Rogue wave

About: Rogue wave is a research topic. Over the lifetime, 2977 publications have been published within this topic receiving 70933 citations. The topic is also known as: freak wave & monster wave.

Soliton-induced relativistic-scattering and amplification

Abstract: Solitons are of fundamental importance in photonics due to applications in optical data transmission and also as a tool for investigating novel phenomena ranging from light generation at new frequencies and wave-trapping to rogue waves. Solitons are also moving scatterers: they generate refractive index perturbations moving at the speed of light. Here we found that such perturbations scatter light in an unusual way: they amplify light by the mixing of positive and negative frequencies, as we describe using a first Born approximation and numerical simulations. The simplest scenario in which these effects may be observed is within the initial stages of optical soliton propagation: a steep shock front develops that may efficiently scatter a second, weaker probe pulse into relatively intense positive and negative frequency modes with amplification at the expense of the soliton. Our results show a novel all-optical amplification scheme that relies on soliton induced scattering.

General high-order rogue waves to nonlinear Schrödinger–Boussinesq equation with the dynamical analysis

Abstract: General high-order rogue waves of the nonlinear Schrodinger–Boussinesq equation are obtained by the KP-hierarchy reduction theory, and the N-order rogue waves are expressed with the determinants, whose entries are all algebraic forms, which is shown in the theorem. It is found that the fundamental first-order rogue waves can be classified into three patterns: four-petal state, dark state, bright state by choosing different values of parameter $$\alpha $$ . An interesting phenomenon is discovered as the evolution of the parameter $$\alpha $$ : the rogue wave changes from four-petal state to dark state, whereafter bright state, which are consistent with the change in the corresponding critical points to the function of two variables. Furthermore, the dynamical property of second-order and third-order rogue waves is plotted, which can be regarded as the nonlinear superposition of the fundamental first-order rogue waves.

Photonics: Rogue waves surface in light

Abstract: How do the freak waves that haunt seafarers' nightmares arise? We don't know, is the short answer — but the discovery of a similar phenomenon in optical waves might assist in getting to the bottom of the mystery. Mariners have known for centuries that freak, giant waves can appear out of the blue in the ocean. The probability of encountering such a 'rogue' wave was recently found to be much larger than expected from conventional wave-amplitude statistics. In an effort to understand the physics of such events, Solli et al. investigate the concept of optical rogue waves. Using a new real-time detection technique, they study a system — based on a microstructured optical fibre — that exposes extremely steep, large optical waves as rare outcomes from an injection of a population of almost-identical optical pulses. The optical rogue waves arise when random noise perturbs the initially smooth pulses with a certain frequency shift and within a well-defined time window.