@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",
}