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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2016, Volume 56, Number 12, Pages 2073–2085
DOI: https://doi.org/10.7868/S0044466916120036 (Mi zvmmf10496) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Solution of an inverse scattering problem for the acoustic wave equation in three-dimensional media

A. V. Baev

Faculty of Physics, Moscow State University, Moscow, Russia
Full-text PDF (186 kB) Citations (6)
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DOI: https://doi.org/10.7868/S0044466916120036
Abstract: A three-dimensional inverse scattering problem for the acoustic wave equation is studied. The task is to determine the density and acoustic impedance of a medium. A necessary and sufficient condition for the unique solvability of this problem is established in the form of an energy conservation law. The interpretation of the solution to the inverse problem and the construction of medium images are discussed.
Key words: acoustic impedance, Galerkin method, acoustic, eikonal, Klein–Gordon, Schrödinger, and Riccati equations, Dirac system, Volterra and Gelfand–Levitan integral equations, tensor field.
Received: 30.12.2015
Revised: 16.05.2016
English version:
Computational Mathematics and Mathematical Physics, 2016, Volume 56, Issue 12, Pages 2043–2055
DOI: https://doi.org/10.1134/S0965542516120034
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: A. V. Baev, “Solution of an inverse scattering problem for the acoustic wave equation in three-dimensional media”, Zh. Vychisl. Mat. Mat. Fiz., 56:12 (2016), 2073–2085; Comput. Math. Math. Phys., 56:12 (2016), 2043–2055
Citation in format AMSBIB
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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