Propagation of partially coherent beam through turbulent nonlinear media

The propagation of a partially coherent wave field in inhomogeneous media is investigated. The influence of linear and nonlinear refraction and refraction parameter fluctuations on target characteristics of radiation are taken into consideration. The exact solution expressed in quadrature is obtained for the partially coherent radiation propagating through a turbulent medium with the Kolmogorov spectrum of fluctuations and a parabolic distribution of the mean refractive index. On the basis of comparison with this solution the accuracy of the solution of the equation for a coherence function of the second order obtained by the effective ray-tracing technique and taking into account the influence of turbulence and a nonlinearity of a medium to the propagation of a radiation with an arbitrary initial coherence is investigated.