采用matlab编程，其主函数如下，可以模拟各阶的zernike多项式： ~:*V'/2k
%Display the Zernike function Z(n=5,m=1) l QxEiDIL
clc =3PZG dWD
clear qe/5' dw
a=5;%%%%%%%%%%Z的阶数下标 N' 0nt]&a
b=1;%%%%%%%%%%Z的阶数的上标 N{<5)L~Y
x = -1:0.01:1; $."F z
x
[X,Y] = meshgrid(x,x); E:;MI{;7
[theta,r] = cart2pol(X,Y); AoY!f'Z
idx = r<=1; !&5|:96o
z = nan(size(X)); [AYJ(H/
z(idx) = zernfun(a,b,r(idx),theta(idx)); Gp=V%w\FDW
figure(1) 5 BeU/
pcolor(x,x,z), shading interp 9 2~$Qa\S!
axis square, colorbar GK1P7Qy?V
xlabel('X'); n`! 6EaD
ylabel('Y'); Wu/:ES)C
title(['Zernike function Z^a_b','(r,\theta)']) j +e
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figure(2) nI] zRd uC
mesh(x,x,z) J!">L+Zcx
xlabel('X'); nELY( z
ylabel('Y'); >
w SI0N
title(['Zernike function Z^a_b','(r,\theta)'])
