采用matlab编程，其主函数如下，可以模拟各阶的zernike多项式： y@ . b
4
%Display the Zernike function Z(n=5,m=1) ?Cc :)
clc {*fUJmao"
clear
uMpl#N p
a=5;%%%%%%%%%%Z的阶数下标 ArX]L$ D
b=1;%%%%%%%%%%Z的阶数的上标 xT=ySa$|>
x = -1:0.01:1; KBj@V6Q
[X,Y] = meshgrid(x,x); 0%H24N
9.
[theta,r] = cart2pol(X,Y); |0]YA
idx = r<=1; hXTYTbTX
z = nan(size(X)); GGM5m |4
z(idx) = zernfun(a,b,r(idx),theta(idx)); zzE ]M}s
figure(1) 8})|^%@n
pcolor(x,x,z), shading interp oX {@'B
axis square, colorbar `#p< rfe
xlabel('X');
I1i:}g/
ylabel('Y'); pJ6Jx(
title(['Zernike function Z^a_b','(r,\theta)']) MYu`c[$jZ
figure(2) {83C,C-
mesh(x,x,z) $>![wZ3
xlabel('X'); jJ<;2e~OW
ylabel('Y'); G g(NGT
title(['Zernike function Z^a_b','(r,\theta)'])
