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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

Soliton fusion is a fascinating and delicate phenomenon that manifests itself in optical fibers in case of interaction between co-propagating solitons with small temporal and wavelengths separation. We show that the mechanism of…

Optics · Physics 2015-06-12 Rodislav Driben , Ihar Babushkin

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 present a spatio-temporal mechanism for producing 2D optical rogue waves in the presence of a turbulent state with creation, interaction and annihilation of optical vortices. Spatially periodic structures with bound phase lose stability…

Optics · Physics 2016-02-12 Christopher J. Gibson , Alison M. Yao , Gian-Luca Oppo

Optical rogue waves are rare yet extreme fluctuations in the value of an optical field. The terminology was first used in the context of an analogy between pulse propagation in optical fibre and wave group propagation on deep water, but has…

Optics · Physics 2014-10-14 John M. Dudley , Frédéric Dias , Miro Erkintalo , Goëry Genty

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

Extremely large, rare events arise in various systems, often representing a defining character of their behavior. Another class of extreme occurrences, unexpected failures, may appear less important, but in applications demanding stringent…

Optics · Physics 2015-05-14 D. R. Solli , C. Ropers , B. Jalali

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

Extreme or rogue waves are large and unexpected waves appearing with higher probability than predicted by Gaussian statistics. Although their formation is explained by both linear and nonlinear wave propagation, nonlinearity has been…

We explore rogue wave formation in multimode silicon nitride (Si$_3$N$_4$) waveguides with multimode nonlinear Schr\"odinger equation-based simulations. Pure fundamental-mode excitation produces smooth propagation without extreme events,…

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 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

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…

Optical supercontinuum radiation, a special kind of white light, has found numerous applications in scientific research and technology. This bright, broadband radiation can be generated from nearly monochromatic light through the…

Optics · Physics 2008-01-29 D. R. Solli , C. Ropers , B. Jalali

Rogue waves, characterized by their abrupt and extreme localization in space and time, have evolved from maritime folklore to subjects of intense study across diverse fields, from hydrodynamics and nonlinear optics to plasmas and condensed…

Pattern Formation and Solitons · Physics 2026-05-19 Yasuhiro Miyazawa , Christopher Chong , Panayotis G. Kevrekidis , Jinkyu Yang

Supratransmission is a fascinating and counterintuitive nonlinear wave phenomenon that enables energy transmission through frequency band gaps. Recent studies have suggested that supratransmission in a damped-driven Klein-Gordon equation…

Pattern Formation and Solitons · Physics 2025-04-29 Abrari Noor Hasmi , Hadi Susanto

There are many examples in physics of systems showing rogue wave behaviour, the generation of high amplitude events at low probability. Although initially studied in oceanography, rogue waves have now been seen in many other domains, with…

We examine the general question of statistical changes experienced by ensembles of nonlinear random waves propagating in systems ruled by integrable equations. In our study that enters within the framework of integrable turbulence, we…

Optics · Physics 2016-08-24 S. Randoux , P. Walczak , M. Onorato , P. Suret

We investigate the Zeno dynamics of the optical rogue waves. Considering their usage in modeling rogue wave dynamics, we analyze the Zeno dynamics of the Akhmediev breathers, Peregrine and Akhmediev-Peregrine soliton solutions of the…

Quantum Physics · Physics 2018-01-17 Cihan Bayindir , Fatih Ozaydin

We review the study of rogue waves and related instabilities in optical and oceanic environments, with particular focus on recent experimental developments. In optics, we emphasize results arising from the use of real-time measurement…

Fluid Dynamics · Physics 2019-12-24 J. M. Dudley , G. Genty , A. Mussot , A. Chabchoub , F. Dias
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