采用matlab编程，其主函数如下，可以模拟各阶的zernike多项式： O5%F-}(:
%Display the Zernike function Z(n=5,m=1) <W^~Y31:0
clc x T>V ;aa\
clear bFXCaD!{G
a=5;%%%%%%%%%%Z的阶数下标 Di=6.gm[<
b=1;%%%%%%%%%%Z的阶数的上标 TrA Uu`?#
x = -1:0.01:1; y>1 8)8
[X,Y] = meshgrid(x,x); n_2 LkW<?
[theta,r] = cart2pol(X,Y); <v^.FxId
idx = r<=1; >Cc$ P
z = nan(size(X)); .8~ x;P6
z(idx) = zernfun(a,b,r(idx),theta(idx)); 9 9-\cQv
figure(1) 39e oL;O_
pcolor(x,x,z), shading interp 4"=pcHNV
axis square, colorbar B
~GyS"
xlabel('X'); 4D $E
ylabel('Y'); Vi-@z;k
title(['Zernike function Z^a_b','(r,\theta)']) 8Qy |;T}
figure(2) <[~M|OL9q,
mesh(x,x,z) 9V!K. _Cb
xlabel('X');
fE}}>
ylabel('Y'); QKQy)g
title(['Zernike function Z^a_b','(r,\theta)'])
