Acoustic eigenfrequencies in concentric spheroidal-spherical cavities

Journal of Sound and Vibration

Volumn 206, Issue 3, 1997, Pages 287-308

  Kokkorakis, G C ^a   Roumeliotis, J A ^a  

^a NATIONAL TECHNICAL UNIVERSITY OF ATHENS   (Greece)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; EIGENVALUES AND EIGENFUNCTIONS;

DIRICHLET BOUNDARY CONDITIONS; NEUMANN BOUNDARY CONDITIONS;

ACOUSTIC WAVES;

EID: 0031221465     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.1997.1122     Document Type: Article

References (12)

1. P. M. MORSE and H. FESHBACH 1953 Methods of Theoretical Physics, Volume II. New York: McGraw-Hill.
2. J. A. ROUMELIOTIS, J. D. KANELLOPOULOS and J. G. FIKIORIS 1991 Journal of the Acoustical Society of America 90, 1144-1148. Acoustic resonance frequency shifts in a spherical cavity with an eccentric inner small sphere.
3. J. A. ROUMELIOTIS, J. D. KANELLOPOULOS and J. G. FIKIORIS 1992 Journal of the Franklin Institute 329, 413-427. Acoustic eigenfrequencies of a cylindrical/rectangular cavity, with an eccentric inner small sphere.
4. J. A. ROUMELIOTIS and J. D. KENELLOPOULOS 1992 Journal of the Franklin Institute 329, 727-735. Acoustic eigenfrequencies and modes in a soft-walled spherical cavity with an eccentric inner small sphere.
5. J. A. ROUMELIOTIS 1993 Journal of the Acoustical Society of America 93, 1710-1715. Eigenfrequencies of an acoustic rectangular cavity containing a rigid small sphere.
6. C. FLAMMER 1957 Spheroidal Wave Functions. Stanford CA: Stanford University Press.
7. J. D. KANELLOPOULOS and J. G. FIKIORIS 1978 Journal of the Acoustical Society of America 64, 286-297. Acoustic resonant frequencies in an eccentric spherical cavity.
8. J. A. ROUMELIOTIS, A. B. M. SIDDIQUE HOSSAIN and J. G. FIKIORIS 1980 Radio Science 15, 923-937. Cutoff wave numbers of eccentric circular and concentric circular-elliptic metallic wave guides.
9. M. ABRAMOWITZ and I. A. STEGUN 1972 Handbook of Mathematical Functions. New York: Dover.
10. J. E. BURKE 1966 Journal of Mathematics and Physics 45, 425-431. Note on spheroidal wave functions.
11. J. MEIXNER and F. W. SCHÄFKE 1954. Mathieusche Funktionen und Sphäroidfunktionen. Berlin: Springer-Verlag.
12. D. S. JONES 1964 The Theory of Electromagnetism. Oxford: Pergamon Press.