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Journal of Inverse and Ill-posed Problems

Editor-in-Chief: Kabanikhin, Sergey I.

6 Issues per year


IMPACT FACTOR increased in 2014: 0.880
Rank 74 out of 310 in category Mathematics and 113 out of 255 in Applied Mathematics in the 2014 Thomson Reuters Journal Citation Report/Science Edition

SCImago Journal Rank (SJR): 0.466
Source Normalized Impact per Paper (SNIP): 1.251

Mathematical Citation Quotient 2013: 0.51

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

1Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, 4 Acad. Koptyug avenue, 630090, Novosibirsk, Russia.

2Institute of Applied Mathematics, Far Eastern Branch of the Russian Academy of Sciences, 7 Radio street, 690041, Vladivostok, Russia.

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: 10.1515/jiip.2011.009, April 2011

Publication History

Received:
2009-11-10
Published Online:
2011-04-02

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

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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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