Vector intensity field scattered by a rigid prolate spheroid

Journal of the Acoustical Society of America

Volumn 120, Issue 1, 2006, Pages 38-48

  Rapids, Brian R ^a,b   Lauchle, Gerald C ^a  

^a The Center for Nanotechnology Education and Utilization   (United States)

^b JOHNS HOPKINS UNIVERSITY APPLIED PHYSICS LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATION THEORY; NUMERICAL ANALYSIS; PRESSURE EFFECTS; SIGNAL INTERFERENCE; VECTOR QUANTIZATION;

ACOUSTIC PARTICLE VELOCITY FIELDS; HELMHOLTZ EQUATIONS; RIGID PROLATE SPHEROID; SCALAR ACOUSTIC PRESSURE;

ACOUSTIC WAVE SCATTERING;

ACOUSTICS; ARTICLE; CALCULATION; PRIORITY JOURNAL; RIGIDITY; SOUND; SOUND PRESSURE; STEADY STATE; VELOCITY;

EID: 33745758360     PISSN: 00014966     EISSN: None     Source Type: Journal    
DOI: 10.1121/1.2206514     Document Type: Article

References (33)

1. B. Gillespie, K. Rolt, G. Edelson, R. Shaffer, and P. Hursky, "Littoral target forward scattering," in Acoustical Imaging (Plenum, New York, 1997), Vol. 23, pp. 501-506.
2. H. M. Nussenzveig, Diffraction Effects in Semiclassical Scattering (Cambridge University Press, Cambridge England, 1992).
3. P. Ratilal and N. C. Makris, "Extinction theorem for object scattering in a stratified medium," J. Acoust. Soc. Am. 110, 2924-2945 (2001).
4. G. S. Sammelmann, D. H. Trivett, and R. H. Hackman, "High-frequency scattering from rigid prolate spheroids," J. Acoust. Soc. Am. 83, 46-54 (1988).
5. A. Sarkissian, C. F. Guammond, and L. R. Dragonette, "T-matrix implementation of forward scattering from rigid structures," J. Acoust. Soc. Am. 94, 3448-3453 (1993).
6. H. Song, W. A. Kuperman, W. S. Hodgkiss, T. Akal, and P. Guerrini, "Demonstration of a high-frequency acoustic barrier with a time-reversal mirror," IEEE J. Ocean. Eng. 28, 246-249 (2003).
7. N. Willis, Bistatic Radar (Artech House, Boston, MA, 1991).
8. A. D. Pierce, Acoustics: An Introduction to its Physical Principles and Applications (Acoustical Society of America, New York, 1989), p. 430.
9. A. Baggeroer and H. Cox, "Comparison of the performance of vector sensors using optimum processing," J. Acoust. Soc. Am. 114, 2427 (2003).
10. H. Cox and A. Baggeroer, "Performance of vector sensors in noise," J. Acoust. Soc. Am. 114, 2426 (2003).
11. B. A. Cray and A. H. Nuttall, "Directivity factors for linear arrays of velocity sensors," J. Acoust. Soc. Am. 110, 324-331 (2001).
12. G. L. D'Spain, W. S. Hodgkiss, G. L. Edmonds, J. C. Nickles, F. H. Fisher, and R. A. Harriss, "Initial analysis of the data from the vertical DIFAR array," in "Proceedings of Mastering the Oceans Through Technology (OCEANS 92)," Newport, RI, 26-29 October 1992, pp. 346-351.
13. M. A. Hawkes and A. Nehorai, "Acoustic vector-sensor correlations in ambient noise," IEEE J. Ocean. Eng. 26, 337-347 (2001).
14. V. A. Shchurov, "Coherent and diffusive field of underwater acoustic ambient noise," J. Acoust. Soc. Am. 90, 991-1001 (1991).
15. F. Jacobsen, "Sound field indicators: Useful tools," Noise Control Eng. J. 35, 37-46 (1990).
16. B. R. Rapids and G. C. Lauchle, "Acoustic intensity measurements involving forward scatter from prolate spheroids," J. Acoust. Soc. Am. 116, 2528 (2004).
17. B. R. Rapids, "Acoustic Intensity Methods in Classical Scattering," Ph.D. thesis in Acoustics, The Pennsylvania State University (2004).
18. F. H. Fahy, Sound Intensity, 2nd ed. (E&FN Spon, London, UK, 1995).
19. P. J. Westervelt, "Acoustical impedance in terms of energy functions," J. Acoust. Soc. Am. 23, 347-348 (1951).
20. T. K. Stanton and R. T. Beyer, "Complex wattmeter measurements in a reactive acoustic field," J. Acoust. Soc. Am. 65, 249-252 (1979).
21. J. A. Mann III, J. Tichy, and A. J. Romano, "Instantaneous and time-averaged energy transfer in acoustic fields," J. Acoust. Soc. Am. 82, 17-30 (1987).
22. J. A. Mann III and J. Tichy, "Acoustic intensity analysis: distinguishing energy propagation and wave-front propagation," J. Acoust. Soc. Am. 90, 20-25 (1991).
23. B. J. King, R. V. Baier, and S. Hanish, "A FORTRAN computer program for calculating the prolate spheroidal radial functions of the first and second kind and their first derivatives," NRL Rep. No. 7012 (1970).
24. B. J. King, R. V. Baier, and S. Hanish, "A FORTRAN computer program for calculating the prolate and oblate angle functions of the first kind and their first and second derivatives," NRL Rep. No. 7161 (1970).
25. C. Flammer, Spheroidal Wave Functions (Stanford University Press, Stanford, CA, 1957).
26. A. L. Van Buren, R. V. Baier, S. Hanish, and B. J. King, "Calculation of spheroidal wave functions," J. Acoust. Soc. Am. 51, 414-416 (1972).
27. J. P. Barton, N. L. Wolff, H. Zhang, and C. Tarawneh, "Near-field calculations for a rigid spheroid with an arbitrary incident acoustic field," J. Acoust. Soc. Am. 113, 1216-1222 (2003).
28. A. Germon and G. C. Lauchle, "Axisymmetric scattering of spherical waves by a prolate spheroid," J. Acoust. Soc. Am. 65, 1322-1327 (1979).
29. G. C. Lauchle, "Short-wavelength acoustic backscattering by a prolate spheroid," J. Acoust. Soc. Am. 58, 576-580 (1975).
30. G. C. Lauchle, "Short-wavelength acoustic diffraction by prolate spheroids," J. Acoust. Soc. Am. 58, 568-575 (1975).
31. A. L. Van Buren and J. E. Boisvert, "Accurate calculation of prolate spheroidal radial functions of the first kind and their first derivatives," Q. Appl. Math. 60, 589-599 (2002).
32. A. L. Van Buren and J. E. Boisvert, "Improved calculation of prolate spheroidal radial functions of the second kind and their first derivates," Q. Appl. Math. 62, 493-508 (2004).
33. The ξ-component is "radial" only for ξ≫ 1. The term is used here to offer a more familiar term borrowed from scattering in spherical coordinates.