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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2018, Volume 21, Number 4, Pages 349–365
DOI: https://doi.org/10.15372/SJNM20180401 (Mi sjvm689) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Estimation by Monte Carlo method of functional characteristics of the radiation intensity field passing throw a random medium

A. Yu. Ambosa, G. A. Mikhailovab

a Institute of Computational Mathematics and Mathematical Geophysics, Siberian Branch, Russian Academy of Sciences, pr. Akad. Lavrent'eva 6, Novosibirsk, 630090 Russia
b Novosibirsk State University, ul. Pirogova 2, Novosibirsk, 630090 Russia
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DOI: https://doi.org/10.15372/SJNM20180401
Abstract: Numerical-statistical estimates of correlation characteristics and averaged angle near distributions of the radiation intensity field, passing throw a random medium are obtained. Comparative investigations were performed for an elementary Poisson field and for the “realistic” field of the medium optical density. The obtained estimates confirm the hypothesis about a strong dependence of investigated values on the correlation scale and the one-dimensional distribution of the medium density field.
Key words: Monte Carlo method, Poisson ensemble, random medium, correlation function, correlation radius, radiative transfer, transmission function, transmission probability, delta scattering, double randomization method.
Funding agency Grant number
Russian Academy of Sciences - Federal Agency for Scientific Organizations 0315-2016-0002
Russian Foundation for Basic Research 16-01-00530
17-01-00823
18-01-00356
This work was performed under Institute of Computational Mathematics and Mathematical Geophysics SB RAS State Order (project no. 0315-2016-0002). Work of Sections 4–6 was supported by the RFBR (projects nos. 16-01-00530, 17-01-00823, and 18-01-00356).
Received: 02.04.2018
Revised: 25.04.2018
English version:
Numerical Analysis and Applications, 2018, Volume 11, Issue 4, Pages 279–292
DOI: https://doi.org/10.1134/S1995423918040018
Bibliographic databases:
Document Type: Article
UDC: 519.245
Language: Russian
Citation: A. Yu. Ambos, G. A. Mikhailov, “Estimation by Monte Carlo method of functional characteristics of the radiation intensity field passing throw a random medium”, Sib. Zh. Vychisl. Mat., 21:4 (2018), 349–365; Num. Anal. Appl., 11:4 (2018), 279–292
Citation in format AMSBIB
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