采用matlab编程,其主函数如下,可以模拟各阶的zernike多项式: Ui:WbH<b{
%Display the Zernike function Z(n=5,m=1) /sU~cn^D5
clc goa@e
clear >oD,wSYV~
a=5;%%%%%%%%%%Z的阶数下标 Z+8Q{|Ev
b=1;%%%%%%%%%%Z的阶数的上标 ZwzN=03T
x = -1:0.01:1; dUvgFOy|P
[X,Y] = meshgrid(x,x); &|]GTN`E
[theta,r] = cart2pol(X,Y); )~>
C1<
idx = r<=1; [:Upn)9
z = nan(size(X)); ~-J!WC==U
z(idx) = zernfun(a,b,r(idx),theta(idx)); :}B=Bk/q
figure(1) Yee%
<<S
pcolor(x,x,z), shading interp +Oxw?`I$
axis square, colorbar NUN~T (
xlabel('X'); Xh5&J9pw
ylabel('Y'); Cf~vT"
title(['Zernike function Z^a_b','(r,\theta)']) v ?Ds|
figure(2) dQ.:xu}~
mesh(x,x,z) JKjVrx>
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xlabel('X'); 4lp90sa
ylabel('Y'); gRsV-qS
title(['Zernike function Z^a_b','(r,\theta)'])