采用matlab编程，其主函数如下，可以模拟各阶的zernike多项式： A2O_pbQti
%Display the Zernike function Z(n=5,m=1) J:-TINeB
clc E_gDwWot
clear RzY`^A6G6
a=5;%%%%%%%%%%Z的阶数下标 7^t(RNq
b=1;%%%%%%%%%%Z的阶数的上标 z:Zn.e*$b
x = -1:0.01:1; 7s fuju(
[X,Y] = meshgrid(x,x); }A'<?d8
[theta,r] = cart2pol(X,Y); U37?P7i's
idx = r<=1; M?4r 5R
z = nan(size(X)); ao" ; 5 m
z(idx) = zernfun(a,b,r(idx),theta(idx)); ]R0A{+]n
figure(1) [TfV2j* e
pcolor(x,x,z), shading interp
x V 1Z&l
axis square, colorbar Q"K >ML>0
xlabel('X'); 8$jT#\_
ylabel('Y'); uA/.4 b
title(['Zernike function Z^a_b','(r,\theta)']) I#hg(7|",
figure(2) (h >X:!
mesh(x,x,z) @Jn:!8U0
xlabel('X'); !9<RWNKV)Y
ylabel('Y'); < iprPk
title(['Zernike function Z^a_b','(r,\theta)'])
