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dc.contributor.authorYang, Min
dc.contributor.authorMa, Guancong
dc.contributor.authorWu, Ying
dc.contributor.authorYang, Zhiyu
dc.contributor.authorSheng, Ping
dc.date.accessioned2015-05-14T08:37:55Z
dc.date.available2015-05-14T08:37:55Z
dc.date.issued2014-02-26
dc.identifier.citationHomogenization scheme for acoustic metamaterials 2014, 89 (6) Physical Review B
dc.identifier.issn1098-0121
dc.identifier.issn1550-235X
dc.identifier.doi10.1103/PhysRevB.89.064309
dc.identifier.urihttp://hdl.handle.net/10754/552823
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.
dc.publisherAmerican Physical Society (APS)
dc.relation.urlhttp://link.aps.org/doi/10.1103/PhysRevB.89.064309
dc.rightsArchived with thanks to Physical Review B
dc.titleHomogenization scheme for acoustic metamaterials
dc.typeArticle
dc.contributor.departmentApplied Mathematics and Computational Science Program
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
dc.identifier.journalPhysical Review B
dc.eprint.versionPublisher's Version/PDF
dc.contributor.institutionDepartment of Physics, Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong, China
dc.contributor.institutionInstitute of Advanced Study, Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong, China
kaust.personWu, Ying
refterms.dateFOA2018-06-14T06:29:28Z


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