采用matlab编程，其主函数如下，可以模拟各阶的zernike多项式： Y%(8'Ch
%Display the Zernike function Z(n=5,m=1) jPc,+?
clc j:^gmZ;J
clear 5 OAb6k'
a=5;%%%%%%%%%%Z的阶数下标 @j(2tJ,w
b=1;%%%%%%%%%%Z的阶数的上标 G6\`Iy68/v
x = -1:0.01:1; oGt 2n:
[X,Y] = meshgrid(x,x); F "'
(i
[theta,r] = cart2pol(X,Y); `C^0YGO%
idx = r<=1; 7WNUHLEt
z = nan(size(X)); I(/*pa?m{
z(idx) = zernfun(a,b,r(idx),theta(idx)); 3A! |M5
figure(1) q$<VLrx
pcolor(x,x,z), shading interp _X{ GZJm
axis square, colorbar (7 ??5gjh
xlabel('X'); od&wfwk(
ylabel('Y'); 6r h#ATep
title(['Zernike function Z^a_b','(r,\theta)']) +7y#c20
figure(2) L /N%ft]!T
mesh(x,x,z) @ykl:K% ke
xlabel('X'); &hM7y7
ylabel('Y'); `j 4>
title(['Zernike function Z^a_b','(r,\theta)'])
