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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2012, Volume 52, Number 3, Pages 372–378 (Mi zvmmf9665)  

This article is cited in 8 scientific papers (total in 8 papers)

Problem of two-beam tomography

D. S. Anikonova, V. G. Nazarovb

a Sobolev Institute of Mathematics, Siberian Branch, Russian Academy of Sciences, pr. Akademika Koptyuga 4, Novosibirsk, 630090 Russia
b bInstitute of Applied Mathematics, Far East Branch, Russian Academy of Sciences, ul. Radio 7, Vladivostok, 690041 Russia
Full-text PDF (259 kB) Citations (8)
References:
Abstract: An idea was developed suggested in a number of studies dealing with the search for inhomogeneous inclusions inside an unknown medium given the radiation measured in a plane outside the desired body. Specifically, the medium was proposed to be probed in two directions (at two angles) in contrast to previous works, where a single direction was used. Accordingly, the probing results became more informative: the determination of the object’s shadow on the measurement area (antenna) was supplemented with the possibility of localizing the desired body in space. A tomographic location algorithm was proposed that can underlie a new orientation method in arbitrary absorbing and scattering media. As before, the case was considered where direct visualization (photograph) fails to produce a distinguishable structure of the medium. The problem was solved by analyzing signals passing through the medium. A number of numerical experiments were performed by applying computer simulation. The numerical results were illustrated by plots and tomograms.
Key words: tomography, radiation, location, radiation transfer equation.
Received: 22.04.2011
Revised: 18.08.2011
English version:
Computational Mathematics and Mathematical Physics, 2012, Volume 52, Issue 3, Pages 315–320
DOI: https://doi.org/10.1134/S0965542512030037
Bibliographic databases:
Document Type: Article
UDC: 519.624.2
Language: Russian
Citation: D. S. Anikonov, V. G. Nazarov, “Problem of two-beam tomography”, Zh. Vychisl. Mat. Mat. Fiz., 52:3 (2012), 372–378; Comput. Math. Math. Phys., 52:3 (2012), 315–320
Citation in format AMSBIB
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  • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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    References:86
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