采用matlab编程,其主函数如下,可以模拟各阶的zernike多项式: c)17[9"
%Display the Zernike function Z(n=5,m=1) a8Z{-=)
clc M}9PicI?7
clear c nV2}U/\
a=5;%%%%%%%%%%Z的阶数下标 dxF)) Z
b=1;%%%%%%%%%%Z的阶数的上标 Qx77%L4
x = -1:0.01:1; <7J\8JR&=
[X,Y] = meshgrid(x,x); EBplr ,
[theta,r] = cart2pol(X,Y); FJ O-p
idx = r<=1; @86I|cY
z = nan(size(X)); B%KfB
VC
z(idx) = zernfun(a,b,r(idx),theta(idx)); ~
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figure(1) DgC;1U'
pcolor(x,x,z), shading interp mvGj
!'
axis square, colorbar /QVhT
xlabel('X'); /??nOVvt
ylabel('Y'); h, P#)^"
title(['Zernike function Z^a_b','(r,\theta)']) hdxq@%Vs
figure(2) x5W.
3*
mesh(x,x,z) qbQH1<yS<
xlabel('X'); (/Dr=D{ `
ylabel('Y'); k!sk\~>YO
title(['Zernike function Z^a_b','(r,\theta)'])