采用matlab编程，其主函数如下，可以模拟各阶的zernike多项式： r'8e "pTi
%Display the Zernike function Z(n=5,m=1) }"T:z{n
clc a V ^2
clear Ii9vA ^53
a=5;%%%%%%%%%%Z的阶数下标 ,"/_G
b=1;%%%%%%%%%%Z的阶数的上标 (T ^aZuuS
x = -1:0.01:1; V;z?m)ur
[X,Y] = meshgrid(x,x); 9> |r Iw
[theta,r] = cart2pol(X,Y); njIvVs`q
idx = r<=1; ugCc& ~`
z = nan(size(X)); $&4Z w6"=
z(idx) = zernfun(a,b,r(idx),theta(idx)); ^b%AwzHH}
figure(1) n"pADTaB
pcolor(x,x,z), shading interp XH . _Z
axis square, colorbar +V) (,f1
xlabel('X'); $lv
g.u
ylabel('Y'); WgIVhj
title(['Zernike function Z^a_b','(r,\theta)']) YONg1.^!(
figure(2) 0e:aeLh
mesh(x,x,z) 1?*vqd t
xlabel('X'); >#'6jm
ylabel('Y'); |9g*rO
title(['Zernike function Z^a_b','(r,\theta)'])
