采用matlab编程,其主函数如下,可以模拟各阶的zernike多项式: u$T`Bn
%Display the Zernike function Z(n=5,m=1) '2`MT-
clc OGmOk>_
clear <hG=0Zc r
a=5;%%%%%%%%%%Z的阶数下标 2^-Z17Z}
b=1;%%%%%%%%%%Z的阶数的上标 p7.j>w1F
x = -1:0.01:1;
5p9zl=mT
[X,Y] = meshgrid(x,x); 8Lm}x_
[theta,r] = cart2pol(X,Y); uc6;%=%+
idx = r<=1; V0'T)
z = nan(size(X)); e_Cns&
z(idx) = zernfun(a,b,r(idx),theta(idx)); rL+K Sb
figure(1) VlGg?
pcolor(x,x,z), shading interp hg8gB8Xq
axis square, colorbar Z<j(ZVO
xlabel('X'); fC!]M hA"i
ylabel('Y'); O0`k6$=6r
title(['Zernike function Z^a_b','(r,\theta)']) RI,Z&kXj2o
figure(2) P38D-fLq
mesh(x,x,z) qEd!g,Sx
xlabel('X'); C[cNwvz
ylabel('Y'); l}|KkW\y
title(['Zernike function Z^a_b','(r,\theta)'])