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We report on the existence of nonlinear surface waves which, on the one hand, do not require the threshold energy flow for their excitation, and, on the other hand, extend into media at both sides of the interface at low powers, i.e. can…

Optics · Physics 2015-05-19 Yuliy V. Bludov , Yaroslav V. Kartashov , Vladimir V. Konotop

We demonstrate that nonlinearity may play a constructive role in supporting Bloch oscillations in a model which is discrete, in one dimension and continuous in the orthogonal one. The model can be experimentally realized in several fields…

Pattern Formation and Solitons · Physics 2017-05-25 R. Driben , V. V. Konotop , T. Meier , A. V. Yulin

We show that superlattices based on zero-gap semiconductors such as graphene and mercury telluride exhibit characteristic Bloch--Zener oscillations that emerge from the coherent superposition of Bloch oscillations and multiple Zener…

Mesoscale and Nanoscale Physics · Physics 2012-03-26 Viktor Krueckl , Klaus Richter

We study the spatio-temporal evolution of wave packets in one-dimensional quasiperiodic lattices which localize linear waves. Nonlinearity (related to two-body interactions) has destructive effect on localization, as recently observed for…

Disordered Systems and Neural Networks · Physics 2015-02-26 Marco Larcher , Tetyana V. Laptyeva , Joshua D. Bodyfelt , Franco Dalfovo , Michele Modugno , Sergej Flach

We suggest a novel type of photonic structures where the strength of diffraction can be managed in a very broad frequency range. We introduce optimized arrays of curved waveguides where light beams experience wavelength-independent normal,…

Optics · Physics 2007-05-23 Ivan L. Garanovich , Andrey A. Sukhorukov , Yuri S. Kivshar

We consider the coupled electromagnetic waves propagating in a waveguide array, which consists of alternating waveguides of positive and negative refraction indexes. Due to zigzag configuration there are interactions between both nearest…

Optics · Physics 2013-05-01 Elena V. Kazantseva , Andrey I. Maimistov

A localized non-Hermitian potential can operate as a coherent perfect absorber or as a laser for nonlinear waves. The effect is illustrated for an array of optical waveguides, with the central waveguide being either active or absorbing. The…

Optics · Physics 2018-12-11 Dmitry A. Zezyulin , Herwig Ott , Vladimir V. Konotop

The purpose of this paper is to investigate the scattering by a nonlinear crystal whose depth is about the wavelength of the impinging field. More precisely, an infinite nonlinear slab is illuminated by an incident field which is the sum of…

Optics · Physics 2010-11-22 Pierre Godard , Frederic Zolla , Andre Nicolet

We demonstrate the possibility of self-trapping of optical beams by use of quasi phase matching in a counterpropagating configuration in quadratic media. We also show the predominant stability of these spatial self-guided beams and estimate…

We describe theoretically and observe experimentally the formation of a surface state in a semi-infnite waveguide array with side-coupled waveguide, designed to simultaneously achieve Fano and Fabry-Perot resonances. We demonstrate that the…

Lamb waves are trapped acoustic-gravity waves that propagate energy over great distances along a solid boundary in density stratified, compressible fluids. They constitute useful indicators of explosions in planetary atmospheres. When the…

Fluid Dynamics · Physics 2019-05-03 Manolis Perrot , Pierre Delplace , Antoine Venaille

The propagation of waves in periodic media is related to the parametric oscillators. We transpose the possibility that a parametric pendulum oscillates in the vicinity of its unstable equilibrium positions to the case of waves in lossless…

Classical Physics · Physics 2011-10-12 Nicolas Combe

We present a theoretical study of electromagnetic surface waves localized at an interface separating a conventional uniform medium and a semi-infinite 1-D photonic crystal made of alternate left-handed metamaterial and right-handed material…

Optics · Physics 2009-11-13 Abdolrahman Namdar

The propagation of intense acoustic waves in a one-dimensional phononic crystal is studied. The medium consists in a structured fluid, formed by a periodic array of fluid layers with alternating linear acoustic properties and quadratic…

Pattern Formation and Solitons · Physics 2016-10-18 Noé Jiménez , Ahmed Mehrem , Rubén Picó , Lluís M. García-Raffi , Víctor J. Sánchez-Morcillo

We study the reflection of Bloch wavepackets at the interface of optical lattice possessing a shallow longitudinal out-of-phase refractive index modulation in adjacent waveguides. We show that the relation between the transmitted and…

Optics · Physics 2015-05-20 Yaroslav V. Kartashov , Victor A. Vysloukh , Lluis Torner

We propose models in nonlinear elasticity for nonsimple materials that include surface energy terms. Additionally, we also discuss living surface loads on the boundary. We establish corresponding linearized models and show their…

Analysis of PDEs · Mathematics 2024-12-05 Martin Kružík , Edoardo Mainini

Circuits provide ideal platforms of topological phases and matter, yet the study of topological circuits in the strongly nonlinear regime, has been lacking. We propose and experimentally demonstrate strongly nonlinear topological phases and…

Mesoscale and Nanoscale Physics · Physics 2023-07-03 Jijie Tang , Fangyuan Ma , Feng Li , Honglian Guo , Di Zhou

We predict that optical Bloch oscillations can be observed in layered structures with left-handed metamaterials and zero average refractive index where the layer thickness varies linearly across the structure. We demonstrate a new type of…

The hallmark feature of topological insulators renders edge transport virtually impervious to scattering at defects and lattice disorder. In our work, we experimentally demonstrate a topological system, using a photonic platform, in which…

The interaction of non-monochromatic radiation with two types of arrays comprising both plasmonic and dielectric nanoparticles has been studied in detail. We have shown that dielectric nanoparticle arrays provide a complete selective…