采用matlab编程，其主函数如下，可以模拟各阶的zernike多项式： m$}Jw< .W
%Display the Zernike function Z(n=5,m=1) q@O e}
clc b?nORWj C
clear 0.
mS^g,M-
a=5;%%%%%%%%%%Z的阶数下标 H?tX^HO:q
b=1;%%%%%%%%%%Z的阶数的上标 =9L1Z \f
x = -1:0.01:1; [ %6(1$Ih
[X,Y] = meshgrid(x,x); p~f =0K
[theta,r] = cart2pol(X,Y); @t4OpU<'*b
idx = r<=1; "ot# g"
z = nan(size(X)); 9#b/D&pX5
z(idx) = zernfun(a,b,r(idx),theta(idx)); 'o%6TWl9s
figure(1) NGVl/Qd
pcolor(x,x,z), shading interp h@%a+ 6b?
axis square, colorbar @23~)uiZa
xlabel('X'); B\Uocn
ylabel('Y'); oUx%ra{
title(['Zernike function Z^a_b','(r,\theta)']) U *:E|'>
figure(2) J/B `c(
mesh(x,x,z) *=z v:!
xlabel('X'); jH?!\F2)+
ylabel('Y'); 3{9d5p|\i
title(['Zernike function Z^a_b','(r,\theta)'])
