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Abstract: Time-reversal refocusing for waves propagating in inhomogeneous media have recently been observed and studied experimentally in various contexts (ultrasound, underwater acoustics, ...), see for instance [9]. Important potential applications have been proposed in various fields, for instance in imaging or communication. However, the full mathematical analysis, meaning both modeling of the physical problem and derivation of the time-reversal effect is a deep and complex problem. Two cases that... (Update)
Context of citations to this paper: More
.... is the self averaging phenomenon which has been explored numerically and analytically in [1, 6, 27] and for layered random media in [14, 21] and the references therein. Since any reflection based imaging method involves some form of time reversal or backpropagation into the...
.... This is the self averaging phenomenon which has been explored numerically and analytically in [8, 38, 2] and for layered random media in [18, 28] and the references therein. Self averaging is important because it di#erentiates between an observable refocusing with super...
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Self-averaging of Wigner transforms in random media - Bal, Komorowski, Ryzhik (2003) (Correct)
Acoustic Pulse Spreading In A Random Fractal - Kn Ut Lna (Correct)
Theory and Applications of Time Reversal and.. - Borcea, Papanicolaou.. (2003) (Correct)
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0.8: Acoustic Pulses Propagating In Randomly Layered Media - Fouque (Correct)
0.7: Ray Theory for a Locally Layered Random Medium - Sølna, Papanicolaou (1999) (Correct)
0.4: A Resolution Study for Imaging and Time Reversal in.. - Borcea, Papanicolaou.. (2003) (Correct)
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0.3: Resolution Estimation for Imaging and Time Reversal in .. - Borcea, Papanicolaou, .. (Correct)
0.3: On Waves In Random Media In The Diffusion-Approximation Regime - Fouque, Garnier (Correct)
0.2: Time Reversal and Refocusing in Random Media - Bal, Ryzhik (2003) (Correct)
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3: Acoustic time-reversal mirrors (context) - Fink, Prada - 2001
3: Super-Resolution in Time-Reversal Acoustics - Blomgren, Papanicolaou et al. - 2001
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BibTeX entry: (Update)
J. P. Fouque and K. Solna. Time-reversal aperture enhancement. preprint, 2000. 13 http://citeseer.ist.psu.edu/fouque00timereversal.html More
@misc{ fouque00timereversal,
author = "J. Fouque and K. Solna",
title = "Time-reversal aperture enhancement",
year = "2000",
url = "citeseer.ist.psu.edu/fouque00timereversal.html" }
Citations (may not include all citations):55 Asymptotic Expansions of Integrals (context) - Bleistein, Handelsman - 1975
40 Frequency content of randomly scattered signals - Asch, Kohler et al. - 1991
23 Time-reversed acoustics (context) - Fink - 1999
19 Super-Resolution in Time-Reversal Acoustics - Blomgren, Papanicolaou et al. - 2002
13 Spreading of a pulse travelling in random media - Clouet, Fouque - 1994
8 Self-averaging in time-reversal for the parabolic wave equat.. - Bal, Papanicolaou et al. - 2002
5 Statistical stability in time-reversal - Papanicolaou, Ryzhik et al. - 2002
4 Pulse stabilisation in a strongly heterogeneous layered medi.. (context) - Lewicki, Burridge et al. - 1994
3 Pressure elds generated by acoustical pulses propagating in .. (context) - Chillan, Fouque - 1998
3 ective medium theory: pulse stabilization for multimode wave.. (context) - Lewicki, Burridge et al. - 1996
3 Focusing of time-reversed re ections (context) - lna - 2002
2 Refocusing of a time-reversed acoustical pulse propagating i.. (context) - Ndzie - 2001
2 Ray theory for a locally layered medium (context) - lna, Papanicolaou - 2000
1 The O'Doherty Anstey theory and time-reversal for nonlinear .. (context) - Fouque, Garnier et al. - 2002
1 Time-reversal for dispersive waves in random media (context) - Fouque, Garnier et al. - 2002
1 Shallow water waves with a multiscale topography (context) - Nachbin, Solna
1 Anstey Refections on amplitudes (context) - O'Doherty - 1971
1 Statistics for pulse re exion from a randomly layered medium (context) - Burridge, Papanicolaou et al. - 1987
1 Fouque A time-reversal method for an acoustical pulse propag.. (context) - Clouet - 1997
1 Time-reversed focusing of surface water waves (context) - Fouque, Nachbin - 2002
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