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Significant amplitude-independent and passive non-reciprocal wave motion can be achieved in a one dimensional (1D) discrete chain of masses and springs with bilinear elastic stiffness. Some fundamental asymmetric spatial modulations of the…

Computational Physics · Physics 2019-10-15 Zhaocheng Lu , Andrew N. Norris

Unilateral transmission refers to the scenario in which the waves transmitted through a system remain in pure tension or pure compression. This transmission phenomenon may occur in systems that exhibit different effective elasticity in…

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

We investigate elastic-wave propagation in a spatially-dispersive multilayered, totally passive metamaterial system. At oblique incidence a longitudinal (acoustic) wave can convert to transverse in the solid material comprising the layers,…

Applied Physics · Physics 2019-05-23 D. Psiachos , M. M. Sigalas

A mechanism for asymmetric (nonreciprocal) wave transmission is presented. As a reference system, we consider a layered nonlinear, non mirror-symmetric model described by the one-dimensional Discrete Nonlinear Schreodinger equation with…

Pattern Formation and Solitons · Physics 2012-04-12 Stefano Lepri , Giulio Casati

We consider asymmetric (nonreciprocal) wave transmission through a layered nonlinear, non mirror-symmetric system described by the one-dimensional Discrete Nonlinear Schr\"odinger equation with spatially varying coefficients embedded in an…

Pattern Formation and Solitons · Physics 2013-11-12 Stefano Lepri , Giulio Casati

Waveguides subject to spatiotemporal modulations are known to exhibit nonreciprocal vibration transmission, whereby interchanging the locations of the source and receiver change the end-to-end transmission characteristics. The scenario of…

Applied Physics · Physics 2025-10-20 Jiuda Wu , Behrooz Yousefzadeh

We present a mechanism to generate unidirectional pulse-shaped propagating waves, tamed to exponential growth and dispersion, in active systems with nonreciprocal and nonlinear couplings. In particular, when all bulk modes are exponentially…

Mesoscale and Nanoscale Physics · Physics 2026-05-25 Sayan Jana , Bertin Many Manda , Vassos Achilleos , Dimitrios J. Frantzeskakis , Lea Sirota

For sound waves impinging on a one-dimensional medium, we show that nonlinearity can lead to nonreciprocal transmission, without dissipation or broken time reversal invariance. Placing quasi-monochromatic filters at the ends of the…

Condensed Matter · Physics 2007-05-23 Onuttom Narayan , Abhishek Dhar

We systematically study linear and nonlinear wave propagation in a chain composed of piecewise-linear bistable springs. Such bistable systems are ideal testbeds for supporting nonlinear wave dynamical features including transition and…

Pattern Formation and Solitons · Physics 2021-12-01 Hiromi Yasuda , Efstathios G. Charalampidis , Prashant K. Purohit , Panayotis G. Kevrekidis , Jordan R. Raney

Nonreciprocal wave propagation allows for directional energy transport. In this work, we systematically investigate wave dynamics in an elastic lattice that combines nonreciprocal stiffness with viscous damping. After establishing how…

Applied Physics · Physics 2026-02-03 Harshit Kumar Sandhu , Saurav Dutta , Rajesh Chaunsali

To date, the influence of non-linear stratifications and two layer stratifications on internal wave propagation has been studied for two-dimensional wave fields in a cartesian geometry. Here, we use a novel wave generator configuration to…

Fluid Dynamics · Physics 2020-02-19 Samuel Boury , Philippe Odier , Thomas Peacock

Nonreciprocity means that the transmission of a signal depends on its direction of propagation. Despite vastly different platforms and underlying working principles, the realisations of nonreciprocal transport in linear, time-independent…

Mesoscale and Nanoscale Physics · Physics 2024-04-22 Clara C. Wanjura , Jesse J. Slim , Javier del Pino , Matteo Brunelli , Ewold Verhagen , Andreas Nunnenkamp

The ability to create linear systems that manifest broadband nonreciprocal wave propagation would provide for exquisite control over acoustic signals for electronic filtering in communication and noise control. Until now, acoustic…

Applied Physics · Physics 2020-08-26 Aritra Sasmal , Nathan Geib , Karl Grosh

The control of wave propagation, particularly the quest for unidirectional transport, plays an important role in photonics and metamaterial science. While nonreciprocity is known to enable unidirectional amplification and stabilize complex…

Pattern Formation and Solitons · Physics 2025-12-10 Wen-Rong Sun , Jesús Cuevas Maraver

The propagation of nonlinear waves in a lattice of repelling particles is studied theoretically and experimentally. A simple experimental setup is proposed, consisting in an array of coupled magnetic dipoles. By driving harmonically the…

Pattern Formation and Solitons · Physics 2017-07-19 A. Mehrem , N. Jiménez , L. Salmerón-Contreras , X. García-Andrés , L. M. García-Raffi , R. Picó , V. Sánchez-Morcillo

Coherent control of wave transmission and reflection is crucial for applications in communication, imaging, and sensing. However, many practical scenarios involve partially coherent waves rather than fully coherent ones. We present a…

Optics · Physics 2024-08-13 Cheng Guo , Shanhui Fan

We consider the electromagnetic waves propagating in the system of coupled waveguides. One of the system components is a standard waveguide fabricated from nonlinear medium having positive refraction and another component is a waveguide…

Pattern Formation and Solitons · Physics 2015-05-13 Elena V. Kazantseva , Andrei I. Maimistov , Sergei S. Ozhenko

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

Asymmetric transmission of circularly polarized waves is a well-established property of lossy, anisotropic, two-dimensionally chiral patterns. Here we show that asymmetric transmission can be observed for oblique incidence onto any lossy…

Optics · Physics 2010-11-18 E. Plum , V. A. Fedotov , N. I. Zheludev

In this article, we investigate the effects of the interplay between quadratic and cubic nonlinearities on the propagation of elastic waves in periodic waveguides. Through this framework, we unveil an array of wave control strategies that…

Pattern Formation and Solitons · Physics 2019-05-31 Weijian Jiao , Stefano Gonella
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