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Two-dimensional projection Monte Carlo estimators for the study of angular characteristics of polarized radiation. / Tracheva, Natalya V.; Ukhinov, Sergey A.

In: Russian Journal of Numerical Analysis and Mathematical Modelling, Vol. 33, No. 3, 26.06.2018, p. 187-197.

Research output: Contribution to journal › Article › peer-review

Harvard

Tracheva, NV & Ukhinov, SA 2018, 'Two-dimensional projection Monte Carlo estimators for the study of angular characteristics of polarized radiation', Russian Journal of Numerical Analysis and Mathematical Modelling, vol. 33, no. 3, pp. 187-197. https://doi.org/10.1515/rnam-2018-0016

APA

Tracheva, N. V., & Ukhinov, S. A. (2018). Two-dimensional projection Monte Carlo estimators for the study of angular characteristics of polarized radiation. Russian Journal of Numerical Analysis and Mathematical Modelling, 33(3), 187-197. https://doi.org/10.1515/rnam-2018-0016

Vancouver

Tracheva NV, Ukhinov SA. Two-dimensional projection Monte Carlo estimators for the study of angular characteristics of polarized radiation. Russian Journal of Numerical Analysis and Mathematical Modelling. 2018 Jun 26;33(3):187-197. doi: 10.1515/rnam-2018-0016

Author

Tracheva, Natalya V. ; Ukhinov, Sergey A. / Two-dimensional projection Monte Carlo estimators for the study of angular characteristics of polarized radiation. In: Russian Journal of Numerical Analysis and Mathematical Modelling. 2018 ; Vol. 33, No. 3. pp. 187-197.

BibTeX

@article{fbedad44888b48bcae324ff4f7abc46e,
title = "Two-dimensional projection Monte Carlo estimators for the study of angular characteristics of polarized radiation",
abstract = "The paper presents a Monte Carlo algorithm for the study of bidirectional angular characteristics of a scattered polarized radiation based on projection expansion of the density of the corresponding angular distribution over hemispherical harmonics. The results of numerical estimation of two-dimensional angular distributions of the intensity and the polarization degree of the radiation passed through and reflected from optically thick layers of scattering and absorbing substance are presented.",
keywords = "hemispherical harmonics, Monte Carlo methods, orthogonal expansion, radiation transfer, statistical modelling",
author = "Tracheva, {Natalya V.} and Ukhinov, {Sergey A.}",
year = "2018",
month = jun,
day = "26",
doi = "10.1515/rnam-2018-0016",
language = "English",
volume = "33",
pages = "187--197",
journal = "Russian Journal of Numerical Analysis and Mathematical Modelling",
issn = "0927-6467",
publisher = "Walter de Gruyter GmbH",
number = "3",

}

RIS

TY - JOUR

T1 - Two-dimensional projection Monte Carlo estimators for the study of angular characteristics of polarized radiation

AU - Tracheva, Natalya V.

AU - Ukhinov, Sergey A.

PY - 2018/6/26

Y1 - 2018/6/26

N2 - The paper presents a Monte Carlo algorithm for the study of bidirectional angular characteristics of a scattered polarized radiation based on projection expansion of the density of the corresponding angular distribution over hemispherical harmonics. The results of numerical estimation of two-dimensional angular distributions of the intensity and the polarization degree of the radiation passed through and reflected from optically thick layers of scattering and absorbing substance are presented.

AB - The paper presents a Monte Carlo algorithm for the study of bidirectional angular characteristics of a scattered polarized radiation based on projection expansion of the density of the corresponding angular distribution over hemispherical harmonics. The results of numerical estimation of two-dimensional angular distributions of the intensity and the polarization degree of the radiation passed through and reflected from optically thick layers of scattering and absorbing substance are presented.

KW - hemispherical harmonics

KW - Monte Carlo methods

KW - orthogonal expansion

KW - radiation transfer

KW - statistical modelling

UR - http://www.scopus.com/inward/record.url?scp=85048832714&partnerID=8YFLogxK

U2 - 10.1515/rnam-2018-0016

DO - 10.1515/rnam-2018-0016

M3 - Article

AN - SCOPUS:85048832714

VL - 33

SP - 187

EP - 197

JO - Russian Journal of Numerical Analysis and Mathematical Modelling

JF - Russian Journal of Numerical Analysis and Mathematical Modelling

SN - 0927-6467

IS - 3

ER -

ID: 14102457