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Hamiltonian and phase-space representation of spatial solitons
2014
Optics Communications
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We use Hamiltonian ray tracing and phase-space representation to describe the propagation of a single spatial soliton and soliton collisions in a Kerr nonlinear medium. ...
Hamiltonian ray tracing is applied using the iterative nonlinear beam propagation method, which allows taking both wave effects and Kerr nonlinearity into consideration. ...
In a Kerr nonlinear medium, the refractive index changes proportional to the intensity distribution; thus the index profile for the spatial soliton is n(x, z) = n 0 + n 2 A 2 0 sech 2 (x/w 0 ), (3) where ...
doi:10.1016/j.optcom.2013.12.034
fatcat:sis75usydjb3hpeudzjnj4lkaa
Optical Spatial Solitons and Their Interactions: Universality and Diversity
1999
Science
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The first spatial solitons were suggested in nonlinear optical Kerr media in the 1960s (7) . ...
Collisions in saturable nonlinear media are more diverse and interesting than those found in Kerr media, because saturable nonlinear media can support (2 ϩ 1)D solitons, allowing collisions in full 3D ...
doi:10.1126/science.286.5444.1518
pmid:10567250
fatcat:oraukuoeijaeldcw5awjtbu4q4
Interaction of noncollinear spatial solitons in a nonlinear optical medium
2004
Journal of the Optical Society of America. B, Optical physics
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2004 pre-print arXiv:cond-mat/0407408v1 fatcat:hhbn4jgyi5fvxkyavp35neyhce
This justifies the use of geometrical optics approach for description of elastic and almost-elastic collision processes both in Kerr and saturable nonlinear media. ...
The effects caused by nonresonant nonlinear interaction between noncollinear self-focusing beams are considered in 2D optical samples using multi-scale analysis. ...
of the refraction index due to the nonlinear reaction of the medium (Kerr effect). ...
doi:10.1364/josab.21.002175
fatcat:o7yc6mgdzzfwtpsxabt2hzqoma
Stable spatial and spatiotemporal optical soliton in the core of an optical vortex
[article]
2015
arXiv
pre-print
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2015 pre-print arXiv:1510.03663v2 fatcat:egt4ysvamve4vmdofi43eh7aluOther Versions
Two such solitons moving along the vortex core can undergo a quasi-elastic collision at medium velocities. ...
We demonstrate a robust, stable, mobile, two-dimensional (2D) spatial and three-dimensional (3D) spatiotemporal optical soliton in the core of an optical vortex, while all nonlinearities are of the cubic ...
A 2D spatial vortex in an infinite repulsive Kerr medium has been experimentally observed [14] and theoretically studied [15] . ...
arXiv:1510.03663v3
fatcat:mkwpgj6jjvex7beqikask6bpga
Stable spatial and spatiotemporal optical soliton in the core of an optical vortex
2015
Physical Review E
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Two such solitons moving along the vortex core can undergo a quasi-elastic collision at medium velocities. ...
We demonstrate a robust, stable, mobile, two-dimensional (2D) spatial and three-dimensional (3D) spatiotemporal optical soliton in the core of an optical vortex, while all nonlinearities are of the cubic ...
A 2D spatial vortex in an infinite repulsive Kerr medium has been experimentally observed [14] and theoretically studied [15] . ...
doi:10.1103/physreve.92.042926
pmid:26565323
fatcat:cbqhdmkyyjbrtojdar4dko3e5e
Bright spatial solitons in non-Kerr media: stationary beams and dynamical evolution
1997
Journal of the Optical Society of America. B, Optical physics
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., for pulse propagation in fibers) even for stationary spatial solitons of a bulk medium. ...
To be stable in a bulk medium, such beams should propagate in a non-Kerr medium. ...
exist in analogy with those of a Kerr medium. ...
doi:10.1364/josab.14.003025
fatcat:2jqbehthsrfxhnup7lm5zgauei
Asymmetric partially coherent solitons in saturable nonlinear media
1999
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
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We investigate theoretically properties of partially coherent solitons in optical nonlinear media with slow saturable nonlinearity. ...
We have found numerically that such a medium can support spatial solitons which are asymmetric in shape and are composed of only a finite number of modes associated with the self-induced waveguide. ...
It has been shown, in this limit, that solitons of arbitrary shape may exist for nonlinearities other than Kerr-like. ...
doi:10.1103/physreve.60.2377
pmid:11970034
fatcat:obculbw4pvdqpj7ze7dyyjchwu
Information transfer via cascaded collisions of vector solitons
2001
Optics Letters
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We demonstrate experimentally the transport of information from one vector (Manakov-like) spatial soliton to another via collisions with a third, intermediate soliton. ...
Vector solitons consist of two (or more) field components that mutually self-trap in a nonlinear medium. ...
