采用matlab编程,其主函数如下,可以模拟各阶的zernike多项式: >A1Yn]k
%Display the Zernike function Z(n=5,m=1) 2%WZ-l!i
clc Ke,-8e#Q
clear "~FXmKcX
a=5;%%%%%%%%%%Z的阶数下标 -'YX2!IU,
b=1;%%%%%%%%%%Z的阶数的上标 Ppx*
x = -1:0.01:1; Y!Z@1V`
[X,Y] = meshgrid(x,x); 8vUP{f6 {
[theta,r] = cart2pol(X,Y); Vy(lyD<6
idx = r<=1; dQizM^j
z = nan(size(X)); f \4Qp
z(idx) = zernfun(a,b,r(idx),theta(idx)); O;,k~
figure(1) DJ<e=F!
pcolor(x,x,z), shading interp ~oaVH.[e=
axis square, colorbar KY_qK)H
xlabel('X'); 6^
KDc
ylabel('Y'); zpa'G1v
title(['Zernike function Z^a_b','(r,\theta)']) r3*wH1n
figure(2) Jl^oDW
mesh(x,x,z) 8#oF7eE
xlabel('X'); gW*ee
ylabel('Y'); r
Ssv^W+
title(['Zernike function Z^a_b','(r,\theta)'])