Yuan, YangshengCai, YangjianQu, JunEyyuboglu, Halil T.Baykal, Yahya2016-06-142025-09-182016-06-142025-09-182010Yuan, Y...et al. (2010). Propagation factors of Hermite-Gaussian beams in turbulent atmosphere. Optics and Laser Technology, 42(8), 1344-1348. http://dx.doi.org/10.1016/j.optlastec.2010.04.0180030-39921879-2545https://doi.org/10.1016/j.optlastec.2010.04.018https://hdl.handle.net/20.500.12416/12037Based on the extended Huygens-Fresnel integral and the second-order moments of the Wigner distribution function, an analytical formulae for the propagation factors (M-2-factors) of coherent and partially coherent one-dimensional Hermite-Gaussian beams in a turbulent atmosphere are derived. Evolution properties of the M-2-factor of the Hermite-Gaussian beam in a turbulent atmosphere are studied numerically in detail. Our results show that the M-2-factor of the Hermite-Gaussian beam increases upon propagation in a turbulent atmosphere. The M-2-factor of the Hermite-Gaussian beam with larger beam order (or lower coherence) increases slower that of the Hermite-Gaussian beam with smaller beam order (or higher coherence) in a turbulent atmosphere, which means that the Hermite-Gaussian beam with a larger beam order and lower coherence is less affected by a turbulent atmosphere. Our results will be useful in long-distance free-space optical communications. (c) 2010 Elsevier Ltd. All rights reserved.eninfo:eu-repo/semantics/closedAccessHermite-Gaussian BeamPropagation FactorTurbulent AtmosphereArticle10.1016/j.optlastec.2010.04.0182-s2.0-77955307295