采用matlab编程，其主函数如下，可以模拟各阶的zernike多项式： Gy["_;+xU
%Display the Zernike function Z(n=5,m=1) }I}GA:~$%
clc (Lz|o!>
clear V[WZ# u-p
a=5;%%%%%%%%%%Z的阶数下标 5W fZd
b=1;%%%%%%%%%%Z的阶数的上标 w0$+ v /
x = -1:0.01:1; ^5~x*=_
[X,Y] = meshgrid(x,x); PEj d
[theta,r] = cart2pol(X,Y); gk8 v{'0Er
idx = r<=1; k-^^Ao*@
z = nan(size(X)); 1 <T|
z(idx) = zernfun(a,b,r(idx),theta(idx)); Y~^R^ J
figure(1) J#@+1 Nt
pcolor(x,x,z), shading interp G2!<C -T{2
axis square, colorbar pQ7elv]
xlabel('X'); GK11fZpO:i
ylabel('Y'); >{Mv+
title(['Zernike function Z^a_b','(r,\theta)']) o\Fv~^
figure(2) _M7|:*
mesh(x,x,z) INk|NEX
xlabel('X'); j<Pw0?~s6
ylabel('Y'); QRl+ 7V
title(['Zernike function Z^a_b','(r,\theta)'])
