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Geoacoustic Inversions Based on an Adjoint Parabolic Equation with a Neumann to Dirichlet Map Boundary Condition

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The acoustic propagation problem in the ocean is modeled via the parabolic approximation and the bottom boundary condition is of the form of a Neumann to Dirichlet map (NtD). In this paper, an optimal control method is exhibited using the adjoint operator for recovering the density, sound speed and attenuation of the bottom. The method is applied to two test cases and a satisfactory convergence of the inversion scheme is exhibited. This inversion method can be extended to other forms of DtN or NtD maps. Limitations of the method at this stage are: (a) horizontal bottom interface and homogeneous bottom region, and (b) knowledge of the complex field at the source. The method can handle range dependent water column.
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Document Type: Research Article

Publication date: November 1, 2007

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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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