Abstract

The evolution of the 4 × 4 matrix with elements being the scintillation indices of the single-point Stokes parameters of a stationary electromagnetic beam-like optical field in classic, weak atmospheric turbulence is revealed. It is shown that depending on the choice of the source parameters, the source-induced changes in the matrix elements of the propagating beam and those produced by turbulence can be either range-separated or conjoined. For theoretical analysis, the unified theory of coherence and polarization is used together with the extended Huygens-Fresnel integral approach. The results can be of interest for building robust communication and sensing systems operating in the presence of atmospheric fluctuations.

Highlights

  • The discovery by Hanbury Brown and Twiss of non-trivial correlations in the intensity of spatially separated, fluctuating, classic light fields [1,2] has led to a number of groundbreaking technologies, the most important of which are the stellar interferometry [3] and ghost imaging [4]

  • In the majority of scenarios, the measured light field is thermal, i.e., obeys the circular Gaussian statistics, and, involves a very simple relation between the field correlations and the intensity correlations, as a consequence of the Gaussian moment theorem [5]. Another area greatly benefiting from the optical intensity correlation analysis is the laser beam interaction with atmospheric turbulence, including a variety of applications, such as remote sensing, classic imaging, and free-space optical communications [6]

  • The purpose of this paper is to investigate the behavior of the 4 × 4 Hanbury Brown and Twiss correlation matrix in the atmospheric turbulence depending on the source and turbulence parameters

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Summary

Introduction

The discovery by Hanbury Brown and Twiss of non-trivial correlations in the intensity of spatially separated, fluctuating, classic light fields [1,2] has led to a number of groundbreaking technologies, the most important of which are the stellar interferometry [3] and ghost imaging [4]. In the majority of scenarios, the measured light field is thermal, i.e., obeys the circular Gaussian statistics, and, involves a very simple relation between the field correlations and the intensity correlations, as a consequence of the Gaussian moment theorem [5] Another area greatly benefiting from the optical intensity correlation analysis is the laser beam interaction with atmospheric turbulence, including a variety of applications, such as remote sensing, classic imaging, and free-space optical communications [6]. The usefulness of the spatially pre-randomized optical fields, is in the reduction of their intensity fluctuations as compared with those in a beam with the same geometry launched into the same turbulence channel by a laser This idea was employed a number of times for improving the quality of free-space optical communications [13,14,15]

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