采用matlab编程，其主函数如下，可以模拟各阶的zernike多项式： mVs<XnA47
%Display the Zernike function Z(n=5,m=1) r3}Q1b&
clc vyA
`Z1
clear ?cB:1?\j
a=5;%%%%%%%%%%Z的阶数下标 + g*s%^(E
b=1;%%%%%%%%%%Z的阶数的上标 /cXV J(# j
x = -1:0.01:1; m>:zwz< ;
[X,Y] = meshgrid(x,x); $sxm MP
[theta,r] = cart2pol(X,Y); 2?}5U)Hg
idx = r<=1; 2uE vu
z = nan(size(X)); 0XzrzT"&
z(idx) = zernfun(a,b,r(idx),theta(idx)); h>: eu#
figure(1) k|r|*|8
pcolor(x,x,z), shading interp \UEO$~Km
axis square, colorbar 2R`dyg
xlabel('X'); =jWjUkm2
ylabel('Y'); Z(|'zAb^
title(['Zernike function Z^a_b','(r,\theta)']) + e3{J _
figure(2) $&ZN%o3
mesh(x,x,z) +oRBSAg -
xlabel('X'); GF/!@N
ylabel('Y'); xgQ&'&7l
title(['Zernike function Z^a_b','(r,\theta)'])
