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Related papers: Exceptional Points, Lasing, and Coherent Perfect A…

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Non-Hermitian systems have recently shown new possibilities to manipulate wave scattering by exploiting loss, yet coherent perfect absorption at an exceptional point (CPA EP) remains elusive in acoustics. Here we demonstrate it based on a…

Applied Physics · Physics 2025-06-06 Yi-Fei Xia , Zi-Xiang Xu , Yu-Ting Yan , An Chen , Jing Yang , Bin Liang , Jian-Chun Cheng , Johan Christensen

Our aim in this paper is twofold. Firstly, we develop a new asymptotic theory for Floquet exponents. We consider a linear system of differential equations with a time-periodic coefficient matrix. Assuming that the coefficient matrix depends…

Analysis of PDEs · Mathematics 2021-10-18 Habib Ammari , Erik Orvehed Hiltunen , Thea Kosche

We present here how a coherent perfect absorber-laser (CPAL) enabled by parity-time ($\mathcal{PT}$)-symmetry breaking may be exploited to build monochromatic amplifying devices for flexural waves. The fourth order partial differential…

Classical Physics · Physics 2021-04-14 M. Farhat , P. Y. Chen , S. Guenneau , Y. Wu

The public and scientists constantly have different perspectives. While on a time crystal, they stand in line and ask: What is a time crystal? Show me a material that is spontaneously crystalline in time? This study synthesizes a photonic…

Quantum Physics · Physics 2022-07-15 Bing Wang , Jiaqi Quan , Jianfei Han , Xiaopeng Shen , Hongwei Wu , Yiming Pan

A class of above-barrier quantum-scattering problems is shown to provide an experimentally-accessible platform for studying $\mathcal{PT}$-symmetric Schr\"odinger equations that exhibit spontaneous $\mathcal{PT}$ symmetry breaking despite…

Quantum Physics · Physics 2023-09-12 Micheline B. Soley , Carl M. Bender , A. Douglas Stone

Non-Hermitian wave engineering has attracted a surge of interest in photonics in recent years. One of the prominent phenomena is coherent perfect absorption (CPA), in which the annihilation of electromagnetic scattering occurs by…

The perfectly matched layers method is a well known truncation technique for its efficiency and convenience in numerical implementations of wave scattering problems in unbounded domains. In this paper, we study the convergence of the…

Numerical Analysis · Mathematics 2024-01-02 Andreas Kirsch , Ruming Zhang

Linear mechanical systems with time-modulated parameters can harbor oscillations with amplitudes that grow or decay exponentially with time due to the phenomenon of parametric resonance. While the resonance properties of individual…

Classical Physics · Physics 2024-08-06 Abhijeet Melkani , Jayson Paulose

Photonic Time Crystals (PTCs) provide a completely new platform exhibiting light wave amplification owing to periodically varying electromagnetic properties. The need to control this amplification is becoming increasingly important,…

Optics · Physics 2023-04-20 Snehashis Sadhukhan , Somnath Ghosh

We identify a new kind of physically realizable exceptional point (EP) corresponding to degenerate coherent perfect absorption, in which two purely incoming solutions of the wave operator for electromagnetic or acoustic waves coalesce to a…

Optics · Physics 2019-03-12 William R. Sweeney , Chia Wei Hsu , Stefan Rotter , A. Douglas Stone

Periodic surface structures are nowadays standard building blocks of optical devices. If such structures are illuminated by aperiodic time-harmonic incident waves as, e.g., Gaussian beams, the resulting surface scattering problem must be…

Numerical Analysis · Mathematics 2016-05-05 Armin Lechleiter , Ruming Zhang

We study the $\mathcal{PT} $-symmetry breaking for the scattering problem in a one-dimensional (1D) non-Hermitian tight-binding lattice model with balanced gain and loss distributed on two adjacent sites. In the scattering process the…

Quantum Physics · Physics 2016-03-30 Baogang Zhu , Rong Lü , Shu Chen

We report an optically modulated experimental realization of a photonic time crystal (PTC) in the microwave regime, demonstrating for the first time that the PTC exponential growth can overcome losses and finite-size constraints of a…

A rigorous semi-analytical Floquet analysis is proposed for a zero-thickness space-time modulated Huygens' metasurface to model and determine the strengths of the new harmonic components of the scattered fields. The proposed method is based…

Optics · Physics 2021-11-10 Ville Tiukuvaara , Tom J. Smy , Shulabh Gupta

Space-time modulation induced non-reciprocity in EM metasurfaces is proposed and numerically demonstrated using rigorous Generalized Sheet Transitions Conditions (GSTCs) under oblique plane-wave incidence. It is phenomenologically shown…

Optics · Physics 2017-04-03 Shulabh Gupta , Scott. A. Stewart , Tom J. Smy

Optical systems that respect Parity-Time (PT) symmetry can be realized with proper incorporation of gain/loss materials. However, due to the absence of magnetic response at optical frequencies, the wave impedance is defined entirely by…

Similar to static systems, periodically driven systems can host a variety of topologically non-trivial phases. Unlike the case of static Hamiltonians, the topological indices of bulk Floquet bands may fail to describe the presence and…

Mesoscale and Nanoscale Physics · Physics 2016-02-03 I. C. Fulga , M. Maksymenko

Photonic time crystals (PhTCs) are spatially uniform media whose material parameters vary periodically in time, opening momentum bandgaps within which the fields of electromagnetic modes can grow exponentially in time. To date, PhTCs have…

Spatially periodic elastic metamaterials, comprising hard inclusions within a soft matrix in $d$-dimensional space ($d\geq 2$), exhibit a rich spectrum of physical phenomena. This paper investigates such a model and presents the following…

Analysis of PDEs · Mathematics 2025-09-09 Yixian Gao , Shuguan Ji , Shangling Song

Two microring resonators, one with gain and one with loss, coupled to each other and to a bus waveguide, create an effective non-Hermitian potential for light propagating in the waveguide. Due to geometry, coupling for each microring…

Optics · Physics 2019-04-10 Vladimir V. Konotop , Barry C. Sanders , Dmitry A. Zezyulin