采用matlab编程,其主函数如下,可以模拟各阶的zernike多项式: F}DdErd!f
%Display the Zernike function Z(n=5,m=1) R/waWz\D
clc Id
*Gs>4U
clear >{~W"
a=5;%%%%%%%%%%Z的阶数下标 }$hxD9z
b=1;%%%%%%%%%%Z的阶数的上标 pNcNU[c
x = -1:0.01:1; =8X`QUmT
[X,Y] = meshgrid(x,x); 00Tm0rY
[theta,r] = cart2pol(X,Y); `mQY%p|
idx = r<=1; Vpt)?];P
z = nan(size(X)); Z 7t 0=U
z(idx) = zernfun(a,b,r(idx),theta(idx)); <P3r+ 1|R
figure(1) <t,uj.9_
pcolor(x,x,z), shading interp K%Mm'$fTw
axis square, colorbar FviLlly6
xlabel('X'); ik+qx~+`Qv
ylabel('Y'); n <6}
title(['Zernike function Z^a_b','(r,\theta)']) A-~#ydv
figure(2) ZO2u[HSO>
mesh(x,x,z) 8Z4d<DIJ
xlabel('X'); S5@/;T
ylabel('Y'); 8X!UtHml
title(['Zernike function Z^a_b','(r,\theta)'])