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Related papers: Non-reciprocal wave phenomena in spring-mass chain…

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Time modulation of the physical parameters offers interesting new possibilities for wave control. Examples include amplification of waves, harmonic generation and non-reciprocity, without resorting to non-linear mechanisms. Most of the…

Mathematical Physics · Physics 2025-07-25 Michaël Darche , Raphaël Assier , Sébastien Guenneau , Bruno Lombard , Marie Touboul

We report on broadband-to-narrowband elastic wave filtering resulting from time-periodic modulation of the stiffness of a one-dimensional elastic waveguide. Time modulation produces flat dispersion bands at frequencies that are multiple…

Applied Physics · Physics 2019-04-03 Giuseppe Trainiti , Yiwei Xia , Jacopo Marconi , Alper Erturk , Massimo Ruzzene

We demonstrate that ultrafast nonlinear dynamics gives rise to reciprocity breaking in a random photonic medium. Reciprocity breaking is observed via the suppression of coherent backscattering, a manifestation of weak localization of light.…

Mesoscale and Nanoscale Physics · Physics 2012-07-31 Otto L. Muskens , Paul Venn , Timmo van der Beek , Thomas Wellens

The study of nonreciprocal wave propagation is of great interests for both fundamental research and engineering applications. Here we demonstrate theoretically and experimentally a bidirectional, nonreciprocal, and high-quality diode that…

Applied Physics · Physics 2021-05-19 Xin Fang , Jihong Wen , Li Cheng , Baowen Li

We consider wave propagation through a 1D periodic network of slowly time-modulated interfaces. Each interface is modelled by time-dependent spring-mass jump conditions, where mass and rigidity interface parameters are modulated in time.…

Mathematical Physics · Physics 2026-03-31 Michaël Darche , Raphaël Assier , Sébastien Guenneau , Bruno Lombard , Marie Touboul

The homogenization procedure developed here is conducted on a laminate with periodic space-time modulation on the fine scale: at leading order, this modulation creates convection in the low-wavelength regime if both parameters are…

Analysis of PDEs · Mathematics 2024-07-12 Marie Touboul , Bruno Lombard , Raphaël Assier , Sébastien Guenneau , Richard Craster

Longitudinal wave propagation is considered in a pair of waveguides connected by bilinear spring systems. The nature of the nonlinearity causes the compressive and tensile force-displacement relations of the bilinear spring to behave in a…

Pattern Formation and Solitons · Physics 2020-12-02 Zhaocheng Lu , Andrew N. Norris

Synthetic magnetism has been recently realized using spatiotemporal modulation patterns, producing non-reciprocal steering of charge-neutral particles such as photons and phonons. Here, we design and experimentally demonstrate a…

Applied Physics · Physics 2022-10-03 Zhaoxian Chen , Zhengwei Li , Jingkai Weng , Bin Liang , Yanqing Lu , Jianchun Cheng , Andrea Alu

We study the propagation of small amplitude waves superimposed on a large static deformation in a nonlinear viscoelastic material of differential type. We use bulk waves and surface waves to address the questions of dissipation and of…

Biological Physics · Physics 2008-12-09 Michel Destrade , Ray W. Ogden , Giuseppe Saccomandi

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

Nonlinear elastic metamaterials are known to support a variety of dynamic phenomena that enhance our capacity to manipulate elastic waves. Since these properties stem from complex, subwavelength geometry, full-scale dynamic simulations are…

Applied Physics · Physics 2024-07-31 Samuel P. Wallen , Michael R. Haberman , Washington DeLima

We uncover subtle and previously unexplored phenomena arising from the interplay of nonlinearity and nonreciprocity in topological mechanical metamaterials. We study a nonreciprocal topological Klein-Gordon chain of asymmetrically coupled…

Disordered Systems and Neural Networks · Physics 2026-02-10 Bertin Many Manda , Vassos Achilleos

Asymmetric propagation of acoustic waves is theoretically reported in a chirped phononic crystal made of the combination of two different nonlinear solids. The dispersion of the system is spatially dependent and allows the rainbow trapping…

Granular materials exhibit a strongly nonlinear behaviour affecting the propagation of information in the medium. Dynamically self-organized strongly nonlinear solitary waves are the main information carriers in granular chains. Here we…

Soft Condensed Matter · Physics 2009-11-11 V. F. Nesterenko , C. Daraio , E. B. Herbold , S. Jin

Achieving non-reciprocity and building nonreciprocal components through spatio-temporal modulation of material properties has attracted a lot of attention in the recent past as an alternative to the more traditional approach of exploiting…

Applied Physics · Physics 2018-10-31 Negar Reiskarimian , Aravind Nagulu , Tolga Dinc , Harish Krishnaswamy

We report on the demonstration of an effective, nonlinearity-induced non-reciprocal behavior in a single non-magnetic multi-mode Taiji resonator. Non-reciprocity is achieved by a combination of an intensity-dependent refractive index and of…

Unidirectional wave propagation has emerged as a key concept in the dynamics of non-reciprocal mechanical and acoustic metamaterials. This work investigates two fundamentally distinct strategies for achieving directional wave propagation in…

Applied Physics · Physics 2026-05-29 João H. S. Brandão , Danilo Braghini , José R. F. Arruda

We present a novel approach to achieve adaptable band structures and non-reciprocal wave propagation by exploring and exploiting the concept of metastable modular metastructures. Through studying the dynamics of wave propagation in a chain…

Applied Physics · Physics 2018-02-14 Z. Wu , Y. Zheng , K. W. Wang

In this letter, we provide an experimental demonstration of amplitude-dependent dispersion tuning of surface acoustic waves interacting with nonlinear resonators. Leveraging the similarity between the dispersion properties of plate edge…

Applied Physics · Physics 2023-09-06 Setare Hajarolasvadi , Paolo Celli , Brian L. Kim , Ahmed E. Elbanna , Chiara Daraio

Discrete materials composed of masses connected by strongly nonlinear links with anomalous behavior (reduction of elastic modulus with strain) have very interesting wave dynamics. Such links may be composed of materials exhibiting…

Soft Condensed Matter · Physics 2010-08-26 Eric B Herbold , Vitali F Nesterenko