Multi-scaled diffusion-approximation. Applications to wave propagation in random media.
Josselin Garnier (2010)
ESAIM: Probability and Statistics
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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.