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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

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

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

We study the role of time-reversal symmetry on the dynamical response of nonlinear optical systems that behave as unidirectional ("one-way") devices. It is shown that lossless nonlinear materials, despite being nonreciprocal, are typically…

Applied Physics · Physics 2022-05-30 David E. Fernandes , Mário G. Silveirinha

We report on the demonstration of an effective, nonlinearity-induced non-reciprocal behavior in a single non-magnetic multi-mode Taiji resonator. Non-reciprocity is achieved by a combination of an intensity-dependent refractive index and of…

Waveguides subject to spatiotemporal modulations are known to exhibit nonreciprocal vibration transmission, whereby interchanging the locations of the source and receiver change the end-to-end transmission characteristics. The scenario of…

Applied Physics · Physics 2025-10-20 Jiuda Wu , Behrooz Yousefzadeh

Exploiting the time-reversal invariance and reciprocal properties of the lossless wave equation enables elegantly simple solutions to complex wave-scattering problems, and is embodied in the time-reversal mirror. A time-reversal mirror…

Chaotic Dynamics · Physics 2013-02-12 Matthew Frazier , Biniyam Taddese , Thomas Antonsen , Steven M. Anlage

One of the key contributions of the 1972 seminal paper by Willems was the analysis of symmetry (also called reciprocity) of input-state-output systems, both from an external (input-output) and internal (state) point of view. The developed…

Optimization and Control · Mathematics 2024-01-02 Arjan van der Schaft

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

Dynamic reciprocity imposes stringent performance constraints on nonlinear optical devices such as isolators and circulators. The seminal result by Shi et al. establishes that nonlinear optical devices relying on the intensity-dependent…

Optics · Physics 2024-08-26 Alexander D. White , Rahul Trivedi

Nonreciprocity has been introduced to various fields to realize asymmetric, nonlinear, and/or time non-revisal physical systems. By virtue of the Maxwell-Betti reciprocal theorem, breaking the time-reversal symmetry of dynamic mechanical…

Classical Physics · Physics 2021-01-05 Mohamed Shaat

A novel concept for the design of nonlinear optical diodes is proposed which uses the multistability of coupled nonlinear microcavities and the dependence of switching thresholds on the direction of incidence. A typical example of such…

Optics · Physics 2011-05-31 Victor Grigoriev , Fabio Biancalana

We demonstrate symmetric wave propagations in asymmetric nonlinear quantum systems. By solving the nonlinear Sch\"ordinger equation, we first analytically prove the existence of symmetric transmission in asymmetric systems with a single…

Mesoscale and Nanoscale Physics · Physics 2018-05-23 Gaomin Wu , Yang Long , Jie Ren

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

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

Mechanical non-reciprocity-manifested as asymmetric responses to opposing mechanical stimuli-has traditionally been achieved through intricate structural nonlinearities in metamaterials. However, continuum solids with inherent…

Soft Condensed Matter · Physics 2025-11-17 Chang Xu , Shuaihu Wang , Hong Wang , Xu Liu , Zemin Liu , Yiqiu Zhao , Wenqi Hu , Qin Xu

On-chip optical nonreciprocal devices are vital components for integrated photonic systems and scalable quantum information processing. Nonlinear optical isolators and circulators have attracted considerable attention because of their…

Optics · Physics 2022-11-18 Rui-Kai Pan , Lei Tang , Keyu Xia , Franco Nori

The study of nonreciprocal wave propagation is of great interests for both fundamental research and engineering applications. Here we demonstrate theoretically and experimentally a bidirectional, nonreciprocal, and high-quality diode that…

Applied Physics · Physics 2021-05-19 Xin Fang , Jihong Wen , Li Cheng , Baowen Li

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
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