02-470 Abel Klein, Andrew Koines

A General Framework for Localization of Classical Waves: II. Random Media (382K, PDF) Nov 20, 02

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Abstract. We study localization of classical waves in random media in the general framework introduced in Part I of this work \cite{KK}. This framework allows for two random coefficents, encompasses acoustic waves with random position dependent compressibility and mass density, elastic waves with random position dependent Lam\'{e} moduli and mass density, and electromagnetic waves with random position dependent magnetic permeability and dielectric constant, and allows for anisotropy. We show exponential localization (Anderson localization) and strong Hilbert-Schmidt dynamical localization for random perturbations of periodic media with a spectral gap.

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