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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2018, Volume 58, Number 12, Pages 2127–2138
DOI: https://doi.org/10.31857/S004446690003557-3 (Mi zvmmf10809) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On the feasibility of detecting thin conductive layers from field measurements on the surface of a medium

A. S. Barashkov

National Research University MPEI, Moscow, Russia
Citations (2)
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DOI: https://doi.org/10.31857/S004446690003557-3
Abstract: A two-dimensional environment in which the fields are described by the Helmholtz equation is considered. A linearized formulation of the problem of the recovery of medium parameters (an inverse problem for the Helmholtz equation) is studied. The conditions for the unique detection of thin conductive layers are established. Examples of nonuniqueness of the solution of the inverse problem from information that initially seemed redundant even for a unique solution are given.
Key words: two-dimensional medium, inverse problem for the Helmholtz equation, linearized formulation, infinite strip, uniqueness theorems, examples of the nonunique recovery of medium parameters, Fourier transform.
Received: 17.01.2018
English version:
Computational Mathematics and Mathematical Physics, 2018, Volume 58, Issue 12, Pages 2043–2052
DOI: https://doi.org/10.1134/S0965542518120047
Bibliographic databases:
Document Type: Article
UDC: 517.955
Language: Russian
Citation: A. S. Barashkov, “On the feasibility of detecting thin conductive layers from field measurements on the surface of a medium”, Zh. Vychisl. Mat. Mat. Fiz., 58:12 (2018), 2127–2138; Comput. Math. Math. Phys., 58:12 (2018), 2043–2052
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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