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Published on: January 9, 2017
Universal tail of the probability density function of the intensity of light propagating in a turbulent medium
1NRU Higher School of Economics, Landau Institute for Theoretical Physics, RAS, 142432, Chernogolovka, Semenova 1A, Moscow region, Russia and , 101000 Myasnitskaya 20, Moscow, Russia.
Abstract:
We examine the probability of the appearance of high values of the intensity I of a light beam at its propagation in the turbulent atmosphere. Starting from the functional integral representation of averages over turbulent fluctuations, we find the saddle-point configuration in the functional space corresponding to the high values of I. The saddle-point configuration determines the tail of the probability density function (PDF) of I characterized by a stretched exponent and determines the high moments of I. By investigating fluctuations of the refraction index on top of the saddle-point configuration, we establish the applicability conditions for the approach, which are different for the cases of weak and strong scintillations.
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