As per my understanding, you are interested in plotting the 2D phase distribution of the beam, when the equation of the beam is available. In order to do this, you can try out these steps:
- Define the equation in MATLAB using the variables present in your equation. An example definition may look like this:
wavelength = 900e-9;
k = 2*pi / wavelength;
phase = @(x, y) k*x^2 + k*y^2;
% In your case, the variables might be 'r' and 'phi'
- Generate a grid of the x and y values using meshgrid function.
x = linspace(-1, 1, 100); % x coordinates
y = linspace(-1, 1, 100); % y coordinates
[X, Y] = meshgrid(x, y);
- Calculate the phase based on the x and y values using the function you have defined.
Phase = phase(X, Y);
- Plot the resulting data using the imagesc function.
figure;
imagesc(x, y, Phase); % plot the phase distribution as an image
colormap('jet');
xlabel('x'); ylabel('y'); % set axis labels
title('2D Phase Distribution');
Here are some relevant documentations that you might want to follow.
Anonymous functions : https://in.mathworks.com/help/matlab/matlab_prog/anonymous-functions.html
imagesc function : https://in.mathworks.com/help/matlab/ref/imagesc.html
Thank you!
