Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki
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


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




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

Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2016, Volume 56, Number 9, Pages 1560–1570
DOI: https://doi.org/10.7868/S0044466916090155 (Mi zvmmf10459) 		 
This article is cited in 17 scientific papers (total in 17 papers)

Randomized projection method for estimating angular distributions of polarized radiation based on numerical statistical modeling

G. A. Mikhailovab, N. V. Trachevaa, S. A. Ukhinovab

a Institute of Computational Mathematics and Mathematical Geophysics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia
Full-text PDF (290 kB) Citations (17)
References:
PDF
HTML
DOI: https://doi.org/10.7868/S0044466916090155
Abstract: To study the intensity of radiation transmitted through a layer of substance, a Monte Carlo algorithm is developed based on the expansion of the corresponding angular distribution density in terms of orthonormalized polynomials with a “Lambert” weight. The algorithm is optimized so as to simplify the computations as much as possible. Even a small effect of polarization and the deviation of the angular distribution from the Lambert one can be estimated rather accurately by applying the algorithm.
Key words: statistical modeling, polarized radiation transfer, orthogonal expansion.
Funding agency Grant number
Russian Academy of Sciences - Federal Agency for Scientific Organizations I.33
Russian Foundation for Basic Research 15-01-00894_а
16-01-00530_а
16-31-00123_мол_а
Received: 28.10.2015
English version:
Computational Mathematics and Mathematical Physics, 2016, Volume 56, Issue 9, Pages 1540–1550
DOI: https://doi.org/10.1134/S0965542516090141
Bibliographic databases:
Document Type: Article
UDC: 519.676
Language: Russian
Citation: G. A. Mikhailov, N. V. Tracheva, S. A. Ukhinov, “Randomized projection method for estimating angular distributions of polarized radiation based on numerical statistical modeling”, Zh. Vychisl. Mat. Mat. Fiz., 56:9 (2016), 1560–1570; Comput. Math. Math. Phys., 56:9 (2016), 1540–1550
Citation in format AMSBIB
\Bibitem{MikTraUhi16}
\by G.~A.~Mikhailov, N.~V.~Tracheva, S.~A.~Ukhinov
\paper Randomized projection method for estimating angular distributions of polarized radiation based on numerical statistical modeling
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2016
\vol 56
\issue 9
\pages 1560--1570
\mathnet{http://mi.mathnet.ru/zvmmf10459}
\crossref{https://doi.org/10.7868/S0044466916090155}
\elib{https://elibrary.ru/item.asp?id=26498081}
\transl
\jour Comput. Math. Math. Phys.
\yr 2016
\vol 56
\issue 9
\pages 1540--1550
\crossref{https://doi.org/10.1134/S0965542516090141}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000385164100003}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84989872320}
Linking options:
  • https://www.mathnet.ru/eng/zvmmf10459
  • https://www.mathnet.ru/eng/zvmmf/v56/i9/p1560
    • This publication is cited in the following 17 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
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025