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Nonlinear dynamics have long been exploited in order to damp vibrations in solid mechanics. The phenomenon of irreversible energy transfer from a linear primary system to a nonlinear absorber has driven great attention to the optimal design…

A theory of weakly-nonlinear low-temperature relaxational absorption of acoustic and electromagnetic waves in dielectric and metallic glasses is developed. Basing upon the model of two-level tunneling systems we show that the nonlinear…

Disordered Systems and Neural Networks · Physics 2009-10-30 M. Kirkengen , Yu. M. Galperin

Local electromagnetic field enhancement in resonant metamaterials is useful for efficient generation of nonlinear phenomena; however, the field enhancement is suppressed by losses of nonlinear elements in metamaterials. For overcoming this…

Optics · Physics 2018-11-15 Yasuhiro Tamayama , Takuya Yoshimura

We develop a theory for non-degenerate parametric resonance in a tunable superconducting cavity. We focus on nonlinear effects that are caused by nonlinear Josephson elements connected to the cavity. We analyze parametric amplification in a…

Quantum Physics · Physics 2017-08-31 Waltraut Wustmann , Vitaly Shumeiko

The use of a complex ferromagnetic system to manipulate GHz surface acoustic waves is a rich current topic under investigation, but the high-power nonlinear regime is under-explored. We introduce focused surface acoustic waves, which…

The purpose of this paper is to investigate experimental and numerical dynamic responses of a preloaded vibro-impacting Hertzian contact under sinusoidal excitation. Dynamic response under random excitation is analysed in the second part of…

Classical Physics · Physics 2016-08-14 Emmanuel Rigaud , Joël Perret-Liaudet

We study wave propagation in strongly nonlinear 1D diatomic granular crystals under an impact load. Depending on the mass ratio of the `light' to `heavy' beads, this system exhibits rich wave dynamics from highly localized traveling waves…

Soft Condensed Matter · Physics 2015-12-09 E. Kim , R. Chaunsali , H. Xu , J. Jaworski , J. Yang , P. Kevrekidis , A. F. Vakakis

Nonlinear optical frequency conversion, observed more than half a century ago, is a corner stone in modern applications of nonlinear and quantum optics. It is well known that frequency conversion processes are constrained by conservation…

Optics · Physics 2022-11-23 Stefano Longhi

The energy transfer between different subsystems or different vibration modes is always one of the most interested problems in the study of the resonance phenomena in coupled nonlinear dynamical systems. With an optomechanical system…

Optics · Physics 2023-06-12 Qing Lin , Yi Wu , Gang Li , Bing He

We propose theoretically a method for the control of the frequency of the nonlinear optical response of a model nonlinear medium driven by an electric field and suggest an experimental realization on the basis of isotropic LiF, or NaCl…

Optics · Physics 2013-09-18 L. Chotorlishvili , A. Sukhov , S. Wimberger , J. Berakdar

Absorption of surface acoustic waves by a two-dimensional electron gas in a perpendicular magnetic field is considered. The structure of such system at the filling factor $\nu$ close to 1/2 can be understood as a gas of {\em composite…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Joakim Bergli , Yuri Galperin

We study the analogue of optical frequency combs in driven nonlinear phononic systems, and present a new generation mechanism for phononic frequency combs via nonlinear resonances. The nonlinear resonance refers to the simultaneous…

Other Condensed Matter · Physics 2014-02-25 Lushuai Cao , Dongxiang Qi , Ruwen Peng , Mu Wang , Peter Schmelcher

This paper considers the dynamic response of a single degree of freedom system with nonlinear stiffness and nonlinear damping that is subjected to both resonant direct excitation and resonant parametric excitation, with a general phase…

Mesoscale and Nanoscale Physics · Physics 2020-11-03 Donghao Li , Steven W. Shaw

Acoustic streaming is studied in a rectangular microfluidic channel. It is demonstrated theoretically, numerically, and experimentally with good agreement, frictional heating can alter the streaming pattern qualitatively at high acoustic…

Fluid Dynamics · Physics 2021-12-22 Jonas Helboe Joergensen , Wei Qiu , Henrik Bruus

Nonlinear nanostructured surfaces provide a paradigm shift in nonlinear optics with new ways to control and manipulate frequency conversion processes at the nanoscale, also offering novel opportunities for applications in photonics,…

Applied Physics · Physics 2019-11-07 Kirill Koshelev , Yutao Tang , Kingfai Li , Duk-Yong Choi , Guixin Li , Yuri Kivshar

Optical frequency combs are crucial for both fundamental science and applications demanding wide frequency spanning and ultra-precision resolutions. Recent advancements of nonlinear Kerr effect based optical frequency combs in microcavities…

Optics · Physics 2019-03-13 Yuanlin Zheng , Tian Qin , Jianfan Yang , Xianfeng Chen , Li Ge , Wenjie Wan

Phononic crystals and acoustic meta-materials are used to tailor phonon and sound propagation properties by facilitating artificial, periodic structures. Analogous to photonic crystals, phononic band gaps can be created, which influence…

Mesoscale and Nanoscale Physics · Physics 2014-09-18 Daniel Midtvedt , Andreas Isacsson , Alexander Croy

A quartz Bulk Acoustic Wave resonator is designed to coherently trap phonons in a way that they are well confined and immune to suspension losses so they exhibit extremely high acoustic $Q$-factors at low temperature, with $Q\times f$…

Instrumentation and Detectors · Physics 2018-04-06 Maxim Goryachev , Eugene N. Ivanov , Serge Galliou , Michael E. Tobar

The ability to control and direct acoustic energy is essential for many engineering applications such as vibration and noise control, invisibility cloaking, acoustic sensing, energy harvesting, and phononic switching and rectification. The…

We examine the time-dependent behavior of a nonlinear system driven by a two-frequency forcing. By using a non-perturbative approach, we are able to derive an asymptotic expression, valid in the long-time limit, for the time average of the…

Statistical Mechanics · Physics 2015-02-17 Jesús Casado-Pascual , David Cubero , Ferruccio Renzoni