Coherence of vortex beams in discrete scattering media

Abstract

In this work the integral equation for second-order mutual coherence function of the laser beams, propagating in the discrete scattering medium with particles large in comparison with length of a wave of optical radiation is deduced. Conditions at which fulfil the integral equation transform into the differential equation are resulted. In that specific case of vortex Gaussian beams the solution of this differential equation is derived. Possibilities of carrying over of an optical vortex on lengthy path in the presence of discrete scatterings in atmosphere are discussed.