采用matlab编程,其主函数如下,可以模拟各阶的zernike多项式: G8!* &vR/
%Display the Zernike function Z(n=5,m=1) i@#fyU)[G
clc *Nh[T-y(s
clear nJ~5ICyd
a=5;%%%%%%%%%%Z的阶数下标 K)r|oW=6Y
b=1;%%%%%%%%%%Z的阶数的上标 vTUhIFa{
x = -1:0.01:1; ;R{ffS6
[X,Y] = meshgrid(x,x); "E )0)A3=
[theta,r] = cart2pol(X,Y); $|bdeQPr\
idx = r<=1; ~5b^Gvb?
z = nan(size(X)); H)O I&?
z(idx) = zernfun(a,b,r(idx),theta(idx)); 6'1m3<G_
figure(1) /%w3(e
pcolor(x,x,z), shading interp n|f Huv
axis square, colorbar *.F4?i2D
xlabel('X'); *b+~@o
ylabel('Y'); M[7$cfp-Y~
title(['Zernike function Z^a_b','(r,\theta)']) `E2HQA@
figure(2) Ow4H7sl
mesh(x,x,z) % /Y;
xlabel('X'); MF/@Efjn
]
ylabel('Y'); ky-9I<Z,,
title(['Zernike function Z^a_b','(r,\theta)'])