Standard

On the Monte Carlo based algorithm for the estimation of bidirectional angular characteristics of polarized radiation. / Tracheva, Natalya V.; Ukhinov, Sergey A.

24th International Symposium on Atmospheric and Ocean Optics: Atmospheric Physics. ed. / Oleg A. Romanovskii; Gennadii G. Matvienko. Vol. 10833 SPIE, 2018. 1083323 (Proceedings of SPIE; Vol. 10833).

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

Harvard

Tracheva, NV & Ukhinov, SA 2018, On the Monte Carlo based algorithm for the estimation of bidirectional angular characteristics of polarized radiation. in OA Romanovskii & GG Matvienko (eds), 24th International Symposium on Atmospheric and Ocean Optics: Atmospheric Physics. vol. 10833, 1083323, Proceedings of SPIE, vol. 10833, SPIE, 24th International Symposium on Atmospheric and Ocean Optics - Atmospheric Physics, Tomsk, Russian Federation, 02.07.2018. https://doi.org/10.1117/12.2504460

APA

Tracheva, N. V., & Ukhinov, S. A. (2018). On the Monte Carlo based algorithm for the estimation of bidirectional angular characteristics of polarized radiation. In O. A. Romanovskii, & G. G. Matvienko (Eds.), 24th International Symposium on Atmospheric and Ocean Optics: Atmospheric Physics (Vol. 10833). [1083323] (Proceedings of SPIE; Vol. 10833). SPIE. https://doi.org/10.1117/12.2504460

Vancouver

Tracheva NV, Ukhinov SA. On the Monte Carlo based algorithm for the estimation of bidirectional angular characteristics of polarized radiation. In Romanovskii OA, Matvienko GG, editors, 24th International Symposium on Atmospheric and Ocean Optics: Atmospheric Physics. Vol. 10833. SPIE. 2018. 1083323. (Proceedings of SPIE). doi: 10.1117/12.2504460

Author

Tracheva, Natalya V. ; Ukhinov, Sergey A. / On the Monte Carlo based algorithm for the estimation of bidirectional angular characteristics of polarized radiation. 24th International Symposium on Atmospheric and Ocean Optics: Atmospheric Physics. editor / Oleg A. Romanovskii ; Gennadii G. Matvienko. Vol. 10833 SPIE, 2018. (Proceedings of SPIE).

BibTeX

@inproceedings{550beedd0a6f497db0ecdd31bec08faf,
title = "On the Monte Carlo based algorithm for the estimation of bidirectional angular characteristics of polarized radiation",
abstract = "This paper is focused on the Monte Carlo based projective algorithm for the estimation of bidirectional angular characteristics of polarized radiation, namely, radiation intensity and degree of polarization, transmitted through and reflected by optically thick layers of the scattering and absorbing media. We discuss two different approaches to the construction of the basic functions set for this method realization. We prove the identity of two considered projective expansions in the case of an axisymmetric type of the problem. Hemispherical harmonics, designed on the basis of associated shifted Jacobi polynomials, in comparison with those, designed as a factorization of modified Jacobi and Legendre polynomials are considered.",
keywords = "Associated Jacobi polynomials, Hemispherical harmonics, Monte Carlo method, Orthogonal expansion, Radiation transfer, Statistical modeling",
author = "Tracheva, {Natalya V.} and Ukhinov, {Sergey A.}",
year = "2018",
month = jan,
day = "1",
doi = "10.1117/12.2504460",
language = "English",
volume = "10833",
series = "Proceedings of SPIE",
publisher = "SPIE",
editor = "Romanovskii, {Oleg A.} and Matvienko, {Gennadii G.}",
booktitle = "24th International Symposium on Atmospheric and Ocean Optics",
address = "United States",
note = "24th International Symposium on Atmospheric and Ocean Optics - Atmospheric Physics ; Conference date: 02-07-2018 Through 05-07-2018",

}

RIS

TY - GEN

T1 - On the Monte Carlo based algorithm for the estimation of bidirectional angular characteristics of polarized radiation

AU - Tracheva, Natalya V.

AU - Ukhinov, Sergey A.

PY - 2018/1/1

Y1 - 2018/1/1

N2 - This paper is focused on the Monte Carlo based projective algorithm for the estimation of bidirectional angular characteristics of polarized radiation, namely, radiation intensity and degree of polarization, transmitted through and reflected by optically thick layers of the scattering and absorbing media. We discuss two different approaches to the construction of the basic functions set for this method realization. We prove the identity of two considered projective expansions in the case of an axisymmetric type of the problem. Hemispherical harmonics, designed on the basis of associated shifted Jacobi polynomials, in comparison with those, designed as a factorization of modified Jacobi and Legendre polynomials are considered.

AB - This paper is focused on the Monte Carlo based projective algorithm for the estimation of bidirectional angular characteristics of polarized radiation, namely, radiation intensity and degree of polarization, transmitted through and reflected by optically thick layers of the scattering and absorbing media. We discuss two different approaches to the construction of the basic functions set for this method realization. We prove the identity of two considered projective expansions in the case of an axisymmetric type of the problem. Hemispherical harmonics, designed on the basis of associated shifted Jacobi polynomials, in comparison with those, designed as a factorization of modified Jacobi and Legendre polynomials are considered.

KW - Associated Jacobi polynomials

KW - Hemispherical harmonics

KW - Monte Carlo method

KW - Orthogonal expansion

KW - Radiation transfer

KW - Statistical modeling

UR - http://www.scopus.com/inward/record.url?scp=85061085403&partnerID=8YFLogxK

U2 - 10.1117/12.2504460

DO - 10.1117/12.2504460

M3 - Conference contribution

AN - SCOPUS:85061085403

VL - 10833

T3 - Proceedings of SPIE

BT - 24th International Symposium on Atmospheric and Ocean Optics

A2 - Romanovskii, Oleg A.

A2 - Matvienko, Gennadii G.

PB - SPIE

T2 - 24th International Symposium on Atmospheric and Ocean Optics - Atmospheric Physics

Y2 - 2 July 2018 through 5 July 2018

ER -

ID: 18908024