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TE1 Mode of a Planar Waveguide
In a planar waveguide, the modes of propagation are simply the superposition of two uniform plane waves.  The time-varying field patterns that they produce can be quite complicated, however.  Below is an animation of the first Transverse Electric (TE1) mode in the waveguide.
Notes:
  • The dark arrows are E-fields and the faint arrows are H-fields.  Note that the E-fields are always perpendicular to the direction of propagation in the waveguide (towards the right) -- hence the name transverse electric.
  • The waveguide is built from two infinite parallel plates:  one at the top and one at the bottom.  Notice that the E-field is zero-valued on both top and bottom surfaces -- just as our boundary conditions dictate for a perfect electric conductor.

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