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We study light localization at a phase-slip defect created by two semi-infinite mismatched identical arrays of coupled optical waveguides. We demonstrate that the nonlinear defect modes possess the specific properties of both nonlinear…

Pattern Formation and Solitons · Physics 2009-11-13 Mario I. Molina , Yuri S. Kivshar

We predict that a photonic crystal fiber whose strands are filled with a defocusing nonlinear medium can support stable bright and also vortex solitons if the strength of the defocusing nonlinearity grows toward the periphery of the fiber.…

We review studies of superintense laser interaction with solid targets where the generation of propagating surface plasmons (or surface waves) plays a key role. These studies include the onset of plasma instabilities at the irradiated…

Optics · Physics 2018-04-18 A. Macchi

We obtain sharp criteria for transverse stability and instability of line solitons in the discrete nonlinear Schr\"{o}dinger equations on one- and two-dimensional lattices near the anti-continuum limit. On a two-dimensional lattice, the…

Pattern Formation and Solitons · Physics 2015-06-11 Dmitry E. Pelinovsky , Jianke Yang

Solitons are non-dispersing localized waves that occur in diverse physical settings. A variety of optical solitons have been observed, but versions that involve both spatial and temporal degrees of freedom are rare. Optical fibers designed…

Optics · Physics 2015-06-15 William H. Renninger , Frank W. Wise

An optical four-level atomic discrete system through optical induction is proposed. A theoretical scheme to produce nonclassical lattice solitons (NLS) in the system is presented with the use of the effects of enhanced self-phase modulation…

Optics · Physics 2010-07-08 Yongyao Li , Zhonghui Yuan , Wei Pang , Yikun Liu

Families of solitons in one- and two-dimensional (1D and 2D) Gross-Pitaevskii equations with the repulsive nonlinearity and a potential of the quasicrystallic type are constructed (in the 2D case, the potential corresponds to a five-fold…

Soft Condensed Matter · Physics 2009-11-11 Hidetsugu Sakaguchi , Boris A. Malomed

We observe experimentally higher-order solitons in waveguide arrays with defocusing saturable nonlinearity. Such solitons can comprise several in-phase bright spots and are stable above a critical power threshold. We elucidate the impact of…

We address the existence and properties of multipole solitons localized at a thermally insulating interface between uniform or layered thermal media and a linear dielectric. We find that in the case of uniform media, only surface multipoles…

Optics · Physics 2016-04-13 Yaroslav V. Kartashov , Victor A. Vysloukh , Lluis Torner

We develop stability analysis for matter-wave solitons in a two-dimensional (2D) Bose-Einstein condensate loaded in an optical lattice (OL), to which periodic time modulation is applied, in different forms. The stability is studied by dint…

Quantum Gases · Physics 2017-12-08 Nir Dror , Boris A. Malomed

We analyze nonlinear collective effects near surfaces of semi-infinite periodic systems with multi-gap transmission spectra and introduce a novel concept of multi-gap surface solitons as mutually trapped surface states with the components…

We elucidate the properties of mixed-gap vector surface solitons supported by the interface between a uniform medium and an optical lattice imprinted in a Kerr-type nonlinear media. The components of such mixed-gap solitons emerge from…

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

We report on the experimental observation of corner surface solitons localized at the edges joining planar interfaces of hexagonal waveguide array with uniform nonlinear medium. The face angle between these interfaces has a strong impact on…

We study theoretically nonlinear propagation of light in a graphene monolayer. We show that the large intrinsic nonlinearity of graphene at optical frequencies enables the formation of quasi one-dimensional self-guided beams (spatial…

Two-dimensional spatial solitonic lattices are generated and investigated experimentally and numerically in an SBN:Ce crystal. An enhanced stability of these lattices is achieved by exploiting the anisotropy of coherent soliton interaction,…

Pattern Formation and Solitons · Physics 2007-05-23 M. Petrovic , D. Traeger , A. Strinic , M. Belic , J. Schroeder , C. Denz

We introduce novel optical solitons that consist of a periodic and a spatially localized components coupled nonlinearly via cross-phase modulation. The spatially localized optical field can be treated as a gap soliton supported by the…

Pattern Formation and Solitons · Physics 2009-11-10 Anton S. Desyatnikov , Elena A. Ostrovskaya , Yuri S. Kivshar , Cornelia Denz

We consider an array of straight nonlinear waveguides constituting a two-dimensional square lattice, with a few central layers tilted with respect to the rest of the structure. It is shown that such configuration represents a line defect,…

We perform numerical analysis of a finite nanoparticle array, in which the transversal dipolar polarizations are excited by a homogenous optical field. Considering the linearly long-range dipole-dipole interaction and the cubic dipole…

Optics · Physics 2014-11-18 Zhijie Mai , Shenhe Fu , Yongyao Li , Xing Zhu , Yikun Liu , Juntao Li

We study discrete surface solitons in semi-infinite, one-dimensional, nonlinear (Kerr), quasiperiodic waveguide arrays of the Fibonacci and Aubry-Andr\'e types, and explore different families of localized surface modes, as a function of…

Pattern Formation and Solitons · Physics 2015-06-03 Alejandro J. Martinez , Mario I. Molina

Matter in nontrivial topological phase possesses unique properties, such as support of unidirectional edge modes on its interface. It is the existence of such modes which is responsible for the wonderful properties of a topological…

Mesoscale and Nanoscale Physics · Physics 2018-09-06 Dmitry R. Gulevich , Dmitry Yudin , Dmitry V. Skryabin , Ivan V. Iorsh , Ivan A. Shelykh
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