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相关论文: Generic features of modulational instability in no…

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We study modulational instability (MI) of plane waves in nonlocal nonlinear Kerr media. For a focusing nonlinearity we show that, although the nonlocality tends to suppress MI, it can never remove it completely, irrespectively of the…

斑图形成与孤子 · 物理学 2009-11-07 Wieslaw Krolikowski , Ole Bang , Jens Juul Rasmuss , John Wyller

We discuss the modulational instability (MI) of plane waves in nonlocal Kerr media with the sine-oscillation response function, which can model the nematic liquid crystal with negative dielectric anisotropy. The results in the framework of…

斑图形成与孤子 · 物理学 2017-04-05 Zhuo Wang , Qi Guo , Weiyi Hong , Wei Hu

Modulational instability of continuous waves in nonlocal focusing and defocusing Kerr media with stochastically varying diffraction (dispersion) and nonlinearity coefficients is studied both analytically and numerically. It is shown that…

斑图形成与孤子 · 物理学 2009-11-13 E. V. Doktorov , M. A. Molchan

The modulational instability of two interacting waves in a nonlocal Kerr-type medium is considered analytically and numerically. For a generic choice of wave amplitudes, we give a complete description of stable/unstable regimes for zero…

斑图形成与孤子 · 物理学 2009-11-13 Evgeny V. Doktorov , Maxim A. Molchan

On the basis of the competing cubic-quintic nonlinearity model, stability (instability) of continuous waves in nonlocal random non-Kerr nonlinear media is studied analytically and numerically. Fluctuating media parameters are modeled by the…

斑图形成与孤子 · 物理学 2008-04-24 Maxim A. Molchan

We report on the experimental and numerical observation of polarization modulation instability (PMI) in a nonlinear fiber Kerr resonator. This phenomenon is phased-matched through the relative phase detuning between the intracavity fields…

It is shown that the properties of the modulational instability of partially coherent waves propagating in a nonlinear Kerr medium depend crucially on the profile of the incoherent field spectrum. Under certain conditions, the incoherence…

光学 · 物理学 2009-11-10 D. Anderson , L. Helczynski , M. Lisak , V. Semenov

The modulation instability (MI) is a universal mechanism that is responsible for the disintegration of weakly nonlinear narrow-banded wave fields and the emergence of localized extreme events in dispersive media. The instability dynamics is…

流体动力学 · 物理学 2017-09-06 O. Kimmoun , H. C. Hsu , B. Kibler , A. Chabchoub

To explore resonance phenomena in the nonlinear region, we show by experimental measurements and theoretical analyses that resonance happens in modulation instability (MI) from non-instantaneous nonlinearities in photorefractive crystals.…

We have investigated the modulational instability (MI) in a negative index media (NIM) using a new generalized model describing the pulse propagation in a negative index material embedded into a Kerr medium. We have found that one could…

经典物理 · 物理学 2015-05-19 Amarendra K. Sarma , Manirupa Saha

We present the first experimental investigation of modulational instability in a layered Kerr medium. The particularly interesting and appealing feature of our configuration, consisting of alternating glass-air layers, is the…

斑图形成与孤子 · 物理学 2009-11-11 Martin Centurion , Mason A. Porter , Ye Pu , P. G. Kevrekidis , D. J. Frantzeskakis , Demetri Psaltis

We analyse the nonlinear dynamics of Fabry-Perot cavities of arbitrary finesse filled by a dispersive Kerr medium, pumped by a continuous wave laser or a synchronous train of flat-top pulses. The combined action of feedback, group velocity…

光学 · 物理学 2023-09-15 Zoheir Ziani , Thomas Bunel , Auro M. Perego , Arnaud Mussot , Matteo Conforti

We present a novel approach to the analysis of a full model of scalar modulation instability (MI) by means of a simple geometrical description in the power vs. frequency plane. This formulation allows to relate the shape of the MI gain to…

光学 · 物理学 2017-01-20 S. M. Hernandez , P. I. Fierens , J. Bonetti , A. D. Sánchez , D. F. Grosz

This paper analyzes the behaviors of solitons in even higher-order dispersive media and explores the modulational instability phenomenon in optical media. The analysis considers quadratic, quartic, and sextic dispersions with weakly…

We characterize the nonlinear stage of modulational instability (MI) by studying the long-time asymptotics of focusing nonlinear Schrodinger (NLS) equation on the infinite line with initial conditions that tend to constant values at…

斑图形成与孤子 · 物理学 2016-02-03 Gino Biondini , Dionyssis Mantzavinos

We investigate analytically, numerically, and experimentally the modulational instability in a layered, cubically-nonlinear (Kerr) optical medium that consists of alternating layers of glass and air. We model this setting using a nonlinear…

斑图形成与孤子 · 物理学 2009-11-11 Martin Centurion , Mason A. Porter , Ye Pu , P. G. Kevrekidis , D. J. Frantzeskakis , Demetri Psaltis

We present a detailed analysis of the modulational instability (MI) of ground-state bright solitary solutions of two incoherently coupled nonlinear Schr\"odinger equations. Varying the relative strength of cross-phase and self-phase effects…

patt-sol · 物理学 2009-10-31 Dmitry V. Skryabin , William J. Firth

Evidence is presented of universal behavior in modulationally unstable media. An ensemble of nonlinear evolution equations, including three partial differential equations, an integro-differential equation, a nonlocal system and a…

斑图形成与孤子 · 物理学 2017-10-17 Gino Biondini , Sitai Li , Dionyssis Mantzavinos , Stefano Trillo

We investigate the nontrivial characteristics of modulational instability (MI) in a system of Bragg gratings with saturable nonlinearity. We also introduce an equal amount of gain and loss into the existing system which gives rise to an…

斑图形成与孤子 · 物理学 2023-05-24 K. Tamilselvan , A. Govindarajan , I. Inbavalli , T. Alagesan , M. Lakshmanan

We investigate theoretically the fundamental phenomenon of the spontaneous, noise-induced modulational instability (MI) of a plane wave. The long-term statistical properties of the noise-induced MI have been previously observed in…

可精确求解与可积系统 · 物理学 2019-12-11 Andrey Gelash , Dmitry Agafontsev , Vladimir Zakharov , Gennady El , Stephane Randoux , Pierre Suret
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