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

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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.

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Authors and Affiliations

  1. Laboratory of Monte Carlo Methods, Institute of Computational Mathematics and Mathematical Geophysics SB RAS, Prospect Akademika Lavrentjeva 6, Novosibirsk, Russia, 630090

    Natalya Tracheva & Sergey Ukhinov

  2. Mechanics and Mathematics Department, Novosibirsk State University, Pirogova str. 2, Novosibirsk, Russia, 630090

    Natalya Tracheva & Sergey Ukhinov

Authors
  1. Natalya Tracheva
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  2. Sergey Ukhinov
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Corresponding author

Correspondence to Natalya Tracheva.

Additional information

The reported study was partially funded by RFBR according to the research projects 17-01-00823, 18-01-00356, 18-31-00213 and was conducted within the framework of the budget project 0315-2016-0002 for ICMMG SB RAS. We gratefully acknowledge the Siberian Supercomputer Center of the Siberian Branch of the Russian Academy of Sciences (SB RAS) for providing supercomputer facilities.

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Tracheva, N., Ukhinov, S. On the evaluation of spatial–angular distributions of polarization characteristics of scattered radiation. Stat Papers 59, 1541–1557 (2018). https://doi.org/10.1007/s00362-018-1034-9

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  • DOI: https://doi.org/10.1007/s00362-018-1034-9

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