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.
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)