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With reference to spatially non-local nematic liquid crystals, we develop a theory of optical spatial solitons and modulational instability in anisotropic media with arbitrarily large birefringence. Asymmetric spatial profiles and…

Optics · Physics 2007-05-23 Claudio Conti , Marco Peccianti , Gaetano Assanto

We address the interactions between optical solitons in the system with longitudinally varying nonlocality degree and nonlinearity strength. We consider a physical model describing light propagation in nematic liquid crystals featuring a…

Pattern Formation and Solitons · Physics 2009-11-13 Fangwei Ye , Yaroslav V. Kartashov , Lluis Torner

We investigate theoretically the interaction of dark solitons in materials with a spatially nonlocal nonlinearity. In particular we do this analytically and for arbitrary degree of nonlocality. We employ the variational technique to show…

Pattern Formation and Solitons · Physics 2015-05-19 Qian Kong , Q. Wang , O. Bang , W. Krolikowski

We investigate the propagation of partially coherent beams in spatially nonlocal nonlinear media with a logarithmic type of nonlinearity. We derive analytical formulas for the evolution of the beam parameters and conditions for the…

Pattern Formation and Solitons · Physics 2009-11-10 Wieslaw Krolikowski , Ole Bang , John Wyller

We present an overview of recent advances in the understanding of optical beams in nonlinear media with a spatially nonlocal nonlinear response. We discuss the impact of nonlocality on the modulational instability of plane waves, the…

Pattern Formation and Solitons · Physics 2009-11-10 W. Krolikowski , O. Bang , N. I. Nikolov , D. Neshev , J. Wyller , J. J. Rasmussen , D. Edmundson

Intense light propagating in a nonlinear medium can generate an ensemble of interacting filaments of light, or spatial solitons. Using nematic liquid crystals, we demonstrate that they undergo a collective behavior typical of complex…

Optics · Physics 2009-11-11 Claudio Conti , Marco Peccianti , Gaetano Assanto

We question physical existence of shape invariant solitons in three dimensional nematic liquid crystals. Using modified Petviashvili's method for finding eigenvalues and eigenfunctions, we determine shape invariant solitons in a realistic…

We study the formation of azimuthons, i.e., rotating spatial solitons, in media with nonlocal focusing nonlinearity. We show that whole families of these solutions can be found by considering internal modes of classical non-rotating…

Pattern Formation and Solitons · Physics 2010-03-16 F. Maucher , D. Buccoliero , S. Skupin , M. Grech , A. S. Desyatnikov , W. Krolikowski

In a recent paper [A. Alberucci, C. Jisha, N. Smyth, and G. Assanto, Phys. Rev. A 91, 013841 (2015)], Alberucci et al. have studied the propagation of bright spatial solitary waves in highly nonlocal media. We find that the main results in…

We report on the observation and quantitative assessment of self-trapped pulsating beams in a highly non-local nonlinear regime. The experiments were conducted in nematic liquid crystals and allow a meaningful comparison with the prediction…

Optics · Physics 2009-11-10 Claudio Conti , Marco Peccianti , Gaetano Assanto

Spatial solitons can exist in various kinds of nonlinear optical resonators with and without amplification. In the past years different types of these localized structures such as vortices, bright, dark solitons and phase solitons have been…

Pattern Formation and Solitons · Physics 2009-11-07 V. B. Taranenko , G. Slekys , C. O. Weiss

We model discrete spatial solitons in a periodic nonlinear medium encompassing any degree of transverse non locality. Making a convenient reference to a widely used material -nematic liquid crystals-, we derive a new form of the discrete…

Pattern Formation and Solitons · Physics 2009-11-11 Andrea Fratalocchi , Gaetano Assanto

A novel phenomenon is discovered that the short-range interaction between strongly nonlocal spatial solitons depends sinusoidally on their phase difference. The two neighbouring solitons at close proximate can be inter-trapped via the…

Optics · Physics 2011-02-28 Wei Hu , Shigen Ouyang , Pingbao Yang , Qi Guo

We discuss differences between the variational approach to solitons and the accessible soliton approximaion in a highly nonlocal nonlinear medium. We compare results of both approximations by considering the same system of equations in the…

Pattern Formation and Solitons · Physics 2015-06-18 Branislav N. Aleksić , Najdan B. Aleksić , Milan S. Petrović , Aleksandra I. Strinić , Milivoj R. Belić

We demonstrate the existence of stable three-dimensional spatiotemporal solitons (STSs) in media with a nonlocal cubic nonlinearity. Fundamental (nonspinning) STSs forming one-parameter families are stable if their propagation constant…

Pattern Formation and Solitons · Physics 2009-11-11 D. Mihalache , D. Mazilu , F. Lederer , B. A. Malomed , Y. V. Kartashov , L. -C. Crasovan , L. Torner

Droplet solitons are a strongly nonlinear, inherently dynamic structure in the magnetization of ferromagnets, balancing dispersion (exchange energy) with focusing nonlinearity (strong perpendicular anisotropy). Large droplet solitons have…

Pattern Formation and Solitons · Physics 2015-06-29 L. D. Bookman , M. A. Hoefer

We present a brief overview of the basic concepts of the soliton stability theory and discuss some characteristic examples of the instability-induced soliton dynamics, in application to spatial optical solitons described by the NLS-type…

Pattern Formation and Solitons · Physics 2018-04-23 Yuri S. Kivshar , Andrey A. Sukhorukov

We investigate the propagation of one-dimensional bright and dark spatial solitons in a nonlocal Kerr-like media, in which the nonlocality is of general form. We find an exact analytical solution to the nonlinear propagation equation in the…

Pattern Formation and Solitons · Physics 2009-10-31 Wieslaw Krolikowski , Ole Bang

We investigate one-dimensional Helmholtz solitons with nonlocal nonlinearity. We show an exact analytical solution to the nonlocal nonlinear nonparaxial propagation equation in the cases of high and weak nonlocality. We also numerically…

Pattern Formation and Solitons · Physics 2013-01-01 Jilong Chen , Zhiwei Shi , Huagang Li

We reveal that nonlocality can provide a simple physical mechanism for stabilization of multi-hump optical solitons, and present the first example of stable rotating dipole solitons and soliton spiraling, known to be unstable in all types…

Pattern Formation and Solitons · Physics 2013-09-06 Servando Lopez-Aguayo , Anton S. Desyatnikov , Yuri S. Kivshar , Stefan Skupin , Wieslaw Krolikowski , Ole Bang
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