采用matlab编程,其主函数如下,可以模拟各阶的zernike多项式: Gz!72H
%Display the Zernike function Z(n=5,m=1) 5in6Y5c kj
clc tZ=BK:39\
clear gW6lMyiLb
a=5;%%%%%%%%%%Z的阶数下标 d?&?$qf[
b=1;%%%%%%%%%%Z的阶数的上标 U;6~]0^K
x = -1:0.01:1; Vk$zA<sw"
[X,Y] = meshgrid(x,x); c?eV8h1G
[theta,r] = cart2pol(X,Y); "F|OJ@M
idx = r<=1; *Yvfp{B
z = nan(size(X)); X<(h)&E
z(idx) = zernfun(a,b,r(idx),theta(idx)); :H\6wJ
figure(1) _hMVv&$
pcolor(x,x,z), shading interp NeHR%a2~
axis square, colorbar 6yTL7@V|B
xlabel('X'); =X>3C"]
ylabel('Y'); "~7| !9<
title(['Zernike function Z^a_b','(r,\theta)']) "`,PLC
figure(2) N"T~U\R
mesh(x,x,z) ,vW.vq<{q3
xlabel('X'); f8N
ylabel('Y'); rEdr8qw
title(['Zernike function Z^a_b','(r,\theta)'])