English
Related papers

Related papers: Caustics and Rogue Waves in an Optical Sea

200 papers

Numerical simulations are used to discuss various aspects of "optical rogue wave" statistics observed in noise-driven fiber supercontinuum generation associated with highly incoherent spectra. In particular, we consider how long wavelength…

Optics · Physics 2015-05-19 Miro Erkintalo , Goëry Genty , John M. Dudley

Rogue wave formation and enhancement over coastal areas have been documented over the last decade. However, this recent knowledge is in apparent contradiction with the established observation of sub-Gaussian wave statistics near shallow…

Fluid Dynamics · Physics 2025-02-07 Saulo Mendes , Yuchen He , Jérôme Kasparian , Amin Chabchoub

Random excitation of intense periodic highly-localized single-cycle light pulses in a stochastic background by continuous-wave stimulated Brillouin scattering in long optical fibers with weak feedback is found experimentally. Events with…

Optics · Physics 2013-12-12 Yingchun Ding , Junbo Gao , Fengli Zhang , Zhaoyang Chen , Chengyou Lin , M. Y. Yu

Rogue waves are extreme ocean events characterized by the sudden formation of anomalously large crests, and remain an important subject of investigation in oceanography and mathematics. A central problem is to quantify the probability of…

Analysis of PDEs · Mathematics 2026-03-31 Massimiliano Berti , Ricardo Grande , Alberto Maspero , Gigliola Staffilani

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

We consider a two-level atomic system, interacting with an electromagnetic field controlled in amplitude and frequency by a high intensity laser. We show that the amplitude of the induced electric field, admits an envelope profile…

Pattern Formation and Solitons · Physics 2016-08-24 Jingsong He , Shuwei Xu , K. Porsezian , Yi Cheng , P. Tchofo Dinda

In addition to deep-water rogue waves which develop from the modulation instability of an optical CW, wave propagation in optical fibers may also produce shallow water rogue waves. These extreme wave events are generated in the…

Pattern Formation and Solitons · Physics 2015-06-12 Stefan Wabnitz , Christophe Finot , Julien Fatome , Guy Millot

Freak waves, or rogue waves, are one of the fascinating manifestations of the strength of nature. These devastating walls of water appear from nowhere, are short-lived and extremely rare. Despite the large amount of research activities on…

Non-deterministic giant waves, denoted as rogue, killer, monster or freak waves, have been reported in many different branches of physics. Their origin is however still unknown: despite the massive numerical and experimental evidence, the…

Optics · Physics 2014-06-24 Andrea Armaroli , Claudio Conti , Fabio Biancalana

Rogue waves in birefringent optical fibers are analyzed within the framework of the coupled nonlinear Schr\"odinger (CNLS) system. The generation of rogue waves is frequently associated with modulation instability (MI). It is commonly…

Pattern Formation and Solitons · Physics 2016-07-08 Mark J. Ablowitz , Theodoros P. Horikis

We systematically investigate rogue wave's spatial-temporal pattern in $N$ $(N\geq2)$-component coupled defocusing nonlinear Schr\"{o}dinger equations. The fundamental rogue wave solutions are given in a unified form for both focusing and…

Pattern Formation and Solitons · Physics 2022-12-16 Yan-Hong Qin , Liming Ling , Li-Chen Zhao

Rogue waves are solitary waves with extreme amplitudes, which appear to be a ubiquitous phenomenon in nonlinear wave propagation, with the requirement for a nonlinearity being their only unifying characteristics. While many mechanisms have…

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

We demonstrate a simple cascade mechanism that drives the formation and emergence of rogue waves in the generalized non-linear Schr\"{o}dinger equation with third-order dispersion. This conceptually novel generation mechanism is based on…

We report optical fiber experiments allowing to investigate integrable turbulence in the focusing regime of the one dimensional nonlinear Schr\"odinger equation (1D-NLSE). Our experiments are very similar in their principle to water tank…

Pattern Formation and Solitons · Physics 2015-04-16 Pierre Walczak , Stéphane Randoux , Pierre Suret

The generation of rogue waves is investigated via a nonlocal nonlinear Schrodinger (NLS) equation. In this system, modulation instability is suppressed and is usually expected that rogue wave formation would also be limited. On the…

Pattern Formation and Solitons · Physics 2017-04-26 Theodoros P. Horikis , Mark J. Ablowitz

We propose an alternative to the standard mechanisms for the formation of rogue waves in a non-conservative, nonlinear lattice dynamical system. We consider an ODE system that features regular periodic bursting arising from forced symmetry…

Pattern Formation and Solitons · Physics 2022-08-17 Priya Subramanian , Edgar Knobloch , P. G. Kevrekidis

We address light propagation properties in complex media consisting of random distributions of lenses that have specific focusing properties. We present both analytical and numerical techniques that can be used to study emergent properties…

Optics · Physics 2017-04-07 M. Mattheakis , G. P. Tsironis

We show that rogue waves can be triggered naturally when a stable wave train enters a region of an opposing current flow. We demonstrate that the maximum amplitude of the rogue wave depends on the ratio between the current velocity, $ U_0…

Fluid Dynamics · Physics 2011-10-27 Miguel Onorato , Davide Proment , Alessandro Toffoli

We investigate the outbreak of anomalous quantum wavefunction amplitudes in a one-dimensional tight-binding lattice featuring correlated diagonal disorder. Such rogue-wave-like behavior is fostered by a competition between localization and…

Disordered Systems and Neural Networks · Physics 2023-02-08 A. R. C. Buarque , W. S. Dias , G. M. A. Almeida , M. L. Lyra , F. A. B. F. de Moura