采用matlab编程，其主函数如下，可以模拟各阶的zernike多项式： 11RqP:zg
%Display the Zernike function Z(n=5,m=1) )!=fy']
clc A`1-c
clear ;i!$rL
a=5;%%%%%%%%%%Z的阶数下标 y=zs6HaS
b=1;%%%%%%%%%%Z的阶数的上标 FTu<$`!1L
x = -1:0.01:1; ` l
[X,Y] = meshgrid(x,x); o.wXaS8
[theta,r] = cart2pol(X,Y); \_ MWZRMc5
idx = r<=1; # blh9.V&F
z = nan(size(X)); ~^>g<YR[
z(idx) = zernfun(a,b,r(idx),theta(idx)); T;v^BVn
figure(1) r o8C^d]
pcolor(x,x,z), shading interp B C R]K
axis square, colorbar ,.AXQ#~&`
xlabel('X'); \`W8 #fob
ylabel('Y'); jvhD_L/
title(['Zernike function Z^a_b','(r,\theta)']) ;iz3Bf1o
figure(2) 83F]d+n
mesh(x,x,z) tG[v@-O
xlabel('X'); |nY+Nen7
ylabel('Y'); `HILsU=|
title(['Zernike function Z^a_b','(r,\theta)'])
