Question

Deel 3 A waveguide Ral a square cross section one side 2a. For the TM modes of wave vector K, the transverse em modes are obtained in terms of a function 4(x,y) which obeys the equation: le et saya + Cho key] 406,4)=0 with the boundary condition (ta,y)=40%, ta) so The frequency w of the lowest mode is : as we calka + 4/67) by welcoh (K 4x2/9) es und = ( 2 ( Kit tal Lane do we = c² (K + 7 /use)

Answer 1

Solyn side aa for TM Mode Y = Asin murr sin muy Y = A sin (mors) sin(more) 1 2 3 4 5 +(c +23]* 20 the hun company) + 02 -p P = 0 lowest TM made many won ve (1+1)+c-KY DO W Wait24 33/04 wis offkly et