On the scattering amplitudes for elastic waves

Dassios, G; Kiriaki, K; Polyzos, D

dc.contributor.author	Dassios, G	en
dc.contributor.author	Kiriaki, K	en
dc.contributor.author	Polyzos, D	en
dc.date.accessioned	2014-03-01T01:06:56Z
dc.date.available	2014-03-01T01:06:56Z
dc.date.issued	1987	en
dc.identifier.issn	0044-2275	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/9690
dc.subject	Acoustic Scattering	en
dc.subject	Cross Section	en
dc.subject	Elastic Waves	en
dc.subject	Scattering Amplitude	en
dc.subject.classification	Mathematics, Applied	en
dc.title	On the scattering amplitudes for elastic waves	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/BF00945822	en
heal.identifier.secondary	http://dx.doi.org/10.1007/BF00945822	en
heal.language	English	en
heal.publicationDate	1987	en
heal.abstract	Reciprocity and scattering theorems for the normalized spherical scattering amplitude for elastic waves are obtained for the case of a rigid scatterer, a cavity and a penetrable scattering region. Depending on the polarization of the two incident waves reciprocity relations of the radial-radial, radial-angular, and angular-angular type are established. Radial and angular scattering theorems, expressing the corresponding scattering amplitudes via integrals of the amplitudes over all directions of observation, as well as their special forms for scatterers with inversion symmetry are also provided. As a consequence of the stated scattering theorems the scattering cross-section for either a longitudinal, or a transverse incident wave is expressed through the forward value of the radial, or the angular amplitude, correspondingly. All the known relative theorems for acoustic scattering are trivially recovered from their elastic counterparts. © 1987 Birkhäuser Verlag.	en
heal.publisher	Birkhäuser-Verlag	en
heal.journalName	ZAMP Zeitschrift für angewandte Mathematik und Physik	en
dc.identifier.doi	10.1007/BF00945822	en
dc.identifier.isi	ISI:A1987L765900004	en
dc.identifier.volume	38	en
dc.identifier.issue	6	en
dc.identifier.spage	856	en
dc.identifier.epage	873	en