New formulations for the scattering of sound in a moving random medium

The main aim of the presentation is the review of the modern theory of sound propagation and scattering in media with random inhomogeneities of the adiabatic sound speed, density, and medium velocity (mainly, in the atmosphere and ocean). This theory has been intensively developed in the last few years and includes the rigorous calculations of sound field statistical moments using Born approximation, ray, Rytov, and parabolic equation methods, and the theory of multiple scattering. This modern theory also shows that certain equations for statistical moments of the sound field propagating in the turbulent atmosphere, which previously have been widely used in the literature, must be revised. On the basis of the theory developed, new possible methods for acoustic remote sensing of the atmosphere are proposed.