SounD Scattering by a Spherical Object near a Hard Flat Bottom

IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control

Volumn 43, Issue 4, 1996, Pages 690-700

  Gaunaurd, Guillermo C ^a   Huang, Hanson ^a  

^a NAVAL SURFACE WARFARE CENTER   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTIC IMAGING; ACOUSTIC WAVE REFLECTION; APPROXIMATION THEORY; DIFFERENTIAL EQUATIONS; FUNCTIONS; ITERATIVE METHODS; LINEAR ALGEBRA; SPHERES; SURFACES;

ADDITION THEOREMS; ANGLE OF INCIDENCE; FORM FUNCTIONS; GAUSS-SEIDEL ITERATION METHOD; INCIDENT FIELD; INFINITE LINEAR COMPLEX SYSTEM; PLANE HARD SURFACE; SPHERICAL OBJECT; SPHERICAL WAVE FUNCTIONS; TRANSCENDENTAL EQUATIONS;

ACOUSTIC WAVE SCATTERING;

EID: 0030194660     PISSN: 08853010     EISSN: None     Source Type: Journal    
DOI: 10.1109/58.503731     Document Type: Article

References (42)

1. [1J B. Friedman and J. RussekAddition theorems for spherical waves," Quart. Appl. Math., vol. 12, pp. 12-23, 1954.
2. [21 S. Stein, ''Addition theorems for spherical wave functions,1' Quart. Appl. Math., vol. 19, pp. 15-24, 1961.
3. O. CruzanTranslational addition theorems for spherical vector wave functions," Quart. Appl. Math., vol. 2Ü, pp. 33-tO, 1962.
4. R. A. SackThree-dimensional addition theorem for arbitrary functions involving expansions in spherical harmonics," J. Math. Phys., vol. 5, pp. 252-259, 1964.
5. M. Danos and L. MaximonMultiple matrix elements of the translation operator," J. Math. Phys., vol. 6, pp. 766-778, 1965.
6. F. Corbatö and A. SwitendickIntegrals for diatomic molecular cal-culations," in Methods in Computational Physics, vol. 2. New York: Academic, 1965, pp. 155 179
7. R. J. ToughThe transformation properties of vector multipolc fields under a translation of coordinate origin," J. Phys. A: Mulh. Generalities, vol. 10, pp. 1079-1087, 1977.
8. [8J J. A. CiauntThe triplets of helium," Trans. Kov. Soc. (London), vol. 228A, pp. 151-196, 1929.
9. E. Condon and G. Shortly, Theory of Atomic Spectra. London: Cam-bridge Univ. Press, 1951.
10. A. Edmonds, Angular Momentum, in Quantum Mechanics. Princeton, NJ: Princeton Univ. Press, 1957.
11. M. E. Rose, Elementary Theory of Angular Momentum. New York: Wiley, 1957.
12. M. Rotenberg, R. Bivins, N. Metropolis, and J. K. Wooten, Jr., The 3-j and 6 j Symbols. Cambridge, MA: Technol. Press, 1959.
13. A. P. Yutsis, I. B. Lcvinson. and V. V. VanagasMathematical apparatus of the theory of angular momentum." Vilnius, Lithuanian SSR, Acad. Sei., Publ. 3, 1960: NASA Tech. Transi. F-98, 1962; Jerusalem, Israel, 1960.
14. G. Y. Lyubarskii, The Application of Group Theory in Physics. New York: Pergamon, 1960.
15. V. Twersky On multiple scattering of waves," J. Res. Nat. Bureau of Standards, vol. 64D, pp. 715-730, 1960.
16. [ 16] _Scattering of waves by two objects," in Electromagnetic Waves, R. E. Langer, Ed. Wisconsin: Univ. of Wisconsin Press, 1962, pp. 361-389.
17. _Multiple scattering by arbitrary configurations in three dimensions," J. Math. Phys., vol. 3, pp. 83-91, 1962.
18. J. E. Burke and V. TwerskyOn scattering of waves by many bodies," J. Res. Nat. Bureau of Standards, vol. 88D, pp. 500-510, 1964.
19. V. TwerskyMultiple scattering of EM-waves by arbitraryconfigurations," J. Math. Phys., vol. 8, pp. 589-610, 1967.
