Visualization Radiation Pattern of a N - rit.eduw-eta/docs/Linear Array.pdf · Visualization...

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Page 1: Visualization Radiation Pattern of a N - rit.eduw-eta/docs/Linear Array.pdf · Visualization Radiation Pattern of a N-element Uniform Array a) ... polar (theta,AF); title ... ('Polarization

Visualization Radiation Pattern of a N-element Uniform Array

a) N = 10, d = λ/4, β=0

% Antenna Synthesis % Uniform Linear Array function uniformlineararray(d,beta,N) % d = distance (* wavelength) % beta = phase difference % N = number of elements len = 100; theta = linspace(0,2*pi,len); psy = 2.*pi.*d.*cos(theta)+beta; AF = 1/N.*sin(N/2.*psy)./sin(1/2.*psy); % Polar Plot figure(1) polar(theta,AF); title('Polarization Factor Vs theta'); % 2D-Rectangular Plot figure(2) plot(theta,AF); grid on; title('Polarization Factor Vs theta'); xlabel('Theta'); ylabel('Array Factor'); phi = linspace(0,2*pi,len); % 3D-Plot [T,P] = meshgrid(theta,phi); PSY = 2.*pi.*d.*cos(T)+beta; R = 1/N.*sin(N/2.*PSY)./sin(1/2.*PSY); %Convert Spherical to Cartesian coordinates [X,Y,Z] = sph2cart(T,P,R); figure(3) surf(X,Y,Z); title('Visualization Array Factor 3D');

Page 2: Visualization Radiation Pattern of a N - rit.eduw-eta/docs/Linear Array.pdf · Visualization Radiation Pattern of a N-element Uniform Array a) ... polar (theta,AF); title ... ('Polarization

b) N = 10, d = λ/4, β=π/4