Acoustic scaterring from spheroidal bodies near obstacles

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Abstract

A new expression for the Lame' product of prolate spheroidal wave functions is presented in terms of a distribution of multipoles along the axis of the spheroid between its foci (generalizing a corresponding theorem for spheroidal harmonics). Such an 'ultimate' singularity system can be effectively used for solving various linear boundary-value problems governed by the Helmholtz equation involving prolate spheroidal bodies near planar or other boundaries. The general methodology is formally demonstrated for the axisymmetric acoustic scattering problem of a rigid (hard) spheroid placed near a hard/soft wall or inside a cylindrical duct under an axial incidence of a plane acoustic wave.

Original languageEnglish
Title of host publicationICSV 2016 - 23rd International Congress on Sound and Vibration
Subtitle of host publicationFrom Ancient to Modern Acoustics
PublisherInternational Institute of Acoustics and Vibrations
ISBN (Electronic)9789609922623
StatePublished - 2016
Event23rd International Congress on Sound and Vibration, ICSV 2016 - Athens, Greece
Duration: 10 Jul 201614 Jul 2016

Publication series

NameICSV 2016 - 23rd International Congress on Sound and Vibration: From Ancient to Modern Acoustics

Conference

Conference23rd International Congress on Sound and Vibration, ICSV 2016
Country/TerritoryGreece
CityAthens
Period10/07/1614/07/16

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