Question regarding introductory electrmagneticswaveguides Th

Question regarding introductory electrmagnetics/waveguides

The magnetic field of a particular mode in a parallel-plate air waveguide with a plate separation of 2.5 cm is given by H(x, y) = C_1 Exp[-j 640 pi/3 x] Cos [160 pi y]z where x and y are both in meters. Classify the mode. Is it a propagating or a non-propagating mode? What is the operating frequency? Find the corresponding electric field. Find the lowest-order similar mode (TE_m or TM_m) that does not propagate this waveguide at the same frequency.

Solution

(a) propagating mode

(b) 2*pia * f =160 * pia

       f= 80 Hz