Two-dimensional wave propagation in layered periodic media

Manuel Quezada de Luna, David I. Ketcheson

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

Abstract

We study two-dimensional wave propagation in materials whose properties vary periodically in one direction only. High order homogenization is carried out to derive a dispersive effective medium approximation. One-dimensional materials with constant impedance exhibit no effective dispersion. We show that a new kind of effective dispersion may arise in two dimensions, even in materials with constant impedance. This dispersion is a macroscopic effect of microscopic diffraction caused by spatial variation in the sound speed. We analyze this dispersive effect by using highorder homogenization to derive an anisotropic, dispersive effective medium. We generalize to two dimensions a homogenization approach that has been used previously for one-dimensional problems. Pseudospectral solutions of the effective medium equations agree to high accuracy with finite volume direct numerical simulations of the variable-coeffi cient equations.
Original languageEnglish (US)
Pages (from-to)1852-1869
Number of pages18
JournalSIAM Journal on Applied Mathematics
Volume74
Issue number6
DOIs
StatePublished - Dec 3 2014

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