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The propagation of linear and nonlinear edge modes in bounded photonic honeycomb lattices formed by an array of rapidly varying helical waveguides is studied. These edge modes are found to exhibit strong transmission (reflection) around…

Optics · Physics 2023-07-19 Mark J. Ablowitz , Yi-Ping Ma

We derive the equations governing the motion of Kerr solitons in pair waveforms. Recent experiments in microresonators have studied a variety of interaction effects in multisoliton waveforms, including collisions and formation of soliton…

Pattern Formation and Solitons · Physics 2025-07-11 Amir Leshem , Sanzida Akter , Logan Courtright , Pradyoth Shandilya , Curtis R. Menyuk , Omri Gat

Spatiotemporal mode-locking in a laser with anomalous dispersion is investigated. Mode-locked states with varying modal content can be observed, but we find it difficult to observe highly multimode states. We describe the properties of…

Optics · Physics 2022-10-12 Yuhang Wu , Demetrios N. Christodoulides , Frank W. Wise

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

Nonlocality is a key feature of many physical systems since it prevents a catastrophic collapse and a symmetry-breaking azimuthal instability of intense wave beams in a bulk self-focusing nonlinear media. This opens up an intriguing…

Pattern Formation and Solitons · Physics 2017-02-16 V. M. Biloshytskyi , A. O. Oliynyk , P. M. Kruglenko , A. S. Desyatnikov , A. I. Yakimenko

We introduce a novel class of stable nonlinear modes trapped in a lower-index film core sandwiched between two optical lattices, or in the cylindrical core of a radial lattice, imprinted in defocusing media. Such family of nonlinear modes…

We reveal the existence of asymmetric vortex solitons in ideally symmetric periodic lattices, and show how such nonlinear localized structures describing elementary circular flows can be analyzed systematically using the energy-balance…

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 address the problem of existence and stability of vector spatial solitons formed by two incoherently interacting optical beams in bulk Kerr and saturable media. We identify families of (2+1)-dimensional two-mode self-trapped beams, with…

We demonstrate a robust, stable, mobile, two-dimensional (2D) spatial and three-dimensional (3D) spatiotemporal optical soliton in the core of an optical vortex, while all nonlinearities are of the cubic (Kerr) type. The 3D soliton can…

Pattern Formation and Solitons · Physics 2015-11-03 S. K. Adhikari

The Kerr nonlinearity allows for exact analytic soliton solutions in 1+1D. While nothing excludes that these solitons form in naturally-occurring real-world 3D settings as solitary walls or stripes, their observation has previously been…

Pattern Formation and Solitons · Physics 2025-12-05 Ludovica Falsi , Alberto Villois , Francesco Coppini , Aharon J. Agranat , Eugenio DelRe , Stefano Trillo

We study spatial vector solitons in a photonic crystal fiber (PCF) made of a material with the focusing Kerr nonlinearity. We show that such two-component localized nonlinear waves consist of two mutually trapped components confined by the…

Pattern Formation and Solitons · Physics 2007-05-23 Jose R. Salgueiro , Yuri S. Kivshar , Dmitry E. Pelinovsky , Veronica Simon , Humberto Michinel

We study two-component spatial optical solitons carrying an angular momentum and propagating in a self-focusing saturable nonlinear medium. When one of the components is small, such vector solitons can be viewed as a self-trapped vortex…

Pattern Formation and Solitons · Physics 2009-11-10 Jose R. Salgueiro , Yuri S. Kivshar

The possibility of generation and propagation of ultraslow bright optical solitons in asymmetric three-coupled quantum well systems is studied in this paper. These bright solitons owe their existence to Kerr and quintic nonlinearities which…

Optics · Physics 2012-07-16 S. Shwetanshumala , S. Konar , Anjan Biswas

We propose a spinning nonlinear resonator as an experimentally accessible platform to achieve nonreciprocal control of optical solitons. Nonreciprocity here results from the relativistic Sagnac-Fizeau optical drag effect, which is different…

Optics · Physics 2021-06-02 Baijun Li , Şahin. K. Özdemir , Xun-Wei Xu , Lin Zhang , Le-Man Kuang , Hui Jing

We consider the propagation of solitons in media with an imprinted transverse periodic or parabolic refractive index modulation when the modulation depth slightly fluctuates along the propagation direction. We find that, under suitable…

Optics · Physics 2015-05-13 Yaroslav V. Kartashov , Victor A. Vysloukh , Lluis Torner

Metals such as silver support surface plasmons: electromagnetic surface excitations localised near the surface which originate from the free electrons of the metal. Surface modes are also observed on highly conducting surfaces perforated by…

Optics · Physics 2025-07-08 JB Pendry , L Martin-Moreno , FJ Garcia-Vidal

Using the numerical solution of the nonlinear Schr\"odinger equation and a variational method it is shown that (3+1)-dimensional spatiotemporal optical solitons, known as light bullets, can be stabilized in a layered Kerr medium with…

Pattern Formation and Solitons · Physics 2009-11-10 Sadhan K. Adhikari

The subject of the work is the stabilization of two-dimensional (2D) two-component (vector) solitons, in media with the attractive cubic nonlinearity, against the collapse by a linear lattice (LL, which is induced by a periodic modulation…

Optics · Physics 2015-05-20 Olga V. Borovkova , Boris A. Malomed , Yaroslav V. Kartashov

We develop the analytical method of field momenta for analyzing the dynamics of optical vector solitons in photorefractive nonlinear media. First, we derive the effective evolution equations for the parameters of multi-component solitons…

Pattern Formation and Solitons · Physics 2007-05-23 Ilya Shadrivov , Alexander A. Zharov
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