Till generation of near field for nine dipole antenna m able to implement. but for near filed to far field transform code, m not able to understand to take what value of 't' for now m taking "t as rand" but further plots and conversion are not happen

clc

lambda=0.1; %----------- scanning area definition ------------------------------------ velikostX = 20*lambda; % size of the scanning area velikostY = velikostX; Nx = (velikostX/lambda)*2+3; % samples at x axis x = linspace(-(velikostX/2), (velikostX/2), Nx); dx = abs(x(2)-x(1)); Ny = Nx; % samples at y axis y = linspace(-(velikostY/2), (velikostY/2), Ny); r0 = 2*lambda; % distance of scanning surface from the AUT

%------- testing antenna (AUT) definition (nine-dipole antenna) ---------- Nd = 9; % number of dipoles dd = lambda/2; % dipole spacing d = linspace((-(Nd-1)/2)*dd, ((Nd-1)/2)*dd, Nd); I = ones(1,Nd); % currents for dipoles (1 A) l = lambda/4; % dipole lenght Fd = j*(cos(k*l)*cos(theta)-cos(k*l))/(sin(theta)); % radiation function of symetric dipole

%----------- near-field samples computation ------------------------------- E = zeros(Nx,Ny); Ehelp = zeros(1,Nd); % help vector for m=1:Ny for n=1:Nx for i=1:Nd E(n,m) = E(n,m) + 60*(cos(k*l*(x(n)/sqrt(r0^2+(y(m)-d(i))^2+x(n)^2)))-cos(k*l))/(sqrt(r0^2+(y(m)-d(i))^2)/sqrt(r0^2+(y(m)-d(i))^2+x(n)^2))*I(i)*(exp(-j*k*sqrt(r0^2+(y(m)-d(i))^2+x(n)^2))/sqrt(r0^2+(y(m)-d(i))^2+x(n)^2)); end end end Emax = max(E); maxE = max(Emax); Eneardb = 20*log(abs(E/maxE)); figure(1); % 3D near-fiel distribution surf(x/lambda,y/lambda,Eneardb); title('Rozlozeni normovaneho modulu pole v blizke oblasti (z = 2*lambda)'); xlabel('y[lambda]'); ylabel('x[lambda]'); zlabel('abs(Enear)'); % depiction of E (module and phase) in the near-field for two orthogonal cuts figure(2); subplot(2,2,1); plot(x/lambda,Eneardb(:,((Ny+1)/2))); title('rez rovinou y = 0'); xlabel('x[lambda]'); ylabel('abs(Enear)'); subplot(2,2,2); plot(y/lambda,Eneardb(((Nx+1)/2),:)); title('rez rovinou x = 0'); xlabel('y[lambda]'); ylabel('abs(Enear)'); subplot(2,2,3); plot(x/lambda,angle(E(:,((Ny+1)/2)))/(2*pi)*360); xlabel('x[lambda]'); ylabel('phase(Enear)'); subplot(2,2,4); plot(y/lambda,angle(E(((Nx+1)/2),:))/(2*pi)*360); xlabel('y[lambda]'); ylabel('phase(Enear)');

%TILL HERE I WAS ABLE TO GENERATE PLOTS, % nOW THE PROBLEM RISES TO SELECT THE VALUE OF t

%----------- near-field to far-field transformation -------------------- A = zeros(t,t); % spatial spectrum computation for m=1:t for n=1:t for h=1:Ny for i=1:Nx A(n,m) = A(n,m) + E(i,h)*exp(j*k*(x(i)*kx(n,m)+y(h)*ky(n,m))); end end end t-m end A = A/(Nx*Ny);

% ------ far-field computation (theoretical values for comparison) ----------- Evzdal = zeros(t,t); for m=1:t for n=2:(t-1) Evzdal(m,n) = ((cos(k*l*cos(phi(n)))-cos(k*l)) / sin(phi(n)))*(sin(Nd/2*k*dd*cos(theta(m)+pi/2)))/(sin(1/2*k*dd*cos(theta(m)+pi/2))); end end Evzdalmax = max(Evzdal); maxEvzdal = max(Evzdalmax); Evzdal = abs(Evzdal/maxEvzdal); Evzdaldb = 20*log(Evzdal); figure(3); surf(phi/(2*pi)*360,theta/(2*pi)*360,Evzdaldb); title('Vyzarovaci diagram ziskany vypoctem'); xlabel('phi[°]'); ylabel('theta[°]'); zlabel('abs(Efar)'); % -------- multiplying the angular spectrum by a wavenumber ------------------ for i=1:t A(i,:) = kz.*A(i,:); A(:,i) = rot90(kz).*A(:,i); end

Amax = max(A); maxA = max(Amax); A = A/maxA; F = abs(A); Fdb = 20*log(F); figure(4); % depiction of spatial spectrum for two orthogonal cuts subplot(2,1,1); stem(ky(:,45),abs(A(:,45))); title('Rez prostorovym spektrem v rovine kx=0'); xlabel('ky'); ylabel('abs(A)'); subplot(2,1,2); stem(kx(45,:),abs(A(45,:))); title('Rez prostorovym spektrem v rovine ky=0'); xlabel('kx'); ylabel('abs(A)'); figure(6); % theoretical and transformed values comparison subplot(2,1,1); plot(theta(2:(t-1))/(2*pi)*360,Evzdaldb(2:(t-1),45),'b',theta(2:(t-1))/(2*pi)*360,Fdb(2:(t-1),45),'r'); xlabel('theta[°]'); ylabel('abs(Evzdal/Emax)'); subplot(2,1,2); plot(theta(2:(t-1))/(2*pi)*360,Evzdaldb(45,2:(t-1)),'b',theta(2:(t-1))/(2*pi)*360,Fdb(45,2:(t-1)),'r'); xlabel('phi[°]'); ylabel('abs(Evzdal/Emax)');