Acoustic scattering by an impenetrable spheroid

Roumeliotis, JA; Kotsis, AD; Kolezas, G

dc.contributor.author	Roumeliotis, JA	en
dc.contributor.author	Kotsis, AD	en
dc.contributor.author	Kolezas, G	en
dc.date.accessioned	2014-03-01T01:25:52Z
dc.date.available	2014-03-01T01:25:52Z
dc.date.issued	2007	en
dc.identifier.issn	1063-7710	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/17780
dc.subject	Acoustic Scattering	en
dc.subject	Acoustic Waves	en
dc.subject	Cross Section	en
dc.subject	Perturbation Method	en
dc.subject.classification	Acoustics	en
dc.subject.other	Boundary conditions	en
dc.subject.other	Numerical methods	en
dc.subject.other	Perturbation techniques	en
dc.subject.other	Wave functions	en
dc.subject.other	Scattered pressure fields	en
dc.subject.other	Shape perturbation method	en
dc.subject.other	Spheroidal boundary	en
dc.subject.other	Spheroidal wave functions	en
dc.subject.other	Acoustic wave scattering	en
dc.title	Acoustic scattering by an impenetrable spheroid	en
heal.type	journalArticle	en
heal.identifier.primary	10.1134/S1063771007040033	en
heal.identifier.secondary	http://dx.doi.org/10.1134/S1063771007040033	en
heal.language	English	en
heal.publicationDate	2007	en
heal.abstract	The scattering of a plane acoustic wave from an impenetrable, soft or hard, prolate or oblate spheroid is considered. Two different methods are used for the evaluation. In the first, the pressure field is expressed in terms of spheroidal wave functions. In the second, a shape perturbation method, the field is expressed in terms of spherical wave functions only, while the equation of the spheroidal boundary is given in spherical coordinates. Analytical expressions are obtained for the scattered pressure field and the various scattering cross-sections, when the solution is specialized to small values of the eccentricity h = d/(2a) [Figure not available: see fulltext.], where d is the interfocal distance of the spheroid and 2a is the length of its rotation axis. In this case, exact, closed-form expressions are obtained for the expansion coefficients g (2) and g (4) in the relation S(h) = S(0)[1 + g (2) h 2 + g (4) h 4 + O(h 6)] expressing the scattered field and the scattering cross-sections. Numerical results are given for various values of the parameters. © 2007 Pleiades Publishing, Ltd.	en
heal.publisher	MAIK NAUKA/INTERPERIODICA/SPRINGER	en
heal.journalName	Acoustical Physics	en
dc.identifier.doi	10.1134/S1063771007040033	en
dc.identifier.isi	ISI:000248046600003	en
dc.identifier.volume	53	en
dc.identifier.issue	4	en
dc.identifier.spage	436	en
dc.identifier.epage	447	en