On the evaluation of spatial–angular distributions of polarization characteristics of scattered radiation

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On the evaluation of spatial–angular distributions of polarization characteristics of scattered radiation. / Tracheva, Natalya ; Ukhinov, Sergey.

In: Statistical Papers, Vol. 59, No. 4, 01.12.2018, p. 1541-1557.

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

BibTeX

@article{b640507b68434b4fa3402db16d579a54,

title = "On the evaluation of spatial–angular distributions of polarization characteristics of scattered radiation",

abstract = "This paper is focused on a Monte Carlo based projective algorithm for the estimation of bidirectional angular characteristics of scattered polarized radiation in the context of different sets of basic functions, normalized with certain weights. We consider 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. We provide a review of results of numerical simulation of two-dimensional angular distributions of the radiation intensity and degree of polarization, transmitted through and reflected by optically thick layers of the scattering and absorbing media.",

keywords = "Hemispherical harmonics, Jacobi polynomials, Legendre polynomials, Monte Carlo method, Orthogonal expansion, Radiation transfer",

author = "Natalya Tracheva and Sergey Ukhinov",

year = "2018",

month = dec,

day = "1",

doi = "10.1007/s00362-018-1034-9",

language = "English",

volume = "59",

pages = "1541--1557",

journal = "Statistical Papers",

issn = "0932-5026",

publisher = "Springer New York",

number = "4",

}

RIS

TY - JOUR

T1 - On the evaluation of spatial–angular distributions of polarization characteristics of scattered radiation

AU - Tracheva, Natalya

AU - Ukhinov, Sergey

PY - 2018/12/1

Y1 - 2018/12/1

N2 - This paper is focused on a Monte Carlo based projective algorithm for the estimation of bidirectional angular characteristics of scattered polarized radiation in the context of different sets of basic functions, normalized with certain weights. We consider 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. We provide a review of results of numerical simulation of two-dimensional angular distributions of the radiation intensity and degree of polarization, transmitted through and reflected by optically thick layers of the scattering and absorbing media.

AB - This paper is focused on a Monte Carlo based projective algorithm for the estimation of bidirectional angular characteristics of scattered polarized radiation in the context of different sets of basic functions, normalized with certain weights. We consider 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. We provide a review of results of numerical simulation of two-dimensional angular distributions of the radiation intensity and degree of polarization, transmitted through and reflected by optically thick layers of the scattering and absorbing media.

KW - Hemispherical harmonics

KW - Jacobi polynomials

KW - Legendre polynomials

KW - Monte Carlo method

KW - Orthogonal expansion

KW - Radiation transfer

UR - http://www.scopus.com/inward/record.url?scp=85053277101&partnerID=8YFLogxK

U2 - 10.1007/s00362-018-1034-9

DO - 10.1007/s00362-018-1034-9

M3 - Article

AN - SCOPUS:85053277101

VL - 59

SP - 1541

EP - 1557

JO - Statistical Papers

JF - Statistical Papers

SN - 0932-5026

IS - 4

ER -

ID: 16568767