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
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
收藏
页码:479 / 494
页数:16
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