采用matlab编程,其主函数如下,可以模拟各阶的zernike多项式: qR^i5JH}u
%Display the Zernike function Z(n=5,m=1)
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clc I7{
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clear U>a~V"5,u
a=5;%%%%%%%%%%Z的阶数下标 FK,Jk04on
b=1;%%%%%%%%%%Z的阶数的上标 3bR 6Y[
x = -1:0.01:1; dk@iAL*v
[X,Y] = meshgrid(x,x); pTE.,~-J^j
[theta,r] = cart2pol(X,Y); m$A-'*'
idx = r<=1; I#:,!vjn
z = nan(size(X)); Wq/0 }W.
z(idx) = zernfun(a,b,r(idx),theta(idx)); F5YHc$3^
figure(1) 0T<DHPQ1
pcolor(x,x,z), shading interp 4/QQX;w
axis square, colorbar H 2UR
xlabel('X'); giu8EjzK
ylabel('Y'); FS6I?q#tQ
title(['Zernike function Z^a_b','(r,\theta)']) j?s+#t
figure(2) i&zJwUr(<
mesh(x,x,z) h 7*#;j
xlabel('X'); \:_!!
ylabel('Y'); (!dwUB
title(['Zernike function Z^a_b','(r,\theta)'])