Radiative transport in a periodic structure

Authors
Bal, G Fannjiang, A Papanicolaou, G Ryzhik, L
Citation
G. Bal et al., Radiative transport in a periodic structure, J STAT PHYS, 95(1-2), 1999, pp. 479-494
Citations number
23
Categorie Soggetti
Physics
Journal title
JOURNAL OF STATISTICAL PHYSICS
ISSN journal
00224715 → ACNP
Volume
95
Issue
1-2
Year of publication
1999
Pages
479 - 494
Database
ISI
SICI code
0022-4715(199904)95:1-2<479:RTIAPS>2.0.ZU;2-O
Abstract
We derive radiative transport equations for solutions of a Schrodinger equa tion in a periodic structure with small random inhomogeneities. We use syst ematically the Wigner transform and the: Bloch wave expansion. The streamin g part of the radiative transport equations is determined entirely by the B loch spectrum, and the scattering parr by the random fluctuations.