Recently, an exponentiated Weibull distribution model was presented for describing the effects of aperture averaging on scintillation of Gaussian beams propagating through atmospheric turbulence. The model uses three parameters that are derived from physical quantities so that in principle the model could be used to predict optical link performance. After reviewing this model, however, we find several inconsistencies that render it unusable for this purpose under any scintillation conditions.

© 2012 OSA

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  1. R. Barrios and F. Dios, “Exponentiated Weibull distribution family under aperture averaging for Gaussian beam waves,” Opt. Express20(12), 13055–13064 (2012).
    [CrossRef] [PubMed]

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Figures (1)

Fig. 1
Fig. 1

Comparison of the EW probability density functions for the fit (green curves) and theoretically predicted (blue curves) for the experiments of [1] Figs. 4(a)–4(d).

Tables (1)

Tables Icon

Table 1 Parameter values from conditions specified in Fig. 4 of [1] along with the corresponding values obtained from Eqs. (10)(12) in parentheses.

Equations (4)

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f EW (I;β,η,α)= αβ η ( I η ) β1 exp[ ( I η ) β ] { 1exp[ ( I η ) β ] } α1 ,
α3.931 ( D ρ 0 ) 0.519 ,
β (α σ I 2 ) 6/11 ,
η= 1 αΓ(1+1/β)g(α,β) ,