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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2016 Volume 56, Number 9, Pages 1560–1570 (Mi zvmmf10459)

This article is cited in 17 papers

Randomized projection method for estimating angular distributions of polarized radiation based on numerical statistical modeling

G. A. Mikhailovab, N. V. Trachevaa, S. A. Ukhinovab

a Institute of Computational Mathematics and Mathematical Geophysics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia

Abstract: To study the intensity of radiation transmitted through a layer of substance, a Monte Carlo algorithm is developed based on the expansion of the corresponding angular distribution density in terms of orthonormalized polynomials with a “Lambert” weight. The algorithm is optimized so as to simplify the computations as much as possible. Even a small effect of polarization and the deviation of the angular distribution from the Lambert one can be estimated rather accurately by applying the algorithm.

Key words: statistical modeling, polarized radiation transfer, orthogonal expansion.

UDC: 519.676

Received: 28.10.2015

DOI: 10.7868/S0044466916090155


 English version:
Computational Mathematics and Mathematical Physics, 2016, 56:9, 1540–1550

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