TY - GEN
T1 - Acoustic scaterring from spheroidal bodies near obstacles
AU - Miloh, Touvia
PY - 2016
Y1 - 2016
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84987927114&partnerID=8YFLogxK
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AN - SCOPUS:84987927114
T3 - ICSV 2016 - 23rd International Congress on Sound and Vibration: From Ancient to Modern Acoustics
BT - ICSV 2016 - 23rd International Congress on Sound and Vibration
PB - International Institute of Acoustics and Vibrations
T2 - 23rd International Congress on Sound and Vibration, ICSV 2016
Y2 - 10 July 2016 through 14 July 2016
ER -