Open AccessSpiral spectrum of Laguerre-Gaussian beams propagating in turbulent atmosphere
Author(s) -
Fang Li,
Hua Tang,
Yuesong Jiang,
Jun Ou
Publication year - 2011
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.60.014204
Subject(s) - physics , optics , gaussian beam , pupil function , radius , spiral (railway) , aperture (computer memory) , topological quantum number , dimensionless quantity , refractive index , turbulence , beam (structure) , computational physics , mathematical analysis , quantum mechanics , mathematics , diffraction , acoustics , computer security , computer science , thermodynamics
An analysis of the propagation of Laguerre-Gaussian beam in fluctuation turbulent atmosphere is performed. Under the Rytov approximation, the integral expression of the spiral spectrum of the beam at the receiver aperture is obtained. It is found that the atmospheric turbulence will induce the spread of the spiral spectrum. With increasing topological charge, propagation distance, refractive index structure constant and radius of receiver aperture, the spectrum spread becomes more serious. It is also shown that the dimensionless variance describing the degree of the spread is a quadratic function of the refractive index structure constant and the radius of receiver aperture respectively, while it is an 11th order function of the topological charge and a 6th order function of the propagation distance. The analytical expression of the spiral spectrum is derived by taking account of the simulation results that both radial index and waist radius have little effect on the spiral spectrum.