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Optics Letters

Optics Letters


  • Vol. 36, Iss. 2 — Jan. 15, 2011
  • pp: 286–288

Multibeam scintillation cumulative distribution function

Jason A. Tellez and Jason D. Schmidt  »View Author Affiliations

Optics Letters, Vol. 36, Issue 2, pp. 286-288 (2011)

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The gamma–gamma probability density function is commonly used to model the scintillation of a single laser beam propagating through atmospheric turbulence. One method proposed to reduce scintillation at the receiver plane involves the use of multiple channels propagating through independent paths, resulting in a sum of independent gamma–gamma random variables. Recently, a novel approach for an accurate, closed-form approximation for the sum of independent, identically distributed gamma–gamma random variables was introduced by Chatzidiamantis et al. [GLOBECOM 2009—2009 IEEE Global Telecommunications Conference (2009)]. Using this approximation, we present the first analytic model for the distribution of irradiance due to propagating multiple independent beams. This model compares favorably to wave-optics simulations.

OCIS Codes
(010.1330) Atmospheric and oceanic optics : Atmospheric turbulence
(290.5930) Scattering : Scintillation
(060.2605) Fiber optics and optical communications : Free-space optical communication

ToC Category:
Atmospheric and Oceanic Optics

Original Manuscript: October 12, 2010
Manuscript Accepted: December 10, 2010
Published: January 13, 2011

Jason A. Tellez and Jason D. Schmidt, "Multibeam scintillation cumulative distribution function," Opt. Lett. 36, 286-288 (2011)

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  1. J. A. Louthain and J. D. Schmidt, Opt. Express 16, 10769 (2008). [CrossRef] [PubMed]
  2. J. A. Louthain and J. D. Schmidt, Opt. Express 18, 8948 (2010). [CrossRef] [PubMed]
  3. M. A. Al-Habash, L. C. Andrews, and R. L. Phillips, Opt. Eng. 40, 1554 (2001). [CrossRef]
  4. L. C. Andrews, R. L. Phillips, and C. Y. Hopen, Laser Beam Scintillation with Applications, Vol. PM99 of SPIE Press Monograph (SPIE Press, 2001). [CrossRef]
  5. L. C. Andrews and R. L. Phillips, Laser Beam Propagation through Random Media, 2nd ed. (SPIE Press, 2005). [CrossRef]
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  7. J. D. Schmidt, Numerical Simulation of Optical Wave Propagation With Examples in MATLAB (Press Monograph) (SPIE Press, 2010), pap/chrt ed.
  8. S. Coy, Proc. SPIE 5894, 589405 (2005) [CrossRef]

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