Sensing small changes in a wave chaotic scattering system

Taddese, Biniyam Tesfaye; Antonsen, Thomas M.; Ott, Edward; Anlage, Steven M.

doi:10.1063/1.3518047

Cited by 22 publications

(27 citation statements)

References 31 publications

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“…TR mirrors have applications in communications, [4][5][6][7] imaging, 8,9 source localization, 10 non-destructive evaluation, 11,12 selective beamforming, 13 and sensing. 3,14,15 The principles underlying TR mirrors are closely linked with the concepts of scattering fidelity, 16 and the Loschmidt echo. 14 TR mirrors are used to focus waves both in space and time.…”

Section: Introductionmentioning

confidence: 99%

“…14,15 In that case, the exponential amplification technique was successfully employed to extend the spatial range of the TR based sensing techniques. Exponential amplification has also been employed to remove the effects of dissipation on the scattered field intensity in disordered wave propagation systems.…”

Section: Introductionmentioning

confidence: 99%

“…Unlike the work in Ref. 15, the application involves improving the performance of TR mirrors which suffer from dissipation. The performance of TR mirrors is defined as the normalized correlation between the original pulse and the time reversed version of the reconstructed pulse (after some postprocessing).…”

Section: Introductionmentioning

confidence: 99%

“…II, the theory supporting the exponential amplification technique, first discussed in Ref. 15, is summarized. A measure of the performance of TR mirrors, which was not discussed in Ref.…”

Section: Introductionmentioning

confidence: 99%

“…A measure of the performance of TR mirrors, which was not discussed in Ref. 15, is also defined in Sec. II.…”

Section: Introductionmentioning

confidence: 99%

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The effects of non-uniform loss on time reversal mirrors

et al. 2014

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A time-reversal mirror in a solid circular waveguide using a single, time-reversal element ARLO 4, 31 (2003); 10.1121/1.1558377 The remote field effect: Models and interpretations AIP Conf. Proc. 497, 95 (1999); 10.1063/1.1301989Effect of suppressing of the photodeflection signal at opposed interaction of electromagnetic waves AIP Conf.Time reversal mirrors work perfectly only for lossless wave propagation; dissipation destroys time-reversal invariance and limits the performance of time-reversal mirrors. Here, a new measure of time-reversal mirror performance is introduced and the adverse effect of dissipation on this performance measure is investigated. The technique of exponential amplification is employed to partially overcome the effect of non-uniform loss distributions, and its success is tested quantitatively using the new performance measure. A numerical model of a star graph is employed to test the applicability of this technique on realizations with various random spatial distributions of loss. A subset of the numerical results are also verified by experimental results from an electromagnetic time-reversal mirror. The exponential amplification technique is a simple way to improve the performance of emerging technologies based on time-reversed wave propagation such as directed communication and wireless power transfer. C 2014 Author(s). All article content, except where otherwise noted, is licensed under a Creative Commons Attribution 3.0 Unported License.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

“…II, the theory supporting the exponential amplification technique, first discussed in Ref. 15, is summarized. A measure of the performance of TR mirrors, which was not discussed in Ref.…”

Section: Introductionmentioning

confidence: 99%

“…A measure of the performance of TR mirrors, which was not discussed in Ref. 15, is also defined in Sec. II.…”

Section: Introductionmentioning

confidence: 99%

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The effects of non-uniform loss on time reversal mirrors

et al. 2014

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Iterative time reversal with tunable convergence

et al. 2011

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An iterative technique for improving the temporal focusing of a time reversal mirror is proposed and tested. A single amplification parameter is introduced to tune the convergence of the iteration. The tunable iterative technique has been validated by tests on an experimental electromagnetic time reversal mirror, as well as on a novel numerical model.Introduction: Spatiotemporal focusing of waves has applications in fields such as imaging and communication. Time reversal (TR) mirrors have been used to focus waves in both space and time [1]. An ideal TR mirror consists of a wave source located inside a lossless medium that is completely enclosed by a surface of transceivers, which record and absorb the signal initially broadcast by the source. Later, the transceivers rebroadcast a time reversed version of the recorded waves and, because of the TR invariance of the lossless wave equation, the waves focus on the location of the source and reconstruct a time reversed version of the original signal. In practice, TR mirrors have several limitations that result in loss of information about the waves broadcast by the source; these include (i) limited coverage by the transceivers, and (ii) dissipation during the wave propagation (which breaks TR invariance) [2, 3].The first limitation of TR mirrors can be overcome by the use of a reflecting wave chaotic cavity with partial spatial coverage of the transceivers, along with a long recording time [3]. However, the limitation due to dissipation persists, and leads to increasing loss of information as the recording time increases. The loss of information during the reconstruction results in temporal and spatial sidelobes of the reconstructed pulse. In previous work, we used the compensating technique of exponential-in-time amplification of the rebroadcasted time-reversed signal to partially undo the adverse effects of dissipation, and to enhance the range of sensors which utilise TR mirrors [2,4]. However, this technique does not improve the temporal focusing of the reconstructed pulse. On the other hand, [5] has introduced an iterative TR technique which has been shown to be effective in eliminating the spatiotemporal sidelobes of the reconstructed pulse.The iterative technique can be useful in applications in which TR mirrors could benefit from enhanced focusing [6]. In this Letter, we introduce into the iteration method an amplification parameter to compensate for dissipation. By tuning this parameter, we can substantially improve the accuracy and convergence of the iterative focusing technique. This is demonstrated both experimentally and numerically.

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