采用matlab编程，其主函数如下，可以模拟各阶的zernike多项式： a~w l D.P
%Display the Zernike function Z(n=5,m=1) r68d\N`.
clc I'c
rH/z9
clear ?X nKK w\
a=5;%%%%%%%%%%Z的阶数下标 RCY}JH>}
b=1;%%%%%%%%%%Z的阶数的上标 Co^GsUJ
x = -1:0.01:1; Jl@YBzDfF
[X,Y] = meshgrid(x,x); KvNw'3Ua
[theta,r] = cart2pol(X,Y); _5H0<%\
idx = r<=1; +?ilTU
z = nan(size(X)); 'M=V{.8U
z(idx) = zernfun(a,b,r(idx),theta(idx)); AkA2/7<[
figure(1) R=<uf:ca
pcolor(x,x,z), shading interp tE]Y=x[Ux
axis square, colorbar UUR` m
xlabel('X'); B
j z@X
ylabel('Y'); 5uO.@0
title(['Zernike function Z^a_b','(r,\theta)']) VskdC?yIp
figure(2) 8Uoqj=5F
mesh(x,x,z) !Nx'4N`&l
xlabel('X'); Wq"^ {
ylabel('Y'); Y~ P*
!g
title(['Zernike function Z^a_b','(r,\theta)'])
