采用matlab编程，其主函数如下，可以模拟各阶的zernike多项式： H 1kI+YJ@
%Display the Zernike function Z(n=5,m=1) +ausm!~6
clc [_)`G*X(N
clear Z?'CS|u d
a=5;%%%%%%%%%%Z的阶数下标 bN.
G%1
b=1;%%%%%%%%%%Z的阶数的上标 ^~[7])}g6
x = -1:0.01:1; 5Z!$?J4Rl
[X,Y] = meshgrid(x,x); 0#J~ @1Gf
[theta,r] = cart2pol(X,Y); cRnDAn#42
idx = r<=1; FQ<x(&/NF
z = nan(size(X)); )- 3~^Y#r_
z(idx) = zernfun(a,b,r(idx),theta(idx)); ~{ Iw[,MJ
figure(1) 7y|U!r"Y
pcolor(x,x,z), shading interp L K #A
axis square, colorbar kuH%aM<R
xlabel('X'); gLv+L]BnhH
ylabel('Y'); ju m"T\
title(['Zernike function Z^a_b','(r,\theta)']) ]AY 4bm
figure(2) zVS{ X= u
mesh(x,x,z) ydzsJ+dx
xlabel('X'); S!8<|WO^t
ylabel('Y'); CqnHh@]nu
title(['Zernike function Z^a_b','(r,\theta)'])
