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

Published online by Cambridge University Press:  15 August 2002

Josselin Garnier
Josselin Garnier*
Affiliation:
[email protected]
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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 randomplanar 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 randommedia.

Keywords

Wave equation / random media / diffusion-approximation.
Type
Research Article
Information
ESAIM: Probability and Statistics , Volume 1 , 1997 , pp. 183 - 206
Copyright
© EDP Sciences, SMAI, 1997

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