M2-factor of coherent and partially coherent dark hollow beams propagating in turbulent atmosphere

Yangsheng Yuan, Yangjian Cai, Jun Qu, Halil T. Eyyuboǧlu, Yahya Baykal, Olga Korotkova

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Analytical formula is derived for the M2-factor of coherent and partially coherent dark hollow beams (DHB) in turbulent atmosphere based on the extended Huygens-Fresnel integral and the second-order moments of the Wigner distribution function. Our numerical results show that the M2-factor of a DHB in turbulent atmosphere increases on propagation, which is much different from its invariant properties in free-space, and is mainly determined by the parameters of the beam and the atmosphere. The relative M 2-factor of a DHB increases slower than that of Gaussian and flat-topped beams on propagation, which means a DHB is less affected by the atmospheric turbulence than Gaussian and flat-topped beams. Furthermore, the relative M2-factor of a DHB with lower coherence, longer wavelength and larger dark size is less affected by the atmospheric turbulence. Our results will be useful in long-distance free-space optical communications.

Original languageEnglish (US)
Pages (from-to)17344-17356
Number of pages13
JournalOptics Express
Issue number20
StatePublished - Sep 28 2009


ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

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