How do I plot this in MATLAB ?
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Above is the image of circular grid under f(z)=z/(1-z) in "complex tool" given by jim rolf.
I want to plot images of such circular grids (|z|<1) under any complex map f(z)=x(z)+i*y(z) in MATLAB. so if anyone could help me with the code so that i can plot these in MATLAB .
Thanks, i would really appreciate the help!
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Accepted Answer
Angelo Yeo
on 24 Aug 2023
n_rays = 16 + 1;
n_circles = 9 + 1;
n_samples = 200;
rays = linspace(0, 1, n_samples)' * exp(1j*linspace(0, 2*pi, n_rays));
interior_circles = linspace(0, 1, n_circles)' * (cos(linspace(0, 2*pi, n_samples)) + 1j * sin(linspace(0, 2*pi, n_samples)));
interior_circles = transpose(interior_circles);
%% plotting
figure;
subplot(1,2,1);
for i_rays = 1:n_rays
plot(real(rays(:,i_rays)), imag(rays(:,i_rays)),'Color',[88, 140, 102]/ 255)
hold on;
end
for i_circle = 1:n_circles
plot(real(interior_circles(:,i_circle)), imag(interior_circles(:,i_circle)),'Color','r')
end
axis square
xlim([-2, 2])
ylim([-2, 2])
grid on;
subplot(1,2,2);
f = @(z) z./(1-z); % complex function to apply
for i_rays = 1:n_rays
plot(real(f(rays(:,i_rays))), imag(f(rays(:,i_rays))),'Color',[88, 140, 102]/ 255)
hold on;
end
for i_circle = 1:n_circles
plot(real(f(interior_circles(:,i_circle))), imag(f(interior_circles(:,i_circle))),'Color','r')
end
axis square
xlim([-2, 2])
ylim([-2, 2])
grid on;
2 Comments
Angelo Yeo
on 25 Aug 2023
Please refer to the doc for "plot".
https://www.mathworks.com/help/matlab/ref/plot.html?s_tid=srchtitle_site_search_1_plot#btzitot_sep_mw_3a76f056-2882-44d7-8e73-c695c0c54ca8
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