采用matlab编程,其主函数如下,可以模拟各阶的zernike多项式: i K[8At"Xo
%Display the Zernike function Z(n=5,m=1) H=BR
-
clc ~V-
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clear .6/p4OR|
a=5;%%%%%%%%%%Z的阶数下标 +#db_k
b=1;%%%%%%%%%%Z的阶数的上标 8}0y)aJ
x = -1:0.01:1; np>!lF:
[X,Y] = meshgrid(x,x); WI4_4
[theta,r] = cart2pol(X,Y); kuud0VWJ
idx = r<=1; HY| SLk/E
z = nan(size(X)); -Jrc'e4K
z(idx) = zernfun(a,b,r(idx),theta(idx)); L8K 3&[l%
figure(1) !skWe~/
pcolor(x,x,z), shading interp Sm_:SF!<D6
axis square, colorbar m)RxV@
xlabel('X'); b`Ek;nYek
ylabel('Y'); >)Z2bCe
title(['Zernike function Z^a_b','(r,\theta)']) O
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figure(2) N)y;owgo
mesh(x,x,z) 44{:UhJkx
xlabel('X'); vlyNQ7"%
ylabel('Y'); cCKda3v!O
title(['Zernike function Z^a_b','(r,\theta)'])