采用matlab编程，其主函数如下，可以模拟各阶的zernike多项式： +dK;\wT
%Display the Zernike function Z(n=5,m=1) )u5+<OG}=
clc 'uF"O"*
clear 4kf8Am(
a=5;%%%%%%%%%%Z的阶数下标 p GSS
b=1;%%%%%%%%%%Z的阶数的上标 O<qo%fP
x = -1:0.01:1; ?{-y? %y
[X,Y] = meshgrid(x,x); GMoE,L
[theta,r] = cart2pol(X,Y); G9a6 $K)b
idx = r<=1; }JBLzk5|
z = nan(size(X)); d} ]jw4
z(idx) = zernfun(a,b,r(idx),theta(idx)); t>( }LV.
figure(1) | D,->k
pcolor(x,x,z), shading interp =(>pv,
axis square, colorbar ]kyGm2Ty9
xlabel('X'); 2z0 27P-Q
ylabel('Y'); p EbyQ[
title(['Zernike function Z^a_b','(r,\theta)']) ."JtR
figure(2) 6J%yo[A(w
mesh(x,x,z) CN<EgNt1kN
xlabel('X'); =G%L:m*
ylabel('Y'); 5Qgh \ 4
title(['Zernike function Z^a_b','(r,\theta)'])
