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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2018, Volume 58, Number 4, Pages 550–560
DOI: https://doi.org/10.7868/S0044466918040063 (Mi zvmmf10718) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Radon transform for solving an inverse scattering problem in a planar layered acoustic medium

A. V. Baev

Faculty of Computational Mathematics and Cybernetics, Lomonosov Moscow State University, Moscow, Russia
Citations (3)
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DOI: https://doi.org/10.7868/S0044466918040063
Abstract: A two-dimensional inverse scattering problem in a layered acoustic medium occupying a half-plane is considered. Data is the scattered wavefield from a surface point source measured on the boundary of the half-plane. On the basis of the Radon transform, an algorithm is constructed that recovers the velocity and the acoustic impedance of the medium from the scattering data. An analytical solution is presented for an inverse scattering problem, and several inverse scattering problems are solved numerically.
Key words: inverse scattering problem, Radon transform, acoustic wave equation, wave equation, eikonal, acoustic impedance, numerical simulation.
Funding agency Grant number
Russian Foundation for Basic Research 17-01-00525_а
Ministry of Education and Science of the Russian Federation АААА-А16-116021510092-2
Received: 17.02.2017
Revised: 04.05.2017
English version:
Computational Mathematics and Mathematical Physics, 2018, Volume 58, Issue 4, Pages 537–547
DOI: https://doi.org/10.1134/S0965542518040061
Bibliographic databases:
Document Type: Article
UDC: 519.632
Language: Russian
Citation: A. V. Baev, “Radon transform for solving an inverse scattering problem in a planar layered acoustic medium”, Zh. Vychisl. Mat. Mat. Fiz., 58:4 (2018), 550–560; Comput. Math. Math. Phys., 58:4 (2018), 537–547
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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