Multi-scaled diffusion-approximation. Applications to wave propagation in random media.

Josselin Garnier

ESAIM: Probability and Statistics (2010)

  • Volume: 1, page 183-206
  • ISSN: 1292-8100

Abstract

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In this paper a multi-scaled diffusion-approximation theorem is proved so as to unify various applications in wave propagation in random media: transmission of optical modes through random planar waveguides; time delay in scattering for the linear wave equation; decay of the transmission coefficient for large lengths with fixed output and phase difference in weakly nonlinear random media.

How to cite

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Garnier, Josselin. "Multi-scaled diffusion-approximation. Applications to wave propagation in random media. ." ESAIM: Probability and Statistics 1 (2010): 183-206. <http://eudml.org/doc/197729>.

@article{Garnier2010,
abstract = { In this paper a multi-scaled diffusion-approximation theorem is proved so as to unify various applications in wave propagation in random media: transmission of optical modes through random planar waveguides; time delay in scattering for the linear wave equation; decay of the transmission coefficient for large lengths with fixed output and phase difference in weakly nonlinear random media. },
author = {Garnier, Josselin},
journal = {ESAIM: Probability and Statistics},
keywords = {Wave equation / random media / diffusion-approximation.},
language = {eng},
month = {3},
pages = {183-206},
publisher = {EDP Sciences},
title = {Multi-scaled diffusion-approximation. Applications to wave propagation in random media. },
url = {http://eudml.org/doc/197729},
volume = {1},
year = {2010},
}

TY - JOUR
AU - Garnier, Josselin
TI - Multi-scaled diffusion-approximation. Applications to wave propagation in random media.
JO - ESAIM: Probability and Statistics
DA - 2010/3//
PB - EDP Sciences
VL - 1
SP - 183
EP - 206
AB - In this paper a multi-scaled diffusion-approximation theorem is proved so as to unify various applications in wave propagation in random media: transmission of optical modes through random planar waveguides; time delay in scattering for the linear wave equation; decay of the transmission coefficient for large lengths with fixed output and phase difference in weakly nonlinear random media.
LA - eng
KW - Wave equation / random media / diffusion-approximation.
UR - http://eudml.org/doc/197729
ER -

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