Asymptotic estimates of the mean probability of radiative transfer through an exponentially correlated stochastic medium

被引:3
作者
Mikhailov, G. A. [1 ]
机构
[1] Russian Acad Sci, Inst Computat Math & Math Geophys, Siberian Branch, Novosibirsk 630090, Russia
基金
俄罗斯基础研究基金会;
关键词
Poisson ensemble; piecewise-constant random field; correlation function; quantum of radiation; maximal cross-section method; renewal equation; central limit theorem;
D O I
10.1134/S0001433812060084
中图分类号
P4 [大气科学(气象学)];
学科分类号
0706 ; 070601 ;
摘要
Various models of exponentially correlated random fields associated with Poisson point ensembles, as well as algorithms for simulating radiative transfer in stochastic media of that type, are considered. Asymptotic estimates for the mean probability of particle (quantum of radiation) passage, assuming that the flow of trajectory intersections with domains of constant random density is Poissonian and using the central limit theorem for the corresponding optical length, are made.
引用
收藏
页码:618 / 624
页数:7
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