Computation of scattering from N spheres using multipole reexpansion

Journal of the Acoustical Society of America

Volumn 112, Issue 6, 2002, Pages 2688-2701

  Gumerov, Nail A ^a   Duraiswami, Ramani ^a  

^a UNIVERSITY OF MARYLAND   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY ELEMENT METHOD; COMPUTATIONAL METHODS; MATRIX ALGEBRA; RECURSIVE FUNCTIONS; SPHERES;

DISCRETIZATIONS;

ACOUSTIC WAVE SCATTERING;

ACOUSTICS;

ACOUSTICS; ARTICLE; CALCULATION; INTERMETHOD COMPARISON; MATHEMATICAL ANALYSIS; METHODOLOGY; PRIORITY JOURNAL; VALIDATION PROCESS;

EID: 0041423295     PISSN: 00014966     EISSN: None     Source Type: Journal    
DOI: 10.1121/1.1517253     Document Type: Article

References (27)

1. Algazi, V. R., Duda, R. O., Duraiswami, R., Gumerov, N. A., and Tang, Z. (2002). "Approximating the head-related transfer function using simple geometric models of the head and torso," J. Acoust. Soc. Am. 112, 2053-2064.
2. Brunning, J. H., and Lo, Y. T. (1971). "Multiple scattering of EM waves by spheres, parts I and II," IEEE Trans. Antennas Propag. AP-19(3), 378-400.
3. Chew, W. C. (1992). "Recurrence relations for three-dimensional scalar addition theorem," J. Electromagn. Waves Appl. 6(2), 133-142.
4. Duda, R. O., and Martens, W. L. (1998). "Range dependence of the response of a spherical head model," J. Acoust. Soc. Am. 104. 3048-3058.
5. Duraiswami, R., and Prosperetti, R. (1995). "Linear pressure waves in fogs," J. Fluid Mech. 299, 187-215.
6. Duraiswami, R., Gumerov, N. A., Davis, L., Shamma, S. A., Elman, H. C., Duda, R. O., Algazi, V. R., Liu, Q-H., and Raveendra, S. T. (2000). "Individualized HRTFs using computer vision and computational acoustics," J. Acoust. Soc. Am. 108, 2597(A). Also available on the web at http://www.acoustics.org/press/140th/duraiswami.htm.
7. Epton, M. A., and Dembart, B. (1995). "Multipole translation theory for the three-dimensional Laplace and Helmholtz equations," SIAM J. Sci. Comput. 4, 865-897.
8. Gaunaurd, G. C., and Huang, H. (1994). "Acoustic scattering by a spherical body near a plane boundary," J. Acoust. Soc. Am. 96, 2526-2536.
9. Gaunaurd, G. C., Huang, H., and Strifors, H. (1995). "Acoustic scattering by a pair of spheres," J. Acoust. Soc. Am. 98(1), 495-507.
10. Gumerov, N. A., and Duraiswami, R. (2001a). "Fast, Exact, and Stable Computation of Multipole Translation and Rotation Coefficients for the 3-D Helmholtz Equation," University of Maryland Institute for Advanced Computer Studies Technical Report UMIACS-TR-#2001-44. Also CS-TR-#4264. (Available at http://www.cs.umd.edu/Library/TRs/CS-TR-4264/CS-TR-4264.pdf).
11. Gumerov, N. A., and Duraiswami, R. (2001b). "Modelling the effect of a nearby boundary on the HRTF," Proc. International Conference on Acoustics, Speech, and Signal Processing 2001, Salt Lake City, UT, 7-11 May 2001, Vol. 5, pp. 3337-3340.
12. Gumerov, N. A., Duraiswami, R., and Tang, Z. (2002). "Numerical study of the influence of the torso on the HRTF," to appear in Proc. of the International Conference on Acoustics, Speech and Signal Processing, Orlando, FL, 2002.
13. Gumerov, N. A., Ivandaev, A. I., and Nigmatulin, R. I. (1988). "Sound waves in monodisperse gas-particle or vapour-droplet mixtures, " J. Fluid Mech. 193, 53-74.
14. Hanish, S. (1981). A Treatise on Acoustical Radiation, Naval Research Laboratory, Washington, DC, pp. 123-125.
15. Huang, H., and Gaunnaurd, G. C. (1995). "Acoustic scattering of a plane wave by two spherical elastic shells," J. Acoust. Soc. Am. 98, 2149-2156.
16. Kahana, Y. (2001). "Numerical modeling of the head-related transfer function," Ph.D. thesis, University of Southampton.
17. Katz, B. F. G. (2001). "Boundary element method calculation of individual head-related transfer function. I. Rigid model calculations," J. Acoust. Soc. Am. 110, 2440-2448.
18. Koc, S., and Chew, W. C. (1998). "Calculation of acoustical scattering from a cluster of scatterers," J. Acoust. Soc. Am. 103, 721-734.
19. Koc, S., Song, J., and Chew, W. C. (1999). "Error analysis for the numerical evaluation of the diagonal forms of the scalar spherical addition theorem," SIAM (Soc. Ind. Appl. Math.) J. Numer. Anal. 36, 906-921.
20. Marnevskaya, L. A. (1969). "Diffraction of a plane scalar wave by two spheres," Sov. Phys. Acoust. 14(3), 356-360.
21. Marnevskaya, L. A. (1970). "Plane wave scattering by two acoustically-rigid spheres," Sov. Phys. Acoust. 15(4), 499-502.
22. Mishchenko, M. I., Travis, L. D., and Mackowski, D. W. (1996). "T-matrix computations of light scattering by nonspherical particles: a review," J. Quant. Spectrosc. Radiat. Transf. 55, 535-575.
23. Morse, P. M., and Feshbach, H. (1953). Methods of Theoretical Physics - I (McGraw-Hill, New York).
24. Peterson, B., and Strom, A. (1974). "Matrix formulation of acoustic scattering from an arbitrary number of scatterers," J. Acoust. Soc. Am. 56, 771-780.
25. Rokhlin, V. (1993). "Diagonal forms of translation operators for the Helmholtz equation in three dimensions," Appl. Comp. Harmonic Analysis 1, 82-93.
26. Varadan, V. K., and Varadan, V. V. (1980). Acoustic, Electromagnetic and Elastic Wave Scattering: Focus on the T-Matrix Approach (Pergamon, New York).
27. Waterman, P. C., and Truell, R. (1961). "Multiple scattering of waves," J. Math. Phys. 2, 512-537.