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3 October 2014 Statistics of the turbulent phase in strong scintillation conditions
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Under strong scintillation condition the phase of the optical field propagating through turbulence contains phase singularities. Commonly used statistical description of phase in terms of phase structure function is based on smooth perturbation (Rytov) theory, and does not account for singularities. Markov approximation for wave propagation in turbulence predicts asymptotically normal probability distribution with zero mean for the optical field under strong scintillation conditions, and provides an equation for the coherence function. These allow calculation of all statistics of the field including the amplitude and phase. We derive equations for the single and two-point joint and marginal probabilities distributions of the amplitude and phase, and equation for the phase structure function that are valid for the strong scintillation condition when phase singularities are present.
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Mikhail Charnotskii "Statistics of the turbulent phase in strong scintillation conditions", Proc. SPIE 9224, Laser Communication and Propagation through the Atmosphere and Oceans III, 922405 (3 October 2014);

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