Plotting antenna field patterns in spherical coordinates

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Rhiannon
Rhiannon am 21 Jul. 2011
Beantwortet: Vishwanath Iyer am 3 Jun. 2021
Hi, I have a 2D array which of the form A(theta, phi) and I want to plot A as a 3D surface. I have read advice which suggests to use the sph2cart function to convert to Cartesian coordinates, then use surf or mesh, but as size(A) = 46 90, i.e. it is not a square 2D array, it will not work. Any suggestions? Thanks

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Kelly Kearney
Kelly Kearney am 21 Jul. 2011
Why do you think your array needs to be square? Mesh, surf, etc. will accept any gridded data. Assuming your A values represent the radius at any given theta and phi:
theta = linspace(0, pi, 90);
phi = linspace(0, 2*pi, 46);
[theta, phi] = meshgrid(theta, phi);
A = ones(size(theta));
[x,y,z] = sph2cart(theta, phi, A);
mesh(x,y,z)
Is this what you're after?
  1 Kommentar
Rhiannon
Rhiannon am 21 Jul. 2011
Exactly what I was after. I was getting error messages when I was using sph2cart, and I assumed it was because I didnt have a square array, but it must have been something else.
Thank you

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Weitere Antworten (2)

Ebrahim Forati
Ebrahim Forati am 10 Jun. 2020
Just added a couple of fixes to Kelley's answer:
theta = linspace(-pi/2, pi/2, 90); % theta is w.r.t. xy plane
phi = linspace(0, 2*pi, 46);
[theta, phi] = meshgrid(theta, phi);
A = ones(size(theta));
[x,y,z] = sph2cart(phi, theta, A); % fixed this line too
mesh(x,y,z)

Vishwanath Iyer
Vishwanath Iyer am 3 Jun. 2021
Consider the following function in Antenna Toolbox for plotting radiation patern data:

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