Scattering of elastic waves by periodic arrays of spherical bodies

Psarobas, IE; Stefanou, N; Modinos, A

dc.contributor.author	Psarobas, IE	en
dc.contributor.author	Stefanou, N	en
dc.contributor.author	Modinos, A	en
dc.date.accessioned	2014-03-01T01:15:52Z
dc.date.available	2014-03-01T01:15:52Z
dc.date.issued	2000	en
dc.identifier.issn	0163-1829	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/13782
dc.subject	Absorption Coefficient	en
dc.subject	Band Structure	en
dc.subject	Elastic Waves	en
dc.subject	Frequency Dependence	en
dc.subject.classification	Physics, Condensed Matter	en
dc.subject.other	ACOUSTIC BAND-STRUCTURE	en
dc.subject.other	COMPOSITE-MATERIALS	en
dc.subject.other	PHOTONIC CRYSTALS	en
dc.subject.other	STOP-BANDS	en
dc.subject.other	ELECTROMAGNETIC-WAVES	en
dc.subject.other	SOUND-ATTENUATION	en
dc.subject.other	FREQUENCY BANDS	en
dc.subject.other	DEFECT STATES	en
dc.subject.other	CUBIC ARRAYS	en
dc.subject.other	GAP CRYSTAL	en
dc.title	Scattering of elastic waves by periodic arrays of spherical bodies	en
heal.type	journalArticle	en
heal.identifier.primary	10.1103/PhysRevB.62.278	en
heal.identifier.secondary	http://dx.doi.org/10.1103/PhysRevB.62.278	en
heal.language	English	en
heal.publicationDate	2000	en
heal.abstract	We develop a formalism for the calculation of the frequency band structure of a phononic crystal consisting of nonoverlapping elastic spheres, characterized by Lame coefficients which may be complex and frequency dependent, arranged periodically in a host medium with different mass density and Lame coefficients. We view the crystal as a sequence of planes of spheres, parallel to and having the two-dimensional periodicity of a given crystallographic plane, and obtain the complex band structure of the infinite crystal associated with this plane. The method allows one to calculate, also, the transmission, reflection, and absorption coefficients for an elastic wave (longitudinal or transverse) incident, at any angle, on a slab of the crystal of finite thickness. We demonstrate the efficiency of the method by applying it to a specific example.	en
heal.publisher	AMERICAN PHYSICAL SOC	en
heal.journalName	PHYSICAL REVIEW B	en
dc.identifier.doi	10.1103/PhysRevB.62.278	en
dc.identifier.isi	ISI:000088037000055	en
dc.identifier.volume	62	en
dc.identifier.issue	1	en
dc.identifier.spage	278	en
dc.identifier.epage	291	en