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We derive phase-matching conditions for four-wave mixing between solitons and linear waves in optical fibres with arbitrary dispersion and demonstrate resonant excitation of new spectral components via this process.

Optics · Physics 2007-05-23 A. V. Yulin , D. V. Skryabin , P. St. J. Russell

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 study the motion of bright matter wave solitons in nonlinear potentials, produced by periodic or random spatial variations of the atomic scattering length. We obtain analytical results for the soliton motion, the radiation of matter…

Other Condensed Matter · Physics 2009-11-11 Fatkhulla Kh. Abdullaev , Josselin Garnier

We demonstrate that trapping of dispersive waves between two optical solitons takes place when resonant scattering of the waves on the solitons leads to nearly perfect reflections. The momentum transfer from the radiation to solitons…

Optics · Physics 2016-12-21 A. V. Yulin , R. Driben , B. A. Malomed , D. V. Skryabin

Solitons are non-dispersive wave solutions that arise in a diverse range of nonlinear systems, stablised by a focussing or defocussing nonlinearity. First observed in shallow water, solitons have subsequently been studied in many other…

Atomic Physics · Physics 2015-06-12 A. L. Marchant , T. P. Billam , T. P. Wiles , M. M. H. Yu , S. A. Gardiner , S. L. Cornish

Nonlinear optical wave propagation manifests in a multitude of frequencies generated from quantum-noise, and selecting desired nonlinear products usually requires seeding the medium with extraneous waves, employing spatial or spectral…

Optics · Physics 2019-03-06 Lars Rishøj , Boyin Tai , Poul Kristensen , Siddharth Ramachandran

The nonlinear propagation of light pulses in liquid-filled photonic crystal fibers is considered. Due to the slow reorientational nonlinearity of some molecular liquids, the nonlinear modes propagating inside such structures can be…

We introduce a system combining the quadratic self-attractive or composite quadratic-cubic nonlinearity, acting in the combination with the fractional diffraction, which is characterized by its L\'{e}vy index $\alpha $. The model applies to…

We demonstrate that an array of discrete waveguides on a slab substrate, both featuring the $\chi^{2}$ nonlinearity, supports stable solitons composed of discrete and continuous components. Two classes of fundamental composite solitons are…

Pattern Formation and Solitons · Physics 2009-11-11 Nicolae C. Panoiu , Richard M. Osgood , Boris A. Malomed

We study the properties of surface solitons generated at the edge of a semi-infinite photonic lattice in nonlinear quadratic media, namely two-color surface lattice solitons. We analyze the impact of phase mismatch on existence and…

Optics · Physics 2009-11-13 Zhiyong Xu , Yuri S. Kivshar

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

Fundamental and vortex solitons in a two-dimensional optically induced waveguide array are reported. In the strong localization regime, the fundamental soliton is largely confined to one lattice site, while the vortex state comprises of…

Optics · Physics 2009-11-10 Jianke Yang , Ziad Musslimani

We propose a hybrid soliton-based system consisting of a centrosymmetric photorefractive crystal, supporting photorefractive solitons, coupled to a vertical cavity surface emitting laser, supporting multistable cavity solitons. The…

The properties of vector vortex beams in vertical-cavity-surface emitting lasers with frequency-selective feedback is investigated. They are interpreted as high-order vortex solitons with a spatially non-uniform, but locally linear…

Pattern Formation and Solitons · Physics 2022-10-27 T. Ackemann , T. Guillet , H. Pulham , G. -L. Oppo

We address light propagation in Vogel optical lattices and show that such lattices support a variety of stable soliton solutions in both self-focusing and self-defocusing media, whose propagation constants belong to domains resembling gaps…

Optics · Physics 2015-06-12 Yaroslav V. Kartashov , Victor A. Vysloukh , Lluis Torner

Optical solitons are self-sustained wave packets that propagate without distortion due to a balance between dispersion and nonlinearity. Their unique stability underpins key photonic applications while also playing a central role in…

Pattern Formation and Solitons · Physics 2025-12-04 François Copie , Pierre Suret , Stéphane Randoux

Quantum nonlinear optics is a quickly growing field with large technological promise, at the same time involving complex and novel many-body phenomena. In the usual scenario, optical nonlinearities originate from the interactions between…

Quantum Gases · Physics 2019-05-13 Kieran A. Fraser , Francesco Piazza

Motivated by recent experimental achievement in the work with Bose-Einstein condensates (BECs), we consider bright matter-wave solitons, in the presence of a parabolic magnetic trap and a spatially periodic optical lattice (OL), in the…

Other Condensed Matter · Physics 2010-12-10 P. G. Kevrekidis , D. J. Frantzeskakis , R. Carretero-Gonzalez , B. A. Malomed , G. Herring , A. R. Bishop

We introduce multipole soliton complexes in optical lattices induced by nondiffracting parabolic beams. Despite the symmetry-breaking dictated by the curvature of the lattice channels, we find that complex, asymmetric higher-order states…

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

We show that solitons undergo a strong blue shift in fibers with a dispersion landscape that varies along the direction of propagation. The experiments are based on a small-core photonic crystal fiber, tapered to have a core diameter that…

Optics · Physics 2015-05-20 S. P. Stark , A. Podlipensky , P. St. J. Russell