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Acoustic Waves in a Shallow Inhomogeneous Ocean with a Layer of Sediment

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This paper deals with the direct underwater acoustics problem for a heterogeneous ocean of uniform depth with an acoustically interacting uniform layer of sediment. The acoustic properties of the ocean column are assumed to vary only with depth. Using the standard boundary conditions, i.e. a pressure release surface, continuity of normal stress and displacement across the ocean-seabed interface, and Sommerfeld type radiation conditions, we are able to determine the acoustic far-field using normal modal expansions. The nonhomogeneous character of the ocean is conveniently handled using transmutation theory. Transmutation theory yields an explicit form for the characteristic equation, and in addition, an appropriate inner product for the composite Sturm-Liouville system. The Fourier coefficients for the expansion of the propagating fundamental solution is also obtained. A numerical scheme is presented and several examples are given.
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Document Type: Research Article

Publication date: 1996-09-01

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  • Acta Acustica united with Acustica, published together with the European Acoustics Association (EAA), is an international, peer-reviewed journal on acoustics. It publishes original articles on all subjects in the field of acoustics, such as general linear acoustics, nonlinear acoustics, macrosonics, flow acoustics, atmospheric sound, underwater sound, ultrasonics, physical acoustics, structural acoustics, noise control, active control, environmental noise, building acoustics, room acoustics, acoustic materials, acoustic signal processing, computational and numerical acoustics, hearing, audiology and psychoacoustics, speech, musical acoustics, electroacoustics, auditory quality of systems. It reports on original scientific research in acoustics and on engineering applications. The journal considers scientific papers, technical and applied papers, book reviews, short communications, doctoral thesis abstracts, etc. In irregular intervals also special issues and review articles are published.
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