Homogenization scheme for acoustic metamaterials

Handle URI:
http://hdl.handle.net/10754/552823
Title:
Homogenization scheme for acoustic metamaterials
Authors:
Yang, Min; Ma, Guancong; Wu, Ying ( 0000-0002-7919-1107 ) ; Yang, Zhiyu; Sheng, Ping
Abstract:
We present a homogenization scheme for acoustic metamaterials that is based on reproducing the lowest orders of scattering amplitudes from a finite volume of metamaterials. This approach is noted to differ significantly from that of coherent potential approximation, which is based on adjusting the effective-medium parameters to minimize scatterings in the long-wavelength limit. With the aid of metamaterials’ eigenstates, the effective parameters, such as mass density and elastic modulus can be obtained by matching the surface responses of a metamaterial's structural unit cell with a piece of homogenized material. From the Green's theorem applied to the exterior domain problem, matching the surface responses is noted to be the same as reproducing the scattering amplitudes. We verify our scheme by applying it to three different examples: a layered lattice, a two-dimensional hexagonal lattice, and a decorated-membrane system. It is shown that the predicted characteristics and wave fields agree almost exactly with numerical simulations and experiments and the scheme's validity is constrained by the number of dominant surface multipoles instead of the usual long-wavelength assumption. In particular, the validity extends to the full band in one dimension and to regimes near the boundaries of the Brillouin zone in two dimensions.
KAUST Department:
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Citation:
Homogenization scheme for acoustic metamaterials 2014, 89 (6) Physical Review B
Journal:
Physical Review B
Issue Date:
26-Feb-2014
DOI:
10.1103/PhysRevB.89.064309
Type:
Article
ISSN:
1098-0121; 1550-235X
Additional Links:
http://link.aps.org/doi/10.1103/PhysRevB.89.064309
Appears in Collections:
Articles; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorYang, Minen
dc.contributor.authorMa, Guancongen
dc.contributor.authorWu, Yingen
dc.contributor.authorYang, Zhiyuen
dc.contributor.authorSheng, Pingen
dc.date.accessioned2015-05-14T08:37:55Zen
dc.date.available2015-05-14T08:37:55Zen
dc.date.issued2014-02-26en
dc.identifier.citationHomogenization scheme for acoustic metamaterials 2014, 89 (6) Physical Review Ben
dc.identifier.issn1098-0121en
dc.identifier.issn1550-235Xen
dc.identifier.doi10.1103/PhysRevB.89.064309en
dc.identifier.urihttp://hdl.handle.net/10754/552823en
dc.description.abstractWe present a homogenization scheme for acoustic metamaterials that is based on reproducing the lowest orders of scattering amplitudes from a finite volume of metamaterials. This approach is noted to differ significantly from that of coherent potential approximation, which is based on adjusting the effective-medium parameters to minimize scatterings in the long-wavelength limit. With the aid of metamaterials’ eigenstates, the effective parameters, such as mass density and elastic modulus can be obtained by matching the surface responses of a metamaterial's structural unit cell with a piece of homogenized material. From the Green's theorem applied to the exterior domain problem, matching the surface responses is noted to be the same as reproducing the scattering amplitudes. We verify our scheme by applying it to three different examples: a layered lattice, a two-dimensional hexagonal lattice, and a decorated-membrane system. It is shown that the predicted characteristics and wave fields agree almost exactly with numerical simulations and experiments and the scheme's validity is constrained by the number of dominant surface multipoles instead of the usual long-wavelength assumption. In particular, the validity extends to the full band in one dimension and to regimes near the boundaries of the Brillouin zone in two dimensions.en
dc.relation.urlhttp://link.aps.org/doi/10.1103/PhysRevB.89.064309en
dc.rightsArchived with thanks to Physical Review Ben
dc.titleHomogenization scheme for acoustic metamaterialsen
dc.typeArticleen
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
dc.identifier.journalPhysical Review Ben
dc.eprint.versionPublisher's Version/PDFen
dc.contributor.institutionDepartment of Physics, Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong, Chinaen
dc.contributor.institutionInstitute of Advanced Study, Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong, Chinaen
kaust.authorWu, Yingen
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