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Temporal solitons are optical pulses that arise from the balance of negative group-velocity dispersion and self-phase modulation. For decades only quadratic dispersion was considered, with higher order dispersion thought of as a nuisance.…

Optical solitons in multimode fibers have been predicted 40 years ago and extensively investigated theoretically. Transmission experiments in nonlinear multimode fibers have gained renewed interest, motivated by their potential to extend…

Optics · Physics 2024-04-02 Mario Zitelli

We study the linear stability of the Peregrine breather both numerically and with analytical arguments based on its derivation as the singular limit of a single-mode spatially periodic breather as the spatial period becomes infinite. By…

Exactly Solvable and Integrable Systems · Physics 2018-03-20 Annalisa Calini , Constance M. Schober

We report an optical fiber experiment in which we study nonlinear stage of modulational instability of a plane wave in the presence of a localized perturbation. Using a recirculating fiber loop as experimental platform, we show that the…

Pattern Formation and Solitons · Physics 2019-02-13 Adrien E. Kraych , Pierre Suret , Gennady El , Stephane Randoux

We present a stability analysis of a modified nonlinear Schroedinger equation describing the propagation of ultra-short pulses in negative refractive index media. Moreover, using methods of quantum statistics, we derive a kinetic equation…

Pattern Formation and Solitons · Physics 2007-05-23 M. Marklund , P. K. Shukla , L. Stenflo

An effect of polarization-mode dispersion, nonlinearity and random variation of dispersion along an optical fiber on a pulse propagation in a randomly birefringent dispersion-shifted optical fiber with zero average dispersion is studied. An…

Chaotic Dynamics · Physics 2009-11-10 Pavel M. Lushnikov

We consider the ultrashort light pulse propagation through an inhomogeneous monomodal optical fiber exhibiting higher-order dispersive effects. Wave propagation is governed by a generalized nonlinear Schr\"{o}dinger equation with varying…

Pattern Formation and Solitons · Physics 2020-05-06 Houria Triki , Vladimir I. Kruglov

Pulse broadening for optical solitons due to birefringence is investigated. We present an analytical solution which describes the propagation of solitons in birefringent optical fibers. The special solutions consist of a combination of…

solv-int · Physics 2007-05-23 H. J. S. Dorren , J. J. B. van den Heuvel

We generalise a previously published approach based on a multi-domain spectral method on the whole real line in two ways: firstly, a fully explicit 4th order method for the time integration, based on a splitting scheme and an implicit…

Numerical Analysis · Mathematics 2020-02-17 C. Klein , N. Stoilov

We investigate soliton self-compression and ultraviolet resonant dispersive wave emission in the higher-order modes of a gas-filled hollow capillary fibre. Our simple analytical scaling rules predict shorter required waveguides and…

Optics · Physics 2021-12-02 Christian Brahms , John C. Travers

Higher-order solitons inherently possess a spatial periodicity along the propagation axis. The pulse expands and compresses in both, frequency and time domain. This property is exploited for a bandwidth-limited receiver by sampling the…

Signal Processing · Electrical Eng. & Systems 2023-04-13 Sebastian Jung , Tim Uhlemann , Alexander Span , Maximilian Bauhofer , Stephan ten Brink

We study trapping and propagation of a matter-wave soliton through the interface between uniform medium and a nonlinear optical lattice (NOL). Different regimes for transmission of a broad and a narrow soliton are investigated. Reflections…

Quantum Gases · Physics 2015-05-13 Fatkhulla Kh. Abdullaev , Ravil M. Galimzyanov , Marijana Brtka , Lauro Tomio

In the present paper, a unique semiconductor doped glass photonic crystal fiber has been designed which is suitable for soliton propagation at sub pico-Joule energy. The fiber promises to yield low and uniform anomalous dispersion profile…

Optics · Physics 2018-12-12 Mohit Sharma , D. Vigneswaran , Julia S. Skibina , Vinoth Kumar , S. Konar

Coherent dispersive wave emission, as an important phenomenon of soliton dynamics, manifests itself in multiple platforms of nonlinear optics from fibre waveguides to integrated photonics. Limited by its resonance nature, efficient…

We study the wave propagation in nonlinear electrodynamical models. Particular attention is paid to the derivation and the analysis of the Fresnel equation for the wave covectors. For the class of general nonlinear Lagrangian models, we…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Yuri N. Obukhov , Guillermo F. Rubilar

We present optical fiber experiments investigating the perturbed, non-integrable evolution of soliton gases (SGs) under weak linear damping and gain. By measuring the amplitude and phase of the optical field in a recirculating loop, we…

Pattern Formation and Solitons · Physics 2025-03-18 Loic Fache , Francois Copie , Pierre Suret , Stéphane Randoux

In this article we propose a generalization of the theory of diffusion approximation for random ODE to a nonlinear system of random Schr\"{o}dinger equations. This system arises in the study of pulse propagation in randomly birefringent…

Analysis of PDEs · Mathematics 2012-12-14 A. de Bouard , M. Gazeau

We have investigated the nonlinear amplitude vector equation governing the evolution of optical pulses in optical and UV region. We are normalizing this equation for the cases of different and equal transverse and longitudinal size of…

Pattern Formation and Solitons · Physics 2015-06-26 L. M. Kovachev , L. M. Ivanov , D. Y. Dakova , L. I. Pavlov , K. L. Kovachev

We propose a novel method based on the so-called shortcut to adiabatic passage techniques to achieve fast compression of temporal solitons in a nonlinear waveguide. We demonstrate that soliton compression could be achieved, in principle, at…

Optics · Physics 2018-05-23 Koushik Paul , Amarendra K. Sarma

Optical rogue waves and its variants have been studied quite extensively in the context of optical fiber in recent years. It has been realized that dispersion management in optical fiber is experimentally much more feasible compared to its…