采用matlab编程,其主函数如下,可以模拟各阶的zernike多项式: LXRIo2ynuw
%Display the Zernike function Z(n=5,m=1) 880T'5}S
:
clc G6X5`eLQ
clear -I~\
a=5;%%%%%%%%%%Z的阶数下标 C0&ZQvvy1:
b=1;%%%%%%%%%%Z的阶数的上标 X$_z"t
x = -1:0.01:1; =3GgfU5k
[X,Y] = meshgrid(x,x); d;).| .}P
[theta,r] = cart2pol(X,Y); Yb'%J@T}
idx = r<=1; |gfG\fL3V
z = nan(size(X)); +rKV*XX@
z(idx) = zernfun(a,b,r(idx),theta(idx)); YOY2K%o
figure(1) \CYKj_c
pcolor(x,x,z), shading interp q oz[x
axis square, colorbar SYgkYR
xlabel('X'); VzWH9%w
ylabel('Y'); mS+sh'VH
title(['Zernike function Z^a_b','(r,\theta)']) V :lKF')
figure(2) k
jx<;##R8
mesh(x,x,z) 6vg` 8
xlabel('X'); {7EpljH@
ylabel('Y'); Wyb+K)Tg
title(['Zernike function Z^a_b','(r,\theta)'])