3D plot in a circle

Hi everybody,

I have the followng function: Sx=(SH*(sin(a))^2+Sh*(cos(a))^2)*sin(i)+Sv*(sin(i))^2;

SH, Sh and Sv have constant values, but "a" and "i" are angles which change from 0-360 and 0-90; respectivly. I want to plot Sx vs "a" & "i" in a circle like the picture.The color bar in the right side of this graph shows the range for Sx values. This circle is partitioned with internal dashed lines and circles. The dashed lines show "a" values changing from 0-360 degrees. each internal dashed circle shows a value for “i” changing from 0 to 90 degrees. The bigger the dashed circle, the larger the i values.

Can anyone offer any suggestions? Thanks.

Answer 1

[Star Strider]

I can’t get it to look exactly like the figure you posted( I don’t have the correct values for the constants), but this will work for a start:

SH = 3;   Sh = 5;  Sv = 7;
Sx=@(a,i) (SH.*(sin(a)).^2+Sh.*(cos(a)).^2).*sin(i)+Sv.*(sin(i)).^2;
a = 0:360;
i = 0:90;
[A, I] = meshgrid(0:360, 0:90);

Sxc = Sx(A, I);

[Aa, Ir, Scp] = pol2cart(A, I, Sxc);

figure(2)
contour(Aa, Ir, (Scp))
grid on
colormap('jet')
axis equal tight

[Farid sjdclkjas]

Thank you for your help. your code is correct and realy helps me.

[Star Strider]

My pleasure!

Answer 2

[A Jenkins]

File Exchange - 3D Polar Plot