How are modes classified in rectangular waveguides?

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SUMMARY

Modes in rectangular waveguides are classified using the notation TEmn, where 'm' represents the number of half-wavelengths across the width and 'n' represents the number of half-wavelengths across the height. The specific modes TE10, TE20, and TE11 indicate different configurations of electromagnetic wave propagation within the waveguide. The classification is determined by the dimensions of the waveguide and the behavior of electric (E) and magnetic (H) fields, which are zero at the boundaries due to the nature of wave propagation and boundary conditions.

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  • Understanding of electromagnetic wave propagation
  • Familiarity with waveguide theory
  • Knowledge of boundary conditions in electromagnetic fields
  • Basic concepts of TE (Transverse Electric) and TM (Transverse Magnetic) modes
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  • Explore the impact of waveguide dimensions on mode classification
  • Learn about the skin effect and its implications in waveguides
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Electrical engineers, physicists, and students studying waveguide theory or electromagnetic field theory will benefit from this discussion.

Roodles01
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Homework Statement


How do I classify modes? If there is a rectangular waveguide how can I show it is operating in TE10, TE20 or TE11 mode.


Homework Equations


Could someone help clarify how the 10, 11 or 20 comes about?
Is it due to the dimensions of the guide or something else?
 
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OK Wikipedia has helped.
Could someone confirm this please?

"In rectangular waveguides, rectangular mode numbers are designated by two suffix numbers attached to the mode type, such as TEmn, where m is the number of half-wavelengths across the width of the waveguide and n is the number of half-wavelengths across the height of the waveguide."

Also realized that the EM waves travel within the cavity, through the dielectric (air) & losses (attenuation) are through interaction with the wall & from skin effects.
Generally at the boundary the electric & magnetic fields are zero.

I'm not quite sure as to why the E & H fields should be zero though, except that when there is no E field, then H will also be zero.
 
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