Two-dimensional wave propagation in layered periodic media

Handle URI:
http://hdl.handle.net/10754/333681
Title:
Two-dimensional wave propagation in layered periodic media
Authors:
Quezada de Luna, Manuel; Ketcheson, David I. ( 0000-0002-1212-126X )
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.
KAUST Department:
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division; Numerical Mathematics Group
Publisher:
Society for Industrial & Applied Mathematics (SIAM)
Journal:
SIAM Journal on Applied Mathematics
Issue Date:
16-Sep-2014
DOI:
10.1137/130937962
Type:
Article
ISSN:
0036-1399
Additional Links:
http://arxiv.org/abs/1309.6666; https://github.com/ketch/effective_dispersion_RR
Appears in Collections:
Articles; Numerical Mathematics Group; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorQuezada de Luna, Manuelen
dc.contributor.authorKetcheson, David I.en
dc.date.accessioned2014-11-04T13:11:10Z-
dc.date.available2014-11-04T13:11:10Z-
dc.date.issued2014-09-16en
dc.identifier.issn0036-1399en
dc.identifier.doi10.1137/130937962en
dc.identifier.urihttp://hdl.handle.net/10754/333681en
dc.description.abstractWe 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.en
dc.language.isoenen
dc.publisherSociety for Industrial & Applied Mathematics (SIAM)en
dc.relation.urlhttp://arxiv.org/abs/1309.6666en
dc.relation.urlhttps://github.com/ketch/effective_dispersion_RRen
dc.titleTwo-dimensional wave propagation in layered periodic mediaen
dc.typeArticleen
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
dc.contributor.departmentNumerical Mathematics Groupen
dc.identifier.journalSIAM Journal on Applied Mathematicsen
dc.eprint.versionPost-printen
dc.contributor.institutionDepartment of Mathematics, Texas A&M University. College Station, Texas 77843, USA.en
dc.contributor.affiliationKing Abdullah University of Science and Technology (KAUST)en
kaust.authorKetcheson, David I.en
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