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Numerical Analysis and Applications

2018 year, number 4

Estimation by Monte Carlo method of functional characteristics of the radiation intensity field passing throw a random medium

A.Yu. Ambos1, G.A. Mikhailov1,2
1Institute of Computational Mathematics and Mathematical Geophysics SB RAS, pr. Acad. Lavrentieva 6, Novosibirsk, 630090, Russia
2Novosibirsk State University, Pirogova st., 2, Novosibirsk, 630090, Russia
Keywords: метод Монте-Карло, пуассоновский ансамбль, случайное поле, корреляционная функция, корреляционный радиус, перенос излучения, функция пропускания, вероятность прохождения, метод В«дельта-рассеянияВ», двойная рандомизация, Monte Carlo method, Poisson ensemble, random medium, correlation function, correlation radius, radiative transfer, transmission function, transmission probability, delta scattering, double randomization method

Abstract

Numerical-statistical estimates of correlation characteristics and averaged angle near distributions of the radiation intensity field, passing throw a random medium are obtained. Comparative investigations were performed for an elementary Poisson field and for the «realistic» field of the medium optical density. The obtained estimates confirm the hypothesis about a strong dependence of investigated values on the correlation scale and the one-dimensional distribution of the medium density field.