采用matlab编程，其主函数如下，可以模拟各阶的zernike多项式： 1@s^$fvW
%Display the Zernike function Z(n=5,m=1) x*k65WO\
clc ,OFq'}q
clear 9 #.<E5:
a=5;%%%%%%%%%%Z的阶数下标 MJpP!a^Q
b=1;%%%%%%%%%%Z的阶数的上标 QGu7D #%|
x = -1:0.01:1; c4S>_qH
[X,Y] = meshgrid(x,x); #xD&z^o
[theta,r] = cart2pol(X,Y); [+Yl;3 &]
idx = r<=1; 8-W"4)@b
z = nan(size(X)); $ $W{HsX
z(idx) = zernfun(a,b,r(idx),theta(idx)); 7Q <Kh a
figure(1) #%9oQ6nO
pcolor(x,x,z), shading interp :4Id7Ce
axis square, colorbar ?nj"Ptzs
xlabel('X'); %D`^
ylabel('Y'); w i![0IE )
title(['Zernike function Z^a_b','(r,\theta)']) iDyMWlV
figure(2)
&
bp#1KR)
mesh(x,x,z) \a9D[wk;@
xlabel('X'); 8N</Yi|n
ylabel('Y'); >;T$#LZ
title(['Zernike function Z^a_b','(r,\theta)'])
