Title: Scattering from penetrable prolate spheroids
Abstract: The problem of acoustic scattering from a fluid-filled elastic layer (shell) is considered. The inner and outer surfaces of the elastic shell are confocal prolate spheroids with the outer surface having major-axis length L and minor-axis length D. A plane wave ensonifies the shell at an arbitrary angle of incidence. The 3-D equations of elasticity in prolate spheroidal coordinates are solved using a Helmholtz decomposition for the displacement vector. The displacement vector is expressed in terms of a scalar potential (dependent on the dilatational wave number) and a vector potential (dependent on the shear wave number). These wave potentials are solutions, respectively, of the scalar and vector wave equations cast in prolate spheroidal coordinates. An eigenfunction expansion of spheroidal wave functions represents the solution of the scalar wave equation. The solution of the vector wave equation is facilitated using expansions of prolate spheroidal vector wave functions. Nearfield and farfield scattering results are presented as a function of incident angle, spheroid shape L/D, and internal fluid (air-filled or water-filled). Comparisons with the rigid case (impenetrable spheroid) are also presented. [Work supported by the NAVSEA Newport ILIR Program.]
Publication Year: 2007
Publication Date: 2007-11-01
Language: en
Type: article
Indexed In: ['crossref']
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