- 03-290 Hatem NAJAR
- 2-Dimensional localization of acoustic waves in random
perturbation of periodic media.
(414K, DVI and PDF files)
Jun 19, 03
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Abstract. In this work we study internal band edges localization of acoustic waves in 2-dimensional
space obtained by random perturbation of some periodic media. Our
results rely on the study of Lifshitz tails for the integrated
density of states for random acoustic operators of the form
$A_{\omega}=-\nabla\frac{1}{\varrho_{\omega}}\nabla$. Localization
is then deduced by the standard multiscale argument.
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