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The time-reversal mirror (TRM) prescribes the reverse playback of a signal to focalize an acoustic excitation as a Loschmidt echo. In the quantum domain, the perfect inverse filter (PIF) processes this signal to ensure an exact reversion…

介观与纳米尺度物理 · 物理学 2015-05-18 Hernan L. Calvo , Horacio M. Pastawski

Time reversal of quantum dynamics can be achieved by a global change of the Hamiltonian sign (a hasty Loschmidt daemon), as in the Loschmidt Echo experiments in NMR, or by a local but persistent procedure (a stubborn daemon) as in the Time…

介观与纳米尺度物理 · 物理学 2009-11-13 Hernan L. Calvo , Ernesto P. Danieli , Horacio M. Pastawski

The reversion of the time evolution of a quantum state can be achieved by changing the sign of the Hamiltonian as in the polarization echo experiment in NMR. In this work we describe an alternative mechanism inspired by the acoustic time…

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…

经典物理 · 物理学 2022-12-15 Crystal T. Wu , Nuno M. Nobre , Emmanuel Fort , Graham D. Riley , Fumie Costen

An instantaneous time mirror (ITM) is an interesting approach to manipulate wave propagation from the time boundaries. In the time domain, the reversed wave is previously proven to be the temporal derivative of the original pattern. Here,…

经典物理 · 物理学 2020-08-19 Danming Peng , Yiyang Fan , Ruochen Liu , Xiasheng Guo , Sihui Wang

Time reversal of acoustic waves can be achieved efficiently by the persistent control of excitations in a finite region of the system. The procedure, called Time Reversal Mirror, is stable against the inhomogeneities of the medium and it…

介观与纳米尺度物理 · 物理学 2010-03-15 Hernán L. Calvo , Horacio M. Pastawski

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.…

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…

混沌动力学 · 物理学 2013-02-12 Matthew Frazier , Biniyam Taddese , Thomas Antonsen , Steven M. Anlage

We consider the inverse source problem arising in thermo- and photo-acoustic tomography. It consists in reconstructing the initial pressure from the boundary measurements of the acoustic wave. Our goal is to extend versatile time reversal…

偏微分方程分析 · 数学 2015-11-13 Linh V. Nguyen , Leonid Kunyansky

Phased array ultrasound is a widely used technique in non-destructive testing. Using piezoelectric elements as both sources and receivers provides a significant gain in information and enables more accurate defect detection. When all…

计算工程、金融与科学 · 计算机科学 2026-01-13 Tim Bürchner , Simon Schmid , Lukas Bergbreiter , Ernst Rank , Stefan Kollmannsberger , Christian U. Grosse

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…

偏微分方程分析 · 数学 2015-06-23 B. Holman , L. Kunyansky

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…

A quantum Loschmidt echo (also referred to as quantum time mirror) corresponds to an effective time inversion after which the quantum wave function reverses its previous time evolution and eventually reaches its initial distribution again.…

量子物理 · 物理学 2019-01-18 Nikodem Szpak , Ralf Schützhold

The concept of time reversal (TR) of scalar wave is reexamined from basic principles. Five different time reversal mirrors (TRM) are introduced and their relations are analyzed. For the boundary behavior, it is shown that for paraxial wave…

光学 · 物理学 2015-05-13 Albert C. Fannjiang

We demonstrate that the diffusion coefficient, $D$, for ultrasound propagating in a multiple scattering medium, such as a dense granular suspension, can be measured using a time reversal experiment. This requires an unprecedented…

软凝聚态物质 · 物理学 2025-02-27 Y. Abraham , B. A. van Tiggelen , N. Benech , C. Negreira , X. Jia , A. Tourin

Consider the inverse scattering of time-harmonic acoustic scattering by an infinite rough surface which is supposed to be a local perturbation of a plane. A novel version of reverse time migration (RTM) is proposed to reconstruct the shape…

偏微分方程分析 · 数学 2023-10-24 Jianliang Li , Hao Wu , Jiaqing Yang

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…

流体动力学 · 物理学 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…

软凝聚态物质 · 物理学 2015-10-26 Maxime Lanoy , Romain Pierrat , Fabrice Lemoult , Mathias Fink , Valentin Leroy , Arnaud Tourin

In 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…

混沌动力学 · 物理学 2007-05-23 Guillaume Bal , Leonid Ryzhik

We propose a method -- a quantum time mirror (QTM) -- for simulating a partial time-reversal of the free-space motion of a nonrelativistic quantum wave packet. The method is based on a short-time spatially-homogeneous perturbation to the…

量子物理 · 物理学 2018-05-28 Phillipp Reck , Cosimo Gorini , Arseni Goussev , Viktor Krueckl , Mathias Fink , Klaus Richter
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