How to plot a 3d function on a sphere?

Question

Wiqas Ahmad 2021-7-6

0
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https://ww2.mathworks.cn/matlabcentral/answers/872608-how-to-plot-a-3d-function-on-a-sphere

回答： Jai Khurana 2021-7-6

在 MATLAB Online 中打开

I want to plot the following function on a sphere to obtain the figures below. The function is

P11 and P12 are two row vectors in my directory with sizes

.

The required figures are

The first figure is generated by using the values [1,1,0,0] and the second is generated by [1,0,0,1] of the vector [I0,Q0,U0,V0]. My coded program and its output are

clear all;
clc;
%% ------------------------------Program-------------------------------------
N0=100;
r_med=[1];
sigma_g=7;
N_ang=91;
theta=1:1:181;
phi=1:1:360;
for i=1:length(r_med)
    [P11(i,:),P12(i,:),P33(i,:),P34(i,:),~,~,~] = ZK_W_Cloud_PhaseFunc(N0,r_med(i),sigma_g,N_ang)
end
figure
hold on
[theta,phi]=meshgrid(theta,phi);
P122=P12(i,:).*cos(2*phi);
P(i,:)=P11(i,:)+P122(i,:);
x=P(i,:).*cos(phi).*sin(theta);
y=P(i,:).*sin(phi).*sin(theta);
z=P(i,:).*cos(theta);
plot3(x,y,z)
xlabel('X');ylabel('Y');zlabel('Z');
%%%-------------------------------------------------------------------%%%