Time domain topological gradient and time reversal analogy: An inverse method for ultrasonic target detection

Wave Motion

Volumn 42, Issue 1, 2005, Pages 31-52

  Dominguez, Nicolas ^a,b   Gibiat, V ^b   Esquerre, Y ^a  

^a AIRBUS   (France)

^b UNIVERSITÉ DE TOULOUSE   (France)

Author keywords

Inverse scattering; Non destructive evaluation; Time reversal; Topological gradient; Ultrasonic imaging

Indexed keywords

FUNCTIONS; INVERSE PROBLEMS; PROBLEM SOLVING; SENSORS; TOPOLOGY;

COST FUNCTIONS; LINEAR ARRAYS; TOPOLOGICAL GRADIENTS; ULTRASONIC TARGET DETECTION;

ULTRASONIC WAVES;

ULTRASONICS;

EID: 17144405698     PISSN: 01652125     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.wavemoti.2004.09.005     Document Type: Article

References (31)

1. C. Prada F. Wu M. Fink The iterative time reversal mirror: A solution to self-focusing in the pulse echo mode JASA 90 1991 1119-1129
2. C. Prada M. Fink Eigenmodes of the time reversal operator: A solution to selective focusing in multiple-target media Wave Motion 20 1994 151-163
3. C. Prada S. Manneville D. Spoliansky M. Fink Decomposition of the time reversal operator: Detection and selective focusing on two scatterers JASA 99 1996 2067-2076
4. M. Fink C. Prada F. Wu D. Cassereau Self focusing with time reversal mirror in inhomogeneous media Proc. IEEE Ultrason. Symp. 2 1989 681-686
5. M. Fink Time reversal of ultrasonic fields. Part I. Basic principles IEEE Trans. Ultrason. Ferroelectr. Freq. Contr. 39 1992 555-566
6. L. Borcea G. Papanicolaou C. Tsogka J. Berryman Imaging and time reversal in random media Inverse Probl. 18 5 2002 1247-1279
7. P. Blomgren G. Papanicolaou H. Zhao Super-resolution in time reversal acoustics JASA 111 1 2002 230-248
8. A.J. Devaney, Super-resolution processing of multi-static data using time reversal and MUSIC, JASA, in press.
9. A.J. Devaney Introduction to inverse scattering theory and diffraction tomography in: Proceedings of the Summer School on Imaging of Complex Media with Acoustic and Seismic Waves in Cargèse France 2003
10. A. Tarantola Theoretical background for the inversion of seismic waveforms, including elasticity and attenuation PAGEOPH 128 1/2 1988
11. A. Schumacher, Topologieoptimierung von Bauteilstrukturen unter Verwendung von Lopchpositionierungkrieterien, PhD Thesis, Universität-Gesamthochschule-Siegen, 1995.
12. H.A. Eschenauer V.V. Kobelev A. Schumacher Bubble method for topology and shape optimization of structures J. Struct. Optim. 8 1994 42-51
13. J. Sokolowski A. Zochowski On the topological derivative in shape optimization SIAM J. Contr. Optim. 37 4 1999 1251-1272
14. M. Masmoudi, The topological asymptotic, in: R. Glowinski, H. Kawarada, J. Periaux (Eds.), Computational Methods for Control Applications, Gakuto International Series: Mathematical Sciences and Applications, vol. 16, 2002.
15. S. Garreau Ph. Guillaume M. Masmoudi The topological asymptotic for PDE systems: The elasticity case SIAM J. Contr. Optim. 39 6 2001 1756-1778
16. F. Natterer F. Wubbeling A propagation-backpropagation method for ultrasound tomography Inverse Probl. 11 1995 1225-1232
17. A.A. Oberai G.R. Feijoo P.M. Pinsky Prediction of elastic material properties via an adjoint formulation JASA 110 5 2001 2759
18. A.A. Oberai N.H. Gokhale G.R. Feijoo Solution of inverse problems in elasticity imaging using the adjoint method Inverse Probl. 19 2003 297-313
19. J. Pommier, L'Asymptotique Topologique en électromagnétisme, PhD Thesis, Université de Toulouse 3, France, 2002.
20. S. Amstutz, Topological sensitivity for some nonlinear systems, J. Math. Pure Appl., in press.
21. J.L. Lions Optimal Control of Systems Governed by Partial Differential Equations 1971 Springer
22. J. Virieux P-SV wave propagation in heterogeneous media: Velocity-stress finite-difference method Geophysics 51 4 1986 889-901
23. M. Tanter, Application of time reversal focusing to ultrasonic brain hyperthermia, PhD Thesis, University Paris VII, France, 1999. Software URL: http://www.loa.espci.fr/~michael/fr/acel/aceltest.htm.
24. F. Collino C. Tsogka Application of the perfectly matched layer model to the linear elastodynamic problem in anisotropic heterogeneous media Geophysics 66 1 2001 294-307
25. J. Cea S. Garreau Ph. Guillaume M. Masmoudi The shape and topological optimizations connection Comput. Meth. Appl. Mech. Eng. 188 2000 713-726
26. D. Cassereau M. Fink Time reversal of ultrasonic fields. Part III. Basic principles IEEE Trans. Ultrason. Ferroelectr. Freq. Contr. 39 1992 579-592
27. M. Tanter J.F. Aubry J. Gerber J.L. Thomas M. Fink Optimal focusing by spatio-temporal inverse filter. Part I. Basic principles JASA 110 1 2001 37-47
28. J.F. Aubry M. Tanter J. Gerber J.L. Thomas M. Fink Optimal focusing by spatio-temporal inverse filter. Part II. Experiments JASA 110 1 2001 48-58
29. G. Montaldo M. Tanter M. Fink Real time inverse filter focusing through iterative time reversal JASA 115 2 2004 768-775
30. G. Montaldo M. Tanter M. Fink Revisiting iterative time reversal: Real time detection of multiple targets JASA 115 2 2004 776-784
31. A. Tourin, Diffusion multiple et renversement du temps des ondes ultrasonores, PhD Thesis, Université de Paris VII, 1999.