Journal ArticleDOI
Rogue waves as spatial energy concentrators in arrays of nonlinear waveguides.
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In an array of nonlinear waveguides, a giant compression of the input beam can be achieved by exciting a rogue wave by determining the required input profile of the electric field.Abstract:
In an array of nonlinear waveguides, a giant compression of the input beam can be achieved by exciting a rogue wave Input field almost homogeneously distributed over hundreds of waveguides concentrates practically all the energy into a single waveguide at the output plane of the structure We determine the required input profile of the electric field to achieve this We illustrate the phenomenon by modeling the array by direct numerical simulations of the discrete nonlinear Schrodinger equationread more
Citations
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Journal ArticleDOI
Progress in optics
TL;DR: The last volume of the Progress in Optics series as discussed by the authors contains seven chapters on widely diverging topics, written by well-known authorities in their fields, including laser selective photophysics and photochemistry, laser phase profile generation, laser beamforming, and laser laser light emission from high-current surface spark discharges.
Journal ArticleDOI
Recent progress in investigating optical rogue waves
Journal ArticleDOI
Vector financial rogue waves
TL;DR: In this article, the authors analytically propose vector financial rogue waves of the coupled nonlinear volatility and option pricing model without an embedded w-learning, and exhibit their dynamical behaviors for chosen different parameters.
Journal ArticleDOI
Vector rogue waves in binary mixtures of Bose-Einstein condensates
TL;DR: In this paper, numerically rogue waves in two-component Bose-Einstein condensates were studied and it was shown that rogue wave solutions exist only for certain combinations of the nonlinear coefficients describing two-body interactions.
Journal ArticleDOI
General rogue waves in the focusing and defocusing Ablowitz–Ladik equations
Yasuhiro Ohta,Jianke Yang +1 more
TL;DR: In this paper, the authors derived general rogue waves in the focusing and defocusing Ablowitz-Ladik equations by the bilinear method and showed that these waves can blow up to infinity in finite time.
References
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Journal ArticleDOI
Optical rogue waves
TL;DR: This work reports the observation of rogue waves in an optical system, based on a microstructured optical fibre, near the threshold of soliton-fission supercontinuum generation—a noise-sensitive nonlinear process in which extremely broadband radiation is generated from a narrowband input.
Journal ArticleDOI
Water waves, nonlinear Schrödinger equations and their solutions
TL;DR: In this article, a number of ases in which these equations reduce to a one dimensional nonlinear Schrodinger (NLS) equation are enumerated, and several analytical solutions of NLS equations are presented, with discussion of their implications for describing the propagation of water waves.
Journal ArticleDOI
Progress in optics
TL;DR: The last volume of the Progress in Optics series as discussed by the authors contains seven chapters on widely diverging topics, written by well-known authorities in their fields, including laser selective photophysics and photochemistry, laser phase profile generation, laser beamforming, and laser laser light emission from high-current surface spark discharges.
Journal ArticleDOI
Waves that appear from nowhere and disappear without a trace
TL;DR: In this article, a hierarchy of rational solutions of the nonlinear Schrodinger equation (NLSE) with increasing order and with progressively increasing amplitude is presented. And the authors apply the WANDT title to two objects: rogue waves in the ocean and rational solution of the NLSE.
Journal ArticleDOI
Discrete self-focusing in nonlinear arrays of coupled waveguides.
TL;DR: It is shown that a nonlinear array of coupled waveguides can exhibit discrete self-focusing that in the continuum approximation obeys the so-called nonlinear Schrödinger equation.