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Despite the extensive studies of topological systems, the experimental characterizations of strongly nonlinear topological phases have been lagging. To address this shortcoming, we design and build elliptically geared isostatic…

Materials Science · Physics 2023-08-01 Fangyuan Ma , Zheng Tang , Xiaotian Shi , Ying Wu , Jinkyu Yang , Di Zhou , Yugui Yao , Feng Li

We discuss generic properties of rotating nonlinear wave solutions, the so called azimuthons, in nonlocal media. Variational methods allow us to derive approximative values for the rotating frequency, which is shown to depend crucially on…

Pattern Formation and Solitons · Physics 2008-07-02 S. Skupin , M. Grech , W. Krolikowski

We study gray solitons in nonlocal nonlinear media and show that they are stable and can form bound states. We reveal that gray soliton velocity depends on the nonlocality degree, and that it can be drastically reduced in highly nonlocal…

Optics · Physics 2009-11-13 Yaroslav V. Kartashov , Lluis Torner

We introduce the concept of controlling the nonlinear response of the metamaterial by altering its internal structure. We experimentally demonstrate tuning of the nonlinear response of two coupled split-ring resonators by changing their…

Nonlocal Hamiltonians are used widely in first-principles quantum calculations; the nonlocality stems from eliminating undesired degrees of freedom, e.g. core electrons. To date, attempts to couple nonlocal systems to external…

Materials Science · Physics 2009-11-07 Sohrab Ismail-Beigi , Eric K. Chang , Steven G. Louie

For over 7 decades it has been debated as to whether nonlocality is strictly of an uncontrollable nature. Based upon polarization measurements with entangled photons, it has been revealed that nonlocality cannot be used to achieve…

General Physics · Physics 2007-05-23 Fred H. Thaheld

We present an overview of recent advances in the understanding of optical beams in nonlinear media with a spatially nonlocal nonlinear response. We discuss the impact of nonlocality on the modulational instability of plane waves, the…

Pattern Formation and Solitons · Physics 2009-11-10 W. Krolikowski , O. Bang , N. I. Nikolov , D. Neshev , J. Wyller , J. J. Rasmussen , D. Edmundson

It is known that multidimensional complex potentials obeying $\mathcal{PT}$-symmetry may possess all real spectra and continuous families of solitons. Recently it was shown that for multi-dimensional systems these features can persist when…

Pattern Formation and Solitons · Physics 2017-01-04 J. D'Ambroise , P. G. Kevrekidis

Polar dielectric nanoresonators can support hybrid photon-phonon modes termed surface phonon polaritons with lengthscales below the diffraction limit. In the deep sub-wavelength regime the optical response of these systems was recently…

Mesoscale and Nanoscale Physics · Physics 2020-06-11 C. R. Gubbin , S. De Liberato

We propose an integrable system of coupled nonlinear Schrodinger equations with cubic-quintic terms describing the effects of quintic nonlinearity on the ultra-short optical soliton pulse propagation in non-Kerr media. Lax pair, conserved…

solv-int · Physics 2009-10-31 R. Radhakrishnan , A. Kundu , M. Lakshmanan

We consider the interplay between nonlocal nonlinearity and randomness for two different nonlinear Schr\"odinger models. We show that stability of bright solitons in presence of random perturbations increases dramatically with the…

Pattern Formation and Solitons · Physics 2012-06-07 F. Maucher , W. Krolikowski , S. Skupin

We study the dynamics of a pair of nonlinear split-ring resonators (a `metadimer') excited by an alternating magnetic field and coupled magnetically. Linear metadimers of this kind have been recently used as the elementary components for…

Weak interaction of temporal cavity solitons due to gain saturation and recovery in a delay differential model of a long cavity semiconductor laser is studied numerically and analytically using an asymptotic approach. It is shown that in…

Optics · Physics 2023-04-20 Andrei G. Vladimirov

We analyze nonlinear properties of microstructured materials with negative refraction, the so-called left-handed metamaterials. We demonstrate that the hysteresis-type dependence of the magnetic permeability on the field intensity allows…

We demonstrate the possibility of stopping the soliton pulses in optical waveguide with varying and constant parameters exhibiting a Kerr nonlinear response. By using the similarity transformation, we have found the constraint condition for…

Pattern Formation and Solitons · Physics 2024-10-15 Vladimir I. Kruglov , Houria Triki

Using similarity transformations we construct explicit solutions of the nonlinear Schrodinger equation with linear and nonlinear periodic potentials. We present explicit forms of spatially localized and periodic solutions, and study their…

Pattern Formation and Solitons · Physics 2015-05-13 Juan Belmonte Beitia , Vladimir V. Konotop , Victor M. Perez Garcia , Vadym E. Vekslerchik

The concept of local symmetry is a powerful tool in predicting complex transport phenomena in aperiodic media. A nonlocal continuity formalism reveals how local symmetries are encoded into the dynamics of light propagation in discrete…

The ability to engineer metamaterials with tunable nonlinear optical properties is crucial for nonlinear optics. Traditionally, metals have been employed to enhance nonlinear optical interactions through field localization. Here, inspired…

In this contribution we introduce a new strategy for the compensation of plasmonic losses based on a recently proposed nonlinear mechanism: the resonant interaction between surface plasmon polaritons and spatial solitons propagating in…

Optics · Physics 2017-02-01 Albert Ferrando

The existence of a novel type of solitons in periodic Kerr media constructed as superposition of noninteracting gap-solitons of different kinds (bright, dark and periodic) is first demonstrated. The periodic modulation of the nonlinearity…

Optics · Physics 2011-09-14 Yuliy V. Bludov , Vladimir V. Konotop , Mario Salerno
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