采用matlab编程，其主函数如下，可以模拟各阶的zernike多项式： q~*t@
%Display the Zernike function Z(n=5,m=1) ^Nmg07_R
clc h o0@ l
clear %5A+V0D0'
a=5;%%%%%%%%%%Z的阶数下标 j &
<i&
b=1;%%%%%%%%%%Z的阶数的上标 Oh'Y0_oB>
x = -1:0.01:1; \o/n
[X,Y] = meshgrid(x,x); I+dbZBX
[theta,r] = cart2pol(X,Y); ;~\MZYs3m
idx = r<=1; &9"-`-[e:
z = nan(size(X)); tPGJ<30
z(idx) = zernfun(a,b,r(idx),theta(idx)); l"2OP6d
figure(1) #:^YI
c
pcolor(x,x,z), shading interp =Q[b'*o7
axis square, colorbar UGuxV+Nwf
xlabel('X'); y^}6! >Ou:
ylabel('Y'); 4 =Krq6{
title(['Zernike function Z^a_b','(r,\theta)']) sRrzp=D
figure(2) ea~:} !-P
mesh(x,x,z) )I$q 5%q8
xlabel('X'); 9$ |Gfyv
ylabel('Y');
NsJ(`zk:
title(['Zernike function Z^a_b','(r,\theta)'])
