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

Natalya V. Tracheva; Sergey A. Ukhinov

doi:10.1117/12.2504460

13 December 2018 On the Monte Carlo based algorithm for the estimation of bidirectional angular characteristics of polarized radiation

Natalya V. Tracheva, Sergey A. Ukhinov

Author Affiliations +

Proceedings Volume 10833, 24th International Symposium on Atmospheric and Ocean Optics: Atmospheric Physics; 1083323 (2018) https://doi.org/10.1117/12.2504460
Event: XXIV International Symposium, Atmospheric and Ocean Optics, Atmospheric Physics, 2018, Tomsk, Russian Federation

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.

Citation Download Citation

Natalya V. Tracheva and Sergey A. Ukhinov "On the Monte Carlo based algorithm for the estimation of bidirectional angular characteristics of polarized radiation", Proc. SPIE 10833, 24th International Symposium on Atmospheric and Ocean Optics: Atmospheric Physics, 1083323 (13 December 2018); https://doi.org/10.1117/12.2504460

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