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Related papers: Harnessing and control of optical rogue waves in s…

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We propose theoretically a method for the control of the frequency of the nonlinear optical response of a model nonlinear medium driven by an electric field and suggest an experimental realization on the basis of isotropic LiF, or NaCl…

Optics · Physics 2013-09-18 L. Chotorlishvili , A. Sukhov , S. Wimberger , J. Berakdar

This work presents two distinct approaches to estimating the exponent related to the distribution of optical rogue waves observed in supercontinuum generated in a single-mode fiber, that is, to quantifying the rogueness. The first is a…

High-harmonic generation is one of the most extreme nonlinear-optical processes observed to date. By focusing an intense laser pulse into a gas, the light-atom interaction that occurs during the process of ionising the atoms results in the…

The famous demonstration of optical rogue wave (RW)-rarely and unexpectedly event with extremely high intensity-had opened a flourishing time for temporal statistic investigation as a powerful tool to reveal the fundamental physics in…

Optics · Physics 2018-10-17 Jiangming Xu , Jian Wu , Jun Ye , Pu Zhou , Hanwei Zhang , Jiaxin Song , Jinyong Leng

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…

We address the various initial excitations of the Peregrine rogue wave and establish a robust transmission scheme of high power pulses extracted from the Peregrine rogue wave in a standard telecommunications fiber. The results show that the…

Optics · Physics 2013-09-18 Guangye Yang , Lu Li , SuoTang Jia , Dumitru Mihalache

We introduce a novel family of analytic solutions of the three-wave resonant interaction equations to the purpose of modeling unique events, i.e. "amplitude peaks" which are isolated in space and time. The description of these solutions is…

Exactly Solvable and Integrable Systems · Physics 2013-09-18 Fabio Baronio , Matteo Conforti , Antonio Degasperis , Sara Lombardo

In this essay we give an overview on the problem of rogue or freak wave formation in the ocean. The matter of the phenomenon is a sporadic occurrence of unexpectedly high waves on the sea surface. These waves cause serious danger for…

Atmospheric and Oceanic Physics · Physics 2017-03-30 Alexey Slunyaev , Ira Didenkulova , Efim Pelinovsky

In this paper, we study the evolution of intensive light pulses in nonlinear single-mode fibers. The dynamics of light in such fibers is described by the nonlinear Schr\"odinger equation with the Raman term, due to stimulated Raman…

Pattern Formation and Solitons · Physics 2021-11-08 S. K. Ivanov , A. M. Kamchatnov

General higher order rogue waves of a vector nonlinear Schrodinger equation (Manakov system) are derived using a Darboux-dressing transformation with an asymptotic expansion method. The Nth order semi-rational solutions containing 3N free…

Exactly Solvable and Integrable Systems · Physics 2014-04-14 Gui Mu , Zhenyun Qin , Roger Grimshaw

We numerically demonstrate the formation of the spatiotemporal version of the so-called diffractive resonant radiation generated in waveguide arrays with Kerr nonlinearity when a long pulse is launched into the system. The phase matching…

Optics · Physics 2013-06-03 Truong X. Tran , Fabio Biancalana

Dramatic advances in supercontinuum generation have been made recently using photonic crystal fibers, but it is quite challenging to obtain an octave-spanning supercontinuum on a chip, partially because of strong dispersion in…

Using symmetry analysis we systematically present a higher-dimensional similarity transformation reducing the (3+1)-dimensional inhomogeneous nonlinear Schrodinger (NLS) equation with variable coefficients and parabolic potential to the…

Exactly Solvable and Integrable Systems · Physics 2015-05-20 Zhenya Yan , V. V. Konotop , N. Akhmediev

In this paper, using the Darboux transformation, we demonstrate the generation of first order breather and higher-order rogue waves from a generalized nonlinear Schr\"odinger equation with several higher-order nonlinear effects representing…

Exactly Solvable and Integrable Systems · Physics 2013-06-06 L. H. Wang , K. Porsezian , J. S. He

We present an optical fiber experiment in which we examine the space-time evolution of a modulationally unstable plane wave initially perturbed by a small noise. Using a recirculating fiber loop as experimental platform, we report the…

Optics · Physics 2019-09-04 Adrien Kraych , Dmitry Agafontsev , Stephane Randoux , Pierre Suret

In analogy with ocean waves running up towards the beach, shoaling of prechirped optical pulses may occur in the normal group-velocity dispersion regime of optical fibers. We present exact Riemann wave solutions of the optical shallow water…

Optics · Physics 2015-06-12 Stefan Wabnitz

Being considered as a prototype for description of oceanic rogue waves (RWs), the Peregrine breather solution of the nonlinear Schr\"odinger equation (NLS) has been recently observed and intensely investigated experimentally in particular…

Fluid Dynamics · Physics 2015-06-16 A. Chabchoub , N. Hoffmann , H. Branger , C. Kharif , N. Akhmediev

In an optical experiment, we report a wave turbulence regime that, starting with weakly nonlinear waves with randomized phases, shows an inverse cascade of photons towards the lowest wavenumbers. We show that the cascade is induced by a…

In the present work, we explore the possibility of developing rogue waves as exact solutions of some nonlinear dispersive equations, such as the nonlinear Schr\"odinger equation, but also, in a similar vein, the Hirota, Davey-Stewartson,…

Pattern Formation and Solitons · Physics 2019-02-15 C. B. Ward , P. G. Kevrekidis

Rogue waves are associated with various ocean processes, both at the coast and in the open ocean. In either zone, inhomogeneities in the wave field caused by shoaling, crossing seas or current interactions disturb wave statistics,…

Atmospheric and Oceanic Physics · Physics 2025-06-11 Saulo Mendes , Ina Teutsch , Jérôme Kasparian