3-D radiation pattern

Hi,

I have do have a set of data including azimuth, elevation that are in degrees and amplitude. I am just trying to get a 3-D scatter plot with these data and this is what I am getting after converting into Cartesian form.

But I am supposed to get something similar like below,

Are there any useful functions I can use to generate 3-D radiation pattern? I am using Matlab R2013a

Thank you

Answer 1

[Samayochita]

Hi Mike,

To generate a 3D radiation pattern in MATLAB, you can use functions like “meshgrid”, “sph2cart”, “surf” etc. You can follow the below steps to do so:

1. Convert azimuth, elevation, and amplitude into Cartesian coordinates.
2. Use a visualization method such as “surf”, “meshgrid”, or “sph2cart” instead of “scatter3”.
3. Normalize the amplitude if necessary.

I have written an example code for your reference:

%replace this with your actual data 
az = linspace(0, 360, 50); % Azimuth angles 
el = linspace(-90, 90, 50); % Elevation angles 
[AZ, EL] = meshgrid(deg2rad(az), deg2rad(el)); % Convert to radians 
% amplitude pattern 
R = abs(cos(EL) .* cos(AZ));  
% Convert to Cartesian coordinates 
[X, Y, Z] = sph2cart(AZ, EL, R); 
% Plot using surf 
figure; 
surf(X, Y, Z, R, 'EdgeColor', 'none');  
colormap(jet);  
colorbar; % Show amplitude scale 
xlabel('X'); ylabel('Y'); zlabel('Z'); 
title('3D Radiation Pattern Example'); 
axis equal; 
view(3); 
grid on; 

Documentation for reference:

• sph2cart : https://www.mathworks.com/help/matlab/ref/sph2cart.html
• surf : https://www.mathworks.com/help/matlab/ref/surf.html
• meshgrid : https://www.mathworks.com/help/matlab/ref/meshgrid.html

Hope this helps!