采用matlab编程，其主函数如下，可以模拟各阶的zernike多项式： , 7wYa&
%Display the Zernike function Z(n=5,m=1) c'Z=uL<Rm
clc D9+qT<ojN
clear 1hw.gn*JK>
a=5;%%%%%%%%%%Z的阶数下标 =2$ (
tXL
b=1;%%%%%%%%%%Z的阶数的上标 icb)JZ1K
x = -1:0.01:1; z|Y54o3
[X,Y] = meshgrid(x,x); ;a?<7LIx
[theta,r] = cart2pol(X,Y); v? ." `,e
idx = r<=1; O|t>.<T?
z = nan(size(X)); f&CQn.K"
z(idx) = zernfun(a,b,r(idx),theta(idx)); 1o&z A<+NY
figure(1) Cf(WO-F^
pcolor(x,x,z), shading interp Phi5;U!
axis square, colorbar ,yC..aI
xlabel('X'); Z]B v
ylabel('Y'); lrJV"H
title(['Zernike function Z^a_b','(r,\theta)']) [RXLR#
figure(2) >N#Nz
0|(
mesh(x,x,z) nT?+^Ruc
xlabel('X'); rXW.F'=K6
ylabel('Y'); :a{dWgN
title(['Zernike function Z^a_b','(r,\theta)'])
