采用matlab编程，其主函数如下，可以模拟各阶的zernike多项式： p*g Fr hm
%Display the Zernike function Z(n=5,m=1) ]*2),H1
c
clc 6$`< Y?
clear K.Xy:l*z
a=5;%%%%%%%%%%Z的阶数下标 8em'7hR9
b=1;%%%%%%%%%%Z的阶数的上标 V%,,GmiU]
x = -1:0.01:1; x5lVb$!G
[X,Y] = meshgrid(x,x); r&u1-%%9[
[theta,r] = cart2pol(X,Y);
|Xso}Y{
idx = r<=1; q*hn5 K*
z = nan(size(X)); H ,7='n7"
z(idx) = zernfun(a,b,r(idx),theta(idx)); k6tCfq;
figure(1) Xb _
V\b0
pcolor(x,x,z), shading interp S <mZs;
axis square, colorbar -X.#Y6(
xlabel('X'); 2q?/aw ;Z
ylabel('Y'); 2I.FSR_G?
title(['Zernike function Z^a_b','(r,\theta)']) ` H'G"V
figure(2) '@n"'vks(\
mesh(x,x,z) )UR$VL
xlabel('X'); #VQZ"7nI@
ylabel('Y'); A4j ,]hOD
title(['Zernike function Z^a_b','(r,\theta)'])
