采用matlab编程,其主函数如下,可以模拟各阶的zernike多项式: xS tsw5d
%Display the Zernike function Z(n=5,m=1) #eOHe4Vt
clc g"5Kth
clear
^ExuIe
a=5;%%%%%%%%%%Z的阶数下标 7$Z_'GJ]1C
b=1;%%%%%%%%%%Z的阶数的上标 7;AK=;
x = -1:0.01:1; V~j^
[X,Y] = meshgrid(x,x); }bca-|N
[theta,r] = cart2pol(X,Y); {%u^O/M
idx = r<=1; >_ZEQC
z = nan(size(X)); SA}Dkt&,
z(idx) = zernfun(a,b,r(idx),theta(idx)); [;Lgbgt3f
figure(1) 'LPyh ;!f
pcolor(x,x,z), shading interp ZH;4e<gg
axis square, colorbar !>> A@3
xlabel('X'); 3=sBe HL
ylabel('Y'); F&R*njJcc
title(['Zernike function Z^a_b','(r,\theta)'])
5)'Y\~2
figure(2) .Ji9j[[#D
mesh(x,x,z) 7`J2/(
xlabel('X'); d;Y Kw1
ylabel('Y'); BYEZ[cM
title(['Zernike function Z^a_b','(r,\theta)'])