New monte carlo algorithm for evaluation of outgoing polarized radiation

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This chapter is devoted to the discussion of a distinctive Monte Carlo method for evaluation of angular distribution of outgoing polarized radiation. The algorithm in consideration is based on the modification of N. N. Chentsov method for unknown probability density evaluation via the orthonormal polynomial expansion. A polarization was introduced into a mathematical model of radiation transfer with use of four-dimensional vector of Stokes parameters. Corresponding weighted Monte Carlo algorithm was constructed. Using this method and precise computer simulation, the angular distribution of outgoing radiation was investigated. Special attention was given to the value of polarization impact in the mathematical model of radiation. Algorithm in consideration allows us precisely estimate even a small effect of polarization as well as a deviation of the calculated angular distribution from the Lambertian one.

Original languageEnglish
Title of host publicationStatistics and Simulation - IWS 8, Vienna, Austria, September 2015
EditorsJ Pilz, D Rasch, VB Melas, K Moder
PublisherSpringer New York LLC
Number of pages11
ISBN (Print)9783319760346
Publication statusPublished - 1 Jan 2018
Event8th International Workshop on Simulation, IWS 2015 - Vienna, Austria
Duration: 20 Sep 201524 Sep 2015

Publication series

NameSpringer Proceedings in Mathematics & Statistics
ISSN (Print)2194-1009


Conference8th International Workshop on Simulation, IWS 2015


  • Jacobi polynomials
  • Orthogonal expansion
  • Polarization
  • Radiation transfer
  • Statistical modeling
  • Stokes vector

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