Open AccessEvolution properties of Bessel-Gaussian Schell-model beams in non-Kolmogorov turbulence
Author(s) -
Xiaoyang Wang,
Mingwu Yao,
Zhiliang Qiu,
Xiang Yi,
Zengji Liu
Publication year - 2015
Publication title -
optics express
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.394
H-Index - 271
ISSN - 1094-4087
DOI - 10.1364/oe.23.012508
Subject(s) - physics , optics , huygens–fresnel principle , wigner distribution function , turbulence , gaussian , bessel function , coherence (philosophical gambling strategy) , degree of coherence , spectral density , beam (structure) , refractive index , mutual coherence , atmospheric optics , computational physics , quantum mechanics , mathematics , mechanics , quantum , statistics
The analytical expressions for the spectral degree of coherence, the effective radius of curvature and the propagation factor of the Bessel-Gaussian Schell-model (BGSM) beam in turbulent atmosphere are derived based on the extended Huygens-Fresnel principle and the second-order moments of the Wigner distribution function (WDF). The evolution properties of BGSM beams propagating in non-Kolmogorov turbulence are investigated by a set of numerical examples. It is demonstrated that the spectral degree of coherence of the BGSM beam evolves into Gaussian profile twice with the increasing of the propagation distance. The turbulence-induced degradation can be remarkably reduced by using the BGSM beam with the proper source parameters. The effects that the generalized refractive-index structure constant, outer and inner scales, and the spectral index of spatial power spectrum of atmospheric turbulence have on the evolution properties of BGSM beams are also discussed in detail.