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In lossless acoustic systems, mode transitions are always time-reversible, consistent with Lorentz reciprocity, giving rise to symmetric sound manipulation in space-time. To overcome this fundamental limitation and break space-time…

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

Nonreciprocal coupling can alter the transport properties of material media, producing striking phenomena such as unidirectional amplification of waves, boundary modes, or self-assembled pattern formation. It is responsible for nonlinear…

Pattern Formation and Solitons · Physics 2026-04-14 David Pinto-Ramos , Karin Alfaro-Bittner , René G. Rojas , Marcel G. Clerc

Non-reciprocal transmission of motion is potentially highly beneficial to a wide range of applications, ranging from wave guiding, to shock and vibration damping and energy harvesting. To date, large levels of non-reciprocity have been…

Applied Physics · Physics 2019-10-23 Martin Brandenbourger , Xander Locsin , Edan Lerner , Corentin Coulais

Scattering of obliquely incident electromagnetic waves from periodically space-time modulated slabs is investigated. It is shown that such structures operate as nonreciprocal harmonic generators and spatial-frequency filters. For oblique…

Classical Physics · Physics 2018-01-03 Sajjad Taravati , Nima Chamanara , Christophe Caloz

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

Laminated media with material properties modulated in space and time in the form of travelling waves have long been known to exhibit non-reciprocity. However, when using the method of low frequency homogenisation, it was so far only…

Classical Physics · Physics 2023-11-20 Marie Touboul , Bruno Lombard , Raphaël Assier , Sébastien Guenneau , Richard V Craster

This note analytically investigates non-reciprocal wave dispersion in locally resonant acoustic metamaterials. Dispersion relations associated with space-time varying modulations of inertial and stiffness parameters of the base material and…

Applied Physics · Physics 2018-01-11 M. A. Attarzadeh , H. Al Ba'ba'a , M. Nouh

Space-time-varying materials pledge to deliver nonreciprocal dispersion in linear systems by inducing an artificial momentum bias. Although such a paradigm eliminates the need for actual motion of the medium, experimental realization of…

Applied Physics · Physics 2020-02-18 M. A. Attarzadeh , J. Callanan , M. Nouh

This paper addresses the analysis and design of non-reciprocal filters based on time modulated resonators. We analytically show that time modulating a resonator leads to a set of harmonic resonators composed of the unmodulated lumped…

Signal Processing · Electrical Eng. & Systems 2020-02-19 A. Alvarez-Melcon , X. Wu , J. Zang , X. Liu , J. S. Gomez-Diaz

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

Nonreciprocity of spin wave propagation is a well-known consequence of antisymmetric exchange contributions possible in magnetic spin systems that lack inversion symmetry. In this case, it is possible for the energy of a state to depend on…

Strongly Correlated Electrons · Physics 2019-09-06 Benjamin W. Zingsem , Michael Farle , Robert L. Stamps , Robert E. Camley

By investigating thoroughly the tunable behavior of coupled modes, we highlight how it provides new means to handle the properties of spin transfer nano-oscillators. We first demonstrate that the main features of the microwave signal…

Space-time modulated elastic media, whose material properties vary in both space and time, have attracted significant attention as a promising strategy for achieving nonreciprocal propagation of elastic waves. To date, most studies have…

Applied Physics · Physics 2025-08-21 Yingrui Ye , Chunxia Liu , Xiaopeng Wang , Antonio Palermo

Nonreciprocity in space-time modulated photonic crystals has been investigated in the context of nonreciprocal propagation and polarization. Here, we investigate a reconfigurable nonreciprocal wave growth in space-time modulated crystals.…

Applied Physics · Physics 2023-11-07 Mohamed F. Hagag , Thomas R. Jones , Karim Seddik , Dimitrios Peroulis

Spatiotemporally modulated elastic metamaterials have garnered increasing interest for their potential applications in nonreciprocal wave devices. Most existing studies, however, focus on systems where spatiotemporal modulation is…

Applied Physics · Physics 2025-04-29 Yingrui Ye , Chunxia Liu , Alessandro Marzani , Emanuele Riva , Antonio Palermo , Xiaopeng Wang

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 reciprocity principle governs the symmetry in transmission of electromagnetic and acoustic waves, as well as the diffusion of heat between two points in space, with important consequences for thermal management and energy harvesting.…

Applied Physics · Physics 2022-01-19 Jiaxin Li , Ying Li , Pei-Chao Cao , Xu Zheng , Yu-Gui Peng , Baowen Li , Xue-Feng Zhu , Andrea Alù , Cheng-Wei Qiu

In this work, we discuss the realization of mechanical devices with non-reciprocal attributes enabled by inertia-amplifying, time-modulated mechanisms. Our fundamental building-block features a mass, connected to a fixed ground through a…

Classical Physics · Physics 2024-01-17 Paolo Celli , Antonio Palermo

The scattering formulation of characteristic mode decomposition is utilized to extend modal analysis to lossless scatterers breaking time-reversal symmetry. This enables characteristic modes analysis on devices containing gyrotropic or…