采用matlab编程，其主函数如下，可以模拟各阶的zernike多项式： 2?9SM@nAY
%Display the Zernike function Z(n=5,m=1) \WnI&nu
clc SG{> t* E
clear ",c(cYVW
a=5;%%%%%%%%%%Z的阶数下标 1{8SKfMdP
b=1;%%%%%%%%%%Z的阶数的上标 f<V#Yc(U }
x = -1:0.01:1; 8 T:|~%Sw
[X,Y] = meshgrid(x,x); ,&;#$ b5
[theta,r] = cart2pol(X,Y); ]F5qXF5
idx = r<=1; a+TlZE>8
z = nan(size(X)); 8v},&rhPQq
z(idx) = zernfun(a,b,r(idx),theta(idx)); <wt#m`Za
figure(1) 8Q&hhmOnz
pcolor(x,x,z), shading interp v(? ^#C>6W
axis square, colorbar U}55;4^ LX
xlabel('X'); ] E1aIt
ylabel('Y'); <Q06<{]R8
title(['Zernike function Z^a_b','(r,\theta)']) uM\(# jZ
figure(2) R$<LEwjSw
mesh(x,x,z) #- ioLt%
xlabel('X'); ZqHh$QBD
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ylabel('Y'); sglYT!O
title(['Zernike function Z^a_b','(r,\theta)'])
