Undergrad Visualization of fields in waveguides

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E and H fields can exhibit longitudinal behavior in waveguides, particularly in transverse magnetic (TM) and transverse electric (TE) modes, which differ from the simpler transverse electromagnetic (TEM) mode. In TM and TE modes, the fields can maintain constant phase and amplitude along the propagation direction, similar to sound waves. This behavior can be visualized by considering the waveguide as a medium that constrains the electromagnetic fields, allowing them to propagate in a longitudinal manner. The Feynman Lectures on Physics provide valuable insights into these concepts, particularly in the chapter dedicated to waveguides. Understanding these principles is crucial for grasping the complex nature of electromagnetic wave propagation in confined structures.
Amartansh
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Visualization of fields in waveguides
Can someone provide me intuitive visualization of how E or H field can be longitudinal in a waveguide (TM/TE)? TEM is easy to visualize, but how EM wave can behave like sound in a waveguide (constant phase and amplitude plane in the same direction)?

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