采用matlab编程,其主函数如下,可以模拟各阶的zernike多项式: }`]Et99Q5
%Display the Zernike function Z(n=5,m=1) igF<].'V
clc +(h{3Y|
clear H"wIa8A
a=5;%%%%%%%%%%Z的阶数下标 RJdijj
b=1;%%%%%%%%%%Z的阶数的上标 Xl
E0oN~{
x = -1:0.01:1; '|G8yojz
[X,Y] = meshgrid(x,x); 5X:3'*
[theta,r] = cart2pol(X,Y); |?ZNGPt
idx = r<=1; )g`~,3G
z = nan(size(X)); X5+$:jq&
z(idx) = zernfun(a,b,r(idx),theta(idx)); N: 5 N}am
figure(1) dyB@qh~H
pcolor(x,x,z), shading interp LXf|n
axis square, colorbar n_*.i1\'w
xlabel('X'); %Hu.FS5'
ylabel('Y'); 7nZ3u_~
title(['Zernike function Z^a_b','(r,\theta)']) j2mMm/kq\
figure(2) 6+:;Mb_S
mesh(x,x,z) -cP1,>Ahv
xlabel('X'); r"dR}S.Uf
ylabel('Y'); X=Jt4 h9
title(['Zernike function Z^a_b','(r,\theta)'])