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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…

We have investigated modulation instability in metamaterials (MM) with both cubic and quintic nonlinearities, based on a model appropriate for pulse propagation in MMs with cubic-quintic nonlinearities and higher order dispersive effects.…

Optics · Physics 2012-12-20 Manirupa Saha , Amarendra K. Sarma

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…

Pattern Formation and Solitons · Physics 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…

Pattern Formation and Solitons · Physics 2009-11-13 E. V. Doktorov , M. A. Molchan

In this paper intermodal modulational instability (IM-MI) is analyzed in a multimode fiber where several spatial and polarization modes propagate. The coupled nonlinear Schr\"{o}dinger equations describing the modal evolution in the fiber…

Pattern Formation and Solitons · Physics 2015-10-28 M. Guasoni

The modulational instability (MI) of plane waves in nonlocal Kerr media is studied for a general, localized, response function. It is shown that there always exists a finite number of well-separated MI gain bands, with each of them…

Pattern Formation and Solitons · Physics 2009-11-07 John Wyller , Wieslaw Krolikowski , Ole Bang , Jens Juul Rasmussen

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…

Pattern Formation and Solitons · Physics 2009-11-11 Martin Centurion , Mason A. Porter , Ye Pu , P. G. Kevrekidis , D. J. Frantzeskakis , Demetri Psaltis

The effects of the non-linearity of the medium on the growth rate of filamentation instability in a magnetized plasma interacting with an intense laser pulse, is investigated. The non-linearity of the medium, modeled by Kerr non-linearity,…

Plasma Physics · Physics 2018-02-22 Sepideh Dashtestani , Akbar Parvazian , Hamidreza Mohammadi

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…

Pattern Formation and Solitons · Physics 2009-11-11 Martin Centurion , Mason A. Porter , Ye Pu , P. G. Kevrekidis , D. J. Frantzeskakis , Demetri Psaltis

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…

Pattern Formation and Solitons · Physics 2009-11-07 Wieslaw Krolikowski , Ole Bang , Jens Juul Rasmuss , John Wyller

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…

Optics · Physics 2009-11-10 D. Anderson , L. Helczynski , M. Lisak , V. Semenov

The occurrence of the modulational instability (MI) in transverse dust lattice waves propagating in a one-dimensional dusty plasma crystal is investigated. The amplitude modulation mechanism, which is related to the intrinsic nonlinearity…

Soft Condensed Matter · Physics 2009-11-10 I. Kourakis , P. K. Shukla

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…

Pattern Formation and Solitons · Physics 2009-11-13 Evgeny V. Doktorov , Maxim A. Molchan

The spatial dynamics of pulses in Kerr media with parabolic index profile are examined. It is found that when diffraction and graded-index have opposite signs propagating pulses exhibit an oscillatory pattern, similar to a breathing…

Optics · Physics 2010-02-03 Theodoros P. Horikis , Hector E. Nistazakis

We investigate modulational instability (MI) in asymmetric dual-core nonlinear directional couplers incorporating the effects of the differences in effective mode areas and group velocity dispersions, as well as phase- and group-velocity…

Pattern Formation and Solitons · Physics 2019-08-28 A. Govindarajan , Boris A. Malomed , A. Mahalingam , A. Uthayakumar

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…

We present an investigation of the modulational instability of partially coherent signals in electrical transmission lines. Starting from the modified Ginzburg-Landau equations and the Wigner-Moyal representation, we derive a nonlinear…

Optics · Physics 2007-05-23 M. Marklund , P. K. Shukla

The dynamics of the modulation instability induced by cross phase modulation is studied by considering the influence of the walk-off and noninstantaneous response effects for two copropagating optical fields travelling in the anomalous…

Optics · Physics 2017-11-08 Askery Canabarro , B. Santos , B. de Lima Bernardo

We study modulational instability in a dispersion-managed system where the sign of the group-velocity dispersion is changed at uniformly distributed random distances around a reference length. An analytical technique is presented to…

Modulation instability in a nonlinear optical waveguide array with alternating positive and negative refractive indices is investigated analytically. Particular solutions of a system of coupled nonlinear equations are found. These solutions…

Pattern Formation and Solitons · Physics 2014-09-30 A. A. Dovgiy , A. I. Maimistov
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