April 2018
Spotlight Summary by Guangyuan Li
Rogue waves under influence of Raman delay
Rogue waves, also known as killer waves and abnormal waves, have an exceptionally large amplitude and may appear from nowhere and disappear without a trace. These waves were first observed in the deep ocean and later in many other fields such as optics, Bose-Einstein condensates, the atmosphere, and superfluids. For such complicated rogue waves, a mathematical description is the key to understanding the dynamic properties. As a simple model, the nonlinear Schrödinger equation (NLSE) can be solved analytically, and rogue waves in the exact form of the “Peregrine” solution can be obtained. For some more complicated cases such as the occurrence of higher-order effects that can influence the dynamics of rogue waves, however, exact solutions are not possible so that appropriate approximations with reasonable accuracy should be adopted. In this work, Ankiewicz and colleagues apply the Lagrangian approach to obtain approximate rogue wave solutions from the NLSE with higher-order effects, specifically, the effects of optically-relevant Raman delay. This technique, the applicability and accuracy of which have been confirmed here, can be applied to rogue waves in other optical systems. Taking advantage of the analogies between rogue waves in different fields, this work may inspire researchers, for example in hydrodynamics, in understanding the influences of higher-order effects, such as wind, viscosity, and bottom friction, on the dynamics of rogue waves in the deep ocean.
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Article Information
Rogue waves under influence of Raman delay
Adrian Ankiewicz, Mahyar Bokaeeyan, and Nail Akhmediev
J. Opt. Soc. Am. B 35(4) 899-908 (2018) View: Abstract | HTML | PDF