverse Electric (TE) and Transverse Magnetic (TM) waves in co-axial cables. It establishes that below the cut-off frequency, the propagation constant is imaginary, indicating oscillatory behavior, while above it, the propagation constant becomes real. The significance of these distinct cut-off frequencies lies in the differing phase and group velocities of the waves, which affects the effective length of the guide and can minimize multipath distortion when using a single mode guide.

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  • Understanding of electromagnetic wave propagation
  • Familiarity with TE and TM wave concepts
  • Knowledge of propagation constants and their implications
  • Basic principles of phase and group velocity
NEXT STEPS
  • Research the mathematical derivation of TE and TM wave cut-off frequencies
  • Explore the implications of phase and group velocity in waveguides
  • Study the design and applications of single mode guides in telecommunications
  • Investigate the effects of multipath distortion in signal transmission
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Students and professionals in electrical engineering, particularly those specializing in electromagnetics, wave propagation, and telecommunications engineering.

tworitdash
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Today in my electro-magnetics class, we were told that the cut-off frequencies of TE and TM waves on a co-axial cable are different. As far as I understand, it says that if there is an electric field with one frequency projected on it and if we know that the problem can be simplified if we see it as a combination of one TE and one TM wave, as the wave travels inside the medium, it is treated differently because of two different cut-off frequencies.

The cut-off frequency I am referring here is the frequency below which the propagation constant is imaginary and above which the propagation constant is real. Imaginary propagation constant shows oscillating behavior. What is the significance of two separate cut-off frequencies for TE and TM, because we can visualize one wave as a combination of both? When I asked this, I got a good response, but I didn't get it properly.

The response says that the properties of medium and waves are different and shouldn't be confused with one another. It comes down to the difference between phase and group velocities. What is the use case of two separate cut-off frequencies?
 
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tworitdash said:
What is the use case of two separate cut-off frequencies?
The effective length of a guide (hence the delay) will be different for each mode. If you can use a guide which supports only one mode at the frequency you are using, there is only one path through it so there will be no 'multiparth' distortion.
 
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