Radiative Transport in a Periodic Structure
Guillaume Bal, Albert Fannjiang, George Papanicolaou, Leonid Ryzhik
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, while the scattering part by the random fluctuations.
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