. 5 One could, of course, employ collisions of solitons in nonintegrable systems, such as spatial solitons in saturable nonlinearities, 3 in which case the number of solitons is not always conserved ...
doi:10.1364/ol.26.001498
pmid:18049647
fatcat:rmxbg5ph7bcqlhd4y4sybs2ktu
Optical spatial solitons: historical perspectives
2000
IEEE Journal of Selected Topics in Quantum Electronics
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Optical spatial solitons are self-trapped optical beams that exist by virtue of the balance between diffraction and nonlinearity. ...
Solitons, in general, manifest themselves in a large variety of wave/particle systems in nature: practically in any system that possesses both dispersion (in time or space) and nonlinearity. ...
This soliton requires a self-defocusing environment, that is, in a Kerr medium. ...
doi:10.1109/2944.902197
fatcat:6jtzpe7drvbnhcplv2rjar2a2u
Solitons in nonlocal nonlinear media: Exact solutions
2000
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
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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 case of weak nonlocality. We study the properties of these solitons and show their stability. ...
Propagation and collision of identical dark solitons with 0 ϭ10 1 ϭ1 in a weakly nonlocal medium with ␥ϭ0.1.
͑3͒ describes the local Kerr nonlinearity. ...
doi:10.1103/physreve.63.016610
pmid:11304381
fatcat:lmr4zj2mwbhzrn65q6rkyrifke
Phase-dependent collisions of (2+1) -dimensional spatial solitons
1998
Journal of the Optical Society of America. B, Optical physics
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Coherent collisions of (2 ϩ 1)-dimensional spatial solitons in photorefractive media are studied. Phasedependent switching of the spatial location of the output beams is demonstrated. ...
The experimental results are in close agreement with a three-dimensional numerical calculation. ...
A cubic Kerr nonlinearity in one-transverse dimension is an integrable model, within which soliton collisions are purely elastic. 19 Here we work with a nonintegrable system in which inelastic scattering ...
doi:10.1364/josab.15.002079
fatcat:uejig6fnwzfdxazhwzcylpzfrq
Spatial Discrete Soliton in Homogeneous Two Dimensional Waveguide Arrays with Kerr Medium
2014
Biosciences Biotechnology Research Asia
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Behaviors of discrete spatial solitons in nonlinear mediums have recently received a plenty of research interest. ...
In this study, for the first time, the effects of diagonal neighbors on spatial discrete solitons in a two dimensional waveguide with Kerr medium are investigated. ...
Behaviors of discrete spatial solitons in nonlinear mediums have recently received a plenty of research interest. ...
doi:10.13005/bbra/1370
fatcat:uztdtaes5ffadllxo2tur5qgjq
Interaction of spatial photorefractive solitons
1998
Quantum and semiclassical optics (Print)
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In the case of mutually incoherent solitons, we show that the photorefractive nonlinearity leads to an anomalous interaction between solitons. ...
We show that the collision of coherent solitons may result in energy exchange, fusion of the interacting solitons, the birth of a new solitary beam or the complete annihilation of some of them, depending ...
Contributers from Darmstadt University of Technology acknowledge support from Sonderforschungsbereich 185 'Nonlinear Dynamics' and would like to thank Professor T Tschudi as well as Professor F Kaiser ...
doi:10.1088/1355-5111/10/6/014
fatcat:3sxde7joqrfgljimpxsolqa3ua
Optical spatial solitons: historical overview and recent advances
2012
Reports on progress in physics (Print)
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be the exact solutions of the cubic nonlinear Schrödinger equation as established for ideal Kerr nonlinear media. ...
In particular, the study of incoherent solitons and discrete spatial solitons in optical periodic media not only led to advances in our understanding of fundamental processes in nonlinear optics and photonics ...
Acknowledgments This work was supported in part by the US National Science Foundation and Air Force Office of Scientific Research. ZC and DC thank Arje Nachman at AFOSR for his continued support. ...
doi:10.1088/0034-4885/75/8/086401
pmid:22836010
fatcat:wgsll5v3zrgl7a7e3dgesdowbm
Energy-Exchange Interactions between Colliding Vector Solitons
1999
Physical Review Letters
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. 2 Vector solitons consist of two (or more) components that mutually self-trap in a nonlinear medium. ...
In contrast to the Kerr nonlinearity, the photorefractive nonlinearity is saturable, but coincides with the Kerr nonlinearity in the limit of very low intensities [7]. ...
To avoid the strong transverse instability (which occurs for 1+1 D Kerr solitons in a bulk medium, and is suppressed in saturable nonlinearities if the total intensity is > 1 [9] ), we work at intensities ...
doi:10.1103/physrevlett.83.2332
fatcat:ombjv5a5i5dippsobql7bfe7be
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