采用matlab编程,其主函数如下,可以模拟各阶的zernike多项式: ) 0|X];sD
%Display the Zernike function Z(n=5,m=1) |,WP)
clc nn{PhyK
clear R}HNi(%"
a=5;%%%%%%%%%%Z的阶数下标 tY!GJusd
b=1;%%%%%%%%%%Z的阶数的上标 oS#PBql4
x = -1:0.01:1; raB',Vp
[X,Y] = meshgrid(x,x); e&ci\x%
[theta,r] = cart2pol(X,Y); Q;0g
idx = r<=1; fW3NH7aUG
z = nan(size(X)); @Avve8S
z(idx) = zernfun(a,b,r(idx),theta(idx)); P8n |MN
figure(1) KU*XRZu)
pcolor(x,x,z), shading interp lkaWwjv_D
axis square, colorbar ,HtXD~N
xlabel('X'); -^&NwLEv=
ylabel('Y'); cOvdC4
title(['Zernike function Z^a_b','(r,\theta)']) aP/Ff%5T
figure(2) i{4J$KT
mesh(x,x,z) t lpTq\;
xlabel('X'); ?[c{pb,|
ylabel('Y'); ,<!v!~Iy
title(['Zernike function Z^a_b','(r,\theta)'])