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Materials and devices subject to spatiotemporal modulation of their effective properties have a demonstrated ability to support nonreciprocal transmission of waves. Most notably, spatiotemporally modulated systems can restrict wave…

Applied Physics · Physics 2025-10-06 Jiuda Wu , Behrooz Yousefzadeh

We explore nonreciprocal vibration transmission in a nonlinear periodic waveguide. Nonlinearity and asymmetry, the two necessary requirements for nonreciprocity, are both introduced within the unit cell of the periodic waveguide. We focus…

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

Nonreciprocity is most commonly associated with a large difference in the transmitted energy when the locations of the source and receiver are interchanged. This energy bias is accompanied by a difference in the transmitted phase. We…

Applied Physics · Physics 2026-01-08 Ali Kogani , Behrooz Yousefzadeh

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

Realization of non-reciprocal devices, such as isolators and circulators, is of fundamental importance in microwave and photonic communication systems. This can be achieved by breaking time-reversal symmetry in the system or exploiting…

Applied Physics · Physics 2019-05-01 Junfei Li , Chen Shen , Yangbo Xie , Steven A. Cummer

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

Physical systems with material properties modulated in time provide versatile routes for designing magnetless nonreciprocal devices. Traditionally, nonreciprocity in such systems is achieved exploiting both temporal and spatial modulations,…

The thermal properties of a material with a spatio-temporal modulation in both the thermal conductivity and the mass density are studied. The special configuration studied here consists of a modulation in a wave-like fashion. It is found…

Materials Science · Physics 2018-03-28 Daniel Torrent , Olivier Poncelet , Jean-Chirstophe Batsale

We prove the possibility of achieving non-reciprocal wave propagation in space-time modulated media and give an asymptotic analysis of the non-reciprocity property in terms of the amplitude of the time-modulation. Such modulation causes a…

Analysis of PDEs · Mathematics 2021-09-16 Habib Ammari , Jinghao Cao , Erik Orvehed Hiltunen

Circumventing the reciprocity invariance has posed an interesting challenge in the design of modern devices for wave engineering. In passive devices, operating the device in the nonlinear response regime is a common means for realizing…

Applied Physics · Physics 2025-10-07 Andrus Giraldo , Behrooz Yousefzadeh

Acoustic non-reciprocity has been shown to enable a plethora of effects analogous to phenomena seen in quantum physics and electromagnetics, such as immunity from back-scattering and unidirectional band gaps, which could lead to the design…

Pattern Formation and Solitons · Physics 2019-01-23 Samuel P. Wallen , Michael R. Haberman

Breaking reciprocity has recently gained significant attention due to its broad range of applications in engineering systems. Here, we introduce the first experimental demonstration of a broadband mechanical beam waveguide, which can be…

Applied Physics · Physics 2023-01-04 Amin Mehrvarz , Mohammad Javad Khodaei , Amir Darabi , Ahmad Zareei , Nader Jalili

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

Acoustic waves in a linear time-invariant medium are generally reciprocal; however, reciprocity can break down in a time-variant system. In this Letter, we report on an experimental demonstration of nonreciprocity in a dynamic…

Applied Physics · Physics 2018-11-14 Yifan Wang , Behrooz Yousefzadeh , Hui Chen , Hussein Nassar , Guoliang Huang , Chiara Daraio

Longitudinal wave propagation is considered in a pair of waveguides connected by bilinear spring systems. The nature of the nonlinearity causes the compressive and tensile force-displacement relations of the bilinear spring to behave in a…

Pattern Formation and Solitons · Physics 2020-12-02 Zhaocheng Lu , Andrew N. Norris

Achieving non-reciprocity and building nonreciprocal components through spatio-temporal modulation of material properties has attracted a lot of attention in the recent past as an alternative to the more traditional approach of exploiting…

Applied Physics · Physics 2018-10-31 Negar Reiskarimian , Aravind Nagulu , Tolga Dinc , Harish Krishnaswamy

We present initial results regarding the existence, stability and interaction of linear and nonlinear vibrational modes in a system of two coupled, one dimensional lattices with unequal numbers of masses. The effects on these nonlinear…

Biological Physics · Physics 2007-05-23 Kyle Forinash

Breaking reciprocity in the microwave frequency range will have important implications for modern electronic systems. Since it usually involves bulky biasing magnets or complex spatial-temporal modulations, exploring a lightweight,…

Applied Physics · Physics 2023-05-04 Xiaozhen Yang , Erda Wen , Daniel F. Sievenpiper

Reciprocity is a fundamental principle governing various physical systems, which ensures that the transfer function between any two points in space is identical, regardless of geometrical or material asymmetries. Breaking this transmission…

Classical Physics · Physics 2017-04-12 Corentin Coulais , Dimitrios Sounas , Andrea Alù

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
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