Результаты исследований: Публикации в книгах, отчётах, сборниках, трудах конференций › статья в сборнике материалов конференции › научная › Рецензирование
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. ред. / J Pilz; D Rasch; VB Melas; K Moder. Том 231 Springer New York LLC, 2018. стр. 115-125 (Springer Proceedings in Mathematics & Statistics; Том 231).Результаты исследований: Публикации в книгах, отчётах, сборниках, трудах конференций › статья в сборнике материалов конференции › научная › Рецензирование
}
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