A least square finite element formulation of the collimated irradiation in frequency domain for optical tomography applications

被引：16

作者：

Balima, O. ^{[1
]}

Pierre, T. ^{[1
]}

Charette, A. ^{[1
]}

Marceau, D. ^{[2
]}

机构：

[1] Univ Quebec Chicoutimi, Grp Rech Ingn Procedes & Syst, Chicoutimi, PQ G7H 2B1, Canada

[2] Univ Quebec Chicoutimi, Ctr Univ Rech Aluminium, Chicoutimi, PQ G7H 2B1, Canada

来源：

JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER | 2010年 / 111卷 / 02期

关键词：

Radiative transfer equation; Frequency modulation; Finite element method; Discrete ordinates method; RADIATIVE-TRANSFER; ANISOTROPIC SCATTERING; EQUATION;

D O I：

10.1016/j.jqsrt.2009.07.002

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

This paper presents an extension of the least square finite element formulation associated to the discrete ordinates method to solve collimated irradiation problems in frequency domain. The features of the method are shown with a separation of the intensity into its collimated and scattered parts for a better handling of discontinuities due to the boundary conditions of Dinchlet type used in optical tomography applications. Numerical tests are used to gauge the accuracy of the model in both isotropic and anisotropic scattering media, with and without frequency modulation. The results show that the method is accurate compared to some reference solutions. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：280 / 286

页数：7

共 17 条

[1] Optical tomography in medical imaging [J].

Arridge, SR .

INVERSE PROBLEMS, 1999, 15 (02) :R41-R93

[2]

Balima O., 2008, ADV COMPUTATIONAL ME

[3] Reconstruction optical spectroscopy using transient radiative transfer equation and pulsed laser: a numerical study [J].

Boulanger, J ;

Charette, A .

JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER, 2005, 93 (1-3) :325-336

[4]

BROOKS AN, 1990, COMPUTER METHODS APP, P199

[5] IMPROVED TREATMENT OF SCATTERING USING THE DISCRETE ORDINATES METHOD [J].

CHAI, JC ;

LEE, HS ;

PATANKAR, SV .

JOURNAL OF HEAT TRANSFER-TRANSACTIONS OF THE ASME, 1994, 116 (01) :260-263

[6]

CHARETTE A, 2007, 5 INT S RAD TRANSF B

[7] TVB RUNGE-KUTTA LOCAL PROJECTION DISCONTINUOUS GALERKIN FINITE-ELEMENT METHOD FOR CONSERVATION-LAWS .2. GENERAL FRAMEWORK [J].

COCKBURN, B ;

SHU, CW .

MATHEMATICS OF COMPUTATION, 1989, 52 (186) :411-435

[8] DISCRETE-ORDINATES SOLUTIONS OF THE RADIATIVE TRANSPORT-EQUATION FOR RECTANGULAR ENCLOSURES [J].

FIVELAND, WA .

JOURNAL OF HEAT TRANSFER-TRANSACTIONS OF THE ASME, 1984, 106 (04) :699-706

[9]

HECHT F., 2008, FREEFEM

[10]

KIM HK, 2007, J QUANTITATIVE SPECT, P248

← 1 2 →