Correlations of photon trajectories in the problem of light scintillations

Abstract

A distribution function approach is applied to describe the dynamics of the laser beam in the Earth atmosphere. Using a formal solution of the kinetic equation for the distribution function, we have developed an iterative scheme for calculation of the scintillation index (${\sigma }^2$). The problem reduces to obtaining the photon trajectories and their correlations. Bringing together theoretical calculations and many-fold computer integrations, the value of ${\sigma }^2$ is obtained. It is shown that a considerable growth of ${\sigma }^2$ in the range of a moderate turbulence is due to the correlations of different trajectories. The criteria of applicability of our approach for both the coherent and partially coherent light are derived.

21 pages, 3 figures

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• Wide-range Prandtl/Schmidt number power spectrum of optical turbulence and its application to oceanic light propagation
• Bell nonlocality in the turbulent atmosphere
• Laser-beam scintillations for weak and moderate turbulence
• Characterization of free-space quantum channels
• Evolution equation for multi-photon states in turbulence
• Fourth-order moment of the light field in atmosphere
• Fourth-order moment of the light field in atmosphere for moderate and strong turbulence