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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2007, Volume 47, Number 7, Pages 1264–1275 (Mi zvmmf284)  
This article is cited in 3 scientific papers (total in 3 papers)

Monte Carlo study of time asymptotics of the polarized radiation intensity

G. A. Mikhailov, N. V. Tracheva, S. A. Uhinov

Institute of Computational Mathematics and Mathematical Geophysics, Siberian Division, Russian Academy of Sciences, pr. Akademika Lavrent'eva 6, Novosibirsk, 630090, Russia
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Abstract: The parameters of time asymptotics of the polarized radiation intensity are estimated. Precision Monte Carlo estimates of these parameters are derived for finite medium layers by iterating the resolvent of the corresponding transfer operator with a given scattering matrix and by evaluating parametric time derivatives. The computations are performed for two versions of the problem: with a Rayleigh scattering matrix and an aerosol scattering matrix. It is shown that the asymptotics of the radiation intensity are affected by polarization, except for the spatially homogeneous problem, for which the results are obtained analytically.
Key words: polarized radiative transfer, time constant, statistical simulation, Monte Carlo method.
Received: 02.02.2007
English version:
Computational Mathematics and Mathematical Physics, 2007, Volume 47, Issue 7, Pages 1213–1223
DOI: https://doi.org/10.1134/S0965542507070123
Bibliographic databases:
Document Type: Article
UDC: 519.676
Language: Russian
Citation: G. A. Mikhailov, N. V. Tracheva, S. A. Uhinov, “Monte Carlo study of time asymptotics of the polarized radiation intensity”, Zh. Vychisl. Mat. Mat. Fiz., 47:7 (2007), 1264–1275; Comput. Math. Math. Phys., 47:7 (2007), 1213–1223
Citation in format AMSBIB
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\by G.~A.~Mikhailov, N.~V.~Tracheva, S.~A.~Uhinov
\paper Monte Carlo study of time asymptotics of the polarized radiation intensity
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2007
\vol 47
\issue 7
\pages 1264--1275
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2378145}
\transl
\jour Comput. Math. Math. Phys.
\yr 2007
\vol 47
\issue 7
\pages 1213--1223
\crossref{https://doi.org/10.1134/S0965542507070123}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-34547659284}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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