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We propose a dynamically tunable nonreciprocal response for wave propagations by employing nonlinear Fano resonances. We demonstrate that transmission contrast of waves propagation in opposite directions can be controlled by excitation…

Optics · Physics 2015-06-17 Yi Xu , Andrey E. Miroshnichenko

The dynamics of many natural systems is dominated by non-linear waves propagating through the medium. We show that the dynamics of non-linear wave fronts with positive surface tension can be formulated as a gradient system. The variational…

Pattern Formation and Solitons · Physics 2016-02-24 Hans Dierckx , Henri Verschelde

Unidirectional wave propagation in nonreciprocal structures enables exciting opportunities to control and enhance wave-matter interactions in extreme ways. Within this context, here we investigate the possibility of using terminated…

The dynamics of coherent nonlinear wave groups is shown to be drastically different from the classical scenario of weakly nonlinear wave interactions. The coherent groups generate non-resonant (bound) waves which can be synchronized with…

Fluid Dynamics · Physics 2018-01-17 A. Slunyaev

Capillary waves are a classical free-surface phenomenon in fluid mechanics, yet their behavior in chiral fluids remains largely unexplored. We show that odd viscosity breaks the reciprocity of capillary waves. Using linear theory together…

Fluid Dynamics · Physics 2026-03-17 Holly du Plessis , Pedro Cosme , Hugo França , Maziyar Jalaal

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…

Nonreciprocal spin-wave propagation in bilayer ferromagnetic systems has attracted significant attention due to its potential to precisely quantify material parameters as well as for applications in magnonic logic and information…

Mesoscale and Nanoscale Physics · Physics 2025-05-07 C. Heins , V. Iurchuk , O. Gladii , L. Körber , A. Kákay , J. Fassbender , K. Schultheiss , H. Schultheiss

Conditions on the elastic stiffnesses of anisotropic crystals are derived such that circularly polarized longitudinal inhomogeneous plane waves with an isotropic slowness bivector may propagate for any given direction of the normal to the…

Soft Condensed Matter · Physics 2013-04-09 Philippe Boulanger , Michel Destrade , Michael A. Hayes

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

Flat band systems can yield interesting phenomena, such as dispersion suppression of waves with frequency at the band. While linear transport vanishes, the corresponding nonlinear case is still an open question. Here, we study power…

Pattern Formation and Solitons · Physics 2023-12-01 H. Susanto , N. Lazarides , I. Kourakis

Nonlinearity induced nonreciprocity is studied in a system comprising two resonators coupled to a one-dimensional waveguide when the linear system does not exhibit nonreciprocity. The analysis is based on the Hamiltonian of the coupled…

Optics · Physics 2024-09-11 Qingtian Miao , G. S. Agarwal

Locally broken symmetries are used across fields to transport matter, particles and information in preferential directions. Beyond local mechanisms, spatially distributed nonlinearities in crystalline media have enabled non-reciprocal…

Soft Condensed Matter · Physics 2026-03-31 Aaron Winn , Justine Parmentier , Eleni Katifori , Martin Brandenbourger

We consider time-reversal of electromagnetic waves in a closed, wave-chaotic system containing a discrete, passive, harmonic-generating nonlinearity. An experimental system is constructed as a time-reversal mirror, in which excitations…

Chaotic Dynamics · Physics 2013-12-20 Matthew Frazier , Biniyam Taddese , Bo Xiao , Thomas Antonsen , Edward Ott , Steven M. Anlage

In two space dimensions and one time dimension a wave changes its shape even in the absence of a dispersive medium. However, this anomalous dispersive behavior in empty two-dimensional space does not occur if the wave dynamics is described…

Mesoscale and Nanoscale Physics · Physics 2017-09-20 Carl M. Bender , Francisco J. Rodriguez , Sarben Sarkar , Anatoly V. Zayats

The propagation of waves in the nonlinear acoustic metamaterials (NAMs) is fundamentally different from that in the conventional linear ones. In this article we consider two one-dimensional NAM systems featuring respectively a diatomic and…

Pattern Formation and Solitons · Physics 2017-05-18 Xin Fang , Jihong Wen , Bernard Bonello , Jianfei Yin , Dianlong Yu

The nonlinear properties of quasiperiodic photonic crystals based on the Thue-Morse sequence are investigated. The intrinsic spatial asymmetry of these one-dimensional structures for odd generation numbers results in bistability thresholds…

Optics · Physics 2010-05-27 Victor Grigoriev , Fabio Biancalana

In weakly nonlinear dispersive wave systems, long-time dynamics are typically governed by time resonances, where wave phases evolve coherently due to exact frequency matching. Recent advances in spatio-temporal spectrum measurements,…

Pattern Formation and Solitons · Physics 2025-12-09 Michal Shavit , Fabio Pusateri , Zhou Zhang , Yulin Pan , Davide Maestrini , Miguel Onorato , Jalal Shatah

The propagation and refraction of a cylindrical wave created by a line current through a slab of backward wave medium, also called left-handed medium, is numerically studied with FDTD. The slab is assumed to be uniaxially anisotropic.…

Condensed Matter · Physics 2013-05-29 M. K. Karkkainen

We study the interaction of highly nonlinear solitary waves in granular crystals, with an adjacent linear elastic medium. We investigate the effects of interface dynamics on the reflection of incident waves and on the formation of primary…

Materials Science · Physics 2015-05-20 Jinkyu Yang , Claudio Silvestro , Devvrath Khatri , Luigi De Nardo , Chiara Daraio

This work presents a mechanism by which non-reciprocal wave transmission is achieved in a class of gyric metamaterial lattices with embedded rotating elements. A modulation of the device's angular momentum is obtained via prescribed…

Applied Physics · Physics 2020-08-12 M. A. Attarzadeh , S. Maleki , J. L. Crassidis , M. Nouh
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