采用matlab编程，其主函数如下，可以模拟各阶的zernike多项式： m `B .3
%Display the Zernike function Z(n=5,m=1) 5lYzgt-oP
clc A>Y!d9]ti
clear 1Uf8ef1,
a=5;%%%%%%%%%%Z的阶数下标 o)SA^5
b=1;%%%%%%%%%%Z的阶数的上标 ?I}0[+)V
x = -1:0.01:1; Ps=<@,dks
[X,Y] = meshgrid(x,x); ,.-85isco
[theta,r] = cart2pol(X,Y); aX,ux9#
idx = r<=1; =X u(Js-
z = nan(size(X)); -$@4e|e%a
z(idx) = zernfun(a,b,r(idx),theta(idx)); OdHl)"#
figure(1) m[E#$JZtG
pcolor(x,x,z), shading interp eW.[M ?,
axis square, colorbar .p?kAf`
xlabel('X'); rwCjNky!
ylabel('Y'); y -
Ge"mY
title(['Zernike function Z^a_b','(r,\theta)']) DfX}^'#m+
figure(2) kp >AZVk
mesh(x,x,z) +8eW/Bs@2
xlabel('X'); ganXO5T$
ylabel('Y'); f3M~2jbv'p
title(['Zernike function Z^a_b','(r,\theta)'])
