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


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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.

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G. Mikhailov

Novosibirsk State University; Institute of Computational Mathematics and Mathematical Geophysics, Siberian Branch

编辑信件的主要联系方式.
Email: gam@sscc.ru
俄罗斯联邦, ul. Pirogova 2, Novosibirsk, 630090; pr. Akademika Lavrent’eva 6, Novosibirsk, 630090

N. Tracheva

Institute of Computational Mathematics and Mathematical Geophysics, Siberian Branch

Email: gam@sscc.ru
俄罗斯联邦, pr. Akademika Lavrent’eva 6, Novosibirsk, 630090

S. Ukhinov

Novosibirsk State University; Institute of Computational Mathematics and Mathematical Geophysics, Siberian Branch

Email: gam@sscc.ru
俄罗斯联邦, ul. Pirogova 2, Novosibirsk, 630090; pr. Akademika Lavrent’eva 6, Novosibirsk, 630090

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