Account of an optical beam spreading caused by turbulence for the problem of partially coherent wave field propagation through inhomogeneous absorbing media

The propagation problem for partially coherent wave field in inhomogeneous media is considered in this work. The influence of refraction, inhomogeneity of gain (absorbing) medium properties and refraction parameter fluctuations on target characteristics of radiation are taken into consideration. Such problems arise in the study of laser propagation on atmosphere paths, under investigation of directional radiation pattern forming for lasers which gain media is characterized by strong fluctuation of dielectric constant and for lasers which resonator have an atmosphere area. The ray-tracing technique allowing to makes effective algorithms for modeling of a partially coherent wave field propagation through inhomogeneous random media is presented for case when the influence of an optical waves refraction (linear or nonlinear), the influence of the inhomogeneity of radiation amplification or absorption. and also die influence of fluctuations of a refraction parameter on target radiation parameters are basic. Novelty of the technique consists in the account of the additional refraction caused by inhomogeneity of gain (absorption), and also in the method of an account of turbulent distortions of a beam with any initial coherence allowing to execute construction of effective numerical algorithms. The technique based on the solution of the equation for coherence function of the second order. Algorithm approbation is carried out for test tasks.