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Related papers: Time Reversal for Waves in Random Media

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We propose a mathematical theory for the refocusing properties observed in time-reversal experiments, where classical waves propagate through a medium, are recorded in time, then time-reversed and sent back into the medium. The salient…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Guillaume Bal , Leonid Ryzhik

When a signal is emitted from a source, recorded by an array of transducers, time reversed and re-emitted into the medium, it will refocus approximately on the source location. We analyze the refocusing resolution in a high frequency,…

Disordered Systems and Neural Networks · Physics 2007-05-23 George Papanicolaou , Leonid Ryzhik , Knut Solna

We analyze the refocusing properties of time reversed waves that propagate in two different media during the forward and backward stages of a time-reversal experiment. We consider two regimes of wave propagation modeled by the paraxial wave…

Disordered Systems and Neural Networks · Physics 2007-05-23 Guillaume Bal , Lenya Ryzhik

Time reversal mirrors have been successfully implemented for various kinds of waves propagating in complex media. In particular, acoustic waves in chaotic cavities exhibit a refocalization that is extremely robust against external…

Mesoscale and Nanoscale Physics · Physics 2008-12-17 Hernan L. Calvo , Rodolfo A. Jalabert , Horacio M. Pastawski

Time-reversal symmetry allows waves to retrace their paths through complex media and refocus at their origin. However, incomplete capture and reversal of scattered waves often limits pulse recompression. We address this challenge for…

The time reversal symmetry of the wave equation allows wave refocusing back at the source. However, this symmetry does not hold in lossy media. We present a new strategy to compensate wave amplitude losses due to attenuation. The strategy…

Classical Physics · Physics 2022-12-15 Crystal T. Wu , Nuno M. Nobre , Emmanuel Fort , Graham D. Riley , Fumie Costen

In this paper we analyze a time-reversal experiment in a random underwater acoustic channel. In this kind of waveguide with semi-infinite cross section a propagating field can be decomposed over three kinds of modes: the propagating modes,…

Analysis of PDEs · Mathematics 2012-01-26 Christophe Gomez

Wave control is usually performed by spatially engineering the properties of a medium. Because time and space play similar roles in wave propagation, manipulating time boundaries provides a complementary approach. Here, we experimentally…

Wavefield focusing is often achieved by Time-Reversal Mirrors, where wavefields emitted by a source located at the focal point are evaluated at a closed boundary and sent back, after Time-Reversal, into the medium from that boundary.…

Classical Physics · Physics 2025-09-12 Giovanni Angelo Meles , Joost van der Neut , Koen W. A. van Dongen , Kees Wapenaar

Exploiting the time-reversal invariance and reciprocal properties of the lossless wave equation enables elegantly simple solutions to complex wave-scattering problems, and is embodied in the time-reversal mirror. A time-reversal mirror…

Chaotic Dynamics · Physics 2013-02-12 Matthew Frazier , Biniyam Taddese , Thomas Antonsen , Steven M. Anlage

We consider time-reversal of electromagnetic waves in a closed, wave-chaotic system containing a discrete, passive, harmonic-generating nonlinearity. An experimental system is constructed as a time-reversal mirror, in which excitations…

Chaotic Dynamics · Physics 2013-12-20 Matthew Frazier , Biniyam Taddese , Bo Xiao , Thomas Antonsen , Edward Ott , Steven M. Anlage

When waves propagate through a complex or heterogeneous medium the wave field is corrupted by the heterogeneities. Such corruption limits the performance of imaging or communication schemes. One may then ask the question: is there an…

Analysis of PDEs · Mathematics 2016-08-02 Josselin Garnier , Knut Solna

Wireless communications in the terahertz band have been recently proposed as complement to conventional wired interconnects within computing packages. Such environments are typically highly reverberant, hence showing long channel impulse…

Time-reversal (TR) refocusing of waves is one of fundamental principles in wave physics. Using the TR approach, "Time-reversal mirrors" can physically create a time-reversed wave that exactly refocus back, in space and time, to its original…

Fluid Dynamics · Physics 2016-09-23 G. Ducrozet , M. Fink , A. Chabchoub

Thanks to a Multiple Scattering Theory algorithm, we present a way to focus energy at the deep subwavelength scale, from the far-field, inside a cubic disordered bubble cloud by using broadband Time Reversal (TR). We show that the…

Soft Condensed Matter · Physics 2015-10-26 Maxime Lanoy , Romain Pierrat , Fabrice Lemoult , Mathias Fink , Valentin Leroy , Arnaud Tourin

In this paper, we revisit one-channel time reversal (TR) experiments through multiple scattering media in the framework of the self-consistent multiple scattering theory. The hyper resolution and the self-averaging property are retrieved.…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Julien P De Rosny , Arnaud Tourin , Arnaud Derode , Bart Van Tiggelen , Mathias Fink

Negative refraction is a peculiar wave propagation phenomenon that occurs when a wave crosses a boundary between a regular medium and a medium with both constitutive parameters negative at the given frequency. The phase and group velocities…

Optics · Physics 2022-09-23 Or Lasri , Lea Sirota

Lossless linear wave propagation is symmetric in time, a principle which can be used to create time reversed waves. Such waves are special 'pre-scattered' spatiotemporal fields, which propagate through a complex medium as if observing a…

The advent of novel nonlinear materials has stirred unprecedented interest in exploring the use of temporal inhomogeneities to achieve novel forms of wave control, amidst the greater vision of engineering metamaterials across both space and…

Optics · Physics 2022-11-24 Emanuele Galiffi , Shixiong Yin , Andrea Alù

Thermo- and photo- acoustic tomography require reconstructing initial acoustic pressure in a body from time series of pressure measured on a surface surrounding the body. For the classical case of free space wave propagation, various…

Analysis of PDEs · Mathematics 2015-06-23 B. Holman , L. Kunyansky
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