采用matlab编程，其主函数如下，可以模拟各阶的zernike多项式： 4F0w+w JD
%Display the Zernike function Z(n=5,m=1) W2h4ej\s
clc pY3/AO=
clear \v\ONp"
a=5;%%%%%%%%%%Z的阶数下标 T,uF^%$@AQ
b=1;%%%%%%%%%%Z的阶数的上标 %mU$]^Tw(
x = -1:0.01:1; 2-N7%] h
[X,Y] = meshgrid(x,x); n 3&h1-
[theta,r] = cart2pol(X,Y); hCF_pt+
idx = r<=1; T ,!CDm$=
z = nan(size(X)); *{k{
z(idx) = zernfun(a,b,r(idx),theta(idx)); ss }-YnG
figure(1) Qt{V&Z7
pcolor(x,x,z), shading interp Qbjm,>H/^
axis square, colorbar Z:>3AJuS_
xlabel('X'); Qjnh;uBO
ylabel('Y'); NF4(+E9g
title(['Zernike function Z^a_b','(r,\theta)']) xoj,> [7 D
figure(2) eFS$ ;3FP1
mesh(x,x,z) 0-{E% k
xlabel('X'); zDtC]y'
ylabel('Y'); xg^%8Ls^
title(['Zernike function Z^a_b','(r,\theta)'])
