采用matlab编程,其主函数如下,可以模拟各阶的zernike多项式: >H!Mx_fDL
%Display the Zernike function Z(n=5,m=1) vRmn61
clc 6!ve6ZB[p
clear pn
gto
a=5;%%%%%%%%%%Z的阶数下标 o@Oz
a
b=1;%%%%%%%%%%Z的阶数的上标 L^3&
x = -1:0.01:1; 2gPqB*H
[X,Y] = meshgrid(x,x); qW0:q.
[theta,r] = cart2pol(X,Y); En?V\|,
idx = r<=1; ttzNv>L,
z = nan(size(X)); l%0bF9\
z(idx) = zernfun(a,b,r(idx),theta(idx)); w +t@G`d
figure(1) XH"+oW
pcolor(x,x,z), shading interp GQqGrUQ*}
axis square, colorbar * x/!i^
xlabel('X'); <+i(CGw
ylabel('Y'); -{cHp
title(['Zernike function Z^a_b','(r,\theta)']) i2~uhGJ
figure(2) 0=j }`
mesh(x,x,z) &riGzU]
xlabel('X'); _rT\?//B
ylabel('Y'); %9J@##+
title(['Zernike function Z^a_b','(r,\theta)'])