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

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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.

Original languageEnglish
Title of host publication24th International Symposium on Atmospheric and Ocean Optics
Subtitle of host publicationAtmospheric Physics
EditorsOleg A. Romanovskii, Gennadii G. Matvienko
PublisherSPIE
Number of pages10
Volume10833
ISBN (Electronic)9781510622913
DOIs
Publication statusPublished - 1 Jan 2018
Event24th International Symposium on Atmospheric and Ocean Optics - Atmospheric Physics - Tomsk, Russian Federation
Duration: 2 Jul 20185 Jul 2018

Publication series

NameProceedings of SPIE
PublisherSPIE-INT SOC OPTICAL ENGINEERING
Volume10833
ISSN (Print)0277-786X

Conference

Conference24th International Symposium on Atmospheric and Ocean Optics - Atmospheric Physics
CountryRussian Federation
CityTomsk
Period02.07.201805.07.2018

Keywords

  • Associated Jacobi polynomials
  • Hemispherical harmonics
  • Monte Carlo method
  • Orthogonal expansion
  • Radiation transfer
  • Statistical modeling

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