采用matlab编程，其主函数如下，可以模拟各阶的zernike多项式： H.:9:I[n
%Display the Zernike function Z(n=5,m=1) >rKhlUD
clc D3y>iQd
clear TFO74^
a=5;%%%%%%%%%%Z的阶数下标 %VWp&a8
b=1;%%%%%%%%%%Z的阶数的上标 x@Y|v@}BE
x = -1:0.01:1; /u= aX
[X,Y] = meshgrid(x,x); Rs2-94$!5
[theta,r] = cart2pol(X,Y); y`rL=N#
idx = r<=1; mf}\s]_c
z = nan(size(X)); G.Tpl-m
z(idx) = zernfun(a,b,r(idx),theta(idx)); ;Z* 'D}
figure(1) [m\,+lG?)j
pcolor(x,x,z), shading interp `_GO=QQ
axis square, colorbar DcN"=Y
xlabel('X'); e8{^f] 5
ylabel('Y'); '*4iqP R;
title(['Zernike function Z^a_b','(r,\theta)']) p5-<P?B
figure(2) Qwv '<
mesh(x,x,z) &U&Zo@ot"x
xlabel('X'); 6}ftB mv
ylabel('Y'); x9%-pl P
title(['Zernike function Z^a_b','(r,\theta)'])
