采用matlab编程，其主函数如下，可以模拟各阶的zernike多项式： z)"7qqA
%Display the Zernike function Z(n=5,m=1) Y, K): ~ T
clc & P{
clear %\#s@8=2u
a=5;%%%%%%%%%%Z的阶数下标 ;m $F~!Y
b=1;%%%%%%%%%%Z的阶数的上标 T677d.zaT
x = -1:0.01:1; ;Vc@]6Ck
[X,Y] = meshgrid(x,x); T5_z^ 7d
[theta,r] = cart2pol(X,Y); Dt?O_Bdv[
idx = r<=1; z52T "uW
z = nan(size(X)); x' *,~u
z(idx) = zernfun(a,b,r(idx),theta(idx)); e&Z}struE
figure(1) "GoNTM5h
pcolor(x,x,z), shading interp xExy?5H7
axis square, colorbar *u.6 ,jw
xlabel('X'); 2zR *`9$
ylabel('Y'); yZ3/Ia>,
title(['Zernike function Z^a_b','(r,\theta)']) Srj%6rgsB
figure(2) .{
^4I
mesh(x,x,z) M$ g%kqa
xlabel('X'); f%9EZ+OP
ylabel('Y'); X1G[&
title(['Zernike function Z^a_b','(r,\theta)'])
