A rectangular waveguide

Solve with details and explanations as much as possible.

A rectangular waveguide has the dimension a = 5.33 cm and width b = 2 cm, and is filled with air.
(1) What is the phase constant ß, guided wavelength ?g, the phase velocity ?p, and group velocity ?g for the dominant mode at 1 GHz above the cutoff frequency fc. TE10 Dominant mode
(2) Draw the Hx and Hz field distribution in the waveguide cross-section for the TE11 mode. Draw the Ex and Ez field distribution in the waveguide cross-section for the TM11 mode.

Sample Solution