采用matlab编程，其主函数如下，可以模拟各阶的zernike多项式： (`y |AOs
%Display the Zernike function Z(n=5,m=1) ;$ L!`"jn
clc |Sv #f2`
clear 9PGR#!!F$
a=5;%%%%%%%%%%Z的阶数下标 RGA* 7
b=1;%%%%%%%%%%Z的阶数的上标 >Wit"p
x = -1:0.01:1; p>tdJjnt
[X,Y] = meshgrid(x,x); Ww
tQ>'R"
[theta,r] = cart2pol(X,Y); hG;=ci3EE
idx = r<=1; s1\BjSzk
z = nan(size(X)); |21hY
z(idx) = zernfun(a,b,r(idx),theta(idx)); g7z9i[
figure(1) ^t
ldm7{_
pcolor(x,x,z), shading interp ftH%, /,
axis square, colorbar "sx& 8H"
xlabel('X'); , Y8X"~{A
ylabel('Y'); 5YH
mp7c-z
title(['Zernike function Z^a_b','(r,\theta)']) LLY;IUK!R
figure(2) *#^1rKGWK
mesh(x,x,z) OHnjI> /
xlabel('X'); $(L 7/M
ylabel('Y'); w:zC/5x`
title(['Zernike function Z^a_b','(r,\theta)'])
