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Both metaphysical and practical considerations related to time inversion have intrigued scientists for generations. Physicists have strived to devise and implement time-inversion protocols, in particular different forms of "time mirrors"…

Mesoscale and Nanoscale Physics · Physics 2018-01-10 Phillipp Reck , Cosimo Gorini , Arseni Goussev , Viktor Krueckl , Mathias Fink , Klaus Richter

Motivated by recent experiments, the theoretical study of wave propagation in time varying materials is of current interest. Although significant in nearly all such experiments, material dispersion is commonly neglected in theoretical…

Optics · Physics 2025-11-25 Bryce Dixon , Calvin M. Hooper , Ian R. Hooper , Simon A. R. Horsley

Time-reflection occurs when a wave is propagating in a medium undergoing a large and abrupt change in its properties: the original wave splits into a time-refracted wave and a time-reflected wave, each displaying different features. The…

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…

Optics · Physics 2015-05-13 Albert C. Fannjiang

Dynamic modulation of material properties in space and time enables powerful control over wave propagation, yet existing theories largely rely on idealized, nondispersive models. In realistic media, frequency dispersion can strongly reshape…

Optics · Physics 2026-04-02 Klaas De Kinder , Christophe Caloz

Time reflection and refraction are temporal analogies of the spatial boundary effects derived from Fermat's principle. They occur when classical waves strike a time boundary where an abrupt change in the properties of the medium is…

Quantum Gases · Physics 2023-09-20 Zhaoli Dong , Hang Li , Tuo Wan , Qian Liang , Zhaoju Yang , Bo Yan

We find a new set of exact solutions to Maxwell's equations in space--time varying materials, where the refractive index is constant, while the impedance exhibits effective motion, i.e. it is a function of $x-vt$. We find that waves…

Optics · Physics 2024-04-16 Mingjie Li , S. A. R. Horsley

The time-reversal mirror (TRM) of acoustic waves is used as a focusing technique that is robust against disorder and chaos. The propagation of an ultrasonic pulse from the focal point is detected and recorded by a surrounding array of…

Mesoscale and Nanoscale Physics · Physics 2008-04-16 Hernan L. Calvo , Horacio M. Pastawski

Electrostatic gating and optical pumping schemes enable efficient time modulation of graphene's free carrier density, or Drude weight. We develop a theory for plasmon propagation in graphene under temporal modulation. When the modulation is…

Mesoscale and Nanoscale Physics · Physics 2018-09-12 Josh Wilson , Fadil Santosa , Misun Min , Tony Low

In this paper, we investigate the scattering of surface waves on reactive impedance boundaries when the surface impedance undergoes a sudden change in time. We report three exotic wave phenomena. First, it is shown that by switching the…

Applied Physics · Physics 2022-08-04 Xuchen Wang , Mohammad Sajjad Mirmoosa , Sergei A. Tretyakov

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…

Quantum Physics · Physics 2018-05-28 Phillipp Reck , Cosimo Gorini , Arseni Goussev , Viktor Krueckl , Mathias Fink , Klaus Richter

The recent surge of interest in temporal modulation schemes to induce magnet-free non-reciprocity has inspired several exciting opportunities for photonic technology. Here, we investigate a scheme to realize free-space isolators and highly…

Optics · Physics 2018-03-14 Romain Fleury , Dimitrios L. Sounas , Andrea Alu

We investigate the properties of time reversibility of a soliton gas, originating from a dispersive regularization of a shock wave, as it propagates in a strongly disordered environment. An original approach combining information measures…

Pattern Formation and Solitons · Physics 2015-05-27 A. Fratalocchi , A. Armaroli , S. Trillo

Metasurfaces consisting of electrically thin and densely packed planar arrays of subwavelength elements enable an unprecedented control of the impinging electromagnetic fields. Spatially modulated metasurfaces can efficiently tailor the…

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

Wave reflection and refraction at a time interface follow different conservation laws compared to conventional scattering at a spatial interface. This study presents the experimental demonstration of refraction and reflection of flexural…

In this paper, we consider inverse time-harmonic acoustic and electromagnetic scattering from locally perturbed rough surfaces in three dimensions. The scattering interface is supposed to be the graph of a Lipschitz continuous function with…

Analysis of PDEs · Mathematics 2018-12-24 Yu Zhao , Guanghui Hu , Baoqiang Yan

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…

Electromagnetic wave control using the concept of a reflecting surface is first studied as a near-field and a far-field problem. Using a secondary source present in a wireless communication environment, such as a backscatter tag, it is…

Signal Processing · Electrical Eng. & Systems 2020-06-24 Okan Yurduseven , Stylianos D. Assimonis , Michail Matthaiou

We explore the effects of incorporating negative index materials into the physics of time-varying media and find that changing the refractive index from positive to negative creates a perfect time-reversed wave: a perfect time-domain lens.…

Optics · Physics 2025-12-04 Oded Schiller , Yonatan Plotnik , Guy Bartal , Mordechai Segev