采用matlab编程，其主函数如下，可以模拟各阶的zernike多项式： "?
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%Display the Zernike function Z(n=5,m=1) <oTNo>U/k
clc !V0)eC50
clear N?s5h?
a=5;%%%%%%%%%%Z的阶数下标 u9}LvQh_6,
b=1;%%%%%%%%%%Z的阶数的上标 &nn+X% m9g
x = -1:0.01:1; [k,FJ5X
[X,Y] = meshgrid(x,x); =:^f6"p&Z
[theta,r] = cart2pol(X,Y); hQJ -
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idx = r<=1; d[ e;Fj!
z = nan(size(X)); u,S}4p&l
z(idx) = zernfun(a,b,r(idx),theta(idx)); &K,rNH'R
figure(1) yuZh ak
pcolor(x,x,z), shading interp 5[$Tpn#K7
axis square, colorbar % ELf 7~
xlabel('X'); 8&y3oxA,
ylabel('Y'); >56;M7b(K
title(['Zernike function Z^a_b','(r,\theta)']) vo'{phtF)M
figure(2) u6p
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mesh(x,x,z) Z7?- c
xlabel('X'); * p,2>[e
ylabel('Y'); + JBYGYN&K
title(['Zernike function Z^a_b','(r,\theta)'])
