How to plot a 3d function on a sphere?
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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');
%%%-------------------------------------------------------------------%%%

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