Acoustic eigenfrequencies in a spheroidal cavity with a concentric penetrable sphere
GC Kokkorakis, JA Roumeliotis - The Journal of the Acoustical Society …, 1999 - pubs.aip.org
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 …
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 …
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