采用matlab编程，其主函数如下，可以模拟各阶的zernike多项式： >dJuk6J&c&
%Display the Zernike function Z(n=5,m=1) AaA!U!B
clc A /I\M N|
clear z6@8IszU
a=5;%%%%%%%%%%Z的阶数下标 v:4j 3J$z
b=1;%%%%%%%%%%Z的阶数的上标 !;,\HvEZYw
x = -1:0.01:1; }6-olVg
[X,Y] = meshgrid(x,x); NT 5=% X]
[theta,r] = cart2pol(X,Y); X;W0r5T
idx = r<=1; :FI D ,
z = nan(size(X)); E ,.PT^au
z(idx) = zernfun(a,b,r(idx),theta(idx)); 1k4\zVgi
figure(1) lL:!d.{
pcolor(x,x,z), shading interp Itr 4 Pr
axis square, colorbar bpZA% {GS
xlabel('X'); @a@}xgn{
ylabel('Y'); (@XQ]S}L
title(['Zernike function Z^a_b','(r,\theta)']) @,.D]43
figure(2) GD.Ss9_h1
mesh(x,x,z) AE~a=e\x
xlabel('X'); XyN
" Jr
ylabel('Y'); 7ihcjyXB
title(['Zernike function Z^a_b','(r,\theta)'])
