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Coherence radius and integrated scale of degree of coherence of Bessel beam in turbulent atmosphere

Coherent properties of the Bessel optical beam formed in turbulent atmosphere are studied. The problem analysis is based on the solution of the equation for the transverse second-order mutual coherence function of a field of optical radiation. The behaviour of the modulus of the normalized second-order mutual coherence function of a Bessel optical beam depending on parameter of a beam and characteristics of turbulent atmosphere is investigated. The behaviour of degree of coherence of a Bessel optical beam depending on parameter of a beam and characteristics of turbulent atmosphere is studied in details. It has appeared that at low levels of fluctuations in turbulent atmosphere the degree of coherence of a Bessel optical beam demonstrates oscillating character depending on the difference of the transverse spatial coordinate. At high levels of fluctuations in turbulent atmosphere, degree of coherence of a Bessel beam (as it is qualitative, and quantitatively) becomes closer to the similar characteristic of a spherical wave.