采用matlab编程，其主函数如下，可以模拟各阶的zernike多项式： *<UQ/)\
%Display the Zernike function Z(n=5,m=1) lDH0bBmd0
clc X=JSqO6V9
clear m$ o|s1t
a=5;%%%%%%%%%%Z的阶数下标 wF% XM _M
b=1;%%%%%%%%%%Z的阶数的上标 e"b F" L
x = -1:0.01:1; \<P W_'6
[X,Y] = meshgrid(x,x); 8'?e4;O
[theta,r] = cart2pol(X,Y); ~E!"YkIr
idx = r<=1; )~5`A*Ku
z = nan(size(X)); E`X+fJx
z(idx) = zernfun(a,b,r(idx),theta(idx)); :?S2s Ne2
figure(1) *L ^{p.K4
pcolor(x,x,z), shading interp I8[G!u71)_
axis square, colorbar :4WwCpgz,
xlabel('X'); \Lc
pl-;?
ylabel('Y'); X+*| nvq]
title(['Zernike function Z^a_b','(r,\theta)']) We9mkwK7C
figure(2) 1xx-}AIH#
mesh(x,x,z) RJWlG'i
xlabel('X'); o`#;[
ylabel('Y'); "16==tLFE
title(['Zernike function Z^a_b','(r,\theta)'])
