Topic
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.
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TL;DR: In this article, an improved phase modulation algorithm is used to generate the free surface profile of the freak wave and the wave-current interaction is considered in the process of freak wave generation.
28 citations
TL;DR: In this article, the authors studied the features of the optical rogue wave (ORW) observed in an all-solid-state (Cr:YAG+Nd:YVO4) passively-Q-switched laser, which is a system of wide practical interest.
Abstract: We study the features of the optical rogue waves (ORWs) observed in an all-solid-state (Cr:YAG+Nd:YVO4) passively-Q-switched laser, which is a system of wide practical interest. The extreme events appear as isolated pulses of extraordinary intensity during the chaotic regime of this laser. The standard theoretical description (three-level rate equations for a single mode of the field and a two-level system for the absorber) does predict the existence of many of the observed dynamical features, including chaos, but it fails to predict the existence of ORWs. Faced with the problem of improving the theoretical description, we find that ORWs are observed only when the Fresnel number of the laser cavity and the embedding dimension of the attractor reconstructed from the experimental time series are high, and the laser spot profile has a spatially complex structure. These results suggest that spatial effects are an essential ingredient in the formation of ORWs in this type of laser.
28 citations
TL;DR: In this article, the authors describe a nonlinear phenomenon of interaction of waves that may be a reason for the existence of high-amplitude wave humps on the sea surface and evaluate the properties of extreme elevation area in the vicinity of the intersection point of two long-crested shallow water waves travelling in slightly different directions.
28 citations
TL;DR: In this article, the authors derived rigorously an asymptotic series that describes the flow near the crest of an extreme wave in the free surface of an ideal liquid which is in two-dimensional, irrotational motion under the action of gravity.
Abstract: : This paper concerns waves of permanent form on the free surface of an ideal liquid which is in two-dimensional, irrotational motion under the action of gravity. We consider only extreme waves, often called 'waves of greatest height'; each of these is the end-member of a one-parameter family of waves, and is distinguished from other 'smaller' members of the family by a sharp crest. Although this corner is physically unrealistic, oceanographers have given such idealized, extreme waves a great deal of attention since Stokes postulated their existence in 1880. (One reason may be the physical importance of the smaller waves, and that scientists like to interpolate.) The present paper is a contribution to the strict mathematical theory of extreme waves, which was emerged only since 1978. We derive rigorously an asymptotic series that describes the flow near the crest. This confirms and sharpens certain earlier exploratory results due to Grant and Norman. The series should play a useful part in numerical computations of extreme waves. (Author)
28 citations
TL;DR: Several new types of localized excitations including rogue waves are found, which stem from the arbitrary function generated in the process of similarity reduction in the reduced Maxwell–Bloch equations.
28 citations