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Diffusive energy scattering from weakly random surfaces (1999)

Bal, Guillaume ; Papanicolaou, George

College Park, Md. : American Institute of Physics (AIP)

Journal of Mathematical Physics 40 (1999), S. 4813-4827

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ISSN: 1089-7658

Source: AIP Digital Archive

Topics: Mathematics , Physics

Notes: We derive transport theoretic boundary conditions for acoustic wave reflection at a weakly rough boundary in an inhomogeneous half space. We use the Wigner distribution to go from waves to energy transport in the high frequency limit. We generalize known results on the reflection of acoustic plane waves in a homogeneous medium. We analyze higher order corrections, which include a enhanced backscattering effect in the back direction. © 1999 American Institute of Physics.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1063/1.533002

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Radiative Transport in a Periodic Structure (1999)

Bal, Guillaume ; Fannjiang, Albert ; Papanicolaou, George ; [et al.]

Springer

Journal of statistical physics 95 (1999), S. 479-494

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ISSN: 1572-9613

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

Source: Springer Online Journal Archives 1860-2000

Topics: Physics

Notes: 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.