Inversion scattering in finite space domain

Journal of the Acoustical Society of America

Volumn 100, Issue 6, 1996, Pages 3600-3606

  Novotný, Tomáš ^a,b   Matsumoto, Eiji ^b   Shibata, Toshinobu ^b  

^a CZECH TECHNICAL UNIVERSITY IN PRAGUE   (Czech Republic)

^b KYOTO UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; BOUNDARY CONDITIONS; GREEN'S FUNCTION; INTEGRAL EQUATIONS; INVERSE PROBLEMS; LINEARIZATION;

FINITE SPACE DOMAIN; FIRST BORN APPROXIMATION; HARMONIC FUNCTION; ONE DIMENSIONAL; TWO DIMENSIONAL;

ACOUSTIC WAVE SCATTERING;

ACOUSTICS; ARTICLE; MATHEMATICAL ANALYSIS; PRIORITY JOURNAL; SOUND TRANSMISSION;

EID: 0030560589     PISSN: 00014966     EISSN: None     Source Type: Journal    
DOI: 10.1121/1.417333     Document Type: Article

References (30)

1. O. Ikeda, T. Sato, Y. Minade, and A. Fukushima, "Image reconstruction from disturbed synthesic aperture sonar data using aperture division," J. Acoust. Soc. Am. 78, 112-119 (1985).
2. R. Pitre and N. R. Davis, "Application of probability modeling and Bayesian inversion to passive sonar signal processing. I. Concepts and formulation," J. Acoust. Soc. Am. 97, 978-992 (1995).
3. R. Pitre and N. R. Davis, "Application of probability modeling and Bayesian inversion to passive sonar signal processing. II. Application to ocean acoustic source localization," J. Acoust. Soc. Am. 97, 993-1005 (1995).
4. T. Wakayama, T. Sato, and I. Kimura, "High-resolution radar image reconstruction using an arbitrary array," IEICE Trans. Commun. E76-B, 1305-1312 (1993).
5. T. Sato, K. Takeda, T. Wakayama, I. Kimura, T. Abe, and T. Shinbo, "Automatic data processing procedure for ground probing radar," IEICE Trans. Commun. E77-B, 831-837 (1994).
6. D. K. Hsu, J. H. Rose, and D. O. Thompson, "Reconstruction of inclusions in solids using ultrasonic born inversion," J. Appl. Phys. 55, 162-168 (1984).
7. S. Holý, "An invisible danger of schematization and its deleting by means of experiment," Proceedings of the 4th Bilateral German/Czech Symposium on Experimental Mechanics Methods in Nondestructive Testing of Structures and Structural Elements, Bergische Universität Wuppertal, Physikzentrum Bad Honnef/Rhein, 1-2 (1993).
8. S. Holý and T. Novotný, "An invisible danger of schematization and the role of experiment in its deleting," Proceedings of the 10th Danubia-Adria Symposium on Experimental Mechanics in Solids, Měřín-Prague, 43-44 (1993).
9. D. Colton, and P. Monk, "The numerical solution of the three-dimensional inverse scattering problem for time harmonic acoustic waves," SIAM J. Sci. Stat. Comput. 8, 278-291 (1987).
10. A. Gottvald, "Inverse problems of ECT. Part 1: Modeling; and Part 2: Meta-optimization and statistical regularization," The Second Japanese-Czech-Slovak Joint Seminar on Applied Electromagnetics, Kyoto, Japan (1994).
11. D. A. Sotiropoulos, J. D. Achenbach, and H. Zhu, "An inverse scattering method to characterize inhomogeneities in elastic solids," J. Appl. Phys. 62, 2771-2777 (1987).
12. D. K. Hsu, J. H. Rose, and D. O. Thompson, "Ultrasonic 3-D reconstruction of inclusions in solids using the inverse born algorithm," Rev. Progr. Quan. Nondestruct. Eval. 2B, 995-1018 (1983).
13. D. A. Tortorelli, Z. Wang, and G. Krishnasamy, "Flaw characterization and sizing using sensitivity analysis and the boundary element method," Rev. Progr. Quan. Nondestruct. Eval. 11, 837-842 (1992).
14. J. Yang and L. J. Bond, "Ultrasonic technique for sizing voids by using area functions," IEE Proc. A 139(2), 45-50 (1992).
15. C. Esmersoy, M. L. Oristaglio, and B. C. Levy, "Multidimensional Born velosity inversion: Single wideband point source," J. Acoust. Soc. Am. 78, 1052-1057 (1985).
16. S. Berkeshli and R. G. Lautzenheiser, "An iterative method for inverse scattering problems based on an exact gradient search," Radio Sci. 29, 1119-1130 (1994).
17. C. Tores-Verdín and T. M. Habashy, "Rapid 2.5-dimensional forward modeling and inversion via a new nonlinear scattering approximation," Radio Sci. 29, 1051-1079 (1994).
18. T. M. Habashy and M. L. Oristaglio, "Simultaneous nonlinear reconstruction of two-dimensional permitivity and conductivity," Radio Sci. 29, 1101-1118 (1994).
19. R. E. Kleiman, and P. M. van den Berg, "Two-dimensional location and shape reconstruction," Radio Sci. 29, 1157-1169 (1994).
20. P. Gerstoft, "Inversion of acoustic data using a combination of genetic algorithms and the Gauss-Newton approach," J. Acoust. Soc. Am. 97, 2181-2190 (1995).
21. M. Kitahara, and K. Nakagawa, "Phase shift determination of scattered far fields and its application to an inverse problem," Rev. Progr. Quan. Nondestruct. Eval. 11, 829-836 (1992).
22. V. V. Varadan, A. Lakhataia, and V. K. Varadan, Field Representation and Introduction to Scattering (North-Holland, Elsevier Science, Amsterdam, 1991), Vol. 1, pp. 38-40.
23. D. G. Crighton, A. P. Downing, J. E. Flowcs Williams, M. Henckl, and F. G. Leppington, Modern Methods in Analytical Acoustics (Springer-Verlag, London, 1992), pp. 62-66.
24. L. Zapalowski, M. A. Fiddy, and S. Leeman, "On inverse scattering in the first born approximation," IEEE Ultrason. Symp. 2, 827-830 (1984).
25. C. W. Groetsch, Inverse Problems in the Mathematical Sciences (Vieweg, Wiesbaden, 1993), pp. 5-40.
26. D. W. Oldenburg, "Practical strategies for solution of large-scale electromagnetic inverse problems," Radio Sci. 29, 1081-1099 (1994).
27. S. A. Johnson, and M. L. Tracy, "Inverse scattering solutions by a sinc basis, multiple source, moment method. Part I: Theory," Ultrason. Imag. 5, 361-375 (1983).
28. S. A. Johnson, and M. L. Tracy, "Inverse scattering solutions by a sinc basis, multiple source, moment method. Part II: Numerical evaluations," Ultrason. Imag. 5, 376-392 (1983).
29. S. A. Johnson, and M. L. Tracy, "Inverse scattering solutions by a sinc basis, multiple source, moment method. Part III: Fast algorithms," Ultrason. Imag. 6, 103-116 (1984).
30. D. R. Thompson, W. Rodi, and M. N. Toksöz, "Nonlinear seismic diffraction tomography using minimum structure constraints," J. Acoust. Soc. Am. 95, 324-330 (1994).