Circular polarization in rectangular waveguide

AI Thread Summary
In a rectangular waveguide with b = a/2, the discussion focuses on identifying conditions for circular polarization in the TE10 mode. The magnetic field components are defined, with Hz, Ey, and Hx known, while Ex, Ez, and Hy are zero. For circular polarization, the phase difference between Hz and Hx must be π/2, leading to the equation π/2 = tan-1(Hz/Hx). There is uncertainty regarding the phase relationship due to the 'j' factor in Hx. Assistance is requested to clarify the conditions for achieving circular polarization in this context.
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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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