采用matlab编程，其主函数如下，可以模拟各阶的zernike多项式： ?,)"~c$hZ
%Display the Zernike function Z(n=5,m=1) Y.sz|u 1
clc n-J2/j
clear C5*xQlCq}
a=5;%%%%%%%%%%Z的阶数下标 ys8Q.oBv_`
b=1;%%%%%%%%%%Z的阶数的上标 Q9c)k{QZ
x = -1:0.01:1; /7/0x ./{
[X,Y] = meshgrid(x,x); 2 0tO#{Li
[theta,r] = cart2pol(X,Y); F PR`t E
idx = r<=1; gl8Ib<{
z = nan(size(X)); fvqd '2 t
z(idx) = zernfun(a,b,r(idx),theta(idx)); I4=Xb^Ux
figure(1) ^A9 M;q
pcolor(x,x,z), shading interp !l 6dg&
axis square, colorbar 1/; o
xlabel('X'); y 9 L 14
ylabel('Y'); IRW^ok.'b!
title(['Zernike function Z^a_b','(r,\theta)']) n?xTkkr0
figure(2) [sy j#
mesh(x,x,z) eGL<vX
xlabel('X');
c5% 6Y2W0
ylabel('Y'); wRvb8F 0
title(['Zernike function Z^a_b','(r,\theta)'])
