Coupled paraxial wave equations in random media in the white-noise regime
| dc.creator | Garnier, Josselin | |
| dc.creator | Sølna, Knut | |
| dc.date | 2009-03-03 | |
| dc.date.accessioned | 2026-07-07T12:48:35Z | |
| dc.date.available | 2026-07-07T12:48:35Z | |
| dc.description | In this paper the reflection and transmission of waves by a three-dimensional random medium are studied in a white-noise and paraxial regime. The limit system derives from the acoustic wave equations and is described by a coupled system of random Schrödinger equations driven by a Brownian field whose covariance is determined by the two-point statistics of the fluctuations of the random medium. For the reflected and transmitted fields the associated Wigner distributions and the autocorrelation functions are determined by a closed system of transport equations. The Wigner distribution is then used to describe the enhanced backscattering phenomenon for the reflected field. | |
| dc.description | Published in at http://dx.doi.org/10.1214/08-AAP543 the Annals of Applied Probability (http://www.imstat.org/aap/) by the Institute of Mathematical Statistics (http://www.imstat.org) | |
| dc.identifier | https://arxiv.org/abs/0903.0449 | |
| dc.identifier | http://arxiv.org/abs/0903.0449 | |
| dc.identifier | Annals of Applied Probability 2009, Vol. 19, No. 1, 318-346 | |
| dc.identifier | doi:10.1214/08-AAP543 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/222106 | |
| dc.subject | Probability | |
| dc.subject | 60H15, 35R60, 74J20 (Primary) | |
| dc.title | Coupled paraxial wave equations in random media in the white-noise regime | |
| dc.type | text |