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Radiative Transport in a Periodic Structure |
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| Authors: | Bal Guillaume Fannjiang Albert Papanicolaou George Ryzhik Leonid |
| Institution: | (1) Department of Mathematics, Stanford University, Stanford, California, 94305;(2) Department of Mathematics, University of California Davis, Davis, California, 95616;(3) Department of Mathematics, Stanford University, Stanford, California, 94305;(4) Department of Mathematics, University of Chicago, Chicago, Illinois, 60637 |
| Abstract: | We derive radiative transport equations for solutions of a Schrödinger 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 part by the random fluctuations. |
| Keywords: | radiative transport waves in random media Wigner distribution semiclassical limits Bloch waves |
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