Fractional moments for determining intensity PDFs from experimental data in atmospheric optical scintillation

Anna Consortini; Florence Rigal; Claudia Innocenti

doi:10.1117/12.354849

19 July 1999 Fractional moments for determining intensity PDFs from experimental data in atmospheric optical scintillation

Anna Consortini, Florence Rigal, Claudia Innocenti

Author Affiliations +

Proceedings Volume 3749, 18th Congress of the International Commission for Optics; (1999) https://doi.org/10.1117/12.354849
Event: ICO XVIII 18th Congress of the International Commission for Optics, 1999, San Francisco, CA, United States

Abstract

Non-stationarity of atmospheric turbulence gives rise to some practical problems when one wants to determine the probability density function (PDF) of intensity fluctuations from laser atmospheric propagation experimental data. For strong fluctuations, the number of uncorrelated data that can be collected in stationary conditions is generally not enough to correctly evaluate intensity moments of order greater than two 1} . In the case of very strong fluctuations even the second order moment (and also variance) can not be estimated with accuracy [2] This is due to the fact that the stronger the fluctuations the longer is the tail of the distribution, which represents the main contribution in high order moment evaluation. If only integer moments are considered, information about intensity PDF that can be extracted from its moments is thus very poor because only a few of them are correctly estimated

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Anna Consortini, Florence Rigal, and Claudia Innocenti "Fractional moments for determining intensity PDFs from experimental data in atmospheric optical scintillation", Proc. SPIE 3749, 18th Congress of the International Commission for Optics, (19 July 1999); https://doi.org/10.1117/12.354849

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