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Spatially localized oscillations in periodically forced systems are intriguing phenomena. They may occur in spatially homogeneous media (oscillons), but quite often emerge in heterogeneous media, such as the auditory system, where localized…

Pattern Formation and Solitons · Physics 2020-04-21 Yuval Edri , Ehud Meron , Arik Yochelis

Efficient energy transfer often occurs between oscillation modes in a resonator when they are tuned to internal resonance. We design the eigenfrequencies of two vibrational modes of an electromechanical resonator to be close to a ratio of…

Mesoscale and Nanoscale Physics · Physics 2022-09-21 Yingming Yan , X. Dong , L. Huang , K. Moskovtsev , H. B. Chan

Time-reversal symmetry enables shaping input waves to control output waves in many linear and nonlinear systems; however energy dissipation violates such symmetry. We consider a saturated multimode fiber amplifier in which light generates…

Optics · Physics 2024-02-19 Chun-Wei Chen , Kabish Wisal , Mathias Fink , A. Douglas Stone , Hui Cao

In this paper we study the dynamics of metamaterials composed of high-contrast subwavelength resonators and show the existence of localised modes in such a setting. A crucial assumption in this paper is time-modulated material parameters.…

Analysis of PDEs · Mathematics 2025-01-13 Habib Ammari , Erik Orvehed Hiltunen , Liora Rueff

Many nonlinear systems are described by eigenmodes with amplitude-dependent frequencies, interacting strongly whenever the frequencies become commensurate at internal resonances. Fast energy exchange via the resonances holds the key to rich…

Chaotic Dynamics · Physics 2022-12-07 Mingkang Wang , Diego J. Perez-Morelo , Daniel Lopez , Vladimir A. Aksyuk

Space-time modulated metamaterials support extraordinary rich applications, such as parametric amplification, frequency conversion and non-reciprocal transmission. However, experimental realization of space-time modulation is highly…

Applied Physics · Physics 2022-01-13 Xinhua Wen , Xinghong Zhu , Alvin Fan , Wing Yim Tam , Jie Zhu , Fabrice Lemoult , Mathias Fink , Jensen Li

The amplitude of resonant oscillations in a non-Hermitian environment can either decay or grow in time, corresponding to a mode with either loss or gain. When two coupled modes have a specific difference between their loss or gain, a…

Classical Physics · Physics 2025-11-07 N. J. Lambert , A. Schumer , J. J. Longdell , S. Rotter , H. G. L. Schwefel

One of the key features of lasers operating near exceptional points (EPs) is that the gain medium can support an oscillating population inversion above a pump threshold, leading to self-modulated laser dynamics. This unusual behavior opens…

Optics · Physics 2024-12-17 Hao He , Xingwei Gao , Alexander Cerjan , Chia Wei Hsu

Metamaterials and metasurfaces are designed by periodically arranged subwavelength geometries, allowing a tailored manipulation of the electromagnetic response of matter. Here, we exploit temporal variations of permittivity inside…

Optics · Physics 2025-09-24 Victor Pacheco-Peña , Nader Engheta

In this work, we propose a deep beamforming framework for speech enhancement in dynamic acoustic environments. The framework learns time-varying beamformer weights from noisy multichannel signals via a deep neural network, guided by a…

Audio and Speech Processing · Electrical Eng. & Systems 2026-02-18 Ilai Zaidel , Sharon Gannot

A one dimensional, parity-time (${\cal PT}$)-symmetric magnetic metamaterial comprising split-ring resonators having both gain and loss is investigated. In the linear regime, the transition from the exact to the broken ${\cal PT}$-phase is…

Pattern Formation and Solitons · Physics 2014-11-25 G. P. Tsironis , N. Lazarides

In recent years a significant progress has been made in the development of magnet-less nonreciprocity using space-time modulation, both in electromagnetics and acoustics. This approach has so far resulted in a plethora of non-reciprocal…

Applied Physics · Physics 2019-06-18 Yakir Hadad , Dimitrios Sounas

Non-Hermitian photonics based on combining loss and gain media within a single optical system provides a number of approaches to control and generate the flow of light. In this paper, we show that by introducing non-Hermitian perturbation…

Optics · Physics 2022-11-03 Anton V. Hlushchenko , Denis V. Novitsky , Vladimir R. Tuz

We introduce a system based on dual-core nonlinear waveguides with the balanced gain and loss acting separately in the cores. The system features a "supersymmetry" when the gain and loss are equal to the inter-core coupling. This system…

Optics · Physics 2015-05-30 R. Driben , B. A. Malomed

Confining sound is of significant importance for the manipulation and routing acoustic waves. We propose a Helmholtz resonator (HR) based subwavelength sound channel formed at the interface of two metamaterials, for this purpose. The…

Applied Physics · Physics 2021-03-31 Yun Zhou , Prabhakar R. Bandaru , Daniel F. Sievenpiper

We derive time reflection and transmission coefficients for 1D acoustic waves encountering a time boundary at which the properties of the medium change instantaneously. The time reflection and transmission coefficients are shown to be…

In recent years, metamaterials have gained considerable attention as a promising material technology due to their unique properties and customizable design, distinguishing them from traditional materials. This article delves into the value…

Applied Physics · Physics 2024-04-09 Sichao Qu , Min Yang , Yunfei Xu , Songwen Xiao , Nicholas X. Fang

We propose a tunable acoustic metasurface consisting of identical units. And units are rotatable anisotropic three-component resonators, which can induce the non-degenerate dipolar resonance, causing an evident phase change in low…

Applied Physics · Physics 2024-09-20 Pan Li , Yunfan Chang , Qiujiao Du , Zhihong Xu , Meiyu Liu , Pai Peng

Non-Hermiticity has recently emerged as a rapidly developing field due to its exotic characteristics related to open systems, where the dissipation plays a critical role. In the presence of balanced energy gain and loss with environment,…

Optics · Physics 2024-04-10 Chang Li , Ruisheng Yang , Xinchao Huang , Quanhong Fu , Yuancheng Fan , Fuli Zhang

Time modulation can cause gain and loss in photonic media, leading to complex modal behaviors and enhanced wave controllability in the non-Hermitian regime. Conversely, we reveal that Hermiticity and parity-time $\mathcal{PT}$-symmetry…

Optics · Physics 2025-07-08 Rui-Chuan Zhang , Shu Yang , Yixin Sha , Zetao Xie , Yi Yang