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Sib. Zh. Vychisl. Mat., 2008, Volume 11, Number 1, Pages 55–68 (Mi sjvm33)  

This article is cited in 3 scientific papers (total in 3 papers)

Numerical solution of the inverse problem for the polarized-radiation transfer equation

A. E. Kovtanyuk, I. V. Prokhorov

Institute of Applied Mathematics, Far-Eastern Branch of the Russian Academy of Sciences

Abstract: In this paper, an inverse problem for the time-independent vector transfer equation for polarized radiation in an isotropic medium is studied. In this problem, it is required to find the attenuation factor from a known solution of the equation at the medium interface. An approach, based on using special external radiative sources, is proposed for solving this problem. A formula is derived which relates the Radon transform of the attenuation factor with the radiation-flux density at the boundary. The numerical experiments have shown an advantage of the algorithm for the polarized-radiation transfer equation over the one for scalar case.

Key words: vector transfer equation, polarized radiation, attenuation factor, Radon transform, Monte Carlo method.

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English version:
Numerical Analysis and Applications, 2008, 1:1, 46–57

UDC: 517.958:536.71
Received: 05.10.2006
Revised: 22.03.2007

Citation: A. E. Kovtanyuk, I. V. Prokhorov, “Numerical solution of the inverse problem for the polarized-radiation transfer equation”, Sib. Zh. Vychisl. Mat., 11:1 (2008), 55–68; Num. Anal. Appl., 1:1 (2008), 46–57

Citation in format AMSBIB
\Bibitem{KovPro08}
\by A.~E.~Kovtanyuk, I.~V.~Prokhorov
\paper Numerical solution of the inverse problem for the polarized-radiation transfer equation
\jour Sib. Zh. Vychisl. Mat.
\yr 2008
\vol 11
\issue 1
\pages 55--68
\mathnet{http://mi.mathnet.ru/sjvm33}
\elib{https://elibrary.ru/item.asp?id=11665693}
\transl
\jour Num. Anal. Appl.
\yr 2008
\vol 1
\issue 1
\pages 46--57
\crossref{https://doi.org/10.1007/s12258-008-1005-9}


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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. D. S. Anikonov, A. E. Kovtanyuk, D. S. Konovalova, V. G. Nazarov, I. V. Prokhorov, I. P. Yarovenko, “Radiatsionnaya tomografiya i uravnenie perenosa izlucheniya”, Dalnevost. matem. zhurn., 8:1 (2008), 5–18  mathnet  elib
    2. V. V. Vasin, V. N. Dubinin, V. G. Romanov, “Itogovyi nauchnyi otchet po mezhdistsiplinarnomu integratsionnomu proektu SO RAN: “Razrabotka teorii i vychislitelnoi tekhnologii resheniya obratnykh i ekstremalnykh zadach s prilozheniem v matematicheskoi fizike i gravimagnitorazvedke””, Sib. elektron. matem. izv., 5 (2008), 427–439  mathnet  elib
    3. A. E. Kovtanyuk, V. M. Mun, V. G. Nazarov, I. V. Prokhorov, I. P. Yarovenko, “Zadachi rentgenovskoi i opticheskoi tomografii [Itogovyi nauchnyi otchet po mezhdistsiplinarnomu integratsionnomu proektu SO RAN: “Razrabotka teorii i vychislitelnoi tekhnologii resheniya obratnykh i ekstremalnykh zadach s prilozheniem v matematicheskoi fizike i gravimagnitorazvedke”]”, Sib. elektron. matem. izv., 5 (2008), 483–498  mathnet  mathscinet
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