Wide-angle parabolic equations for sound in a three-dimensional inhomogeneous moving medium (Q1420655)

Due to the numerical efficiency and a sufficiently exact description of diffraction effects a parabolic approximation is successfully applied for the modeling of wave fields in an inhomogeneous medium. Particularly it was widely used in ocean and atmosphere acoustics. For the description of sound fields in a moving medium see the paper by the author [Dokl. Phys. 43, No. 7, 393--396 (1998); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 361, No. 3, 329--332 (1998; Zbl 1065.76590)] for the two-dimensional wide-angle parabolic equation. For its solution the reciprocity principle and energy conservation law are true. The goal of the paper is a generalization of the results obtained in the above mentioned paper in a way which allows simultaneously to increase the correctness of the parabolic approximation and to extend it to the three-dimensional inhomogeneous medium with a stream.