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+//Caption:Calculate (i)-possible modes,(ii)-cut-off frequencies,(iii)-guide wavelength

+//Exa:4.9

+clc;

+clear;

+close;

+//For TE mode:

+a=2.5;//in cm

+b=1;//in cm

+f=8.6*10^9;//in Hz

+c=3*10^10;//in cm/s

+wl_o=c/f;

+wl_c_1=2*b;//for TE01

+wl_c_2=2*a;//for TE10

+disp( 'Only TE10 mode is possible');

+f_c=c/wl_c_2;

+wl_c_3=2*a*b/sqrt(a^2+b^2);//for TE11 & TM11

+wl_g_TE10=wl_o/(sqrt(1-(wl_o/wl_c_2)^2));//for TE10

+disp(f_c,'Cut-off frequency(in Hz) =');

+disp(wl_g_TE10,'Guide wavelength for TE10 (in cm) =');

+//For TM mode:

+disp('TM11 also propagates');

+wl_c_TM11=wl_c_3;

+wl_g_TM11=wl_o/(sqrt(1-(wl_o/wl_c_2)^2));//for TM11

+disp(wl_g_TM11,'Guide wavelength for TM11 (in cm) =');