This article is cited in 2 papers

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

A. Yu. Ambos^a, G. A. Mikhailov<sup>ab

a</sup> Institute of Computational Mathematics and Mathematical Geophysics, Siberian Branch, Russian Academy of Sciences, pr. Akad. Lavrent'eva 6, Novosibirsk, 630090 Russia
^b Novosibirsk State University, ul. Pirogova 2, Novosibirsk, 630090 Russia

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.

Key words: Monte Carlo method, Poisson ensemble, random medium, correlation function, correlation radius, radiative transfer, transmission function, transmission probability, delta scattering, double randomization method.

UDC: 519.245

Received: 02.04.2018
Revised: 25.04.2018

DOI: 10.15372/SJNM20180401

 English version: Numerical Analysis and Applications, 2018, 11:4, 279–292

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