采用matlab编程，其主函数如下，可以模拟各阶的zernike多项式： Cq -d,
%Display the Zernike function Z(n=5,m=1) g( 9\r
clc X^pxu6nm-
clear y]z^e\qc)
a=5;%%%%%%%%%%Z的阶数下标 / /ty] j
b=1;%%%%%%%%%%Z的阶数的上标 =v (MdjwFl
x = -1:0.01:1; ]yzqBbV
[X,Y] = meshgrid(x,x); .Fdqn?c|+
[theta,r] = cart2pol(X,Y); z?a<&`W
idx = r<=1; q ' 6gj
z = nan(size(X)); [#}A]1N
z(idx) = zernfun(a,b,r(idx),theta(idx)); y1zNF$<q
figure(1) "Zu hN(-`
pcolor(x,x,z), shading interp >o\s'i[
axis square, colorbar % FN3/iM
xlabel('X'); J|ni'Hb
ylabel('Y'); 0)c9X[sG
title(['Zernike function Z^a_b','(r,\theta)']) CTqAhL 4}
figure(2) >,ThIwRN
mesh(x,x,z) ]6PX4oK _t
xlabel('X'); W6kDQ& q
ylabel('Y'); ]}K\&ho2
title(['Zernike function Z^a_b','(r,\theta)'])
