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

Natalya Tracheva () and Sergey Ukhinov ()
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Natalya Tracheva: Institute of Computational Mathematics and Mathematical Geophysics SB RAS
Sergey Ukhinov: Institute of Computational Mathematics and Mathematical Geophysics SB RAS

Statistical Papers, 2018, vol. 59, issue 4, No 17, 1557 pages

Abstract: 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: Monte Carlo method; Radiation transfer; Orthogonal expansion; Hemispherical harmonics; Jacobi polynomials; Legendre polynomials (search for similar items in EconPapers)
Date: 2018
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DOI: 10.1007/s00362-018-1034-9

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