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How do I plot this in MATLAB ?

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simran
simran il 24 Ago 2023
Commentato: Angelo Yeo il 25 Ago 2023
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!

Risposta accettata

Angelo Yeo
Angelo Yeo il 24 Ago 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 Commenti
simran
simran il 24 Ago 2023
Thankyou very much for the help! It is exactly what i wanted. Also, if you could recommend me some ways to make it look more attractive and colorful with some styles? like in the picture attached or maybe you could recommend some other sources where i can learn different styles of such coloring ?
Angelo Yeo
Angelo Yeo il 25 Ago 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

Accedi per commentare.

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