采用matlab编程，其主函数如下，可以模拟各阶的zernike多项式： xS tsw5d
%Display the Zernike function Z(n=5,m=1) bUm %#a
clc .=J- !{z
clear D^6iQW+.P
a=5;%%%%%%%%%%Z的阶数下标 UtTlJb{-j
b=1;%%%%%%%%%%Z的阶数的上标 2SC-c `9)
x = -1:0.01:1; 5)T[ha77u
[X,Y] = meshgrid(x,x); |~
fI=1;;x
[theta,r] = cart2pol(X,Y); heou\;GI"
idx = r<=1; 9X 4[Zk
z = nan(size(X)); i SezrN
z(idx) = zernfun(a,b,r(idx),theta(idx)); E#:!&{O
figure(1) /Tm+&Jd
pcolor(x,x,z), shading interp AF"7 _
axis square, colorbar UzaAL9k
xlabel('X'); 4z( B`t~7
ylabel('Y'); 7:?\1 a
title(['Zernike function Z^a_b','(r,\theta)']) AaA!U!B
figure(2) Hq:: F?
mesh(x,x,z) dV38-IfGkl
xlabel('X'); OS@uGp=
ylabel('Y'); : Q("
title(['Zernike function Z^a_b','(r,\theta)'])
