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

Author

Listed:
  • Natalya Tracheva

    (Institute of Computational Mathematics and Mathematical Geophysics SB RAS
    Novosibirsk State University)

  • Sergey Ukhinov

    (Institute of Computational Mathematics and Mathematical Geophysics SB RAS
    Novosibirsk State University)

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.

Suggested Citation

  • Natalya Tracheva & Sergey Ukhinov, 2018. "On the evaluation of spatial–angular distributions of polarization characteristics of scattered radiation," Statistical Papers, Springer, vol. 59(4), pages 1541-1557, December.
    • Handle: RePEc:spr:stpapr:v:59:y:2018:i:4:d:10.1007_s00362-018-1034-9
    DOI: 10.1007/s00362-018-1034-9
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