采用matlab编程,其主函数如下,可以模拟各阶的zernike多项式: kvs^*X''Ep
%Display the Zernike function Z(n=5,m=1) ~k+"!'1
clc b)@%gS\F
clear KquHc-fzqr
a=5;%%%%%%%%%%Z的阶数下标 kXS_:f;M
b=1;%%%%%%%%%%Z的阶数的上标 jEfrxlj
x = -1:0.01:1; pc&/'zb
[X,Y] = meshgrid(x,x); aNb=gjLpt
[theta,r] = cart2pol(X,Y); Ixm<wKwW#
idx = r<=1; LNml["
z = nan(size(X)); (8o~ XL
z(idx) = zernfun(a,b,r(idx),theta(idx)); CYrVP%xRA
figure(1) k: PO"<-U
pcolor(x,x,z), shading interp !o~% F5|t
axis square, colorbar Acr\2!))
xlabel('X'); 9,Zg'4",d
ylabel('Y'); PCnE-$QH
title(['Zernike function Z^a_b','(r,\theta)']) W"4E0!r
figure(2) QQPbKok>
mesh(x,x,z) rz+G]J
xlabel('X'); %@q52ZQ
ylabel('Y'); YIb5jK`
title(['Zernike function Z^a_b','(r,\theta)'])