plotting graph of unit disc

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Akansha
Akansha on 19 Sep 2023
Commented: Dyuman Joshi on 20 Sep 2023
i am trying to plot this graph in matlab ,first one is graph of domain second graph is of range ,please help me to plot this graph in matlab

Accepted Answer

Angelo Yeo
Angelo Yeo on 19 Sep 2023
This is very similar to one of questions that I replied to.
Here is my script.
n_rays = 16 + 1;
n_circles = 9 + 1;
n_samples = 200;
rays = linspace(0, 1, n_samples)' * exp(1j*linspace(0, 3.686135, n_rays));
interior_circles = linspace(0, 1, n_circles)' * (cos(linspace(0, 3.686135, n_samples)) + 1j * sin(linspace(0, 3.686135, 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.*exp(1i*pi/2); % 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;
  5 Comments
Akansha
Akansha on 20 Sep 2023
right, thankyou for your help
Dyuman Joshi
Dyuman Joshi on 20 Sep 2023
Hello @Akansha , if this answer solved your problem, please consider accepting the answer.
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