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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 study families of solitons in a two-dimensional (2D) model of the light transmission through a photorefractive medium equipped with a (quasi-)one-dimensional photonic lattice. The soliton families are bounded from below by finite minimum…

Pattern Formation and Solitons · Physics 2009-11-11 Thawatchai Mayteevarunyoo , Boris A. Malomed

We investigate the existence and stability of gap solitons in a double-core optical fiber, where one core has the Kerr nonlinearity and the other one is linear, with the Bragg grating (BG) written on the nonlinear core, while the linear one…

Pattern Formation and Solitons · Physics 2009-10-31 Javid Atai , Boris A. Malomed

Topological materials exhibit properties dictated by quantised invariants that make them robust against perturbations. This topological protection is a universal wave phenomenon that applies not only in the context of electrons in…

Optics · Physics 2020-05-26 Sebabrata Mukherjee , Mikael C. Rechtsman

Parametrically driven solitons are self-trapped modes in various physical settings, including optics, magnetics, etc. So far, the analysis was focused on the existence, stability, and dynamics of such solitons in systems including the…

We study dark solitons near potential and nonlinearity steps and combinations thereof, forming rectangular barriers. This setting is relevant to the contexts of atomic Bose-Einstein condensates (where such steps can be realized by using…

Quantum Gases · Physics 2016-12-21 F. Tsitoura , Z. A. Anastassi , J. L. Marzuola , P. G. Kevrekidis , D. J. Frantzeskakis

We discuss the formation of self-trapped localized states near the edge of a semi-infinite array of nonlinear waveguides. We study a crossover from nonlinear surface states to discrete solitons by analyzing the families of odd and even…

Pattern Formation and Solitons · Physics 2009-11-11 M. I. Molina , R. A. Vicencio , Y. S. Kivshar

We theoretically study bright and dark solitons in an experimentally relevant hybrid system characterized by strong light-matter coupling. We find that the corresponding two-component model supports a variety of coexisting moving solitons…

Pattern Formation and Solitons · Physics 2022-10-11 A. V. Yulin , D. A. Zezyulin

Light propagation in optical waveguides with periodically modulated index of refraction and alternating gain and loss are investigated for linear and nonlinear systems. Based on a multiscale perturbation analysis, it is shown that for many…

Optics · Physics 2015-06-23 Sean Nixon , Jianke Yang

We use a phenomenological Hamiltonian approach to derive a set of coupled mode equations that describe light propagation in waveguides that are periodically side-coupled to microcavities. The structure exhibits both Bragg gap and (polariton…

Optics · Physics 2009-11-11 Philip Chak , Suresh Pereira , J. E. Sipe

Topological soliton is a nonperturbative excitation in commensurate density wave states and connects degenerate ground states. In incommensurate density wave states, ground states are continuously degenerate and topological soliton is…

Mesoscale and Nanoscale Physics · Physics 2021-09-22 Xiao-Xiao Zhang , Dirk Manske , Naoto Nagaosa

In this paper, the localized surface modes in a defective multilayer structure has been investigated. It is shown that the defective multilayer structures can support two different kind of localized modes depending on the position and the…

Optics · Physics 2013-05-29 S. Roshan Entezar , A. Namdar

Topological solitons are relevant in several areas of physics [1]. Recently, these configurations have been investigated in contexts as diverse as hydrodynamics [2], Bose-Einstein condensates [3], ferromagnetism [4], knotted light [5] and…

Mathematical Physics · Physics 2016-10-12 Miguel Bezares , Érico Goulart , Gonzalo Palomera , Daniel J. Pons , Enrique G. Reyes

Edge states emerge in diverse areas of science, offering new opportunities for the development of novel electronic or optoelectronic devices, sound and light propagation controls in acoustics and photonics. Previous experiments on edge…

We report dissipative surface solitons forming at the interface between a semi-infinite lattice and a homogeneous Kerr medium. The solitons exist due to balance between amplification in the near-surface lattice channel and two-photon…

We investigate the existence and stability of gap vortices and multi-pole gap solitons in a Kagome lattice with a defocusing nonlinearity both in a discrete case and in a continuum one with periodic external modulation. In particular,…

Pattern Formation and Solitons · Physics 2015-05-13 K. J. H. Law , Avadh Saxena , P. G. Kevrekidis , A. R. Bishop

The response of a passive mode-locking mechanism, where gain and spectral filtering are saturated with the energy and loss saturated with the power, is examined under the presence of higher order effects. These include third order…

Optics · Physics 2015-06-22 Theodoros P. Horikis , Mark J. Ablowitz

We report that defocusing cubic media with spatially inhomogeneous nonlinearity, whose strength increases rapidly enough toward the periphery, can support stable bright localized modes. Such nonlinearity landscapes give rise to a variety of…

We address the existence and properties of one-dimensional solitons maintained by localized parameter gain in focusing and defocusing lossy nonlinear media. Localized parametric gain supports both fundamental and multipole solitons. We…

Topological photonics sheds light on some of the surprising phenomena seen in condensed matter physics that arise with the appearance of topological invariants. Optical waveguides provide a well-controlled platform to investigate effects…

Mesoscale and Nanoscale Physics · Physics 2020-09-16 Adrian J Menssen , Jun Guan , David Felce , Martin J Booth , Ian A Walmsley