采用matlab编程,其主函数如下,可以模拟各阶的zernike多项式: M.d{:&@`%
%Display the Zernike function Z(n=5,m=1) .'"+CKD.N
clc hS
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clear D2>EG~xWq
a=5;%%%%%%%%%%Z的阶数下标 g@nk0lQewj
b=1;%%%%%%%%%%Z的阶数的上标 [fR<#1Z
x = -1:0.01:1; c.&vWmLSGE
[X,Y] = meshgrid(x,x); Y!o@"Ct
[theta,r] = cart2pol(X,Y); V* fDvr0
idx = r<=1; ;'tsdsu}
z = nan(size(X)); I|9e4EX{y
z(idx) = zernfun(a,b,r(idx),theta(idx)); tq@<8?
figure(1) Um15@p;
pcolor(x,x,z), shading interp ffm19 B=
axis square, colorbar 4_t
aCK
xlabel('X'); FL/y{;
ylabel('Y'); ;=)CjC8)
title(['Zernike function Z^a_b','(r,\theta)']) Rl3KE)<
figure(2) %DPtK)X1
mesh(x,x,z) ]pb;q(?^
xlabel('X'); r-Z'
ylabel('Y'); N4fuV?E`
title(['Zernike function Z^a_b','(r,\theta)'])