采用matlab编程，其主函数如下，可以模拟各阶的zernike多项式： 4)8e0L*[B?
%Display the Zernike function Z(n=5,m=1) U1(cBY
clc `:C 2Cj
clear L6#4A3yh
a=5;%%%%%%%%%%Z的阶数下标 m41%?uC/
b=1;%%%%%%%%%%Z的阶数的上标 =dsEt\
j
x = -1:0.01:1; jz]}%O
[X,Y] = meshgrid(x,x); Lz!JLiMEET
[theta,r] = cart2pol(X,Y); #d06wYz=
idx = r<=1; ]s!id [j
z = nan(size(X)); dS\!tdHP-Q
z(idx) = zernfun(a,b,r(idx),theta(idx)); u:Ye`]~o
figure(1) c2Exga_
pcolor(x,x,z), shading interp o)>iHzR</
axis square, colorbar =z]rZSq*o
xlabel('X'); Nukyvse
ylabel('Y'); rxqSi0p
title(['Zernike function Z^a_b','(r,\theta)']) E-( $Xc
figure(2) S^;;\0#NK
mesh(x,x,z) Pd-LDs+Ga
xlabel('X'); R7K`9 c1f6
ylabel('Y'); $ 7W5smW/
title(['Zernike function Z^a_b','(r,\theta)'])
