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We report the coexistence and properties of stable compact localized states (CLSs) and discrete solitons (DSs) for nonlinear spinor waves on a flatband network with spin-orbit coupling (SOC). The system can be implemented by means of a…

Pattern Formation and Solitons · Physics 2016-11-23 G. Gligorić , A. Maluckov , Lj. Hadžievski , S. Flach , B. Malomed

A distributed Kerr-lens mode locking regime can be realized in a waveguide laser by spatial profiling of the pump beam, thus creating a spatio-temporal soliton. Additional slow temporal modulation of the pump source stabilizes the…

Optics · Physics 2024-08-13 Vladimir L. Kalashnikov , Evgeni Sorokin , Irina T. Sorokina

Quantum Cascade Lasers (QCL) constitute an intriguing opportunity for the production of on-chip optical Dissipative Kerr Solitons (DKS): self-organized optical waves which can travel while preserving their shape thanks to the interplay…

Among the many families of nonperiodic tilings known so far, SCD tilings are still a bit mysterious. Here, we determine the diffraction spectra of point sets derived from SCD tilings and show that they have no absolutely continuous part,…

Mathematical Physics · Physics 2014-09-30 Michael Baake , Dirk Frettlöh

We report the existence of vectorial dark dissipative solitons in optical cavities subject to a coherently injected beam. We assume that the resonator is operating in a normal dispersion regime far from any modulational instability. We show…

Pattern Formation and Solitons · Physics 2021-07-29 B. Kostet , S. S. Gopalakrishnan , E. Averlant , Y. Soupart , K. Panajotov , M. Tlidi

Soliton microcombs based on Kerr nonlinearity in microresonators have been a prominent miniaturized coherent light source. Here, for the first time, we demonstrate the existence of Kerr solitons in an optomechanical microresonator, for…

We demonstrate that crossed arrays of optical fibers support the double-discrete linear and nonlinear propagation of light beams, in which not only the transverse coordinate (the fiber's number) is discrete, but also the longitudinal…

Optics · Physics 2015-06-16 Kestutis Staliunas , Boris Malomed

We consider an array of double oligomers in an optical waveguide device. A mathematical model for the system is the coupled discrete nonlinear Schr\"odinger (NLS) equations, where the gain-and-loss parameter contributes to the…

Pattern Formation and Solitons · Physics 2020-10-22 O. B. Kirikchi , N. Karjanto

We consider dark solitons and their stability in spin-orbit coupled polariton condensates. The system supports spinor solitons of two types: conventional (symmetric) dark solitons and asymmetric half-dark solitons. They demonstrate…

Mesoscale and Nanoscale Physics · Physics 2018-09-25 Dmitry A. Zezyulin , Yaroslav V. Kartashov

We introduce a model of media with the cubic attractive nonlinearity concentrated along a single or double stripe in the two-dimensional (2D) plane. The model can be realized in terms of nonlinear optics (in the spatial and temporal domains…

Pattern Formation and Solitons · Physics 2010-06-21 Nguyen Viet Hung , Pawe\lZiń , Marek Trippenbach , Boris A. Malomed

We introduce a 2D network built of $\mathcal{PT}$-symmetric dimers with on-site cubic nonlinearity, the gain and loss elements of the dimers being linked by parallel square-shaped lattices. The system may be realized as a set of…

Optics · Physics 2015-06-23 Zhaopin Chen , Jingfeng Liu , Shenhe Fu , Yongyao Li , Boris A. Malomed

We numerically study Stokes beam generation in an array of discrete waveguides. The feasibility of generation and steering of spatial solitons due to nonlinear Raman response is demonstrated for the first time

Pattern Formation and Solitons · Physics 2007-05-23 Clark A. Merchant , Igor V. Mel'nikov , J. Stewart Aitchison

Optical solitons in multimode nonlinear optical systems offer a unique platform for exploring the interplay of nonlinearity, dispersion, and spatial mode coupling, offering insights into complex nonlinear wave phenomena. Multi-pass cavities…

Optics · Physics 2025-09-01 Junhan Huang , Bingbing Zhu , Shanyue Li , Kun Ding , Zhensheng Tao

Temporal cavity solitons (CSs) are pulses of light that can persist endlessly in dispersive, nonlinear optical resonators. They have been extensively studied in the context of resonators with purely cubic (Kerr-type) nonlinearity that are…

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 propose the modulation of dispersion to prevent collapse of planar pulsed beams which propagate in Kerr-type self-focusing optical media. As a result, we find a new type of two-dimensional spatio-temporal solitons stabilized by…

Pattern Formation and Solitons · Physics 2009-11-10 Maria I. Rodas-Verde , Gaspar D. Montesinos , Humberto Michinel , Victor M. Perez-Garcia

We report results of the study of solitons in a system of two nonlinear-Schrodinger (NLS) equations coupled by the XPM interaction, which models the co-propagation of two waves in metamaterials(MMs). The same model applies to photonic…

Pattern Formation and Solitons · Physics 2015-05-14 Peter Y. P. Chen , Boris A. Malomed

Within the curl-curl type vector equation describing a monochromatic light wave in a focusing Kerr medium, the transverse structure of extremely narrow, linearly polarized self-focused optical beams is found numerically with a high…

Optics · Physics 2026-02-10 Victor P. Ruban

We theoretically and experimentally investigate the formation of dissipative coherent structures in Kerr nonlinear optical microresonators, whose integrated dispersion exceeds the free-spectral range. We demonstrate that the presence of any…

The peculiar topological properties of Weyl semimetals (WSMs) lead to unusual and unique optical properties. We investigate novel features of surface plasmon polaritons (SPPs) in a slot waveguide comprised of two semi-infinite WSMs with…

Mesoscale and Nanoscale Physics · Physics 2020-04-06 S. Oskoui Abdol , B. Abdollahipour , A. Soltani Vala
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