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+// example:-2.4,page no.-34.

+// program to show that a circularly polarized plane wave can be decomposed in to RHCP and LHCP.

+A=sym('A');

+B=sym('B');

+Eo=sym('Eo');

+x=sym('x');

+y=sym('y');

+Ko=sym('Ko');

+z=sym('z');

+E=Eo*(x+2*y)*exp(-%i*Ko*z);   // given

+// can be written as:=>E=A*(x-y)*exp(-%i*Ko*z)+B*(x+y)*exp(-%i*Ko*z),so

+p=[1 1;-%i/2 %i/2];

+q=[A;B];

+r=[1;1];

+p*q==Eo*r;

+q=inv(p)*Eo*r;

+//result

+disp('value of A and B will be=')

+disp(q)

+disp(q(1,1)*(x-y)*exp(-%i*Ko*z)+q(2,1)*(x+y)*exp(-%i*Ko*z),'E=')

+//conclusion:-any linearly polarized wave can be decomposed in to two circularly polarized waves.
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