Generalization of the k-space formulation to elastodynamic scattering problems

Journal of the Acoustical Society of America

Volumn 97, Issue 3, 1995, Pages 1373-1379

  Liu, Qing Huo ^a  

^a SCHLUMBERGER DOLL RESEARCH   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTICS; ARTICLE; FOURIER ANALYSIS; MATHEMATICAL ANALYSIS; PRIORITY JOURNAL; WAVEFORM;

EID: 0028948146     PISSN: 00014966     EISSN: NA     Source Type: Journal    
DOI: 10.1121/1.412079     Document Type: Article

References (11)

1. N.N. Bojarski, “The k-space formulation of the scattering problem in the time domain,” J. Acoust. Soc. Am. 72, 570–584 (1982).
2. N.N. Bojarski, “The k-space formulation of the scattering problem in the time domain: An improved single propagator formulation,” J. Acoust. Soc. Am. 77, 826–831 (1985).
3. B. Compani-Tabrizi, “k-space scattering formulation of the absorptive full fluid elastic scalar wave equation in the time domain,” J. Acoust. Soc. Am. 79, 901–905 (1986).
4. K. Aki and P.G. Richards, Quantitative Seismology: Theory and Methods (Freeman, San Francisco, 1980).
5. W.C. Chew, “Lecture Notes on Waves in Inhomogeneous Media,” Department of Electrical and Computer Engineering, University of Illinois, Urbana, IL (1991).
6. R. Burridge, “Some Mathematical Topics in Seismology,” Lecture Notes, Courant Institute of Mathematical Sciences, New York University, 1976.
7. N.F. Mott and S.W. Massey, The Theory of Atomic Collisions (Oxford U.P., London, 1965).
8. P.M. van den Berg, “Iterative computational techniques in scattering based upon the integrated square error criterion,” IEEE Trans. Antennas Propag. AP-32, 1063–1071 (1984).
9. T.K. Sarkar, E. Arvas, and S.M. Rao, “Application of the fast Fourier transform and the conjugate gradient method for efficient solution of electromagnetic scattering from both electrically large and small conducting bodies,” Electromagnetics 5, 99–122 (1985).
10. Q.H. Liu and W.C. Chew, “A CG-FFHT method for the scattering solution of axisymmetric inhomogeneous media,” Microwave Opt. Tech. Lett. 6, 101–104 (1993).
11. Q.H. Liu and W.C. Chew, “Applications of the CG-FFHT method with an improved FHT algorithm” (invited paper), Radio Sei. 29(4), 1009-1022 (1994).