采用matlab编程，其主函数如下，可以模拟各阶的zernike多项式： V11(EZJ/j
%Display the Zernike function Z(n=5,m=1) =^liong0
clc U -RR>j
clear tW<i;2 l
a=5;%%%%%%%%%%Z的阶数下标 GMk\
l
b=1;%%%%%%%%%%Z的阶数的上标 JFAmND;+
x = -1:0.01:1; 7#
>;iGuz
[X,Y] = meshgrid(x,x); (EW<Ggi
[theta,r] = cart2pol(X,Y); k+-IuO
idx = r<=1; 2MT_5j5[N
z = nan(size(X)); FHz tF$Z
z(idx) = zernfun(a,b,r(idx),theta(idx)); t "y[
figure(1) ~nit~ ;
pcolor(x,x,z), shading interp #h,7dz.d
axis square, colorbar WP( +jL^-
xlabel('X'); lKVy{X 3]*
ylabel('Y'); Za,MzKd=
title(['Zernike function Z^a_b','(r,\theta)']) a[e &O&Z
figure(2) +Dvdv<+
mesh(x,x,z) yf|,/{S
xlabel('X'); G.j R
ylabel('Y'); ~\vGwy
title(['Zernike function Z^a_b','(r,\theta)'])
