Coherence of vortex beams in turbulent atmosphere

Researches of coherent properties of the vortex Bessel optical beams propagating in turbulent atmosphere are theoretically developed. The degree of coherence of vortex Bessel optical beams depending on beam parameters (cross-section wave number and a topological charge) and characteristics of turbulent atmosphere is in details analysed. It is shown, that at low levels of fluctuations in turbulent atmosphere, the degree of coherence of an vortex Bessel optical beam essentially depends on value of a topological charge of a optical beam. In the central part of a two-dimensional field of degree of coherence the ring dislocations, which number of rings to equally value of a topological charge of a vortex optical beam, is formed. At high levels of fluctuations in turbulent atmosphere, the degree of coherence of a vortex Bessel optical beam decreases much faster, than it takes place for the fundamental Bessel optical beam. And, speed of decrease essentially increases in process of growth of value of a topological charge of a optical beam.