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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

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

This article presents the experimental characterization of nonreciprocal elastic wave transmission in a single-mode elastic waveguide. This asymmetric system is obtained by coupling a selection layer with a conversion layer: the selection…

Classical Physics · Physics 2015-12-09 Thibaut Devaux , Vincent Tournat , Olivier Richoux , Vincent Pagneux

In this paper we propose some kinds of two-dimensional square zigzag lattice structures and study their bandgaps and directional propagation of elastic waves. The band structures and the transmission spectra of the systems are calculated by…

Materials Science · Physics 2014-11-24 Yan-Feng Wang , Yue-Sheng Wang , Chuanzeng Zhang

Nonreciprocity can be passively achieved by harnessing material nonlinearities. In particular, networks of nonlinear bistable elements with asymmetric energy landscapes have recently been shown to support unidirectional transition waves.…

Applied Physics · Physics 2021-07-14 Gabriele Librandi , Eleonora Tubaldi , Katia Bertoldi

This article introduces a methodology for inducing wavenumber bandgaps via alternating Willis coupling signs. A non-reciprocal wave equation of Willis-type is first considered, and its wave dispersion analyses are carried out via the…

Optics · Physics 2025-03-25 Hasan B. Al Ba'ba'a

Following our recent interest in metamaterial-based devices supporting resonant tunneling, energy squeezing and supercoupling through narrow waveguide channels and bends, here we analyze the fundamental physical mechanisms behind this…

Materials Science · Physics 2009-11-13 Andrea Alu , Mario G. Silveirinha , Nader Engheta

Power transmission in one-dimensional nonlinear magnetic metamaterials driven at one end is investigated numerically and analytically in a wide frequency range. The nonlinear magnetic metamaterials are composed of varactor-loaded split-ring…

Classical Physics · Physics 2015-05-27 Nikos Lazarides , Vassilis Paltoglou , G. P. Tsironis

We report on broadband-to-narrowband elastic wave filtering resulting from time-periodic modulation of the stiffness of a one-dimensional elastic waveguide. Time modulation produces flat dispersion bands at frequencies that are multiple…

Applied Physics · Physics 2019-04-03 Giuseppe Trainiti , Yiwei Xia , Jacopo Marconi , Alper Erturk , Massimo Ruzzene

We experimentally study linear and nonlinear waves on the surface of a fluid covered by an elastic sheet where both tension and flexural waves take place. An optical method is used to obtain the full space-time wave field, and the…

Fluid Dynamics · Physics 2014-02-10 Luc Deike , Jean-Claude Bacri , Eric Falcon

Transition waves in mechanical metamaterials manifest themselves as propagating interfaces between different stable states in lattices composed of arrays of coupled, intrinsically bistable elements. Here, we show experimentally and…

Applied Physics · Physics 2026-03-11 Eleonore Duval , Giada Risso , Alex Zhang , Vincent Tournat , Katia Bertoldi

Acoustic and elastic metamaterials with time- and space-dependent material properties have received great attention recently as a means to break reciprocity for propagating mechanical waves, achieving greater directional control. One…

Applied Physics · Physics 2021-10-06 Benjamin M. Goldsberry , Samuel P. Wallen , Michael R. Haberman

We investigate the nonlinear equations governing wave propagation across a metamaterial consisting of a cellular periodic structure hosting resonators with linear and cubic springs. The resulting system of two coupled equations with cubic…

Dynamical Systems · Mathematics 2025-03-18 Laura Di Gregorio , Walter Lacarbonara

In this study, the in-plane Bloch wave propagation and bandgaps in a finitely stretched square lattice were investigated numerically and theoretically. To be specific, the elastic band diagram was calculated for an infinite periodic…

Soft Condensed Matter · Physics 2021-06-09 Shiheng Zhao , Tao Feng Han Zhang , Yang Gao , Zheng Chang

The electrical generation and detection of elastic waves are the foundation for acousto-electronic and acousto-optic systems. For surface-acoustic-wave devices, micro-/nano-electromechanical systems, and phononic crystals, tailoring the…

Mesoscale and Nanoscale Physics · Physics 2018-05-14 Lu Zheng , Hui Dong , Xiaoyu Wu , Yen-Lin Huang , Wenbo Wang , Weida Wu , Zheng Wang , Keji Lai

This paper presents an experimental framework for inducing and tuning vibration bandgaps in digitally controlled mechatronic metamaterials. A slender-beam structure instrumented with collocated piezoelectric sensor-actuator pairs…

Applied Physics · Physics 2026-01-13 Vivek Gupta , Aditya Natu , S. Hassan HosseinNia

The emergence of "acoustic diode" (AD) capable of rectifying acoustic wave like electrical diodes do to electricity has been believed to be able to offer unconventional manipulation on sound, e.g., to isolate the wrong-way reflection, and…

Classical Physics · Physics 2015-06-04 Zhong-ming Gu , Jie Hu , Bin Liang , Xin-ye Zou , Jian-chun Cheng

Nonreciprocal radiation refers to electromagnetic wave radiation in which a structure provides different responses under the change of the direction of the incident field. Modern wireless telecommunication systems demand versatile…

Applied Physics · Physics 2021-09-14 Sajjad Taravati , George V. Eleftheriades

We consider the coupled electromagnetic waves propagating in a nonlinear coupler and in nonlinear waveguide array, which consists of alternating waveguides of positive and negative refraction indexes. The forward wave and backward wave…

Pattern Formation and Solitons · Physics 2014-09-30 A. I. Maimistov , E. V. Kazantseva

In this paper we derive, by means of a suitable least action principle, the duality jump conditions to be imposed at surfaces of discontinuity of the material properties in non-dissipative, linear-elastic, isotropic, Mindlin's and relaxed…

Mathematical Physics · Physics 2016-08-24 Angela Madeo , Patrizio Neff , Ionel-Dumitrel Ghiba , Giuseppe Rosi