A boundary-value problem for the polarized-radiation transfer equation with Fresnel interface conditions for a layered medium

被引：19

作者：

Kovtanyuk, A. E. ^{[1
]}

Prokhorov, I. V. ^{[1
]}

机构：

[1] Russian Acad Sci, Inst Appl Math, Far Eastern Div, Vladivostok 690041, Russia

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2011年 / 235卷 / 08期

基金：

俄罗斯基础研究基金会;

关键词：

Vector transfer equation; Polarized radiation; Fresnel interface conditions; Monte Carlo method;

D O I：

10.1016/j.cam.2010.10.001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A boundary-value problem for the polarized-radiation transfer equation for a layered medium with Fresnel matching conditions at the boundaries of the medium partition is examined. The theorems of solvability of the boundary-value problem are proved, and the continuity properties for its solution are examined. A numerical algorithm based on the Monte Carlo method for solving the boundary-value problem is proposed and proved. (C) 2010 Elsevier B.V. All rights reserved.

引用

页码：2006 / 2014

页数：9

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