Calculation of acoustical scattering from a cluster of scatterers

Journal of the Acoustical Society of America

Volumn 103, Issue 2, 1998, Pages 721-734

  Koc, S ^a,b   Chew, W C ^a  

^a UNIVERSITY OF ILLINOIS AT URBANA CHAMPAIGN   (United States)

^b MIDDLE EAST TECHNICAL UNIVERSITY   (Turkey)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; CALCULATIONS; FAST FOURIER TRANSFORMS; MATHEMATICAL MODELS; MATRIX ALGEBRA; PROBLEM SOLVING; SPHERES;

ACOUSTIC FIELD; FAST MULTIPOLE METHOD FAST FOURIER TRANSFORM; MULTILEVEL FAST MULTIPOLE ALGORITHM; SCATTERERS;

ACOUSTIC WAVE SCATTERING;

ACOUSTICS; ALGORITHM; ARTICLE; FOURIER TRANSFORMATION; GEOMETRY; MATHEMATICAL ANALYSIS; PRIORITY JOURNAL;

EID: 0032006826     PISSN: 00014966     EISSN: None     Source Type: Journal    
DOI: 10.1121/1.421231     Document Type: Article

References (14)

1. L. L. Foldy, "The multiple scattering of waves," Phys. Rev. 67, 107-109 (1945).
2. U. Frisch, "Wave propagation in random media," in Probabilistic Methods in Applied Mathematics, edited by A.T. Bharucha-Reid (Academic, New York, 1968), Vol. 1, pp. 75-198.
3. A. Ishimaru, Wave Propagation and Scattering in Random Media (Academic, New York, 1978).
4. B. Peterson and S. Ström, "Matrix formulation of acoustic scattering from an arbitrary number of scatterers," J. Acoust. Soc. Am. 56, 771-780 (1974).
5. W. C. Chew, "Efficient computation of three-dimensional scattering of vector electromagnetic waves," J. Opt. Soc. Am. A 11, 1528-1537 (1994).
6. A. K. Hamid, I. R. Ciric, and M. Hamid, "Iterative solution of the scattering by an arbitrary configuration of conducting or dielectric spheres," IEE Proc.-H 138, 565-572 (1991).
7. F. de Daran, V. V. Lefebvre, and J. P. Parneix, "Modeling of electromagnetic waves scattered by a system of spherical particles," IEEE Trans. Magn. 31, 1598-1601 (1995).
8. R. Coifman, V. Rokhlin, and S. Wandzura, "The fast multipole method for the wave equation: A pedestrian prescription," IEEE Antennas Propag. Mag. 35, 7-12 (1993).
9. C. C. Lu and W. C. Chew, "A multilevel algorithm for solving a boundary integral equation of wave scattering," Microw. Opt. Technol. Lett. 7, 466-470 (1994).
10. J. M. Song and W. C. Chew, "Multilevel fast-multipole algorithm for solving combined field integral equations of electromagnetic scattering," Microw. Opt. Technol. Lett. 10, 14-19 (1995).
11. W. C. Chew, J. H. Lin, and X. G. Yang, "An FFT T-matrix method for 3D microwave scattering solutions from random discrete scatterers," Microw. Opt. Technol. Lett. 9, 194-196 (1995).
12. H. Can and W. C. Chew, "A discrete BCG-FFT algorithm for solving 3D inhomogeneous scatterer problems," J. Electromagn. Waves Appl. 9, 1339-1357 (1995).
13. Handbook of Mathematical Functions, edited by M. Abramowitz and I. A. Stegun (Dover, New York, 1972).
14. V. Rokhlin, "Diagonal forms of translation operators for the Helmholtz equation in three dimensions," Appl. Comput. Harmonic Anal. 1, 82-93 (1993).