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Related papers: Soliton modes, stability, and drift in optical lat…

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We present a brief overview of the basic concepts of the soliton stability theory and discuss some characteristic examples of the instability-induced soliton dynamics, in application to spatial optical solitons described by the NLS-type…

Pattern Formation and Solitons · Physics 2018-04-23 Yuri S. Kivshar , Andrey A. Sukhorukov

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 demonstrate theoretically and experimentally that the transverse instability of coherent soliton stripes can be greatly suppressed or totally eliminated when the soliton stripes propagate in a one-dimensional photonic lattice under…

Optics · Physics 2012-05-04 Jianke Yang , Daniel Gallardo , Alexandra Miller , Zhigang Chen

We reveal and observe experimentally significant modifications undertaken by discrete solitons in waveguide lattices upon the continuous transformation of the lattice structure from one-dimensional to two-dimensional. Light evolution and…

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

The dynamics of light beams in the nonlinear optical media with periodically modulated in the longitudinal direction parity-time distribution of the complex refractive index is investigated. The possibility of dynamical stabilization of…

Pattern Formation and Solitons · Physics 2018-02-14 F. Kh. Abdullaev , R. M. Galimzyanov

We analyze the transverse instabilities of spatial bright solitons in nonlocal nonlinear media, both analytically and numerically. We demonstrate that the nonlocal nonlinear response leads to a dramatic suppression of the transverse…

Optics · Physics 2009-11-13 YuanYao Lin , Ray-Kuang Lee , Yuri S. Kivshar

We address the impact of nonlocality in the physical features exhibited by solitons supported by Kerr-type nonlinear media with an imprinted optical lattice. We discover that nonlocality of nonlinear response can profoundly affect the…

Pattern Formation and Solitons · Physics 2009-11-11 Zhiyong Xu , Yaroslav V. Kartashov , Lluis Torner

We analyze the existence and stability of bright, dark, and gap matter-wave solitons in optical superlattices. Then, using these properties, we show that (time-dependent) ``dynamical superlattices'' can be used to controllably place, guide,…

Other Condensed Matter · Physics 2016-08-16 Mason A. Porter , P. G. Kevrekidis , R. Carretero-González , D. J. Frantzeskakis

We study spatial optical solitons in a one-dimensional nonlinear photonic crystal created by an array of thin-film nonlinear waveguides, the so-called Dirac-comb nonlinear lattice. We analyze modulational instability of the extended…

Pattern Formation and Solitons · Physics 2007-05-23 Andrey A. Sukhorukov , Yuri S. Kivshar

We address the formation and propagation of multi-spot soliton packets in saturable Kerr nonlinear media with an imprinted harmonic transverse modulation of the refractive index. We show that, in sharp contrast to homogeneous media where…

Optics · Physics 2009-11-10 Yaroslav V. Kartashov , Victor A. Vysloukh , Lluis Torner

We report on the experimental observation of two-dimensional solitons at the interface between square and hexagonal waveguide arrays. In addition to the different symmetry of the lattices, the influence of a varying refractive index…

The existence and stability of stable bright solitons in one-dimensional (1D) media with a spatially periodical modulated Kerr nonlinearity are demonstrated by means of the linear-stability analysis and in direct numerical simulations. The…

Pattern Formation and Solitons · Physics 2019-09-24 Liangwei Zeng , Jianhua Zeng

While fundamental-mode discrete solitons have been demonstrated with both self-focusing and defocusing nonlinearity, high-order-mode localized states in waveguide lattices have been studied thus far only for the self-focusing case. In this…

Pattern Formation and Solitons · Physics 2009-11-11 P. G. Kevrekidis , H. Susanto , Z. Chen

The light ray of a spatial soliton in an optical film whose refractive index is smoothly modulated (wavelength much larger than the typical soliton width) in both spatial directions is shown to possess chaotic regimes for which the…

Pattern Formation and Solitons · Physics 2015-05-14 Ramaz Khomeriki , Jerome Leon

We study, both theoretically and experimentally, the transverse modulational instability of spatial stripe solitons in anisotropic nonlocal photorefractive media. We demonstrate that the instability scenarios depend strongly on the stripe…

Pattern Formation and Solitons · Physics 2009-11-10 Kristian Motzek , Friedemann Kaiser , Wen-Hen Chu , Ming-Feng Shih , Yuri Kivshar

We study experimentally the Bloch-wave instabilities in optically-induced lattices. We reveal two different instability scenarios associated with either the transverse modulational instability of a single Bloch wave, or the nonlinear…

Pattern Formation and Solitons · Physics 2007-05-23 Dragomir Neshev , Andrey A. Sukhorukov , Yuri S. Kivshar , Wieslaw Krolikowski

We discover the existence of vortex solitons supported by the surface between two optical lattices imprinted in Kerr-type nonlinear media. Such solitons can feature strongly noncanonical profiles, and we found that their properties are…

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

We address the existence and stability of two-dimensional solitons in optical or matter-wave media, which are supported by purely nonlinear lattices in the form of a periodic array of cylinders with self-focusing nonlinearity, embedded into…