采用matlab编程，其主函数如下，可以模拟各阶的zernike多项式： 3 .)_uo0;o
%Display the Zernike function Z(n=5,m=1) ci7~Ke wJ*
clc ?@a$!_
clear ||a`fH
a=5;%%%%%%%%%%Z的阶数下标 |h1^G v
b=1;%%%%%%%%%%Z的阶数的上标 y< r44a_!
x = -1:0.01:1; v _-ls"l
[X,Y] = meshgrid(x,x); 5X ;?I/9
[theta,r] = cart2pol(X,Y); ",ad7Y7i
idx = r<=1; }Z6nN)[|0Y
z = nan(size(X)); a R#Cot
z(idx) = zernfun(a,b,r(idx),theta(idx)); #v qz{R~nM
figure(1) fI[dh d6
pcolor(x,x,z), shading interp $i&\\QNn
axis square, colorbar 70<K .T<b
xlabel('X'); 3 Vu8F"
ylabel('Y'); ,i OZ |
title(['Zernike function Z^a_b','(r,\theta)']) G4yUC<TqBP
figure(2) Orc>.~+f%A
mesh(x,x,z) &9 h
xlabel('X'); Ao!=um5D J
ylabel('Y'); )tPl<lb
title(['Zernike function Z^a_b','(r,\theta)'])
