Sibirskii Zhurnal Vychislitel'noi Matematiki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Sib. Zh. Vychisl. Mat.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Sibirskii Zhurnal Vychislitel'noi Matematiki, 2008, Volume 11, Number 1, Pages 55–68 (Mi sjvm33)  
This article is cited in 8 scientific papers (total in 8 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
Full-text PDF (1210 kB) Citations (8)
References:
PDF
HTML
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.
Received: 05.10.2006
Revised: 22.03.2007
English version:
Numerical Analysis and Applications, 2008, Volume 1, Issue 1, Pages 46–57
DOI: https://doi.org/10.1007/s12258-008-1005-9
Bibliographic databases:
UDC: 517.958:536.71
Language: Russian
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}
Linking options:
  • https://www.mathnet.ru/eng/sjvm33
  • https://www.mathnet.ru/eng/sjvm/v11/i1/p55
    • 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
    		Sibirskii Zhurnal Vychislitel'noi Matematiki
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025