采用matlab编程,其主函数如下,可以模拟各阶的zernike多项式: J!'@ Bd
%Display the Zernike function Z(n=5,m=1) p!k7C&]E
clc w
=.Fj
clear yQ#:J9HMJ
a=5;%%%%%%%%%%Z的阶数下标 >.dWjb6t
b=1;%%%%%%%%%%Z的阶数的上标 5~mh'<:
x = -1:0.01:1; >pU:Gr
[X,Y] = meshgrid(x,x); 6[ OzU2nB
[theta,r] = cart2pol(X,Y); `tjH<
idx = r<=1;
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z = nan(size(X)); 6#IU*
z(idx) = zernfun(a,b,r(idx),theta(idx)); JQ4{` =,b
figure(1) Qs9gTBS;
pcolor(x,x,z), shading interp [<'-yQ{l\
axis square, colorbar )_/5*Ly@
xlabel('X'); yHxosxd<*
ylabel('Y'); ]4;PR("aU
title(['Zernike function Z^a_b','(r,\theta)']) @+ atBmt
figure(2) A:7k+4
mesh(x,x,z) wywQ<n
xlabel('X'); !Hys3AP
ylabel('Y'); ?nP*\8
title(['Zernike function Z^a_b','(r,\theta)'])