Note on acoustic pseudopotentials: Energy viewpoint, real scatterers and linear arrays

Chremmos, I; Fikioris, G

dc.contributor.author	Chremmos, I	en
dc.contributor.author	Fikioris, G	en
dc.date.accessioned	2014-03-01T01:36:30Z
dc.date.available	2014-03-01T01:36:30Z
dc.date.issued	2011	en
dc.identifier.issn	1610-1928	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/21314
dc.subject.classification	Acoustics	en
dc.subject.other	Alternative energy	en
dc.subject.other	Frequency dependence	en
dc.subject.other	Impedance scatterers	en
dc.subject.other	Incident fields	en
dc.subject.other	Linear arrays	en
dc.subject.other	Linear periodic arrays	en
dc.subject.other	Observation point	en
dc.subject.other	Pseudopotentials	en
dc.subject.other	Responsivity	en
dc.subject.other	Scatterer size	en
dc.subject.other	Scattering equations	en
dc.subject.other	Small spheres	en
dc.subject.other	Sub-wavelength	en
dc.subject.other	Traveling wave	en
dc.subject.other	Acoustic impedance	en
dc.subject.other	Compressibility	en
dc.subject.other	Mathematical operators	en
dc.subject.other	Spheres	en
dc.subject.other	Time varying systems	en
dc.subject.other	Acoustic wave scattering	en
dc.title	Note on acoustic pseudopotentials: Energy viewpoint, real scatterers and linear arrays	en
heal.type	journalArticle	en
heal.identifier.primary	10.3813/AAA.918417	en
heal.identifier.secondary	http://dx.doi.org/10.3813/AAA.918417	en
heal.language	English	en
heal.publicationDate	2011	en
heal.abstract	A study of scalar acoustic pseudopotentials and their connection to actual spherical scatterers is presented. The pseudopotential concept and the governing scattering equations are established through an alternative energy viewpoint from which the operator-based definition follows. Limiting formulas are derived for spherical acoustic scatterers with subwavelength size and it is shown that pseudopotentials can approximate only certain scattering types: impedance or soft impenetrable ones or penetrable ones having equal density but different compressibility from the surrounding medium. The accuracy of the approximation is investigated numerically and mapped versus the scatterer size and distance of the observation point. As an application, the infinite linear periodic array of small spheres is considered and it is shown that the frequency dependence of a scatterer's responsivity to the incident field forbids the existence of traveling waves except in the cases of positive impedance scatterers or penetrable scatterers having the same density but higher compressibility than the surrounding medium. © S. Hirzel Verlag · EAA.	en
heal.publisher	S HIRZEL VERLAG	en
heal.journalName	Acta Acustica united with Acustica	en
dc.identifier.doi	10.3813/AAA.918417	en
dc.identifier.isi	ISI:000290262300002	en
dc.identifier.volume	97	en
dc.identifier.issue	3	en
dc.identifier.spage	364	en
dc.identifier.epage	372	en