High order asymptotics for wave propagation across thin periodic interfaces

Bérangère Delourme 1, * Xavier Claeys 2, 3
* Corresponding author
1 LAGA
LAGA - Laboratoire Analyse, Géométrie et Applications
3 ALPINES - Algorithms and parallel tools for integrated numerical simulations
LJLL - Laboratoire Jacques-Louis Lions, Inria Paris-Rocquencourt, Institut National des Sciences Mathématiques et de leurs Interactions
Abstract : This work deals with the scattering of acoustic waves by a thin ring that contains many regularly-spaced heterogeneities. We provide and justify a complete description of the solution with respect to the period and the thickness of the heterogeneities. Our approach mixes matched asymptotic expansions and homogenization theory.
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Preprints, Working Papers, ...
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Submitted on : Sunday, March 25, 2012 - 6:21:19 PM
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Bérangère Delourme, Xavier Claeys. High order asymptotics for wave propagation across thin periodic interfaces. 2012. ⟨hal-00682386⟩

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