# How to Plot a function on 3D-sphere?

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Wiqas Ahmad on 6 Apr 2021
Edited: Wiqas Ahmad on 9 Apr 2021
I want to plot the function P of the equation shown. I have to obtan the following figure. I have already obtained all the inputs required by this function and have coded a program to get the figure but unable to get it.
N0=100;
r_med=0.5;
sigma_g=7;
N_ang=91;
[P11,P12,P33,P34,beta_s,alpha_c,beta_c] = ZK_W_Cloud_PhaseFunc(N0,r_med,sigma_g,N_ang)
theta=0:1:180;
beta1=180:1:360;
beta=2*beta1;
ph_ft1=P12.*cos(beta);
hph_ft=P11+ph_ft1
[x,y,z]=sphere
x1=x.*hph_ft;
y1=y.*hph_ft;
z1=z.*hph_ft;
S1=surf(x1,y1,z1)

Walter Roberson on 6 Apr 2021
N0=100;
r_med=0.5;
sigma_g=7;
N_ang=91;
[P11,P12,P33,P34,beta_s,alpha_c,beta_c] = ZK_W_Cloud_PhaseFunc(N0,r_med,sigma_g,N_ang)
theta=0:1:180; %UNUSED
beta1=180:1:360;
beta=2*beta1;
ph_ft1=P12.*cosd(beta); %beta is degrees!
hph_ft=P11+ph_ft1
[x,y,z]=sphere
x1=x.*hph_ft;
y1=y.*hph_ft;
z1=z.*hph_ft;
S1=surf(x1,y1,z1)
Where is the alpha? Where is the sind(2*beta) ? Or all of the other variables??
It is not a good idea to use variable names that are completely different than the equations.
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Walter Roberson on 6 Apr 2021
You added a small number of constants, but I do not see the term?
It is not a good idea to use variable names that are completely different than the equations. Make it easy for anyone who is looking at the equation to see that your implementation matches the equation.
Wiqas Ahmad on 9 Apr 2021
Edited: Wiqas Ahmad on 9 Apr 2021
I modified my question and now the code is is according to the question. Hope it will be clear now
N0=100;
r_med=0.5;
sigma_g=7;
N_ang=91;
[P11,P12,P33,P34,beta_s,alpha_c,beta_c] = ZK_W_Cloud_PhaseFunc(N0,r_med,sigma_g,N_ang)
alpha=0:1:180;% angle alpha
beta=180:1:360; %angle beta
ph_ft(alpha,beta)=P11(alpha)+P12(alpha).*(cosd(2*beta)); %beta is in degrees! I have to plot this function
[x,y,z]=sphere
x1=x.*ph_ft;
y1=y.*ph_ft;
z1=z.*ph_ft;
S1=surf(x1,y1,z1)