Open AccessRytov theory for Helmholtz-Gauss beams in turbulent atmosphere
Author(s) -
Rodrigo J. Noriega-Manez,
Julio C. Gutiérrez-Vega
Publication year - 2007
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.15.016328
Subject(s) - physics , bessel function , helmholtz equation , optics , helmholtz free energy , gauss , wave propagation , transverse plane , turbulence , refraction , geometrical optics , classical mechanics , computational physics , quantum mechanics , mechanics , structural engineering , boundary value problem , engineering
The Rytov theory for the propagation of Helmholtz-Gauss (HzG) beams in turbulent atmosphere is presented. We derive expressions for the first and second-order normalized Born approximations, the second-order moments, and the transverse intensity pattern of the HzG beams at any arbitrary propagation distance. The general formulation is applied to study the propagation of several special cases of the HzG beams, in particular, the Bessel-Gauss and Mathieu-Gauss beams and their pure nondiffracting counterparts, the Bessel and Mathieu beams. For numerical purposes, we assume the standard Kolmogorov distribution to model the power spectrum of the atmospheric fluctuations.