采用matlab编程，其主函数如下，可以模拟各阶的zernike多项式： `e|Lw
%Display the Zernike function Z(n=5,m=1) !Jn w_ )
clc ER0#$yFpM
clear Wc>)/y5$
a=5;%%%%%%%%%%Z的阶数下标 mg /kyua^
b=1;%%%%%%%%%%Z的阶数的上标 Y8{1?LO
x = -1:0.01:1; o (NyOC
[X,Y] = meshgrid(x,x); ?s} E<Kr
[theta,r] = cart2pol(X,Y); $uB(@Ft.
idx = r<=1; wO)KQ~ yX
z = nan(size(X)); (jFE{M$-
z(idx) = zernfun(a,b,r(idx),theta(idx)); ^Es)?>eah
figure(1) BQ0PV
pcolor(x,x,z), shading interp 2e@\6l,!^
axis square, colorbar (w
B[ ]O$@
xlabel('X'); #%tL8/K*
ylabel('Y'); o`! :Q!+
title(['Zernike function Z^a_b','(r,\theta)']) L([ >yQZ
figure(2) A1$'[8U~3
mesh(x,x,z) rL3Vogw'e
xlabel('X'); %GiO 1:t
ylabel('Y'); =U`c
}dhS
title(['Zernike function Z^a_b','(r,\theta)'])