20. B. Peterson and S. StrömMatrix formulation of acoustic scattering from an arbitrary number of scatterers," J. Acoitst. Soc. Amer., vol. 56, pp. 771-780, 1974: "Matrix formulation of acoustic scattering from multilayer scatterers," J. Acoitst. Soc. Amer., vol. 57, pp. 2-13, 1975.
21. B. Baker and E. Copson, The Mathematical Theory of Huyghen's Principle. Oxford: Clarendon, 1953.
22. R. MittraIntegral equation methods for transient scattering," in Transient Electromagnetic Fields, L. Felsen, Ed. New York: SpringerVerlag, 1976, pp. 74-129.
23. H. A. SchenckImproved integral formulation for radiation problems," J. Acoust. Soc. Amer., vol. 44, pp. 41-58, 1968.
24. D. S. JonesIntegral equations for the exterior acoustic problems," Quart. Mech. Appl. Math., vol. 27, pp. 129-142, 1974.
25. B. P. D. YakonovThe diffraction of electromagnetic waves by a sphere in a half-space." Bull. Acad. Sei. USSR (Geophys. Set:), vol. 11, pp. 1120-1125, 1959.
26. [26J O. Germogenova. "The scattering of a plane electromagnetic wave by two spheres," Acad. Sei. SSSR Press (Geophys. Ser.), vol. 4, pp. 648-653, 1963.
27. C. Liang and Y. T. LoScattering by two spheres," Radio Sei., vol. 2, pp. 1481-1495, 1967.
28. J. Crispin and K. Siegel, Eds., Methods of Radar Cross-Section Analysis. New York: Academic, 1968, pp. 251 255.
29. ]29] E. Ivanov, Diffraction of Electromagnetic Waves by Two Bodies. Minsk: Nauka i Tekhnika, 1968; NASA Tech. Transi. F-587. 1970.
30. S. Levine and G. OlaofeScattering of electromagnetic waves h\ two equal spherical particles," J. Colloïdal Interface Sei., vol. 27. pp. 442-457, 1968.
31. G. OlaofeScattering by two cylinders." Radio Sei., vol. 5. pp. 1351-1360, 1970.
32. J. Bruning and Y. LoMultiple scattering of electromagnetic waves by spheres. I. Multipole expansion and ray-optical solutions, and 11. Numerical and experimental results." IEEE Trans. Antenn. Propagat.. vol. AP-19, pp. 378-1-00, 1971.
33. L. MarnerskayaDiffraction of a plane scalar wave by two spheres." Sov. Phys.-Acoust., vol. 14, pp. 356-360, 1969.
34. R. New and T. J. EislerAcoustic radiation from multiple spheres." J. Sound Vibration, vol. 22, pp. 1-17, 1972.
35. A. BoströmScattering of stationary acoustic waves by an elastic object immersed in a fluid," J. Acoust. Soc. Amer., vol. 67, pp. 390-398, 1980: "Multiple scattering of elastic waves by bounded obstacles,'' J. Acoust. Soc. Amer., vol. 67, pp. 399-413, 1980.
36. A. A. KleshcevSound scattering by spheroidal bodies near an interface," Sov. Phys.-Acoust., vol. 23. pp. 225-228. 1977.
37. A. BoströmTransmission and refection of acoustic waves by an obstacle in a waveguide." Wave Motion, vol. 2, pp. 167-184. 1980.
38. G. C. Gaunaurd and M. F. McCarthy. "Resonances of elastic scatterers in fluid half-spaces," IEEE J. Oceanic Eng., vol. 12, pp. 395-03, 1987.
39. J. D. Jackson, Classical Electrodynamics. New York: Wiley, 1962. pp. 567 and 65.
40. W. Press, B. P. Flannery, S. A. Teukolsky. and W. T. Vetterling. Numerical Recipes. U.K.: Cambridge Univ. Press. 1986.
41. L. BakerC" Mathematical Function Handbook. New York: McGraw-Hill, 1991.
42. R. Skudrzyk, The Foundation of Acoustics. New York: SpringerVerlag, 1971, p. 412 (Fig. 20.13. originally computed by H. Stenzel).