Monte Carlo Estimation of Functional Characteristics of Field Intensity of Radiation Passing through a Random Medium

被引：2

作者：

Ambos, A. Yu. ^{[1
]}

Mikhailov, G. A. ^{[1
,2
]}

机构：

[1] Russian Acad Sci, Siberian Branch, Inst Computat Math & Math Geophys, Pr Akad Lavrenteva 6, Novosibirsk 630090, Russia

[2] Novosibirsk State Univ, Ul Pirogova 2, Novosibirsk 630090, Russia

来源：

NUMERICAL ANALYSIS AND APPLICATIONS | 2018年 / 11卷 / 04期

关键词：

Monte Carlo method; Poisson ensemble; random medium; correlation function; correlation radius; radiative transfer; transmission function; transmission probability; delta scattering; double randomization method;

D O I：

10.1134/S1995423918040018

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Numerical-statistical estimates of correlation characteristics and averaged angular distributions of field intensity of radiation passing through a randommedium are obtained. Comparative investigations are performed for an elementary Poisson field and for a realistic field of optical density of the medium. The estimates obtained confirm the hypothesis that the quantities being investigated are strongly dependent on the correlation scale and the one-dimensional distribution of the density field.

引用

页码：279 / 292

页数：14

共 20 条

[1] Effective averaging of stochastic radiative models based on Monte Carlo simulation [J].

Ambos, A. Yu. ;

Mikhailov, G. A. .

COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2016, 56 (05) :881-893

[2] Numerical Models of Mosaic Homogeneous Isotropic Random Fields and Problems of Radiative Transfer [J].

Ambos, A. Yu. .

NUMERICAL ANALYSIS AND APPLICATIONS, 2016, 9 (01) :12-23

[3]

Ambos A.Yu., 2011, RUSS J NUM AN MATH M

[4] Solution of radiative transfer theory problems for 'realistic' models of random media using the Monte Carlo method [J].

Ambos, Andrey Yu. ;

Mikhailov, Gennady A. .

RUSSIAN JOURNAL OF NUMERICAL ANALYSIS AND MATHEMATICAL MODELLING, 2016, 31 (03) :127-136

[5]

Borovkov A.A., 1998, MATEMATICHESKAYA STA

[6]

Feigelson E.M., 1978, POTOKI SOLNECHNOGO I

[7]

Kullback S., 1959, INFORM THEORY STAT

[8] Monte Carlo algorithms for calculation of diffusive characteristics of an electron avalanche in gases [J].

Lotova, Galiya Z. .

RUSSIAN JOURNAL OF NUMERICAL ANALYSIS AND MATHEMATICAL MODELLING, 2016, 31 (06) :369-377

[9]

Marchuk G., 1980, MONTE CARLO METHODS

[10] New computational model of an isotropic "broken" exponentially correlated random field [J].

Mikhailov, G. A. ;

Ambos, A. Yu. .

DOKLADY MATHEMATICS, 2016, 94 (01) :411-414

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