Conditions of formation of vortex beams in turbulent atmosphere

The question of stability of the vortex Bessel optical beams formed in turbulent atmosphere is theoretically considered. In the given research characteristics of spatial structure of distribution of mean intensity of vortex Bessel optical beams in a randomly inhomogeneous medium (turbulent atmosphere) are in details analyzed. The quantitative criterion of possibility of formation of vortex Bessel optical beams in turbulent atmosphere is derived. On the basis of the analysis of behaviour of several physical parameters of mean intensity of optical radiation it is shown, that stability of the form of a vortex Bessel optical beam during propagation in turbulent atmosphere increases with increase of value of a topological charge of this beam.