How to plot the 2d complex function with amplitude and phase

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Qiu Xu
Qiu Xu 2022 年 1 月 20 日
編集済み: Paul 2022 年 2 月 20 日
I have a 2d complex function as follows
How to realize the following figure by using Matlab?
In this image, the color on the ring presents the changes of phase of the function from small to big.
  1 件のコメント
Paul 2022 年 2 月 20 日
編集済み: Paul 2022 年 2 月 20 日
The phase of psi is a function of two variables (x and y). How is "changes of phase" defined? Change wrt x holding y constant (del f / del x)? Change wrt y holding x constant (del f / del y)? Something else?


回答 (1 件)

Hiro 2022 年 2 月 20 日
編集済み: Hiro 2022 年 2 月 20 日
Run the following code and see if this fits your thought.
meshgrid is a key here.
[X,Y] = meshgrid(x,y);
phi = sqrt(X.^2+Y.^2).*exp(-(X.^2+Y.^2)/16).*exp(1i*atan2(Y,X));
rPhi = real(phi);
iPhi = imag(phi);
phiPhase = angle(phi);
%phiPhaseW = unwrap(phiPhase);
s2 = surf(X,Y,phiPhase,'LineStyle','none');
title('X vs. Y vs. phiPhase')


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