采用matlab编程,其主函数如下,可以模拟各阶的zernike多项式: l*yJU3PW
%Display the Zernike function Z(n=5,m=1) cB7=4:U
clc 8aD4wc
clear O-vvFl#4
a=5;%%%%%%%%%%Z的阶数下标 5lC "10
b=1;%%%%%%%%%%Z的阶数的上标 s&$Zgf6Z
x = -1:0.01:1; Mzx y'UV
[X,Y] = meshgrid(x,x); 5fBW#6N/
[theta,r] = cart2pol(X,Y); -pR1xsG
idx = r<=1; x3my8'h@
z = nan(size(X)); +x0-hRD
z(idx) = zernfun(a,b,r(idx),theta(idx)); Y&5h_3K;<
figure(1) .HG0%Vp
pcolor(x,x,z), shading interp l$Y7CIH
axis square, colorbar `7|v
xlabel('X'); KyAQzN 9
ylabel('Y'); ZUMzWK5Th
title(['Zernike function Z^a_b','(r,\theta)']) L+s,,k
figure(2) X Jy]d/
mesh(x,x,z) LE!3'^Zq
xlabel('X'); TlZ|E '_C
ylabel('Y'); .)mw~ 3]
title(['Zernike function Z^a_b','(r,\theta)'])