Propagation of vortex beams in discrete scattering media

Abstract

The transverse mutual coherence function of the second order of the field of optical beam propagating in a discrete scattering medium with particles, whose sizes are large compared with a wavelength of optical radiation, is described by the integral equation. It is shown that when certain conditions are met, this integral equation turns into a differential equation. Using the analytical solution of this differential equation, a numerical analysis of the behavior of the mean intensity of the Gaussian, hollow Gaussian, Gaussian beam with a vortex phase and vortex Gaussian beams is performed.