Causal first-order equations for wave field modeling in a horizontally inhomogeneous ocean
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A mathematical model is developed for acoustic fields in a horizontally inhomogeneous oceanic medium with allowance for prominent inhomogeneities. On the basis of the system of equations of linear acoustics and the ideas of the method of transverse sections, causal equations of the first order that exactly describe the horizontal components of acoustic modes are derived. These equations offer a possibility to model the situations with nonsmooth inhomogeneities, when the known approximate methods are inappropriate. The equations are characterized by a number of important advantages, which include relative simplicity, physical clarity, and suitability for numerical simulations with the use of the existing algorithms designed for solving wave problems in layered media.
PACS numbers43.20.+g 43.30.+m
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