采用matlab编程，其主函数如下，可以模拟各阶的zernike多项式： \P*PjG?R
%Display the Zernike function Z(n=5,m=1) NR ;q`Xe-
clc `oB' (
clear Uy(vELB
a=5;%%%%%%%%%%Z的阶数下标 8rG l&
b=1;%%%%%%%%%%Z的阶数的上标 )\um "l*\c
x = -1:0.01:1; \ k|_&hG
[X,Y] = meshgrid(x,x); h~,x7]w6
[theta,r] = cart2pol(X,Y); B1x'5S;Bq
idx = r<=1; Z"l`e0 {
z = nan(size(X)); Tq9,c#}&
z(idx) = zernfun(a,b,r(idx),theta(idx)); :|?~B%-p[
figure(1) ;n3uV`\
pcolor(x,x,z), shading interp |}M~ kJ)
axis square, colorbar p ^p'/$<6_
xlabel('X'); Coga-: 2vu
ylabel('Y'); 2.^7?ok
title(['Zernike function Z^a_b','(r,\theta)']) 3js)niT9u
figure(2) OI'uH$y
mesh(x,x,z) bq c;.4$
xlabel('X'); &W&7bZ$;
ylabel('Y'); yfPCGCOW?
title(['Zernike function Z^a_b','(r,\theta)'])
