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Updated: May 21, 2026

The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry
Published on: August 12, 2013
Exponentiated Weibull distribution family under aperture averaging for Gaussian beam waves
Ricardo Barrios1, Federico Dios
1Dept. of Signal Theory and Communications Universitat Politecnica de Catalunya, Campus Nord, D-3. C/ Jordi Girona 1-3. 08034 Barcelona, Spain. ricardo.barrios@tsc.upc.edu
Abstract:
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.
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