采用matlab编程，其主函数如下，可以模拟各阶的zernike多项式： m[l[yUw#
%Display the Zernike function Z(n=5,m=1) 9UbD =}W
clc 9:[L
WT&
clear Q:rQ;/b0/
a=5;%%%%%%%%%%Z的阶数下标 Tw`n 3y?
b=1;%%%%%%%%%%Z的阶数的上标 LHJ}I5zv
x = -1:0.01:1; [yFf(>B
[X,Y] = meshgrid(x,x); p0r:U< &
[theta,r] = cart2pol(X,Y); ~6bf-Wg'X
idx = r<=1; yxz)32B?
z = nan(size(X)); <d`ksZ+
z(idx) = zernfun(a,b,r(idx),theta(idx)); IZw> !KYG
figure(1) A.[~}ywH
pcolor(x,x,z), shading interp [9c|!w^F
axis square, colorbar 108cf~2&
xlabel('X'); ] x12_+
ylabel('Y'); Wjf,AjL\
title(['Zernike function Z^a_b','(r,\theta)']) 6!& DH#M
figure(2) V1h&{ D\"
mesh(x,x,z) 3]z%C'
xlabel('X'); T ?HG}(2
ylabel('Y'); *{K?JB#W
title(['Zernike function Z^a_b','(r,\theta)'])
