2009
DOI: 10.1103/physreve.80.056604
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Statistics of the performance of time reversal in a lossy reverberating medium

Abstract: It has been proposed [J. Derosny, Ph.D. Thesis, Université Paris VI, 2000] that the performance of time reversal at recreating a coherent pulse in a strongly reverberating medium is directly proportional to the number of resonant modes M actively taking part at the transmission of energy. This idea is here tested against experimental results, showing that as soon as losses are taken into account, the quality of the focused pulse is a sublinear function of M , leading to a saturation phenomenon that was previo… Show more

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Cited by 27 publications
(31 citation statements)
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“…Table I also demonstrates another interesting feature: time-reversal-driven RCs generate peak fields that are affected by a statistical dispersion by far lower than for a harmonic excitation. This feature is related to the self-averaging properties of time-reversal techniques, as already pointed out in [5] and [6].…”
Section: Resultsmentioning
confidence: 57%
“…Table I also demonstrates another interesting feature: time-reversal-driven RCs generate peak fields that are affected by a statistical dispersion by far lower than for a harmonic excitation. This feature is related to the self-averaging properties of time-reversal techniques, as already pointed out in [5] and [6].…”
Section: Resultsmentioning
confidence: 57%
“…In order to assess the quality of the output signals generated by this kind of procedure, the mathematical analysis presented in this paper is developed within the framework introduced in [23], where each individual contribution b m (t) to the output signal is expressed as…”
Section: Trt : Coherent and Incoherent Contributionsmentioning
confidence: 99%
“…It is expected to hold with good precision as long as the number of degrees of freedom underlying the field distribution is much larger than one, as shown in [23]. This condition is not conservative, since it is required when time reversal is applied to complex media, as discussed in [20], [32].…”
Section: Theory Of Peak and Energy Contrastsmentioning
confidence: 99%
“…The stirrer has been used in order to provide different realizations of the chamber -for the present work fifty stirrer positions have been used. The heterogeneous media are well-known to be a proper environment for TR performance in terms of signal-to-noise ratio (SNR) [7]. The use of a reverberating chamber should consequently provide interesting performance in terms of focusing.…”
Section: Reverberation Chambermentioning
confidence: 99%