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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

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…

The energy spectrum of the extended attractive potential of a crystallographic row for negatively charged particles has quasi-bound states. It follows that a negatively charged particle with small transversal momentum component ($p_{\bot} R…

Mesoscale and Nanoscale Physics · Physics 2015-01-12 Gennady V. Kovalev

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…

The scattering of a flying photon by a two-level system ultrastrongly coupled to a one-dimensional photonic waveguide is studied numerically. The photonic medium is modeled as an array of coupled cavities and the whole system is analyzed…

We show numerically for the first time that ultra-refractive phenomena do exist in one-dimensional photonic crystals: we exhibit the main features of ultra-refraction, that is the enlargement and the splitting of an incident beam. We give a…

Optics · Physics 2007-05-23 Didier Felbacq , Brahim Guizal , Frederic Zolla

It is well-known and classical result that spectrally stable traveling waves of a general reaction-diffusion system in one spatial dimension are asymptotically stable with exponential relaxation rates. In a series of works in the 1990's,…

Analysis of PDEs · Mathematics 2020-04-22 Fazel Hadadifard , Atanas G. Stefanov

We show that rogue waves can be triggered naturally when a stable wave train enters a region of an opposing current flow. We demonstrate that the maximum amplitude of the rogue wave depends on the ratio between the current velocity, $ U_0…

Fluid Dynamics · Physics 2011-10-27 Miguel Onorato , Davide Proment , Alessandro Toffoli

We report on ultrafast electron diffraction on high quality single crystal silicon. The ultrafast dynamics of the Bragg peaks exhibits a giant photo-induced response which can only be explained in the framework of dynamical diffraction…

We study electromagnetic waves scattering by a 2D photonic crystal made of a stack of diffraction gratings. In case where there are only two propagative modes in the crystal, we derive an explicit expression for the superior (resp.…

Materials Science · Physics 2007-05-23 B. Guizal , D. Felbacq , R. Smaali

We analytically and numerically study three-component rogue waves (RWs) in spin-1 Bose-Einstein condensates with Raman-induced spin-orbit coupling (SOC). Using the multiscale perturbative method, we obtain approximate analytical solutions…

Quantum Gases · Physics 2024-09-16 Jun-Tao He , Hui-Jun Li , Ji Lin , Boris A. Malomed

We study theoretically and experimentally the modulational instability of broad optical beams in photorefractive nonlinear media. We demonstrate the impact of the anisotropy of the nonlinearity on the growth rate of periodic perturbations.…

Optics · Physics 2011-07-19 M. Saffman , Glen McCarthy , Wieslaw Królikowski

We show by direct numerical simulations that spatiotemporally localized wave forms, strongly reminiscent of the Peregrine rogue wave, can be excited by vanishing initial conditions for the periodically driven nonlinear Schr\"odinger…

Pattern Formation and Solitons · Physics 2019-05-22 Nikos I. Karachalios , Paris Kyriazopoulos , Konstantinos Vetas

We systematically study a collection of refractive phenomena that can possibly occur at the interface of a two-dimensional photonic crystal, with the use of the wave vector diagram formalism. Cases with a single propagating beam (in the…

Other Condensed Matter · Physics 2015-06-24 S. Foteinopoulou , C. M. Soukoulis

Rogue waves in birefringent optical fibers are analyzed within the framework of the coupled nonlinear Schr\"odinger (CNLS) system. The generation of rogue waves is frequently associated with modulation instability (MI). It is commonly…

Pattern Formation and Solitons · Physics 2016-07-08 Mark J. Ablowitz , Theodoros P. Horikis

We demonstrate superluminal light propagation using two frequency multiplexed pump beams to produce a gain doublet in a photorefractive crystal of Ce:BaTiO3. The two gain lines are obtained by two-wave mixing between a probe field and two…

Quantum Physics · Physics 2008-09-24 H. N. Yum , M. Salit , G. S. Pati , S. Tseng , P. R. Hemmer , M. S. Shahriar

We present a generalized method to describe the x-ray scattering intensity of the Bragg spots in a diffraction pattern from nanocrystals exposed to intense x-ray pulses. Our method involves the subdivision of a crystal into smaller units.…

Atomic and Molecular Clusters · Physics 2017-08-24 Malik Muhammad Abdullah , Zoltan Jurek , Sang-Kil Son , Robin Santra

We study resonant optical excitations of atoms in a one-dimensional lattice to the Rydberg states interacting via the van der Waals potential which suppresses simultaneous excitation of neighboring atoms. Considering two- and three-level…

Quantum Physics · Physics 2013-02-06 Michael Hoening , Dominik Muth , David Petrosyan , Michael Fleischhauer

This paper considers the refraction and diffraction of waves in three-dimensional crystals formed by anisotropically scattering centers. The partial wave expansion method is used to consider the effect of multiple rescattering of waves by…

Optics · Physics 2013-07-08 V. G. Baryshevsky , E. A. Gurnevich

We report on the experimental observation of the beaming effect in photonic crystals enhanced via surface modes. We experimentally map the spatial field distribution of energy emitted from a subwavelength photonic crystal waveguide into…

Optics · Physics 2009-11-13 Steven K. Morrison , Yuri S. Kivshar