采用matlab编程，其主函数如下，可以模拟各阶的zernike多项式： (I`l v=R"j
%Display the Zernike function Z(n=5,m=1) L?Ys(a"k
clc cF_`QRtO
clear S.{
a=5;%%%%%%%%%%Z的阶数下标 =XtQ\$ Pax
b=1;%%%%%%%%%%Z的阶数的上标 +$Y*1{hyOo
x = -1:0.01:1; za+)2/
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[X,Y] = meshgrid(x,x); _%er,Ed
[theta,r] = cart2pol(X,Y); QJ(5o7Tfn
idx = r<=1; vvG"rU
z = nan(size(X)); 61b*uoq0w?
z(idx) = zernfun(a,b,r(idx),theta(idx)); QT5pn5+ z
figure(1) UCXRF
pcolor(x,x,z), shading interp ;l1.jQh
axis square, colorbar 9]{va"pe7
xlabel('X'); 4 l{$dtKbI
ylabel('Y'); ak- agH
title(['Zernike function Z^a_b','(r,\theta)']) B`t/21J
figure(2) <W>A }}q
mesh(x,x,z) &CcW(-
xlabel('X'); [V>s]c<4`o
ylabel('Y'); ;aj;(Z.p)
title(['Zernike function Z^a_b','(r,\theta)'])
