采用matlab编程，其主函数如下，可以模拟各阶的zernike多项式： WvJ:yUb2
%Display the Zernike function Z(n=5,m=1) K n1; =k
clc uQn1kI[y
clear ({C[RsY=6
a=5;%%%%%%%%%%Z的阶数下标 ?yj g\S?L
b=1;%%%%%%%%%%Z的阶数的上标 ohx$ ;j
x = -1:0.01:1; @J 5TDq @
[X,Y] = meshgrid(x,x); # }}6JM
[theta,r] = cart2pol(X,Y); Dzu//_u
idx = r<=1; VK*`&D<P
z = nan(size(X)); GXD<X_[
z(idx) = zernfun(a,b,r(idx),theta(idx)); Tq )h AZ
figure(1) <Fx%P:d
pcolor(x,x,z), shading interp +2eri_p
axis square, colorbar Nr XIaN
xlabel('X'); \ILNx^$EL
ylabel('Y'); GT] >
title(['Zernike function Z^a_b','(r,\theta)']) Ut'T!RD
figure(2) { ?jXPf
mesh(x,x,z) #W8?E_iu
xlabel('X'); V3cKdlu Na
ylabel('Y'); o^(I+ <el
title(['Zernike function Z^a_b','(r,\theta)'])
