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Unidirectional nonreciprocal transport is at the heart of many fundamental problems and applications in both science and technology. Here we study the novel design of wave diode devices by engineering asymmetric shapes of nonlinear…

Mesoscale and Nanoscale Physics · Physics 2015-09-10 Nianbei Li , Jie Ren

We study longitudinal and transverse wave propagation in beams with elastic properties that are periodically varying in space and time. Spatiotemporal modulation of the elastic properties breaks mechanical reciprocity and induces one-way…

Materials Science · Physics 2016-09-21 Giuseppe Trainiti , Massimo Ruzzene

We report experiments on gravity-capillary wave turbulence on the surface of a fluid. The wave amplitudes are measured simultaneously in time and space using an optical method. The full space-time power spectrum shows that the wave energy…

Fluid Dynamics · Physics 2010-10-01 Eric Herbert , Nicolas Mordant , Eric Falcon

A one-dimensional wave propagation through elastically asymmetric media is investigated. A class of metamaterials possessing an arbitrary elastic asymmetry is proposed. This asymmetry results in different wave speeds of tensile and…

Soft Condensed Matter · Physics 2021-01-26 Vladislav A. Yastrebov

We study the nonlinear wave dynamics of one-dimensional chains of polycatenated rings. These interlocked structures support amplitude-dependent nonlinear wave propagation driven by tensile activation and internal structural flexibility,…

Soft Condensed Matter · Physics 2026-05-25 Xiaoxiao Xiong , Reo Yanagi , Tingtao Zhou , Chiara Daraio

Nonlinear waves are a robust phenomenon observed in complex systems ranging from mechanics to ecology. Fronts are fundamental due to their robustness against perturbations and capacity to propagate one state over another. Controlling and…

Pattern Formation and Solitons · Physics 2026-04-14 David Pinto-Ramos

We study scattering of a periodic wave in a string on two lumped oscillators attached to it. The equations can be represented as a driven (by the incident wave) dissipative (due to radiation losses) system of delay differential equations of…

Chaotic Dynamics · Physics 2014-10-30 Stefano Lepri , Arkady Pikovsky

The analysis of nonlinear wave equations has experienced a dramatic growth in the last ten years or so. The key factor in this has been the transition from linear analysis, first to the study of bilinear and multilinear wave interactions,…

Analysis of PDEs · Mathematics 2007-05-23 Daniel Tataru

Nonreciprocal optical devices have broad applications in light manipulations for communications and sensing. Non-magnetic mechanisms of optical nonreciprocity are highly desired for high-frequency on-chip applications. Here, we investigate…

Optics · Physics 2022-07-19 Zheng Yang , Yuqiong Cheng , Neng Wang , Yuntian Chen , Shubo Wang

Numerical simulations of the scattering of a linear plane wave incoming onto a nonlinear medium (sine-Gordon) reveals that: i) nonlinearity allows energy transmission in the forbidden band, ii) this nonlinear transmission occurs beyond an…

Pattern Formation and Solitons · Physics 2009-11-07 J-G. Caputo , J. Leon , A. Spire

Physical systems with material properties modulated in time provide versatile routes for designing magnetless nonreciprocal devices. Traditionally, nonreciprocity in such systems is achieved exploiting both temporal and spatial modulations,…

We explore nonreciprocal vibration transmission in a nonlinear periodic waveguide. Nonlinearity and asymmetry, the two necessary requirements for nonreciprocity, are both introduced within the unit cell of the periodic waveguide. We focus…

Pattern Formation and Solitons · Physics 2025-10-20 Ali Kogani , Behrooz Yousefzadeh

Negative refraction is a peculiar wave propagation phenomenon that occurs when a wave crosses a boundary between a regular medium and a medium with both constitutive parameters negative at the given frequency. The phase and group velocities…

Optics · Physics 2022-09-23 Or Lasri , Lea Sirota

Two common concepts of nonreciprocity in sound propagation are based on nonlinear effects [1, 2] and on local circulation of fluid [3, 4]. They originate from two known methods of breaking a time reversal symmetry, that is necessary for…

Fluid Dynamics · Physics 2018-05-23 E. Walker , A. Neogi , A. Bozhko , J. Arriaga , Hyeonu Hu , Jaeyung Ju , A. A. Krokhin

We consider the coupled electromagnetic waves propagating in a waveguide array, which consists of alternating waveguides of positive and negative refraction indexes. Due to zigzag configuration there are interactions between both nearest…

Optics · Physics 2013-05-01 Elena V. Kazantseva , Andrey I. Maimistov

The extent to which non-reciprocal waves can be guided in arbitrary directions is an interesting question. We address one aspect of this problem by studying the propagation of acoustic spin waves in a narrow physical conduit made of a…

Materials Science · Physics 2025-05-13 Jean-Paul Adam , Nathalie Bardou , Aurélie Solignac , Joo-Von Kim , Thibaut Devolder

The wave propagation problem on a taut cable resting on a bilinear substrate is investigated, without and with a distribute transversal load. The piecewise nature of the problem offers a sufficiently simple kind of nonlinearity as to permit…

Mathematical Physics · Physics 2022-03-17 Lucio Demeio , Stefano Lenci

Using the very basic physics principles, we have studied the implications of quantum corrections to classical electrodynamics and the propagation of electromagnetic waves and pulses. The initial nonlinear wave equation for the…

Plasma Physics · Physics 2023-05-30 Stephan I. Tzenov , Klaus M. Spohr , Kazuo A. Tanaka

Acoustic non-reciprocity has been shown to enable a plethora of effects analogous to phenomena seen in quantum physics and electromagnetics, such as immunity from back-scattering and unidirectional band gaps, which could lead to the design…

Pattern Formation and Solitons · Physics 2019-01-23 Samuel P. Wallen , Michael R. Haberman

Reciprocity is a fundamental principle governing various physical systems, which ensures that the transfer function between any two points in space is identical, regardless of geometrical or material asymmetries. Breaking this transmission…

Classical Physics · Physics 2017-04-12 Corentin Coulais , Dimitrios Sounas , Andrea Alù