采用matlab编程，其主函数如下，可以模拟各阶的zernike多项式： t04 _~e
%Display the Zernike function Z(n=5,m=1) KO ~_
clc >3v
j<v}m
clear [lmghI !
a=5;%%%%%%%%%%Z的阶数下标 Uzx,aYo X
b=1;%%%%%%%%%%Z的阶数的上标 'DDlX3W-
x = -1:0.01:1; #2XX [d%
[X,Y] = meshgrid(x,x); &T i:IC %M
[theta,r] = cart2pol(X,Y); WFYbmfmV
idx = r<=1; lh N2xg5x
z = nan(size(X)); ^E)*i#."4
z(idx) = zernfun(a,b,r(idx),theta(idx)); - s}
figure(1) ^ |xSU_wa
pcolor(x,x,z), shading interp a&?SRC'x
axis square, colorbar Q^| ZoJS
xlabel('X'); 91Fx0(
ylabel('Y'); ) Ekd
title(['Zernike function Z^a_b','(r,\theta)']) g ss 3e&
figure(2) 3[RP:W@%
mesh(x,x,z) uVQH,NA,
xlabel('X'); 9}=]oX!+V
ylabel('Y'); (iT?uMRz
title(['Zernike function Z^a_b','(r,\theta)'])
