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Related papers: Optical solitons in graded-index multimode fiber

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We analyze two-component spatial optical vortex solitons supported by parametric wave mixing processes in a nonlinear bulk medium. We study two distinct cases of such localised waves, namely, parametric vortex solitons due to phase-matched…

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

Solitons, defined as nonlinear waves which can reflect from boundaries or transmit through each other, are found in conservative, fully integrable systems. Similar phenomena, dubbed quasi-solitons, have been observed also in dissipative,…

Pattern Formation and Solitons · Physics 2016-08-08 V. N. Biktashev , M. A. Tsyganov

We provide a complete analysis, from theory to experiment, of the spontaneous emergence of a discretized conical wave of X-type (i.e., a localized 2D+1 space-time wavepacket) when an intense ultrashort pulse nonlinearly propagates in a…

Spatial division multiplexing utilizes the directionality of lights propagating k-vector to separate it into distinct spatial directions. Here we show that the anisotropy of orthogonal spatial Solitons propagating in a single Graphene…

Mesoscale and Nanoscale Physics · Physics 2017-04-05 Jonathan K. George , Volker J. Sorger

Optical propagation and vortices in nonlinear media have been intensively studied in modern optical physics. In this paper, we establish constraints regarding the propagation constant and provide an existence theory and numerical…

Analysis of PDEs · Mathematics 2023-05-23 Tianyi Zhang , Luciano Medina , Zihan Zhang

The effect of dispersion or diffraction on zero-velocity solitons is studied for the generalized massive Thirring model describing a nonlinear optical fiber with grating or parallel-coupled planar waveguides with misaligned axes. The…

Optics · Physics 2009-10-31 Alan R Champneys , Boris A Malomed , Mark J friedman

When a laser cavity supports the propagation of several ultrashort pulses, these pulses interact and can form compact bound states called soliton molecules. Soliton molecules are fascinating objects of nonlinear science, which present…

Optics · Physics 2022-11-08 Youjian Song , Defeng Zou , Omri Gat , Minglie Hu , Philippe Grelu

We propose a physical method for controlling soliton eigenvalues in optical fibers, which is realized through the interaction between circularly polarized lights. Using this method, we not only achieve the decomposition of high-order…

Optics · Physics 2025-06-10 Peng Gao , Xiaofang Wang , Sha An , Kai Wen , Juanjuan Zheng , Tanping Li , Peng Gao

Soliton crystals are periodic patterns of multi-spot optical fields formed from either time or space entanglements of equally separated identical high-intensity pulses. These specific nonlinear optical structures have gained interest in…

Optics · Physics 2018-03-21 Rodrigues D. Dikande Bitha , Alain M. Dikande

Optical pulses propagating in multimode optical fibers are affected by linear disorder and nonlinearity, and experience chaotic exchange of power among modes. On the other hand, complex systems can attain steady states characterized by…

Optics · Physics 2023-06-29 Mario Zitelli , Fabio Mangini , Stefan Wabnitz

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

We investigate wavelet-like localized solutions in nonlinear waveguides, enabled by complementary propagation constants embedded in domains of anomalous dispersion. They are carrier-envelope-phase stable and independent of fine details of…

Optics · Physics 2024-10-10 O. Melchert , A. Demircan

Soliton molecules, bound states of two solitons, can be important for the informatics using solitons and the quest for exotic particles in a wide range of physical systems from unconventional superconductors to nuclear matter and Higgs…

Materials Science · Physics 2023-08-11 Taehwan Im , Sun Kyu Song , Jae Whan Park , Han Woong Yeom

We introduce a novel class of parametric optical solitons supported simultaneously by two second-order nonlinear cascading processes, second-harmonic generation and sum-frequency mixing. We obtain, analytically and numerically, the…

patt-sol · Physics 2019-08-17 Yuri S. Kivshar , Tristram J. Alexander , Solomon Saltiel

Beam self-imaging in nonlinear graded-index multimode optical fibers is of interest for many applications, such as implementing a fast saturable absorber mechanism in fiber lasers via multimode interference. We obtain an exact solution for…

We consider the coupled propagation of an optical field and its second harmonic in a quadratic nonlinear medium governed by a coupled system of Schrodinger equations. We prove the existence of ring-profiled optical vortex solitons appearing…

Mathematical Physics · Physics 2025-06-23 Luciano Medina

A stable nonlinear wave packet, self-localized in all three dimensions, is an intriguing and much sought after object in nonlinear science in general and in nonlinear photonics in particular. We report on the experimental observation of…

Pattern Formation and Solitons · Physics 2017-02-01 F. Gustave , N. Radwell , C. McIntyre , J. P. Toomey , D. M. Kane , S. Barland , W. J. Firth , G. -L. Oppo , T. Ackemann

We develop the scheme of dispersion management (DM) for three-dimensional (3D) solitons in a multimode optical fiber. It is modeled by the parabolic confining potential acting in the transverse plane in combination with the cubic…

With the increased transverse mode degrees of freedom, spatiotemporal mode-locked (STML) fiber lasers exhibit more intricate and richer nonlinear dynamics, making them an ideal platform for studying complex nonlinear phenomena. However,…