English
Related papers

Related papers: Light bullets in Bessel optical lattices with spat…

200 papers

We present a one dimensional model for the nonlinear response of a colloidal crystal to intense light illumination along a high symmetry direction. The strong coupling between light and the colloidal lattice, via the electric gradient force…

Condensed Matter · Physics 2009-10-30 E. Lidorikis , Qiming Li , C. M. Soukoulis

Using a combination of the variation approximation (VA) and direct simulations, we consider the light transmission in nonlinearly amplified bulk media, taking into account the localization of the gain, i.e., the linear loss shaped as a…

Optics · Physics 2015-05-19 V. Skarka , N. B. Aleksić , H. Leblond , B. A. Malomed , D. Mihalache

We report that infinite and semi-infinite lattices with spatially inhomogeneous self-defocusing (SDF)\ onsite nonlinearity, whose strength increases rapidly enough toward the lattice periphery, support stable unstaggered (UnST) discrete…

Pattern Formation and Solitons · Physics 2015-06-17 Goran Gligoric , Aleksandra Maluckov , Ljupco Hadzievski , Boris Malomed

We study the modulational stability of the nonlinear Schr\"odinger equation (NLS) using a time-dependent variational approach. Within this framework, we derive ordinary differential equations (ODEs) for the time evolution of the amplitude…

Soft Condensed Matter · Physics 2009-11-10 Z. Rapti , P. G. Kevrekidis , A. Smerzi , A. R. Bishop

We present an optical fiber experiment in which we examine the space-time evolution of a modulationally unstable plane wave initially perturbed by a small noise. Using a recirculating fiber loop as experimental platform, we report the…

Optics · Physics 2019-09-04 Adrien Kraych , Dmitry Agafontsev , Stephane Randoux , Pierre Suret

Interest in the elastic properties of regular lattices constructed from domain walls has recently been motivated by cosmological applications as solid dark energy. This work investigates the particularly simple examples of triangular,…

High Energy Physics - Theory · Physics 2009-11-11 Richard A. Battye , Elie Chachoua , Adam Moss

Spatiotemporal mode-locking (STML) has become an emerging approach to realize organized wavepackets in high-dimensional nonlinear photonic systems. Mode-locking in one dimensional systems employs a saturable absorber to resist fluctuations…

We theoretically examine the effect of external optical injection on the spatio-temporal dynamics of class-B broad-area lasers. We demonstrate that optical injection can efficiently stabilize the intrinsic transverse instabilities in such…

Optics · Physics 2017-04-05 A. V. Pakhomov , R. M. Arkhipov , N. E. Molevich

Photonic lattices facilitate band structure engineering, supporting both localized and extended modes through their geometric design. However, greater control over these modes can be achieved by taking advantage of the interference effect…

We consider a family of regularized defocusing nonlinear Schrodinger (NLS) equations proposed in the context of the cubic NLS equation with a bounded dispersion relation. The time evolution is well-posed if the black soliton is perturbed by…

Analysis of PDEs · Mathematics 2023-04-12 Dmitry E. Pelinovsky , Michael Plum

We consider a system of two Gross-Pitaevskii (GP) equations, in the presence of an optical-lattice (OL) potential, coupled by both nonlinear and linear terms. This system describes a Bose-Einstein condensate (BEC) composed of two different…

Chaotic Dynamics · Physics 2009-11-10 Mason A. Porter , P. G. Kevrekidis , B. A. Malomed

In this study, we investigate the existence and stability of in-phase and out-of-phase dissipative solitons in a dual-waveguide lattice with linear localized gain and nonlinear losses under both focusing and defocusing nonlinearities.…

Optics · Physics 2024-09-27 Zhenfen Huang , Changming Huang , Chunyan Li , Pengcheng Liu , Liangwei Dong

We theoretically study the properties of one-dimensional nonlinear saturable photonic lattices exhibiting multiple mobility windows for stationary solutions. The effective energy barrier decreases to a minimum in those power regions where a…

Pattern Formation and Solitons · Physics 2011-04-19 Uta Naether , Rodrigo A. Vicencio , Milutin Stepić

We discuss existence and stability of two-dimensional solitons in media with spatially nonlocal nonlinear response. We show that such systems, which include thermal nonlinearity and dipolar Bose Einstein condensates, may support a variety…

Pattern Formation and Solitons · Physics 2007-05-23 S. Skupin , O. Bang , D. Edmundson , W. Krolikowski

We address the concept of three-dimensional light bullet formation in structures where nonlinearity and dispersion are contributed by different materials, including metamaterials, which are used at their best to create suitable conditions…

Optics · Physics 2015-05-13 Lluis Torner , Yaroslav V. Kartashov

We show that the emission of broad area semiconductor amplifiers and lasers can be efficiently stabilized by introducing, two-dimensional periodic modulations simultaneously on both the refractive index and the pump (gain-loss) profiles, in…

Optics · Physics 2018-07-04 W. W. Ahmed , S. Kumar , J. Medina , M. Botey , R. Herrero , K. Staliunas

The nonlinear Dirac equation for Bose-Einstein condensates in honeycomb optical lattices gives rise to relativistic multi-component bright and dark soliton solutions. Using the relativistic linear stability equations, the relativistic…

Quantum Gases · Physics 2015-06-30 L. H. Haddad , Lincoln D. Carr

We numerically investigate azimuthal modulation instability in an optical fiber supporting orbital angular momentum modes only, i.e. a vortex fiber, by means of the scalar multimode unidirectional pulse propagation equation. We demonstrate…

Optics · Physics 2024-03-12 Bertrand Kibler , Pierre Béjot

We present the first experimental observation of modulation instability of partially spatially incoherent light beams in non-instantaneous nonlinear media. We show that even in such a nonlinear partially coherent system (of…

We address the issue of mobility of localized modes in two-dimensional nonlinear Schr\"odinger lattices with saturable nonlinearity. This describes e.g. discrete spatial solitons in a tight-binding approximation of two-dimensional optical…

Pattern Formation and Solitons · Physics 2009-11-11 Rodrigo A. Vicencio , Magnus Johansson