Persistent random walk model for transport through thin slabs

被引：25

作者：

Boguñá, M ^{[1
]}

Porrà, JM ^{[1
]}

Masoliver, J ^{[1
]}

机构：

[1] Univ Barcelona, Dept Fis Fonamental, E-08028 Barcelona, Spain

来源：

PHYSICAL REVIEW E | 1999年 / 59卷 / 06期

关键词：

D O I：

10.1103/PhysRevE.59.6517

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

We present a model for transport in multiply scattering media based on a three-dimensional generalization of the persistent random walk. The model assumes that photons move along directions that are parallel to the axes. Although this hypothesis is not realistic, it allows us to solve exactly the problem of multiple scattering propagation in a thin slab. Among other quantities, the transmission probability and the mean transmission time can be calculated exactly. Besides being completely solvable, the model could be used as a benchmark for approximation schemes to multiple light scattering. [S1063-651X(99)10006-0].

引用

页码：6517 / 6526

页数：10

共 26 条

[1]

ALFANO RR, 1996, TOPS, V2

[2]

[Anonymous], 1978, WAVE PROPAGATION SCA, DOI DOI 10.1016/B978-0-12-374701-3.X5001-7

[3] Generalization of the persistent random walk to dimensions greater than 1 [J].

Boguñá, M ;

Porrà, JM ;

Masoliver, J .

PHYSICAL REVIEW E, 1998, 58 (06) :6992-6998

[4] MODEL FOR PHOTON MIGRATION IN TURBID BIOLOGICAL MEDIA [J].

BONNER, RF ;

NOSSAL, R ;

HAVLIN, S ;

WEISS, GH .

JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 1987, 4 (03) :423-432

[5]

CHANCE B, 1995, P SPIE, V2389

[6] RANDOM-WALK WITH PERSISTENCE [J].

CLAES, I ;

VANDENBROECK, C .

JOURNAL OF STATISTICAL PHYSICS, 1987, 49 (1-2) :383-392

[7] Time-resolved fluorescence and photon migration studies in biomedical and model random media [J].

Das, BB ;

Liu, F ;

Alfano, RR .

REPORTS ON PROGRESS IN PHYSICS, 1997, 60 (02) :227-292

[8] LONG TRANSMISSION TIMES FOR TRANSPORT THROUGH A WEAKLY SCATTERING SLAB [J].

DOERING, CR ;

RAY, TS ;

GLASSER, ML .

PHYSICAL REVIEW A, 1992, 45 (02) :825-828

[9]

DUDERSTAND J, 1979, TRANSPORT THEORY

[10] INFLUENCE OF BOUNDARY REFLECTION AND REFRACTION ON DIFFUSIVE PHOTON TRANSPORT [J].

DURIAN, DJ .

PHYSICAL REVIEW E, 1994, 50 (02) :857-866

← 1 2 3 →