采用matlab编程,其主函数如下,可以模拟各阶的zernike多项式: q<b;xx
%Display the Zernike function Z(n=5,m=1) Z\y@rp\l
clc E:&ga}h
clear "rr,P0lgX
a=5;%%%%%%%%%%Z的阶数下标 Bk1Q.Un
b=1;%%%%%%%%%%Z的阶数的上标 P$\vD^
x = -1:0.01:1; \~zTc_
[X,Y] = meshgrid(x,x); U:E:"
[theta,r] = cart2pol(X,Y); :R<n{%~
idx = r<=1; zrt8ze=Su
z = nan(size(X)); -)aBS3
z(idx) = zernfun(a,b,r(idx),theta(idx)); Ov)rsi
figure(1) l
49)Cv/
pcolor(x,x,z), shading interp #]|9aVrr
axis square, colorbar C``%<)WC
xlabel('X'); :(Feg 2c
ylabel('Y'); CBTa9|57
title(['Zernike function Z^a_b','(r,\theta)']) 2Fce| Tn
figure(2) ^6ZA2-f/<8
mesh(x,x,z) c|Nv^V*2
xlabel('X'); rj*4ZA?
ylabel('Y'); 81/Bn!
title(['Zernike function Z^a_b','(r,\theta)'])