采用matlab编程，其主函数如下，可以模拟各阶的zernike多项式： F^,:p.ihm<
%Display the Zernike function Z(n=5,m=1) [ATJ!
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clc ?m7:@GOE1
clear J )nK9
a=5;%%%%%%%%%%Z的阶数下标 X [Y0r
b=1;%%%%%%%%%%Z的阶数的上标 n 0!8 )Sth
x = -1:0.01:1; |)x7qy`
[X,Y] = meshgrid(x,x); qxZIH
[theta,r] = cart2pol(X,Y); !do` OEQKR
idx = r<=1; dsTX?E<R
z = nan(size(X)); M7# !Y=
z(idx) = zernfun(a,b,r(idx),theta(idx)); \gA!)q.;
figure(1) _p$/.~Xo9
pcolor(x,x,z), shading interp Okq,p=D6
axis square, colorbar =v2 |QuS$
xlabel('X'); fA=Z):w
ylabel('Y'); <Iw {fj|
title(['Zernike function Z^a_b','(r,\theta)']) (/y8KG 3
figure(2) zt. k Nb
mesh(x,x,z) 3W1Lh~Av
xlabel('X'); i)#-VOhX)
ylabel('Y'); (j}7|*.
title(['Zernike function Z^a_b','(r,\theta)'])
