Circular polarization in rectangular waveguide

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SUMMARY

The discussion focuses on determining the conditions for circular polarization in a rectangular waveguide operating in the TE10 mode, specifically when the width b equals half the height a (b = a/2). The key equations referenced are from Pozar's textbook on rectangular waveguides, emphasizing that for circular polarization, the magnetic field components Hz and Hx must be π/2 out of phase. The participant is seeking clarification on the phase relationship required for achieving circular polarization in this mode.

PREREQUISITES
  • Understanding of TE10 mode in rectangular waveguides
  • Familiarity with waveguide equations from Pozar's book
  • Knowledge of circular polarization principles
  • Basic concepts of electromagnetic field components
NEXT STEPS
  • Study the derivation of TE10 mode equations in rectangular waveguides
  • Learn about the conditions for circular polarization in electromagnetic fields
  • Explore the impact of phase relationships on waveguide modes
  • Review advanced topics in waveguide theory from Pozar's textbook
USEFUL FOR

Electrical engineers, physicists, and students studying waveguide theory, particularly those interested in electromagnetic wave propagation and polarization techniques.

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Homework Statement


In a rectangular waveguide, b = a/2, find the section, if exists, in which the magnetic field is circularly polarized (TE10 mode).

Homework Equations


Rectangular waveguide equations for TE10 mode (referencing Pozar book).
Circular polarization (π/2 out of phase and same amplitude).

The Attempt at a Solution


For TE10 mode: Hz, Ey and Hx are known, Ex = Ez = Hy = 0.
For the magnetic field to be circularly polarized Hz and Hx must be π/2 out of phase so π/2 = tan-1(Hz/Hx), but I'm not sure about this since Hx is already multiplied by 'j'.

Someone might help, please?
 
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