Radiative transport in a periodic structure

被引：26

作者：

Bal, G ^{[1
]}

Fannjiang, A

Papanicolaou, G

Ryzhik, L

机构：

[1] Stanford Univ, Dept Math, Stanford, CA 94305 USA

[2] Univ Calif Davis, Dept Math, Davis, CA 95616 USA

[3] Univ Chicago, Dept Math, Chicago, IL 60637 USA

来源：

JOURNAL OF STATISTICAL PHYSICS | 1999年 / 95卷 / 1-2期

关键词：

radiative transport; waves in random media; Wigner distribution; semiclassical limits; Bloch waves;

D O I：

10.1023/A:1004598015978

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We derive radiative transport equations for solutions of a Schrodinger equation in a periodic structure with small random inhomogeneities. We use systematically the Wigner transform and the: Bloch wave expansion. The streaming part of the radiative transport equations is determined entirely by the Bloch spectrum, and the scattering parr by the random fluctuations.

引用

页码：479 / 494

页数：16