采用matlab编程，其主函数如下，可以模拟各阶的zernike多项式： &s~b1Va
%Display the Zernike function Z(n=5,m=1) /I~(*X
clc )u> /:
clear pT<}n 9yB5
a=5;%%%%%%%%%%Z的阶数下标 YF$n L(
b=1;%%%%%%%%%%Z的阶数的上标 j}aU*p~N
x = -1:0.01:1; +2JC**)I
[X,Y] = meshgrid(x,x); W%P$$x5&
[theta,r] = cart2pol(X,Y); %T,cR>lw
idx = r<=1; Lgr py
z = nan(size(X)); 5c 6 9M5
z(idx) = zernfun(a,b,r(idx),theta(idx)); /D,<2>o
figure(1) ZRn!z`. 0
pcolor(x,x,z), shading interp PM8*/4Cu.5
axis square, colorbar |0$7{nQ
xlabel('X'); 9 D{p^hd
ylabel('Y'); 5-! Zm]
title(['Zernike function Z^a_b','(r,\theta)']) d 6=Z=4w
figure(2) n _eN|m?@
mesh(x,x,z) [W Ud9fUL
xlabel('X'); Q60 '5Wt
ylabel('Y'); 'tJ@+(tqw
title(['Zernike function Z^a_b','(r,\theta)'])
