Question: A perfectly conducting waveguide has a cross section in the shape of a semicircle with radius R . [ 1 5 pts . ] (

A perfectly conducting waveguide has a cross section in the shape of a semicircle with radius R.[15 pts.]
(a) First, find the longitudinal Ez and Bz components, separately for TE modes and TM modes
assuming that the shape of the cross section is a full circle.
(b) Find Ez and Bz for the semicircular cross section for TE and TM modes, separately. Find the cut-off frequency for these modes

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