采用matlab编程，其主函数如下，可以模拟各阶的zernike多项式： _6^ vxlF
%Display the Zernike function Z(n=5,m=1) /o+,
=7hY
clc QVn!60[lj
clear /$&~ 0pk
a=5;%%%%%%%%%%Z的阶数下标 '1=/G7g
b=1;%%%%%%%%%%Z的阶数的上标 `
n@[=l~
x = -1:0.01:1; L~I<y;x
[X,Y] = meshgrid(x,x); <s]K~ Vo
[theta,r] = cart2pol(X,Y); N;Hrc6nin^
idx = r<=1; Nz*qz"T
z = nan(size(X)); i*W8_C:S
z(idx) = zernfun(a,b,r(idx),theta(idx)); ^ylJ_lN&=1
figure(1) S;i^ucAF
pcolor(x,x,z), shading interp XrFyN(p
axis square, colorbar >^D"% Oj y
xlabel('X'); [)Xu60? Q
ylabel('Y'); 8[(c'rl|)|
title(['Zernike function Z^a_b','(r,\theta)']) RvYew!n
figure(2) 2s?j5 Sd
mesh(x,x,z) %zb7M%dC6`
xlabel('X'); =qCVy: RL4
ylabel('Y'); nH NMoA
title(['Zernike function Z^a_b','(r,\theta)'])
