Nonlinear time reversal in a wave chaotic system.

Phys Rev Lett

Department of Physics, University of Maryland, College Park, Maryland 20742-4111, USA.

Published: February 2013

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. Here we demonstrate the implementation of an electromagnetic time-reversal mirror in a wave chaotic system containing a discrete nonlinearity. We demonstrate that the time-reversed nonlinear excitations reconstruct exclusively upon the source of the nonlinearity. As an example of its utility, we demonstrate a new form of secure communication and point out other applications.

Download full-text PDF

Source
http://dx.doi.org/10.1103/PhysRevLett.110.063902DOI Listing

Publication Analysis

Top Keywords

wave chaotic
8
chaotic system
8
time-reversal mirror
8
nonlinear time
4
time reversal
4
reversal wave
4
system exploiting
4
exploiting time-reversal
4
time-reversal invariance
4
invariance reciprocal
4

Similar Publications

In this Letter, an integrated deceptive sensing and secure communication scheme based on random subcarrier (RSC) orthogonal frequency-division multiplexing (OFDM) in a photonics-assisted millimeter-wave (MMW) system is proposed. Based on chaotic encryption on bit and constellation level, the RSC-OFDM signal is used to further disturb the transmitting signal and achieve sensing deception. Moreover, to make full use of sensing function to achieve collaborative security, sensing-aided dynamic parameter (DP) encryption is designed, which uses sensing information as the random seed to get encryption DPs and sequences.

View Article and Find Full Text PDF

Many-body localization in the age of classical computing.

Rep Prog Phys

January 2025

Instytut Fizyki Teoretycznej, Wydział Fizyki, Astronomii i Informatyki Stosowanej, Uniwersytet Jagielloński, Łojasiewicza 11, PL-30-348 Kraków, Poland.

Article Synopsis
  • Statistical mechanics helps analyze large, complex systems with a few key parameters, but challenges arise in isolated quantum many-body systems when thermalization is hindered due to many-body localization (MBL).
  • Research shows that even in strongly disordered systems, there is an ongoing drift towards ergodicity, which complicates understanding the MBL phase.
  • The review emphasizes that while the dynamics slow down with increased disorder, it raises intriguing questions about why thermalization fails in disordered many-body systems, highlighting the need for more research in this area.
View Article and Find Full Text PDF

This study explores the Ivancevic Option Pricing Model, a nonlinear wave-based alternative to the Black-Scholes model, using adaptive nonlinear Schrödingerr equations to describe the option-pricing wave function influenced by stock price and time. Our focus is on a comprehensive analysis of this equation from multiple perspectives, including the study of soliton dynamics, chaotic patterns, wave structures, Poincaré maps, bifurcation diagrams, multistability, Lyapunov exponents, and an in-depth evaluation of the model's sensitivity. To begin, a wave transformation is applied to convert the partial differential equation into an ordinary differential equation, from which soliton solutions are derived using the [Formula: see text] method.

View Article and Find Full Text PDF

Life-threatening cardiac arrhythmias such as ventricular fibrillation are often based on chaotic spiral or scroll wave dynamics which can be self-terminating. In this work, we investigate the influence of conduction heterogeneities on the duration of such chaotic transients in generic models of excitable cardiac media. We observe that low and medium densities of heterogeneities extend the average transient lifetime, while at high densities very long transients, potentially persistent chaos, and periodic attractors occur.

View Article and Find Full Text PDF

Iono-Magnonic Reservoir Computing With Chaotic Spin Wave Interference Manipulated by Ion-Gating.

Adv Sci (Weinh)

January 2025

Research Center for Materials Nanoarchitectonics (MANA), National Institute for Materials Science, 1-1 Namiki, Tsukuba, Ibaraki, 305-0044, Japan.

Physical reservoirs are a promising approach for realizing high-performance artificial intelligence devices utilizing physical devices. Although nonlinear interfered spin-wave multi-detection exhibits high nonlinearity and the ability to map in high dimensional feature space, it does not have sufficient performance to process time-series data precisely. Herein, development of an iono-magnonic reservoir by combining such interfered spin wave multi-detection and ion-gating involving protonation-induced redox reaction triggered by the application of voltage is reported.

View Article and Find Full Text PDF

Want AI Summaries of new PubMed Abstracts delivered to your In-box?

Enter search terms and have AI summaries delivered each week - change queries or unsubscribe any time!