采用matlab编程，其主函数如下，可以模拟各阶的zernike多项式： ?+ d{Rh) y
%Display the Zernike function Z(n=5,m=1) ? Pi|`W
clc :atd_6
clear ldp9+7n~
a=5;%%%%%%%%%%Z的阶数下标 a" YVr'|
b=1;%%%%%%%%%%Z的阶数的上标 <S7SH-{_\
x = -1:0.01:1; *j&\5|^V
[X,Y] = meshgrid(x,x); lbt8S.fx
[theta,r] = cart2pol(X,Y); dDl +
idx = r<=1; h9m|f|cH
z = nan(size(X)); 5>%^"f
z(idx) = zernfun(a,b,r(idx),theta(idx)); M/.M~/ ~
figure(1) tik*[1it
pcolor(x,x,z), shading interp Peph..8 Z
axis square, colorbar ,m`&J?
xlabel('X'); YC 4c-M
ylabel('Y'); ]8 }2
title(['Zernike function Z^a_b','(r,\theta)']) u{=h%d/
figure(2) NvIg,@}
mesh(x,x,z) rG~W=!bj
xlabel('X'); "4WnDd 5"
ylabel('Y'); U}X'RCM
title(['Zernike function Z^a_b','(r,\theta)'])
