plot a cylindrical wave in matlab in matlab

To plot a cylindrical wave in Matlab, we can use the Bessel function and meshgrid. Here is an example code:

main.m
% Define cylindrical coordinate grid
[r,theta,z] = meshgrid(0:0.1:5,0:pi/20:2*pi,1:0.1:5);

% Define wave parameters
k = 1;
A = 1;

% Calculate cylindrical wave function using Bessel function
j0kr = besselj(0, k*r);
cyl_wave = A*j0kr.*exp(1i*k*z);

% Plot cylindrical wave using isosurface
figure;
isosurface(r.*cos(theta),r.*sin(theta),z,real(cyl_wave),0.5);
axis equal;
xlabel('x');
ylabel('y');
zlabel('z');
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This code defines a cylindrical coordinate grid using meshgrid and calculates the cylindrical wave function using the Bessel function. The wave function is then plotted using isosurface, with the real part of the wave function equal to 0.5. The resulting plot shows a cylindrical wave propagating in the z direction.

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