采用matlab编程，其主函数如下，可以模拟各阶的zernike多项式： 3>^]r jFw
%Display the Zernike function Z(n=5,m=1) ,dR.Sac v
clc W#~7X
clear 5{oc
a=5;%%%%%%%%%%Z的阶数下标 >h)kbsSU0z
b=1;%%%%%%%%%%Z的阶数的上标 :;.^r,QAI
x = -1:0.01:1; nH&z4-1Y?
[X,Y] = meshgrid(x,x); Yj1|]i5b
[theta,r] = cart2pol(X,Y); z4Zm%
idx = r<=1; @;` 's
z = nan(size(X)); "WuUMt
z(idx) = zernfun(a,b,r(idx),theta(idx)); \Q(a`6U
figure(1) a`n)aXU l
pcolor(x,x,z), shading interp +T@ BOYhgq
axis square, colorbar e}1Q+h\
xlabel('X');
R%RxF=@
ylabel('Y'); %L* EB;nK
title(['Zernike function Z^a_b','(r,\theta)']) 9Z!n!o7D
figure(2) sWte&
mesh(x,x,z) =~h b&
xlabel('X'); 0 ( wu
ylabel('Y'); /]3[|
title(['Zernike function Z^a_b','(r,\theta)'])
