采用matlab编程，其主函数如下，可以模拟各阶的zernike多项式： -'! J?~
%Display the Zernike function Z(n=5,m=1) @!sK@&ow@%
clc *WwM"NFHDd
clear mMAN* }`O
a=5;%%%%%%%%%%Z的阶数下标 ov6xa*'a
b=1;%%%%%%%%%%Z的阶数的上标 y> I2}P
x = -1:0.01:1; &N~Eu-@b
[X,Y] = meshgrid(x,x); 5S~ H[>A"
[theta,r] = cart2pol(X,Y); #[+# bw_6
idx = r<=1; 3_(_yEKx
z = nan(size(X));
gjS|3ED
z(idx) = zernfun(a,b,r(idx),theta(idx)); @) Qgy}*5
figure(1) l2D*b93
pcolor(x,x,z), shading interp K" #$",}=
axis square, colorbar 1- 2hh)
xlabel('X'); 0U '"@A
\
ylabel('Y'); _D '(R
title(['Zernike function Z^a_b','(r,\theta)']) Rs %`6et}\
figure(2) YvR bM
mesh(x,x,z) ARH~dN* C
xlabel('X'); O2w-nd74U
ylabel('Y'); ~iL^KeAp
title(['Zernike function Z^a_b','(r,\theta)'])
