采用matlab编程，其主函数如下，可以模拟各阶的zernike多项式： N?7MYP
%Display the Zernike function Z(n=5,m=1) &[71~.Od
clc C#<b7iMg
clear ZcJa:
a=5;%%%%%%%%%%Z的阶数下标 L v ;% z
b=1;%%%%%%%%%%Z的阶数的上标 khFr%u ?S
x = -1:0.01:1; *Rm"3S
[X,Y] = meshgrid(x,x); i/UDda" E
[theta,r] = cart2pol(X,Y); Z*uv~0a>9Q
idx = r<=1; h[eC i
z = nan(size(X)); } )#VO-J
z(idx) = zernfun(a,b,r(idx),theta(idx)); 8(d Hn
figure(1) 3 s%Kw,z
pcolor(x,x,z), shading interp ` mvPbZ0<
axis square, colorbar : \hcl&W:
xlabel('X'); WXq=FZ-
ylabel('Y'); }- ` N^
title(['Zernike function Z^a_b','(r,\theta)']) `Xs3^FJt
figure(2) .M(')$\U
mesh(x,x,z) gR5
EK$
xlabel('X'); ZVu _E.4.
ylabel('Y'); o,qq*}=
title(['Zernike function Z^a_b','(r,\theta)'])
