Title

New Mathematical Model For The Intensity Pdf Of A Laser Beam Propagating Through Turbulent Media

Abstract

A new doubly stochastic probability distribution function (PDF), namely the two parameter gamma-gamma distribution, is developed to describe the intensity fluctuations of a laser beam propagating through turbulent media. The lognormal distribution is the traditional governing distribution in the weak region; however in strong turbulence the intensity of a laser beam is better described by Beckmann's PDF and lognormal modified PDF. It is shown in this analysis that the gamma-gamma PDF behaves like the lognormal in the weak region and like Beckmann's and the lognormal modified PDFs in the strong region. The gamma-gamma PDF is compared here with recently published simulation data over a range of atmospheric conditions. Although the parameters of the gamma-gamma PDF are determined based on best fitted curves, the purpose of this analysis is to explore the existence of such a universal PDF. Unlike all other models, the gamma-gamma has a closed form CDF, making it of extreme importance for real time calculations.

Publication Date

12-1-1999

Publication Title

Proceedings of SPIE - The International Society for Optical Engineering

Volume

3706

Number of Pages

103-110

Document Type

Article; Proceedings Paper

Personal Identifier

scopus

Socpus ID

0033320723 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/0033320723

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