采用matlab编程，其主函数如下，可以模拟各阶的zernike多项式： Dc*
H:x;
%Display the Zernike function Z(n=5,m=1) `Z#':0 Z
clc +* F e
clear L& rtN@5;
a=5;%%%%%%%%%%Z的阶数下标 pN_%>v"o
b=1;%%%%%%%%%%Z的阶数的上标 ll[&O4.F
x = -1:0.01:1; itE/QB
[X,Y] = meshgrid(x,x); Wsp c ;]&
[theta,r] = cart2pol(X,Y); y\4/M6
idx = r<=1; w ~"%&SNN
z = nan(size(X)); :yE0DS<_
z(idx) = zernfun(a,b,r(idx),theta(idx)); K'/if5>Bc
figure(1) )*R';/zaI
pcolor(x,x,z), shading interp '@
p464
axis square, colorbar ?Q$a@)x#
xlabel('X'); [ $ uKI,l
ylabel('Y'); ?S9vYaA$
title(['Zernike function Z^a_b','(r,\theta)']) H |7XfM
figure(2) *YX5bpR?
mesh(x,x,z) = y(*?TZH
xlabel('X'); l^KCsea#
ylabel('Y'); BJ\81 R
title(['Zernike function Z^a_b','(r,\theta)'])
