采用matlab编程，其主函数如下，可以模拟各阶的zernike多项式： UNJ]$x0
%Display the Zernike function Z(n=5,m=1) 4w:_4qyb
clc ~bCn%r2
clear [ }|-% 4s
a=5;%%%%%%%%%%Z的阶数下标 ;Bo{.916
b=1;%%%%%%%%%%Z的阶数的上标 aU3
m{pE
x = -1:0.01:1; y8Bi5Ae,+1
[X,Y] = meshgrid(x,x); O1Gd_wDC/i
[theta,r] = cart2pol(X,Y); iO;q]
idx = r<=1; C
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z = nan(size(X)); xQa[bvW
z(idx) = zernfun(a,b,r(idx),theta(idx)); *s/sF@8<X
figure(1) y(B~)T~e@
pcolor(x,x,z), shading interp UB]} j^
axis square, colorbar $Xw .iN]g
xlabel('X');
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ylabel('Y'); l
tr =_
title(['Zernike function Z^a_b','(r,\theta)']) b+\jFGC%6=
figure(2) ,ijgq EN
mesh(x,x,z) A+3@N99HeH
xlabel('X'); pr.Vfb
ylabel('Y'); dWE[*a\g
title(['Zernike function Z^a_b','(r,\theta)'])
