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Passive transformation of waves via nonlinear systems is ubiquitous in settings ranging from acoustics to optics and electromagnetics. Passivity is of particular importance for responding rapidly to stimuli and nonlinearity enormously…

Materials Science · Physics 2024-07-02 Brianna MacNider , Haning Xiu , Kai Qian , Ian Frankel , Hyunsun Alicia Kim , Nicholas Boechler

In this research, we investigate in-depth the nonlinear energy transmission phenomenon in a metastable modular metastructure and develop efficient tools for the design of such systems. Previous studies on a one-dimensional (1D)…

Applied Physics · Physics 2019-07-09 Zhen Wu , Kon-Well Wang

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

We analyze the properties and stability of two-color discrete localized modes in arrays of channel waveguides where tunable quadratic nonlinearity is introduced as a nonlinear defect by periodic poling of a single waveguide in the array. We…

Pattern Formation and Solitons · Physics 2009-11-11 M. I. Molina , R. A. Vicencio , Y. S. Kivshar

We study the nonlinear wave dynamics of one-dimensional chains of polycatenated rings. These interlocked structures support amplitude-dependent nonlinear wave propagation driven by tensile activation and internal structural flexibility,…

Soft Condensed Matter · Physics 2026-05-25 Xiaoxiao Xiong , Reo Yanagi , Tingtao Zhou , Chiara Daraio

We have fabricated and studied a system of two tunable and coupled nonlinear superconducting resonators. The nonlinearity is introduced by galvanically coupled dc-SQUIDs. We simulate the system response by means of a circuit model, which…

We present a consistent theoretical approach for calculating effective nonlinear susceptibilities of metamaterials taking into account both frequency and spatial dispersion. Employing the discrete dipole model, we demonstrate that effects…

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

Waves scattered at a self-oscillating mode can exhibit superradiance, or net amplification of an external harmonic excitation. This exotic behavior, arising from the nonlinear coupling between the mode and the incident wave, is…

Dynamical Systems · Mathematics 2023-03-22 Tiemo Pedergnana , Nicolas Noiray

The ability to exploit the on-chip nonlinear generation of new frequencies has opened the door to a plethora of applications in fundamental and applied physics. Excitation of dispersive waves is a particularly interesting process that…

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

We consider dynamics of spatial beams in a dual-channel waveguide with competing cubic and quintic (CQ) nonlinearities. Gradually increasing the power in the input channel, we identify four different regimes of the pulses coupling into the…

Pattern Formation and Solitons · Physics 2009-11-11 Rodislav Driben , Boris A Malomed , Pak L Chu

In this letter, we experimentally investigate the directional characteristics of propagating, finite-amplitude wave packets in lattice materials, with an emphasis on the functionality enhancement due to the nonlinearly-generated higher…

Pattern Formation and Solitons · Physics 2017-06-27 R. Ganesh , Stefano Gonella

An interaction of non-uniform plane elastic modes of the waveguide type with monolayer and double-layer quantum Hall systems is considered. It is shown, that unlike the case of the surface acoustic wave propagation, the restriction on…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 D. V. Fil

Dipolar coupling between closely spaced magnetic waveguides enables the design of magnonic directional couplers - universal devices capable of functioning as signal combiners, power splitters, demultiplexers, and more. The…

Mesoscale and Nanoscale Physics · Physics 2025-05-21 Xu Ge , Roman Verba , Philipp Pirro , Andrii V. Chumak , Qi Wang

Waveguide quantum electrodynamics offers a wide range of possibilities to effectively engineer interactions between artificial atoms via a one-dimensional open waveguide. While these interactions have been experimentally studied in the few…

Recently, the investigation of metasurface has been extended to wave control through exploiting nonlinearity. Among all of the ways to achieve tunable metasurfaces with multiplexed performances, nonlinearity is one of the promising choices.…

Applied Physics · Physics 2020-12-02 Mehdi Kiani , Ali Momeni , Majid Tayarani , Can Ding

Owing to their periodic and intricate configurations, metamaterials engineered for acoustic and elastic wave control inevitably suffer from manufacturing anomalies and deviate from theoretical dispersion predictions. This work exploits the…

Applied Physics · Physics 2020-08-12 H. Al Ba'ba'a , S. Nandi , T. Singh , M. Nouh

Coupled waveguides are convenient at implementing useful optical transformations. In this letter, we investigate the uncertainty of transformation by two coupled waveguides that stems from the perturbations of waveguide's mode indices~---…

Optics · Physics 2018-05-11 M. Yu. Saygin

We study light-beam propagation in a nonlinear coupler with an asymmetric double-channel waveguide and derive various analytical forms of optical modes. The results show that the symmetry-preserving modes in a symmetric double-channel…

Optics · Physics 2015-06-01 Rujiang Li , Fei Lv , Lu Li , Zhiyong Xu