采用matlab编程，其主函数如下，可以模拟各阶的zernike多项式： 0vQ@n 7
%Display the Zernike function Z(n=5,m=1) [{ K$sd
clc nORm7sa9
clear Xgn^ )+V:
a=5;%%%%%%%%%%Z的阶数下标 Ex^7`-2,B
b=1;%%%%%%%%%%Z的阶数的上标 Q?L-6]pg
x = -1:0.01:1; Ui@ Q&%b
[X,Y] = meshgrid(x,x); ;VeC(^-eh6
[theta,r] = cart2pol(X,Y); |L.QIr,jCC
idx = r<=1; x,@ cU}D
z = nan(size(X)); Q9q:HGXxv
z(idx) = zernfun(a,b,r(idx),theta(idx)); )}9Ef"v|
figure(1) <`9Q{~*=t
pcolor(x,x,z), shading interp ~A}"s-Kq5
axis square, colorbar %L:e~*
xlabel('X'); |0ACapp!
ylabel('Y'); 'D-eFJ5
title(['Zernike function Z^a_b','(r,\theta)']) {1'X S,2
figure(2) YU9xAN i6
mesh(x,x,z) y+_G L= J
xlabel('X'); &`0y<0z
ylabel('Y'); 9(QY~F
title(['Zernike function Z^a_b','(r,\theta)'])
