采用matlab编程,其主函数如下,可以模拟各阶的zernike多项式: VSh&Y_%
%Display the Zernike function Z(n=5,m=1) BKgCuz:y
clc ?0qP6'nWx
clear .8;0O
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a=5;%%%%%%%%%%Z的阶数下标 cIrc@
b=1;%%%%%%%%%%Z的阶数的上标 dfZ`M^NU
x = -1:0.01:1; e{*yV#Wl
[X,Y] = meshgrid(x,x); wti
[theta,r] = cart2pol(X,Y); y!
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idx = r<=1; JC;&]S.
z = nan(size(X)); agQDd8 oX
z(idx) = zernfun(a,b,r(idx),theta(idx)); $ ?|;w,%I
figure(1) ,ne3uPRu7~
pcolor(x,x,z), shading interp uf"(b"N0
axis square, colorbar KleiX7
xlabel('X'); QbY@{"" `
ylabel('Y'); 8Dn~U:F/?
title(['Zernike function Z^a_b','(r,\theta)']) eo.B0NZsF
figure(2) wyXQP+9G
mesh(x,x,z) 'rA(+-.M;
xlabel('X'); xJA{Hws
ylabel('Y'); t 6lwKK
title(['Zernike function Z^a_b','(r,\theta)'])