An explicit formulation for the inverse transport problem using only external detectors - Part I: Computational Modelling

被引：1

作者：

Alvarez Acevedo, Nancy I. ^{[1
]}

Roberty, Nilson Costa ^{[2
]}

Silva Neto, Antonio J. ^{[1
]}

机构：

[1] UERJ, IPRJ, Inst Politecn, Dept Mech Engn & Energy, BR-28601970 Nova Friburgo, RJ, Brazil

[2] Univ Fed Rio de Janeiro, PEN COPPE, Nucl Engn Program, BR-21945970 Rio De Janeiro, Brazil

来源：

COMPUTATIONAL & APPLIED MATHEMATICS | 2010年 / 29卷 / 03期

关键词：

inverse problems; Discrete Ordinates Method; linear transport equation; radiative properties; DISCRETE-ORDINATES SOLUTION; RADIATIVE HEAT-TRANSFER; TIME-INDEPENDENT EQUATION; MONTE-CARLO METHOD; OPTICAL TOMOGRAPHY; SCATTERING; RECONSTRUCTION; ABSORPTION; DIFFUSE; MEDIA;

D O I：

10.1590/S1807-03022010000300002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the present work the inverse problem of identification of radiative properties, the total extinction and scattering coefficients, is analyzed and explicitly formulated based in an elementary semi-group theory. The Chandrasekhar discrete ordinates finite dimensional approximation of the angular variables is used for the direct problem representation with the stationary Linear Transport (Boltzmann) Equation in absorbing and scattering media in matrix form. For the inverse problem we suppose known the albedo operator from measured intensities at the boundaries of the medium. Here we analize the inverse problem for an N-dimensional medium and from the solution of the transmission problem we present an explicit form for the matrix that contains the total extinction and scattering coefficients.

引用

页码：343 / 358

页数：16