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+//Page Number: 93

+//Example 2.5

+clc;

+//Given,

+c=3D+8; //m/s

+a=3.0; //cm

+b=1.5; //cm

+mur=1;

+er=2.25;

+x=mur*er;

+

+//(i) Cutoff wavelength and frequencuy

+disp('TE10 mode');

+m1=1;

+n1=0;

+lamc10=2/sqrt((m1/a)^2+(n1/b)^2);

+disp('cm',lamc10,'Cut-off wavelength:');

+lamc10=lamc10/100;

+f10=c/(lamc10*sqrt(x));

+disp('Ghz',f10/1D+9,'Cutoff frequency:');

+

+disp('TE20 mode');

+m2=2;

+n2=0;

+lamc20=2/sqrt((m2/a)^2+(n2/b)^2);

+disp('cm',lamc20,'Cut-off wavelength:');

+lamc20=lamc20/100;

+f20=c/(lamc20*sqrt(x));

+disp('Ghz',f20/1D+9,'Cutoff frequency:');

+

+disp('TE11 mode');

+m3=1;

+n3=1;

+lamc11=2/sqrt((m3/a)^2+(n3/b)^2);

+disp('cm',lamc11,'Cut-off wavelength:');

+lamc11=lamc11/100;

+f11=c/(lamc11*sqrt(x));

+disp('Ghz',f11/1D+9,'Cutoff frequency:');

+

+//(ii) lambg and Z0

+f=4D+9; //Hz

+lam=c/f;

+lamg=lam/(sqrt(x-((lam/lamc10)^2)));

+disp('cm',lamg*100,'Guide wavelength:');

+

+fc=3.33D+9; //Hz

+Z0=(120*%pi*(1/sqrt(x))*(b/a))/sqrt(1-((fc/f)^2));

+disp('ohm',round(Z0),'Impedance:');