Polar Plotting Aperture Antennas in E and H plane

I want to plot these equations on polar plot, I tried it many times but couldn't do. Can someone help me to plot them and I can learn it by looking the code, image file of equations on image file; very very thanks.

in E plane (phi=pi/2)

Er=Ephi=0

Etheta= [(j*a*b*k*Eo*exp(-jkr)) / (2*pi*r)] * [(sin(((k*b)/2)*sin(theta) / ((k*b)/2)*sin(theta)]

in H plane (phi=0)

Er=Etheta=0

Ephi= [(j*a*b*k*Eo*exp(-jkr)) / (2*pi*r)] * {cos(theta)*[(sin(((k*b)/2)*sin(theta) / ((k*b)/2)*sin(theta)]}

Answer 1

[sixwwwwww]

Dear Atarli, here is the code for your equations if I understood correctly:

theta = 0.01:0.01:2 * pi;
a = 1;
b = 1;
k = 1;
Eo = 1;
r = 1;
prefactor = (1j * a * b * Eo * exp(-1j * k * r)) / (2 * pi * r);
E_theta = prefactor * ((sin(k * b * sin(theta) / 2)) ./ (k * b * sin(theta) / 2));
figure, polar(theta, abs(E_theta))
figure, polar(theta, angle(E_theta))
E_phi = prefactor * cos((sin(k * a * sin(theta) / 2)) ./ (k * a * sin(theta) / 2));
figure, polar(theta, abs(E_phi))
figure, polar(theta, angle(E_phi))

I hope it helps. Good luck!

[atarli]

thanks for your answer, it helps good to me:)

[sixwwwwww]

If you like the answer then accept it and help others in finding the solution if they have similar question as well and good luck!

[Munirah Yusof]

hi all. I want to ask. This code are only for E-plane?

[mohamed moumou]

thank you very match.