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


Cite item

Full Text

Open Access Open Access
Restricted Access Access granted
Restricted Access Subscription Access

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

Supplementary Files
Action
1. JATS XML

Copyright (c) 2016 Pleiades Publishing, Ltd.