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Acoustic eigenfrequencies in a spheroidal cavity with a concentric penetrable sphere

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dc.contributor.author Kokkorakis, GC en
dc.contributor.author Roumeliotis, JA en
dc.date.accessioned 2014-03-01T01:14:22Z
dc.date.available 2014-03-01T01:14:22Z
dc.date.issued 1999 en
dc.identifier.issn 0001-4966 en
dc.identifier.uri https://dspace.lib.ntua.gr/xmlui/handle/123456789/13024
dc.subject.classification Acoustics en
dc.subject.other acoustics en
dc.subject.other article en
dc.subject.other frequency modulation en
dc.subject.other priority journal en
dc.subject.other sound en
dc.subject.other sound pressure en
dc.subject.other sound transmission en
dc.title Acoustic eigenfrequencies in a spheroidal cavity with a concentric penetrable sphere en
heal.type journalArticle en
heal.identifier.primary 10.1121/1.426693 en
heal.identifier.secondary http://dx.doi.org/10.1121/1.426693 en
heal.language English en
heal.publicationDate 1999 en
heal.abstract The acoustic eigenfrequencies f(nsm) in a spheroidal cavity containing a concentric penetrable sphere are determined analytically, for both Dirichlet and Neumann conditions in the spheroidal boundary. Two different methods are used for the evaluation. In the first, the pressure field is expressed in terms of both spherical and spheroidal wave functions, connected with one another by well-known expansion formulas. In the second, a shape perturbation method, this field is expressed in terms of spherical wave functions only, while the equation of the spheroidal boundary is given in spherical coordinates. The analytical determination of the eigenfrequencies is possible when the solution is specialized to small values of h = d/(2R(2)), (h much less than 1), with d the interfocal distance of the spheroidal boundary and 2R(2) the length of its rotation axis. In this case exact, closed-form expressions are g(nsm)((2)) and g(nsm)((4)) in the resulting relation f(nsm)((h)) = f(ns)((0))[1 obtained for the expansion coefficients g + h(2)g(nsm)((2)) + h(4)g(nsm)((4)) + O(h(6))]. Analogous expressions are obtained with the use of the parameter upsilon = 1-(R2/R-2')(2), (\upsilon\much less than 1), With 2R(2)' the length of the other axis of the spheroidal boundary. Numerical results are given for various values of the parameters. (C) 1999 Acoustical Society of America. [S0001-4966(99)05803-8]. en
heal.publisher AMER INST PHYSICS en
heal.journalName Journal of the Acoustical Society of America en
dc.identifier.doi 10.1121/1.426693 en
dc.identifier.isi ISI:000079078500011 en
dc.identifier.volume 105 en
dc.identifier.issue 3 en
dc.identifier.spage 1539 en
dc.identifier.epage 1547 en


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