采用matlab编程，其主函数如下，可以模拟各阶的zernike多项式： 3e(ehLc4DJ
%Display the Zernike function Z(n=5,m=1) O(+phRwJ
clc 5R i6Z#qm
clear hs}8xl
a=5;%%%%%%%%%%Z的阶数下标 n u'M
39{
b=1;%%%%%%%%%%Z的阶数的上标 qhT@;W/X
x = -1:0.01:1; Zh _|m#)
[X,Y] = meshgrid(x,x); R'S0 zp6
[theta,r] = cart2pol(X,Y); 271&i
idx = r<=1; -!c"k}N=
z = nan(size(X)); qIld;v8w"g
z(idx) = zernfun(a,b,r(idx),theta(idx)); T0&f8
figure(1) 26xXl|I
pcolor(x,x,z), shading interp i86 >]
axis square, colorbar [,TkFbDq"J
xlabel('X'); {J^lX/D
ylabel('Y'); I_A@BnM{I
title(['Zernike function Z^a_b','(r,\theta)']) -&<Whhs.@
figure(2) n 5{Xj: }
mesh(x,x,z) 6 ~ >FYX
xlabel('X'); Br ` IW
ylabel('Y'); }fKS qB]T-
title(['Zernike function Z^a_b','(r,\theta)'])
