Randomized projection method for estimating angular distributions of polarized radiation based on numerical statistical modeling
- Authors: Mikhailov G.A.1,2, Tracheva N.V.2, Ukhinov S.A.1,2
-
Affiliations:
- Novosibirsk State University
- Institute of Computational Mathematics and Mathematical Geophysics, Siberian Branch
- Issue: Vol 56, No 9 (2016)
- Pages: 1540-1550
- Section: Article
- URL: https://journal-vniispk.ru/0965-5425/article/view/178631
- DOI: https://doi.org/10.1134/S0965542516090141
- ID: 178631
Cite item
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.
About the authors
G. A. Mikhailov
Novosibirsk State University; Institute of Computational Mathematics and Mathematical Geophysics, Siberian Branch
Author for correspondence.
Email: gam@sscc.ru
Russian Federation, ul. Pirogova 2, Novosibirsk, 630090; pr. Akademika Lavrent’eva 6, Novosibirsk, 630090
N. V. Tracheva
Institute of Computational Mathematics and Mathematical Geophysics, Siberian Branch
Email: gam@sscc.ru
Russian Federation, pr. Akademika Lavrent’eva 6, Novosibirsk, 630090
S. A. Ukhinov
Novosibirsk State University; Institute of Computational Mathematics and Mathematical Geophysics, Siberian Branch
Email: gam@sscc.ru
Russian Federation, ul. Pirogova 2, Novosibirsk, 630090; pr. Akademika Lavrent’eva 6, Novosibirsk, 630090
Supplementary files
