采用matlab编程，其主函数如下，可以模拟各阶的zernike多项式： ;ipT0*Y
%Display the Zernike function Z(n=5,m=1) =H_vR d
clc r?$ V;Z
clear ' 5xvR G
a=5;%%%%%%%%%%Z的阶数下标 %nV6#pr
b=1;%%%%%%%%%%Z的阶数的上标 Q`m9I
x = -1:0.01:1; 5XzN%<_h9
[X,Y] = meshgrid(x,x); [lz#+~rOS
[theta,r] = cart2pol(X,Y); \n>7T*iM&
idx = r<=1; s|[CvjL#0
z = nan(size(X)); ?_t_rF(?6
z(idx) = zernfun(a,b,r(idx),theta(idx)); o6/"IIso3
figure(1) HPc~wX
pcolor(x,x,z), shading interp [aF"5G
axis square, colorbar wec_=E qK0
xlabel('X'); ''?iJFR
ylabel('Y'); HD YWDp
title(['Zernike function Z^a_b','(r,\theta)']) {X EX0|TZ
figure(2) P\ia ?9
mesh(x,x,z) < ;lwvO
xlabel('X'); .2{*>Dzi
ylabel('Y'); =oT4!OUf
title(['Zernike function Z^a_b','(r,\theta)'])
