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Journal of Inverse and Ill-posed Problems

Editor-in-Chief: Kabanikhin, Sergey I.


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1569-3945
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Volume 18, Issue 8

Issues

Algorithm of finding a body projection within an absorbing and scattering medium

Dmitry Sergeevich Anikonov
  • Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, 4 Acad. Koptyug avenue, 630090, Novosibirsk, Russia.
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/ Vasilii Genadievich Nazarov
  • Institute of Applied Mathematics, Far Eastern Branch of the Russian Academy of Sciences, 7 Radio street, 690041, Vladivostok, Russia.
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/ Igor Vasilievich Prokhorov
  • Institute of Applied Mathematics, Far Eastern Branch of the Russian Academy of Sciences, 7 Radio street, 690041, Vladivostok, Russia.
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Published Online: 2011-04-02 | DOI: https://doi.org/10.1515/jiip.2011.009

Abstract

The problem of an arbitrary medium probing by use of radiation flux on the bases of the monoenergetic transport equation is considered. The medium is assumed to comprise some bodies, which radiation characteristics differ from ones of the medium. The outgoing radiation density flux is assumed to be measured at a plane nonintersecting the bodies whereas the boundaries of the body projections (shadows) on the plane are to be found. The case when the direct imaging of the objects is embarrassing owing to a strong scattering and absorption within the medium. The current work is being carried out under a special project so the limitations imposed have a specific character. More definite, these limitations are adopted to the problem of the world ocean near-bottom zone probing.

Keywords.: Tomography; radiation; inverse problems; transport equation

About the article

Received: 2009-11-10

Published Online: 2011-04-02

Published in Print: 2011-03-01


Citation Information: Journal of Inverse and Ill-posed Problems, Volume 18, Issue 8, Pages 885–893, ISSN (Online) 1569-3945, ISSN (Print) 0928-0219, DOI: https://doi.org/10.1515/jiip.2011.009.

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[1]
D. S. Anikonov and V. G. Nazarov
Computational Mathematics and Mathematical Physics, 2012, Volume 52, Number 3, Page 315

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