PROBABILITY DISTRIBUTION OF TURBULENT IRRADIANCE IN A SATURATION REGIME

Authors
  1. Bissonnette, L.R.
  2. Wizinowich, P.L.
Corporate Authors
Defence Research Establishment Valcartier, Valcartier QUE (CAN)
Abstract
Application of the central limit theorem to the stochastic equation of propagation suggests that the probability distribution of the complex wave amplitude defined on the geometrical phase front is approximately normal. The resulting irradiance probability density function, valid in the strong scintillation regime, is an exponential multiplied by the modified Bassel function I sub o both of argument proportional to the irradiance; it is not the Rice-Nakagami density function. Quantitative tests show that this exponential-Bassel function constitutes as good a fit as the log-normal to the irradiance probability data reported in this paper. Since the normal distribution hypothesis is consistent with the stochastic wave equation, the model proposed here should be a simple substitute to the often used but theoretically incorrect log-normal irradiance probability distribution model.
Date of publication
01 Jan 1979
Number of Pages
10
Reprinted from
Applied Optics, vol 18, no 10, 1979, p 1590-1599
DSTKIM No
79-02975
CANDIS No
87304
Format(s):
Originator's fiche received by DSIS;Hardcopy

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