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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 20, Iss. 12 — Jun. 4, 2012
  • pp: 13055–13064

Exponentiated Weibull distribution family under aperture averaging for Gaussian beam waves

Ricardo Barrios and Federico Dios  »View Author Affiliations

Optics Express, Vol. 20, Issue 12, pp. 13055-13064 (2012)

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Nowadays, the search for a distribution capable of modeling the probability density function (PDF) of irradiance data under all conditions of atmospheric turbulence in the presence of aperture averaging still continues. Here, a family of PDFs alternative to the widely accepted Log-Normal and Gamma-Gamma distributions is proposed to model the PDF of the received optical power in free-space optical communications, namely, the Weibull and the exponentiated Weibull (EW) distribution. Particularly, it is shown how the proposed EW distribution offers an excellent fit to simulation and experimental data under all aperture averaging conditions, under weak and moderate turbulence conditions, as well as for point-like apertures. Another very attractive property of these distributions is the simple closed form expression of their respective PDF and cumulative distribution function.

© 2012 OSA

OCIS Codes
(010.1300) Atmospheric and oceanic optics : Atmospheric propagation
(010.1330) Atmospheric and oceanic optics : Atmospheric turbulence
(060.4510) Fiber optics and optical communications : Optical communications

ToC Category:
Atmospheric and Oceanic Optics

Original Manuscript: February 2, 2012
Revised Manuscript: March 28, 2012
Manuscript Accepted: March 28, 2012
Published: May 25, 2012

Ricardo Barrios and Federico Dios, "Exponentiated Weibull distribution family under aperture averaging for Gaussian beam waves," Opt. Express 20, 13055-13064 (2012)

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