采用matlab編程，其主函數(shù)如下，可以模擬各階的zernike多項(xiàng)式： ;Z~.54Pf{d
%Display the Zernike function Z(n=5,m=1) V.[#$ip6:
clc <UL|%9 =~
clear h*LL(ow5
a=5;%%%%%%%%%%Z的階數(shù)下標(biāo) 5WN Z7cO
b=1;%%%%%%%%%%Z的階數(shù)的上標(biāo) *U^hwL
x = -1:0.01:1; a~TZ9yg+HL
[X,Y] = meshgrid(x,x); M HB]'
[theta,r] = cart2pol(X,Y); RL)3k8pk
idx = r<=1; ASU\O3%%
z = nan(size(X)); n^)9QQ
z(idx) = zernfun(a,b,r(idx),theta(idx)); _Cs}&Bic_
figure(1) -Dm.z16
pcolor(x,x,z), shading interp EK w\a
axis square, colorbar ,(=]6V
xlabel('X'); YfU#kvE'
ylabel('Y'); ?YykCJJ ~@
title(['Zernike function Z^a_b','(r,\theta)']) 0qUap*fvC
figure(2) ABDUp:
mesh(x,x,z) )t=u(:u]
xlabel('X'); L=FvLii.
ylabel('Y'); cb,sb^-
title(['Zernike function Z^a_b','(r,\theta)'])
