Time-reversal-based detection in random media

Inverse Problems

Volumn 21, Issue 5, 2005, Pages 1593-1619

  Bal, Guillaume ^a   Pinaud, Olivier ^a  

^a Columbia University ^*  (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTIC WAVE PROPAGATION; COMPUTER SIMULATION; DIFFUSION; INCLUSIONS; MATHEMATICAL MODELS; MEASUREMENT THEORY; SIGNAL TO NOISE RATIO;

MACROSCOPIC DIFFUSION MEASUREMENT; RANDOM MEDIA; TIME-REVERSAL-BASED DETECTION; WAVE ENERGY DENSITY;

RANDOM PROCESSES;

EID: 25444499228     PISSN: 02665611     EISSN: None     Source Type: Journal    
DOI: 10.1088/0266-5611/21/5/006     Document Type: Article

References (41)

1. Alfaro Vigo D G, Fouque J-P, Garnier J and Nachbin A 2004 Robustness of time reversal for waves in time-dependent random media Stoch. Process. Appl. 113 289-313
2. Ammari H, Moskow S and Vogelius M S 2003 Boundary integral formulae for the reconstruction of electric and electromagnetic inhomogeneities of small volume ESAIM Control Optim. Calc. Var. 9 49-66
3. Ammari K and Kang H 2004 Reconstruction of Small Inhomogeneities from Boundary Measurements (Lecture Notes in Mathematics) (Berlin: Springer)
4. Asch M, Kohler W, Papanicolaou G, Postel M and White B 1991 Frequency content of randomly scattered signals SIAM Rev. 33 519-625
5. Bal G 2003 Optical tomography for small volume absorbing inclusions Inverse Problems 19 371-86
6. Bal G 2004 On the self-averaging of wave energy in random media Multiscale Model. Simul. 2 398-420
7. Bal G, Freilikher V, Papanicolaou G and Ryzhik L 2000 Wave transport along surfaces with random impedance Phys. Rev. B 62 6228-40
8. Bal G, Komorowski T and Ryzhik L 2003 Self-averaging of wigner transforms in random media Commun. Math. Phys. 242 81-135
9. Bal G, Papanicolaou G and Ryzhik L 2002 Self-averaging in time reversal for the parabolic wave equation Stoch. Dyn. 4 507-31
10. Bal G and Ryzhik L 2001 Time reversal for classical waves in random media C. R. Acad. Sci. Paris I 333 1041-6
11. Bal G and Ryzhik L 2003 Time reversal and refocusing in random media SIAM J. Appl. Math. 63 1475-98
12. Bal G and Ryzhik L 2005 Stability of time reversed waves in changing media Discrete Continous Dyn. Syst. A 12 793-815
13. Bal G and Verástegui R 2004 Time reversal in changing environment Multiscale Model. Simul. 2 639-61
14. Berenger J P 1994 A perfectly matched layer for the absorption of electromagnetic waves J. Comput. Phys. 114 185-200
15. Berenger J P 1996 Three-dimensional perfectly matched layer for the absorption of electromagnetic waves J. Comput. Phys. 127 363-79
16. Blomgren P, Papanicolaou G and Zhao H 2002 Super-resolution in time-reversal acoustics J. Acoust. Soc. Am. 111 230-48
17. Borcea B, Papanicolaou G and Tsogka C 2003 Theory and applications of time reversal and interferometric imaging Inverse Problems 19 S139-S164
18. Borcea B, Papanicolaou G, Tsogka C and Berryman J 2002 Imaging and time reversal in random media Inverse Problems 18 1247-79
19. Cedio-Fengya D J, Moskow S and Vogelius M S 1998 Identification of conductivity imperfections of small diameter by boundary measurements. Continuous dependence and computational reconstruction Inverse Problems 14 553-94
20. Clouet J F and Fouque J-P 1997 A time-reversal method for an acoustical pulse propagating in randomly layered media Wave Motion 25 361-8
21. Cohen G C 2002 Higher-order numerical methods for transient wave equations Scientific Computation (Berlin: Springer)
22. Dautray R and Lions J-L 1993 Mathematical Analysis and Numerical Methods for Science and Technology vol 6 (Berlin: Springer)
23. Davison A C 2003 Statistical Models (Cambridge: Cambridge University Press)
24. Derode A, Tourin A, de Rosny J, Tanter M, Yon S and Fink M 2003 Taking advantage of multiple scattering to communicate with time reversal antennas Phys. Rev. Lett. 90 014301
25. Dubois A, Belkebir K and Saillard M 2004 Localization and characterization of two-dimensional targets buried in a cluttered environment Inverse Problems 20 S63-S79
26. Edelmann G F, Akal T, Hodgkiss W S, Kim S, Kuperman W A and Song H C 2002 An initial demonstration of underwater acoustic communication using time reversal IEEE J. Ocean. Eng. 27 602-9
27. Engl H W, Hanke M and Neubauer A 1996 Regularization of Inverse Problems (Dordrecht: Kluwer)
28. Fink M 2001 Chaos and time-reversed acoustics Phys. Scr. 90 268-77
29. Foschini G J and Gans M 1998 On limits of wireless communication in a fading environment when using multiple antennas Wirel. Pers. Commun. 6 311
30. Fouque J-P and Sølna K 2003 Time-reversal aperture enhancement Multiscale Model. Simul. 1 239-59
31. Haider M, Mehta K and Fouque J-P 2004 Time-reversal simulations for detection in randomly layered media Waves Random Media 185-98
32. Hodgkiss W, Song H, Kuperman W, Akal T, Ferla C and Jackson D 1999 A long-range and variable focus phase-conjugation experiment in shallow water J. Acoust. Soc. Am. 105 1597-604
33. Isakov V 1998 Inverse Problems for Partial Differential Equations (New York: Springer)
34. Keller J B 1964 Stochastic equations and wave propagation in random media Proc. Symp. Appl. Math. vol 16 (Providence, RI: American Mathematical Society) pp 145-70
35. Klibanov M V and Timonov A 2004 Carleman Estimates for Coefficient Inverse Problems and Numerical Applications Inverse and Ill-Posed Problems Series (Leiden: VSP)
36. Lui D, Kang G, Li L, Chen Y, Vasudevan S, Joines W, Liu Q, Krolik J and Carin L 2005 Electromagnetic time-reversal imaging of a target in a cluttered environment IEEE Trans. Antennas Propagat. at press
37. Moustakas A L, Baranger H U, Balents L, Sengupta A M and Simon S H 2000 Communication through a diffusive medium: coherence and capacity Science 287 287-90
38. Oestges C, Kim A D, Papanicolaou G and Paulraj A J 2005 Characterization of space-time focusing in time reversed random fields IEEE Trans. Antennas Propagat. 53 283-93
39. Papanicolaou G, Ryzhik L and Sølna K 2004 Statistical stability in time reversal SIAM J. Appl. Math. 64 1133-55
40. Ryzhik L, Papanicolaou G and Keller J B 1996 Transport equations for elastic and other waves in random media Wave Motion 24 327-70
41. Sheng P 1995 Introduction to Wave Scattering, Localization and Mesoscopic Phenomena (New York: Academic)