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Atmospheric and Oceanic Optics

2016 year, number 4

Spatial scales of coherence of diffraction-free beams in a turbulent atmosphere

I.P. Lukin
V.E. Zuev Institute of Atmospheric Optics of Siberian Branch of the Russian Academy of Science, 1, Academician Zuev square, Tomsk, 634021, Russia
Keywords: бесселев пучок, оптическое излучение, атмосферная турбулентность, функция взаимной когерентности второго порядка, когерентность, Bessel beam, optical radiation, atmospheric turbulence, second-order mutual coherence function, coherence

Abstract

Coherent properties of the diffraction-free optical beams propagating in a turbulent atmosphere are studied. The problem analysis is based on solution of the equation for the second-order mutual coherence function of a field of optical radiation. The behavior of the degree of coherence of the diffraction-free (cos and fundamental Bessel) optical beams depending on parameters of the beams and characteristics of the turbulent atmosphere is investigated. It has appeared that fundamental property of diffraction-free beams is the oscillating character of coherence degree of these beams, which is shown at low levels of fluctuations in the turbulent atmosphere. At high levels of fluctuations in the turbulent atmosphere, the degree of coherence of a diffraction-free cos beam becomes closer to the similar characteristic of a plane wave, while a diffraction-free fundamental Bessel beam becomes closer to a spherical wave. The analysis of two spatial scales of degree of coherence of optical beams has shown that the integral scale of coherence degree for diffraction-free beams is more representative characteristic than coherence of radius. The integral scale of coherence degree of diffraction-free beams is practically unequivocally connected with conditions of propagation of optical radiation in a turbulent atmosphere.