Contrast source inversion methods in elastodynamics

Journal of the Acoustical Society of America

Volumn 114, Issue 5, 2003, Pages 2825-2834

  Pelekanos, George ^a   Abubakar, Aria ^b   Van den Berg, Peter M ^c  

^a SOUTHERN ILLINOIS UNIVERSITY EDWARDSVILLE   (United States)

^b SCHLUMBERGER DOLL RESEARCH   (United States)

^c DELFT UNIVERSITY OF TECHNOLOGY   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

ELASTIC WAVES; ELASTICITY; ELECTROMAGNETIC WAVE SCATTERING;

ELASTODYNAMICS;

ACOUSTICS;

ACOUSTICS; ARTICLE; DYNAMICS; ELASTICITY; ELECTROMAGNETIC RADIATION; NONLINEAR SYSTEM; PRIORITY JOURNAL;

EID: 0242693181     PISSN: 00014966     EISSN: None     Source Type: Journal    
DOI: 10.1121/1.1618751     Document Type: Article

References (23)

1. Y-H. Pao, "Elastic waves in solids," J. Appl. Mech. 50, 1152-1164 (1983).
2. J.F. Claerbout, Fundamentals of Geophysical Data Processing (McGraw-Hill, New York, 1976).
3. E.J. Aymè-Bellegarda and T.M. Habashy, "Ultrasonic inverse scattering of multidimensional objects buried in multilayered elastic background structures," IEEE Trans. Ultrason. Ferroelectr. Freq. Control 39, 11-18 (1992).
4. G. Pelekanos, R.E. Kleinman, and P.M. van den Berg, "Inverse scattering in elasticity - A modified gradient approach," Wave Motion 32, 57-65 (2000).
5. P.M. van den Berg and R.E. Kleinman, "A contrast source inversion method," Inverse Probl. 13, 1607-1620 (1997).
6. P.M. van den Berg, A.L. van Broekhoven, and A. Abubakar, "Extended contrast source invèrsion," Inverse Probl. 15, 1325-1344 (1999).
7. P.M. van den Berg and A. Abubakar, "Contrast source inversion method: State of art," Prog. Electromagn. Res. 34, 189-218 (2001).
8. A. Abubakar, P.M. van den Berg, and B.J. Kooij, "A conjugate gradient contrast source technique for 3D profile inversion," Special Issue on Problems of Random Scattering and Electromagnetic Wave Sensing, IEICE Trans. Electron. E83-C, 1864-1874 (2000).
9. R.F. Bloemenkamp, A. Abubakar, and P.M. van den Berg, "Inversion of experimental multifrequency data using the Contrast Source Inversion method," Special Issue on Testing Inversion Algorithms Against E. Experimental Data, Inverse Probl. 17, 1611-1622 (2001).
10. V.D. Kupradze, Progress in Solid Mechanics (North-Holland, New York, 1963), Vol. III.
11. P.M. Morse and H. Feshbach, Methods of Mathematical Physics (McGraw-Hill, New York, 1953), Part II.
12. A.C. Eringen and E.S. Suhubi, Elastodynamics (Academic, New York, San Francisco, London, 1983), Vol. II.
13. R. Acar and C.R. Vogel, "Analysis of bounded variation penalty methods for ill-posed problems," Inverse Probl. 10, 1217-1229 (1994).
14. P. Blomgren, T.F. Chan, P. Mulet, and C.K. Wong, "Total variation image restorations: Numerical methods and extensions," IEEE Proc. ICIP 97, 384-387 (1997).
15. D.C. Dobson and F. Santosa, "An image-enhancement technique for electrical impedance tomography," Inverse Probl. 10, 317-334 (1994).
16. D.C. Dobson and F. Santosa, "Recovery of blocky images for noisy and blurred data," SIAM (Soc. Ind. Appl. Math.) J. Appl. Math. 56, 1181-1198 (1996).
17. P.M. van den Berg and R.E. Kleinman, "A total variation enhanced modified gradient algorithm for profile reconstruction," Inverse Probl. 11, L5-L10 (1995).
18. P.C. Hansen, "Analysis of discrete ill-posed problems by means of the L-curve," SIAM Rev. 34, 561-580 (1992).
19. T.F. Chan and C.K. Wong, "Total variation blind deconvolution, " IEEE Trans. Image Process. 7, 370-375 (1998).
20. L. Rudin, S. Osher, and C. Fatemi, "Nonlinear total variation based noise removal algorithm," Physica D 60, 259-268 (1992).
21. G. Pelekanos, R.E. Kleinman, and P.M. van den Berg, "A weak form of the conjugate gradient FFT method for two-dimensional elastodynamics," J. Comput. Phys. 160, 597-611 (2000).
22. R.M. White, "Elastic wave scattering at a cylindrical discontinuity in a solid," J. Acoust. Soc. Am. 30, 771-785 (1958).
23. P.M. van den Berg and A. Abubakar, "Inverse scattering algorithms based on contrast source integral representations," Inverse Probl. Eng. 10, 559-576 (2002).