Time Reversal for Waves in Random Media

dc.creatorBal, Guillaume
dc.creatorRyzhik, Leonid
dc.date2002-01-08
dc.date.accessioned2026-07-07T05:33:50Z
dc.date.available2026-07-07T05:33:50Z
dc.descriptionIn time reversal acoustics experiments, a signal is emitted from a localized source, recorded at an array of receivers-transducers, time reversed, and finally re-emitted into the medium. A celebrated feature of time reversal experiments is that the refocusing of the re-emitted signals at the location of the initial source is improved when the medium is heterogeneous. Contrary to intuition, multiple scattering enhances the spatial resolution of the refocused signal and allows one to beat the diffraction limit obtained in homogeneous media. This paper presents a quantitative explanation of time reversal and other more general refocusing phenomena for general classical waves in heterogeneous media. The theory is based on the asymptotic analysis of the Wigner transform of wave fields in the high frequency limit. Numerical experiments complement the theory.
dc.descriptionBetter quality figures are available at http://www.math.uchicago.edu/~ryzhik
dc.identifierhttps://arxiv.org/abs/nlin/0201011
dc.identifierhttp://arxiv.org/abs/nlin/0201011
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/80143
dc.subjectChaotic Dynamics
dc.subjectDisordered Systems and Neural Networks
dc.subjectAnalysis of PDEs
dc.titleTime Reversal for Waves in Random Media
dc.typetext

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