采用matlab编程，其主函数如下，可以模拟各阶的zernike多项式： g<PglRr"
%Display the Zernike function Z(n=5,m=1) o2W^!#]=
clc 40Hm+Ge
clear 98Ly zF9
a=5;%%%%%%%%%%Z的阶数下标 k07pI<a?
b=1;%%%%%%%%%%Z的阶数的上标 C] >?YR4
x = -1:0.01:1; ~9DD=5\
[X,Y] = meshgrid(x,x); 2tI ,`pSU
[theta,r] = cart2pol(X,Y); ] 8dzTEjk
idx = r<=1; Ji7<UJ30x
z = nan(size(X)); IHcR/\mz
z(idx) = zernfun(a,b,r(idx),theta(idx)); ,#Mt10e{
figure(1) OS sYmF
pcolor(x,x,z), shading interp o Je`]_XZ
axis square, colorbar !?5YX I,
xlabel('X'); #9CLIYJAd
ylabel('Y'); 2i)vT)~
title(['Zernike function Z^a_b','(r,\theta)']) #8@o%%F d
figure(2) y{Vh?Z<E
mesh(x,x,z) 'ocPG.PaU
xlabel('X'); d34BJ<
ylabel('Y'); `/JuItL-
title(['Zernike function Z^a_b','(r,\theta)'])
