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Related papers: Modulation Instability and Pattern Formation in Sp…

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We show that the phenomenon of modulational instability in arrays of Bose-Einstein condensates confined to optical lattices gives rise to coherent spatial structures of localized excitations. These excitations represent thin disks in 1D,…

Soft Condensed Matter · Physics 2009-11-10 B. B. Baizakov , V. V. Konotop , M. Salerno

We carry out a modulation instability (MI) analysis in nonlinear complex parity-time (PT) symmetric periodic structures. All the three regimes defined by the PT-symmetry breaking point or threshold, namely, below threshold, at threshold and…

Optics · Physics 2015-06-19 Amarendra K. Sarma

As two counter-rotating beams interact they can give rise to coherent dipole modes. Under the influence of impedance these coherent beam-beam modes can couple to higher order head-tail modes and lead to strong instabilities. A fully…

Accelerator Physics · Physics 2014-10-22 S. White , X. Buffat

We investigate the phenomenon of parametric instability in discrete models of spatiotemporally modulated materials. These materials are celebrated in part because they exhibit nonreciprocal transmission characteristics. However, parametric…

Materials Science · Physics 2025-10-20 Jiuda Wu , Behrooz Yousefzadeh

The filamentation instability (FI) of counter-propagating beams of electrons is modelled with a particle-in-cell simulation in one spatial dimension and with a high statistical plasma representation. The simulation direction is orthogonal…

Plasma Physics · Physics 2015-05-14 M E Dieckmann , A Bret

Spatio-temporal mode coupling in highly multimode physical systems permits new routes for exploring complex instabilities and forming coherent wave structures. We present here the first experimental demonstration of multiple geometric…

We study modulational instability in nonlinear arrays of subwavelength metallic nanoparticles, and analyze numerically nonlinear scenarios of the instability development. We demonstrate that modulational instability can lead to the…

Optics · Physics 2012-06-01 Roman E. Noskov , Pavel A. Belov , Yuri S. Kivshar

We predict random-phase spatial solitons in instantaneous nonlocal nonlinear media. The key mechanism responsible for self-trapping of such incoherent wave-packets is played by the non-local (rather than the traditional non-instantaneous)…

Pattern Formation and Solitons · Physics 2007-05-23 Oren Cohen , Hrvoje Buljan , Tal Schwartz , Jason W. Fleischer , Mordechai Segev

The dynamics of an elongated attractive Bose-Einstein condensate in an axisymmetric harmonic trap is studied. It is shown that density fringes caused by self-interference of the condensate order parameter seed modulational instability. The…

Soft Condensed Matter · Physics 2009-11-10 L. D. Carr , J. Brand

A beam of light, reflected at a planar interface, does not follow perfectly the ray optics prediction. Diffractive corrections lead to beam shifts; either the reflected beam is displaced (spatial shift) and/or travels in a different…

Optics · Physics 2012-11-26 W. Löffler , Andrea Aiello , J. P. Woerdman

Partially coherent light beams are encountered both in classical and in quantum optics. Their coherence properties generally depend on the correlation properties of their sources. In this paper, we propose a technique for controlling the…

Optics · Physics 2012-10-24 Mayukh Lahiri , Emil Wolf

We report on the formation of a diverse family of transverse spatial polygon patterns in a microcavity polariton fluid under coherent driving by a blue-detuned pump. Patterns emerge spontaneously as a result of energy-degenerate…

In this paper, we study modulation instabilities (MI) in a one-dimensional chain configuration of a flexible mechanical metamaterial (flexMM). Using the lumped element approach, flexMMs can be modeled by a coupled system of discrete…

Applied Physics · Physics 2023-05-31 Antoine Demiquel , Vassos Achilleos , Georgios Theocharis , Vincent Tournat

The modulational instability of broadband optical pulses in a four-state atomic system is investigated. In particular, starting from a recently derived generalized nonlinear Schr\"odinger equation, a wave-kinetic equation is derived. A…

Pattern Formation and Solitons · Physics 2007-05-23 M. Marklund , P. K. Shukla , R. Bingham , J. T. Mendonca

Stochastically driven nonlinear processes limit the number of amplified modes in a natural system due to competitive mode interaction, which is accompanied by loss of coherence when increasing the complexity of system. Specifically, we find…

Optics · Physics 2016-07-21 Lei Gao , Tao Zhu , Stefan Wabnitz , Min Liu , Wei Huang

An electron or electron-positron beam streaming through a plasma is notoriously prone to micro-instabilities. For a dilute ultrarelativistic infinite beam, the dominant instability is a mixed mode between longitudinal two-stream and…

We investigate the transverse instability of two-component solitons forming in a planar waveguide operating in the regime of strong light-matter coupling. The instability emerges as a result of the coupling between transverse diffraction of…

Pattern Formation and Solitons · Physics 2025-11-07 Alexey V. Yulin , Dmitry A. Zezyulin

We investigate numerically interactions between two bright or dark incoherent localized beams in an strontium barium niobate photorefractive crystal in one dimension, using the coherent density method. For the case of bright beams, if the…

Pattern Formation and Solitons · Physics 2014-11-06 Yiqi Zhang , Milivoj R. Belić , Huaibin Zheng , Haixia Chen , Changbiao Li , Jianeng Xu , Yanpeng Zhang

We present an analysis of temporal modulation instability in a ring array of coupled optical fibers. Continuous-wave signals are shown to be unstable to perturbations carrying discrete angular momenta, both for normal and anomalous group…

Pattern Formation and Solitons · Physics 2019-08-28 Calum Maitland , Daniele Faccio , Fabio Biancalana

The evolution of the filamentation instability produced by two counter-streaming pair plasmas is studied with particle-in-cell (PIC) simulations in both one (1D) and two (2D) spatial dimensions. Radiation friction effects on particles are…

Plasma Physics · Physics 2015-09-16 M. D'Angelo , L. Fedeli , A. Sgattoni , F. Pegoraro , A. Macchi