采用matlab编程，其主函数如下，可以模拟各阶的zernike多项式： Tzn tO9P+
%Display the Zernike function Z(n=5,m=1) v k?skN@
clc '2laTl]`
clear a?6a b+7#
a=5;%%%%%%%%%%Z的阶数下标 [ e8x&{L-_
b=1;%%%%%%%%%%Z的阶数的上标 \ig mv]G%
x = -1:0.01:1; gt ";2,;X
[X,Y] = meshgrid(x,x); *0}3t <5
[theta,r] = cart2pol(X,Y); Cxcr/9
idx = r<=1; /MF! GM
z = nan(size(X)); (&P9+Tl
z(idx) = zernfun(a,b,r(idx),theta(idx)); 8-lOB
figure(1) 4<?8M vF
pcolor(x,x,z), shading interp x&`~R>5/
axis square, colorbar ~j#]tEl b
xlabel('X'); V %_4%
ylabel('Y'); z)xSN;x
title(['Zernike function Z^a_b','(r,\theta)']) ? B E6
figure(2) "F}'~HWZp
mesh(x,x,z) v 0kqu
xlabel('X'); 4W N3=B
ylabel('Y'); _9?I A
title(['Zernike function Z^a_b','(r,\theta)'])
