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We report on the experimental observation of two-dimensional solitons located in a defect channel at the surface of a hexagonal waveguide array. The threshold power for the excitation of defect surface solitons existing due to total…

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…

We experimentally demonstrate the formation and stable propagation of various types of discrete temporal solitons in an optical fiber system. Pulses interacting with a time-periodic potential and defocusing nonlinearity are shown to form…

Pattern Formation and Solitons · Physics 2012-08-31 Christoph Bersch , Georgy Onishchukov , Ulf Peschel

Discrete fundamental and dipole solitons are constructed, in an exact analytical form, in an array of linear waveguides with an embedded $\mathcal{PT}$-symmetric dimer, which is composed of two nonlinear waveguides carrying equal gain and…

We consider linear and nonlinear modes pinned to a grating-free (gapless) layer placed between two symmetric or asymmetric semi-infinite Bragg gratings (BGs), with a possible phase shift between them, in a medium with the uniform Kerr…

Optics · Physics 2015-06-24 Thawatchai Mayteevarunyoo , Boris A. Malomed

Gap solitons are localized nonlinear coherent states which have been shown both theoretically and experimentally to propagate in periodic structures. Although theory allows for their propagation at any speed $v$, $0\le v\le c$, they have…

Pattern Formation and Solitons · Physics 2009-11-07 R. H. Goodman , R. E. Slusher , M. I. Weinstein

The lower branch of the dispersion relation of exciton polaritons in semiconductor microcavities, operating in the strong-coupling regime, contains sections of both positive and negative curvature along one spatial direction. We show that…

Other Condensed Matter · Physics 2015-05-13 O. A. Egorov , D. V. Skryabin , A. V. Yulin , F. Lederer

We report a rich spectrum of isolated solitons residing inside ({\it embedded } into) the continuous radiation spectrum in a simple model of three-wave spatial interaction in a second-harmonic-generating planar optical waveguide equipped…

Optics · Physics 2016-09-08 Alan R. Champneys , Boris A. Malomed

We report results of a systematic study of one-dimensional four-wave moving solitons in a recently proposed model of the Bragg cross-grating in planar optical waveguides with the Kerr nonlinearity; the same model applies to a fiber Bragg…

Pattern Formation and Solitons · Physics 2009-11-10 T. Mayteevarunyoo , Boris A. Malomed , P. L. Chu , A. Roeksabutr

We demonstrate a simple method for controlling nonlinear switching of discrete solitons in arrays of weakly coupled optical waveguides, for both cubic and uadratic nonlinearities. Based on the effective discrete nonlinear equations…

Optics · Physics 2009-11-10 R. A. Vicencio , M. I. Molina , Y. S. Kivshar

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 predict that stable mobile spatio-temporal solitons can exist in arrays of periodically curved optical waveguides. We find two-dimensional light bullets in one-dimensional arrays with harmonic waveguide bending and three-dimensional…

A dispersion-managed optical system with step-wise periodical variation of dispersion is studied in a strong dispersion map limit in the framework of path-averaged Gabitov-Turitsyn equation. The soliton solution is obtained by iterating the…

Pattern Formation and Solitons · Physics 2009-11-07 P. M. Lushnikov

We address the existence and properties of optical solitons excited in thermal nonlinear media with a transverse refractive index gradient. We show that in such a geometry one can generate controllable switching from surface soliton…

Optics · Physics 2015-05-14 Fangwei Ye , Yaroslav V. Kartashov , Bambi Hu , Lluis Torner

We address the concept of guiding and transporting matter-wave solitons along the channels of optical lattices made by interference patterns of beams containing topological wavefront dislocations. The local lattice distortions that occur…

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

A new type of soliton with controllable speed is constructed generalizing the theory of slow-light propagation to an integrable regime of nonlinear dynamics. The scheme would allow the quantum-information transfer between optical solitons…

Quantum Physics · Physics 2007-05-23 Ulf Leonhardt

We study the effect of lifting the degeneracy of vortex modes with a PT symmetric defect, using discrete vortices in a circular array of nonlinear waveguides as an example. When the defect is introduced, the degenerate linear vortex modes…

Optics · Physics 2013-12-11 Daniel Leykam , Vladimir V. Konotop , Anton S. Desyatnikov

We study the properties of linear and nonlinear waveguides induced by optical vortex solitons in both self-defocusing and self-focusing nonlinear media, for the case of a saturable nonlinear response. We demonstrate that the vortex-induced…

Pattern Formation and Solitons · Physics 2007-05-23 José R. Salgueiro , Yuri S. Kivshar

We address the properties of two-dimensional surface solitons supported by the interface of a waveguide array whose nonlinearity is periodically modulated. When the nonlinearity strength reaches its minima at the points where the linear…

Gapless spectrum of graphene allows easy spatial separation of electrons and holes with an external in-plane electric field. Guided collective plasmon modes can propagate along the separation line, whose amplitude decays with the distance…

Mesoscale and Nanoscale Physics · Physics 2012-05-23 N. M. Hassan , V. V. Mkhitaryan , E. G. Mishchenko