High order asymptotics for wave propagation across thin periodic interfaces

Bérangère Delourme (1) , Xavier Claeys (2, 3)

1 LAGA - Laboratoire Analyse, Géométrie et Applications
2 LJLL - Laboratoire Jacques-Louis Lions
3 ALPINES - Algorithms and parallel tools for integrated numerical simulations

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.

Domaines: Analyse numérique [math.NA]

Bérangère Delourme, Xavier Claeys. High order asymptotics for wave propagation across thin periodic interfaces. 2012. ⟨hal-00682386⟩