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New monte carlo algorithm for evaluation of outgoing polarized radiation. / Mikhailov, Gennady A.; Tracheva, Natalya V.; Ukhinov, Sergey A.

Statistics and Simulation - IWS 8, Vienna, Austria, September 2015. ed. / J Pilz; D Rasch; VB Melas; K Moder. Vol. 231 Springer New York LLC, 2018. p. 115-125 (Springer Proceedings in Mathematics & Statistics; Vol. 231).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review

Harvard

Mikhailov, GA, Tracheva, NV & Ukhinov, SA 2018, New monte carlo algorithm for evaluation of outgoing polarized radiation. in J Pilz, D Rasch, VB Melas & K Moder (eds), Statistics and Simulation - IWS 8, Vienna, Austria, September 2015. vol. 231, Springer Proceedings in Mathematics & Statistics, vol. 231, Springer New York LLC, pp. 115-125, 8th International Workshop on Simulation, IWS 2015, Vienna, Austria, 20.09.2015. https://doi.org/10.1007/978-3-319-76035-3_8

APA

Mikhailov, G. A., Tracheva, N. V., & Ukhinov, S. A. (2018). New monte carlo algorithm for evaluation of outgoing polarized radiation. In J. Pilz, D. Rasch, VB. Melas, & K. Moder (Eds.), Statistics and Simulation - IWS 8, Vienna, Austria, September 2015 (Vol. 231, pp. 115-125). (Springer Proceedings in Mathematics & Statistics; Vol. 231). Springer New York LLC. https://doi.org/10.1007/978-3-319-76035-3_8

Vancouver

Mikhailov GA, Tracheva NV, Ukhinov SA. New monte carlo algorithm for evaluation of outgoing polarized radiation. In Pilz J, Rasch D, Melas VB, Moder K, editors, Statistics and Simulation - IWS 8, Vienna, Austria, September 2015. Vol. 231. Springer New York LLC. 2018. p. 115-125. (Springer Proceedings in Mathematics & Statistics). doi: 10.1007/978-3-319-76035-3_8

Author

Mikhailov, Gennady A. ; Tracheva, Natalya V. ; Ukhinov, Sergey A. / New monte carlo algorithm for evaluation of outgoing polarized radiation. Statistics and Simulation - IWS 8, Vienna, Austria, September 2015. editor / J Pilz ; D Rasch ; VB Melas ; K Moder. Vol. 231 Springer New York LLC, 2018. pp. 115-125 (Springer Proceedings in Mathematics & Statistics).

BibTeX

@inproceedings{abbb648da1714868817efaf32f6665b1,
title = "New monte carlo algorithm for evaluation of outgoing polarized radiation",
abstract = "This chapter is devoted to the discussion of a distinctive Monte Carlo method for evaluation of angular distribution of outgoing polarized radiation. The algorithm in consideration is based on the modification of N. N. Chentsov method for unknown probability density evaluation via the orthonormal polynomial expansion. A polarization was introduced into a mathematical model of radiation transfer with use of four-dimensional vector of Stokes parameters. Corresponding weighted Monte Carlo algorithm was constructed. Using this method and precise computer simulation, the angular distribution of outgoing radiation was investigated. Special attention was given to the value of polarization impact in the mathematical model of radiation. Algorithm in consideration allows us precisely estimate even a small effect of polarization as well as a deviation of the calculated angular distribution from the Lambertian one.",
keywords = "Jacobi polynomials, Orthogonal expansion, Polarization, Radiation transfer, Statistical modeling, Stokes vector",
author = "Mikhailov, {Gennady A.} and Tracheva, {Natalya V.} and Ukhinov, {Sergey A.}",
year = "2018",
month = jan,
day = "1",
doi = "10.1007/978-3-319-76035-3_8",
language = "English",
isbn = "9783319760346",
volume = "231",
series = "Springer Proceedings in Mathematics & Statistics",
publisher = "Springer New York LLC",
pages = "115--125",
editor = "J Pilz and D Rasch and VB Melas and K Moder",
booktitle = "Statistics and Simulation - IWS 8, Vienna, Austria, September 2015",
address = "United States",
note = "8th International Workshop on Simulation, IWS 2015 ; Conference date: 20-09-2015 Through 24-09-2015",

}

RIS

TY - GEN

T1 - New monte carlo algorithm for evaluation of outgoing polarized radiation

AU - Mikhailov, Gennady A.

AU - Tracheva, Natalya V.

AU - Ukhinov, Sergey A.

PY - 2018/1/1

Y1 - 2018/1/1

N2 - This chapter is devoted to the discussion of a distinctive Monte Carlo method for evaluation of angular distribution of outgoing polarized radiation. The algorithm in consideration is based on the modification of N. N. Chentsov method for unknown probability density evaluation via the orthonormal polynomial expansion. A polarization was introduced into a mathematical model of radiation transfer with use of four-dimensional vector of Stokes parameters. Corresponding weighted Monte Carlo algorithm was constructed. Using this method and precise computer simulation, the angular distribution of outgoing radiation was investigated. Special attention was given to the value of polarization impact in the mathematical model of radiation. Algorithm in consideration allows us precisely estimate even a small effect of polarization as well as a deviation of the calculated angular distribution from the Lambertian one.

AB - This chapter is devoted to the discussion of a distinctive Monte Carlo method for evaluation of angular distribution of outgoing polarized radiation. The algorithm in consideration is based on the modification of N. N. Chentsov method for unknown probability density evaluation via the orthonormal polynomial expansion. A polarization was introduced into a mathematical model of radiation transfer with use of four-dimensional vector of Stokes parameters. Corresponding weighted Monte Carlo algorithm was constructed. Using this method and precise computer simulation, the angular distribution of outgoing radiation was investigated. Special attention was given to the value of polarization impact in the mathematical model of radiation. Algorithm in consideration allows us precisely estimate even a small effect of polarization as well as a deviation of the calculated angular distribution from the Lambertian one.

KW - Jacobi polynomials

KW - Orthogonal expansion

KW - Polarization

KW - Radiation transfer

KW - Statistical modeling

KW - Stokes vector

UR - http://www.scopus.com/inward/record.url?scp=85047943564&partnerID=8YFLogxK

U2 - 10.1007/978-3-319-76035-3_8

DO - 10.1007/978-3-319-76035-3_8

M3 - Conference contribution

AN - SCOPUS:85047943564

SN - 9783319760346

VL - 231

T3 - Springer Proceedings in Mathematics & Statistics

SP - 115

EP - 125

BT - Statistics and Simulation - IWS 8, Vienna, Austria, September 2015

A2 - Pilz, J

A2 - Rasch, D

A2 - Melas, VB

A2 - Moder, K

PB - Springer New York LLC

T2 - 8th International Workshop on Simulation, IWS 2015

Y2 - 20 September 2015 through 24 September 2015

ER -

ID: 13754672