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+// example:-8.8,page no.-428.

+// design a three section 20 db coupler with a binomial response.

+Zo=50;f=3*10^9;N=3;

+syms C C1 C2 theta;

+C=10^(-20/20);

+disp("for a maximally flat response for a three=section coupler doupble derivative of C will be zero.")

+C1=0.0125;C2=0.125;C3=0.0125;

+Zoe1=Zo*sqrt((1+C1)/(1-C1));

+Zoe3=Zo*sqrt((1+C3)/(1-C3));

+Zoo1=Zo*sqrt((1-C1)/(1+C1));

+Zoo3=Zo*sqrt((1-C1)/(1+C1));

+Zoe2=Zo*sqrt((1+C2)/(1-C2));

+Zoo2=Zo*sqrt((1+C2)/(1-C2));

+disp("the even and odd mode characteristic impedences for each section are = ")

+disp(Zoe1,'Zoe1 = ')

+disp(Zoo1,'Zoo1 = ')

+disp(Zoe2,'Zoe2 = ')

+disp(Zoo2,'Zoo2 = ')

+disp(Zoe3,'Zoe3 = ')

+disp(Zoo3,'Zoo3 = ')
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