How do I plot this in MATLAB ?
显示 更早的评论
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!
采纳的回答
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 个评论
simran
2023-8-24
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
2023-8-25
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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