采用matlab编程，其主函数如下，可以模拟各阶的zernike多项式： kYR ^
%Display the Zernike function Z(n=5,m=1) q Ll4t/p
clc mP?}h
clear 9#kk5 )J
a=5;%%%%%%%%%%Z的阶数下标 PfGiJ]:V-u
b=1;%%%%%%%%%%Z的阶数的上标 P/Y)Yx_(
x = -1:0.01:1; 9D;ono3
[X,Y] = meshgrid(x,x); ]cW Q9
[theta,r] = cart2pol(X,Y); MPYYTQ1FB
idx = r<=1; c5pK%I }O
z = nan(size(X)); d@zxgn7o
z(idx) = zernfun(a,b,r(idx),theta(idx)); {\|XuCF#
figure(1) '2rSX[$ tf
pcolor(x,x,z), shading interp n#B}p*G
axis square, colorbar V}Oz!
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xlabel('X'); *z0 R f;
ylabel('Y'); 6z'0fi|EN
title(['Zernike function Z^a_b','(r,\theta)']) WcpH= "vm
figure(2) rd "!&i
mesh(x,x,z) ++ObsWZ
xlabel('X'); w{]B)>! 1W
ylabel('Y'); Z Z c^~
title(['Zernike function Z^a_b','(r,\theta)'])
