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Related papers: Optical Rogue Waves in Vortex Turbulence

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We observe stable propagation of spatially localized single- and double-charge optical vortices in a self-focusing nonlinear medium. The vortices are created by self-trapping of partially incoherent light carrying a phase dislocation, and…

Pattern Formation and Solitons · Physics 2009-11-10 Chien-Chung Jeng , Ming-Feng Shih , Kristian Motzek , Yuri Kivshar

Rogue waves are extreme and rare fluctuations of the wave field that have been discussed in many physical systems. Their presence substantially influences the statistical properties of an incoherent wave field. Their understanding is…

Pattern Formation and Solitons · Physics 2018-01-24 Rebecca El Koussaifi , Alexey Tikan , Alessandro Toffoli , Stephane Randoux , Pierre Suret , Miguel Onorato

An overdense plasma layer irradiated by an intense light can exhibit dramatic nonlinear-optical effects due to a relativistic mass-effect of free electrons: highly-multiple hysteresises of reflection and transition, and emergence of…

Plasma Physics · Physics 2010-03-16 A. E. Kaplan

Caustics are natural phenomena in which nature concentrates the energy of waves. Although, they are known mostly in optics, caustics are intrinsic to all wave phenomena. For example, studies show that fluctuations in the profile of an ocean…

Optics · Physics 2017-11-22 Akbar Safari , Robert Fickler , Miles J. Padgett , Robert W. Boyd

Rogue waves, characterized by their abrupt and extreme localization in space and time, have evolved from maritime folklore to subjects of intense study across diverse fields, from hydrodynamics and nonlinear optics to plasmas and condensed…

Pattern Formation and Solitons · Physics 2026-05-19 Yasuhiro Miyazawa , Christopher Chong , Panayotis G. Kevrekidis , Jinkyu Yang

We explore rogue wave formation in multimode silicon nitride (Si$_3$N$_4$) waveguides with multimode nonlinear Schr\"odinger equation-based simulations. Pure fundamental-mode excitation produces smooth propagation without extreme events,…

We report the first observation of extreme wave events (rogue waves) in parametrically driven capillary waves. Rogue waves are observed above a certain threshold in forcing. Above this threshold, frequency spectra broaden and develop…

Fluid Dynamics · Physics 2010-03-15 M. Shats , H. Punzmann , H. Xia

We show experimentally that a stable wave propagating into a region characterized by an opposite current may become modulationaly unstable. Experiments have been performed in two independent wave tank facilities; both of them are equipped…

Fluid Dynamics · Physics 2014-07-30 A. Toffoli , T. Waseda , H. Houtani , T. Kinoshita , K. Collins , D. Proment , M. Onorato

We construct rogue waves (RWs) in a coupled two-mode system with the self-focusing nonlinearity of the Manakov type (equal SPM and XPM coefficients), spatially modulated coefficients, and a specially designed external potential. The system…

Exactly Solvable and Integrable Systems · Physics 2015-10-23 Wei-Ping Zhong , Milivoj Belić , Boris A. Malomed

Recent results of numerical simulations of fully nonlinear evolutionary equations for long-crested deep-water waves are discussed, where formation of extreme waves was observed. Several examples demonstrate that three-dimensionality of the…

Atmospheric and Oceanic Physics · Physics 2011-08-19 V. P. Ruban

Rogue waves are intense and unexpected wavepackets ubiquitous in complex systems. In optics, they are promising as robust and noise-resistant beams for probing and manipulating the underlying material. Localizing large optical power is…

Optics · Physics 2023-03-09 D. Pierangeli , G. Perini , V. Palmieri , I. Grecco , G. Friggeri , M. Papi , E. DelRe , C. Conti

Rogue waves (RWs) are unexpectedly strong excitations emerging from an otherwise tranquil background. The nonlinear Schr\"odinger equation (NLSE), a ubiquitous model with wide applications to fluid mechanics, optics and plasmas, exhibits…

Pattern Formation and Solitons · Physics 2016-01-07 H. N. Chan , B. A. Malomed , K. W. Chow , E. Ding

We investigate the statistics of rogue waves occurring in the inverse cascade of surface gravity wave turbulence. In such statistically homogeneous, stationary and isotropic wave fields, low-frequency waves are generated by nonlinear…

Fluid Dynamics · Physics 2022-06-15 Guillaume Michel , Félicien Bonnefoy , Guillaume Ducrozet , Eric Falcon

We demonstrate experimentally the generation of square and hexagonal lattices of optical vortices and reveal their propagation in a saturable nonlinear medium. If the topological charges of the vortices are of the same sign the lattice…

Pattern Formation and Solitons · Physics 2009-11-07 Alexander Dreischuh , Sotir Chervenkov , Dragomir Neshev , Gerhard G. Paulus , Herbert Walther

Rogue waves are extreme ocean events characterized by the sudden formation of anomalously large crests, and remain an important subject of investigation in oceanography and mathematics. A central problem is to quantify the probability of…

Analysis of PDEs · Mathematics 2026-03-31 Massimiliano Berti , Ricardo Grande , Alberto Maspero , Gigliola Staffilani

Within the framework of the average approach and direct 3D PIC (particle-in-cell) simulations we demonstrate that the gyrotrons operating in the regime of developed turbulence can sporadically emit "giant" spikes with intensities a factor…

Chaotic Dynamics · Physics 2017-09-20 N. S. Ginzburg , R. M. Rozental , A. S. Sergeev , A. E. Fedotov , I. V. Zotova , V. P. Tarakanov

Weak phase noise present on an optical field can be amplified by a self-focusing nonlinearity and form intense "rogue wave" features. Here, we study the effect of the coherence length (or grain size) of this phase noise on the likelihood of…

In multi-component systems, several rogue waves can be simultaneously excited using simple initial conditions in the form of a plane wave with a small amplitude single-peak perturbation. This is in drastic contrast with the case of…

Pattern Formation and Solitons · Physics 2022-03-09 Chong Liu , Shao-Chun Chen , Xiankun Yao , Nail Akhmediev

We investigate the matter rogue wave in Bose-Einstein Condensates with attractive interatomic interaction analytically and numerically. Our results show that the formation of rogue wave is mainly due to the accumulation of energy and atoms…

Quantum Gases · Physics 2013-09-24 Lin Wen , Lu Li , Zai-Dong Li , Shu-Wei Song , Xiao-Fei Zhang , W. M. Liu

We considered the modulational instability of continuous-wave backgrounds, and the related generation and evolution of deterministic rogue waves in the recently introduced parity-time (PT)-symmetric system of linearly-coupled nonlinear…

Optics · Physics 2013-07-17 Yu. V. Bludov , R. Driben , V. V. Konotop , B. A. Malomed