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Breaking the reciprocity of electromagnetic interactions is of paramount importance in photonic and microwave technologies, as it enables unidirectional power flows and other unique electromagnetic phenomena. Here we explore a method to…

Optics · Physics 2021-06-09 Asma Fallah , Yasaman Kiasat , Mário G. Silveirinha , Nader Engheta

This book chapter describes the dynamics of a modulated oscillator for resonant and nonresonant modulation. Two types of resonant modulation are considered: additive, with frequency close to the oscillator eigenfrequency, and parametric,…

Mesoscale and Nanoscale Physics · Physics 2011-12-13 M. I. Dykman

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

Nonreciprocal devices are a key element for signal routing and noise isolation. Rapid development of quantum technologies has boosted the demand for a new generation of miniaturized and low-loss nonreciprocal components. Here we use a pair…

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 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

The notion of nonreciprocity, in essence when going forwards is different from going backwards, emerges in all branches of physics from cosmology to electromagnetism. Intriguingly, the breakdown of reciprocity is typically associated with…

Quantum Physics · Physics 2022-12-27 C. A. Downing , T. J. Sturges

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

We study the breaking of reciprocity in non-Hermitian coupled photonic waveguides by the simultaneous action of the nonlinear effect of saturable absorption, and the presence of exceptional points. The nonlinear response of such a system is…

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

Surface curvature of magnetic systems can lead to many static and dynamic effects which are not present in flat systems of the same material. These emergent magnetochiral effects can lead to frequency nonreciprocity of spin waves, which has…

Mesoscale and Nanoscale Physics · Physics 2022-07-20 Lukas Körber , Roman Verba , Jorge A. Otálora , Volodymyr Kravchuk , Jürgen Lindner , Jürgen Fassbender , Attila Kákay

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 transfer matrix method remains a simple yet powerful tool for modeling acoustic systems, particularly in a closed waveguide geometry. Here we present a generalisation of this method based on the theory of mode matching, that…

Applied Physics · Physics 2025-04-07 D. Cidlinsky , G. J. Chaplain , S. A. R. Horsley

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

Nonreciprocal components, such as isolators and circulators, are crucial components for photonic systems. In this article we review theoretical and experimental progress towards developing nonreciprocal photonic devices based on dynamic…

A simple and general formalism for mode coupling by a spatial, temporal or spatiotemporal perturbation in dispersive materials is developed. This formalism can be used for studying various linear and non-linear optical interactions…

Optics · Physics 2015-06-19 Brenda Dana , Lilya Lobachinsky , Alon Bahabad

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

The effect of temporal modulation on traveling waves in the flows in two distinct systems of rotating cylinders, both with broken azimuthal symmetry, has been investigated. It is shown that by modulating the control parameter at twice the…

Acoustic phased arrays are capable of steering and focusing a beam of sound via selective coordination of the spatial distribution of phase angles between multiple sound emitters. Constrained by the principle of reciprocity, conventional…

Applied Physics · Physics 2021-11-16 R. Adlakha , M. Moghaddaszadeh , M. A. Attarzadeh , A. Aref , M. Nouh

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