采用matlab编程，其主函数如下，可以模拟各阶的zernike多项式： .SdEhW15)
%Display the Zernike function Z(n=5,m=1) pTK|u! fs
clc #={L!"3?e
clear =#< hT
s
a=5;%%%%%%%%%%Z的阶数下标 <z|? C
b=1;%%%%%%%%%%Z的阶数的上标 %d9UW Q
x = -1:0.01:1; }x1mpPND
[X,Y] = meshgrid(x,x); #7U,kTj9
[theta,r] = cart2pol(X,Y); 3HA$k[%7P
idx = r<=1; m!:7ur:Y
z = nan(size(X)); (;a
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z(idx) = zernfun(a,b,r(idx),theta(idx)); 1h+!< c q
figure(1) [j0I}+@4H
pcolor(x,x,z), shading interp ~&~%q u
axis square, colorbar D.<CkD B
xlabel('X'); 0{Kl5>Z9M
ylabel('Y'); T}[W') [s
title(['Zernike function Z^a_b','(r,\theta)']) W &4`eB/4}
figure(2) _A)<"z0E
mesh(x,x,z) /)de`k"
xlabel('X'); *ftJ (
ylabel('Y'); E!VAA=
title(['Zernike function Z^a_b','(r,\theta)'])
