采用matlab编程，其主函数如下，可以模拟各阶的zernike多项式： Z'W =\rl
%Display the Zernike function Z(n=5,m=1) =.U[$~3q%
clc EIAc@$4
clear ^4hO
a=5;%%%%%%%%%%Z的阶数下标 t!X. |`h
b=1;%%%%%%%%%%Z的阶数的上标 Rz/gtEP
x = -1:0.01:1; %y[h5 *y*
[X,Y] = meshgrid(x,x); hJ? O],4J
[theta,r] = cart2pol(X,Y); XS{Qnx_#
idx = r<=1; TnA-;Ha
z = nan(size(X)); ,0Hr2*p
z(idx) = zernfun(a,b,r(idx),theta(idx)); 6=/F$|
figure(1) fc3{sZE2M
pcolor(x,x,z), shading interp IGQFtO/x
axis square, colorbar 7`Ak) F: V
xlabel('X'); rJT a
ylabel('Y'); o4,6. 1}
title(['Zernike function Z^a_b','(r,\theta)']) M `M5'f
figure(2) 1{. |+S Z!
mesh(x,x,z) EjR9JUu
xlabel('X'); n\D&!y[]F
ylabel('Y'); T!kN)#S
title(['Zernike function Z^a_b','(r,\theta)'])
