Two-dimensional multipole solitons in nonlocal nonlinear media

Rotschild, Carmel; Segev, Mordechai; Xu, Zhiyong; Kartashov, Yaroslav V.; Torner, Lluís; Cohen, Oren

doi:10.1364/ol.31.003312

Cited by 247 publications

(148 citation statements)

References 30 publications

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“…The energy flow vanishes when 0 b → , but it diverges when b approaches the upper cutoff for dipole existence, given by 1/ S . Besides dipole solitons we found a number of higher-order soliton solutions (not shown here) that can be arranged into lines or necklace-like configurations [9].…”

Section: Saturation-mediated Stabilizationmentioning

confidence: 72%

“…The heat diffusion results in transversely inhomogeneous temperature distributions which depend on the temperatures at the sample boundaries and on the sample geometry. Temperature redistribution leads to a variation of local refractive index proportional to the temperature change [9,16]. The governing system of equations in dimensionless form thus writes as ν ≪ by many orders of magnitude, and it is justified to simplify the system (1) by neglecting nonlocality in the longitudinal direction.…”

Section: Geometry-mediated Stabilizationmentioning

confidence: 99%

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Stabilization of dipole solitons in nonlocal nonlinear media

Kartashov

Torner

2008

Phys. Rev. A

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We address the stabilization of dipole solitons in nonlocal nonlinear materials by two different approaches. First, we study the properties of such solitons in thermal nonlinear media, where the refractive index landscapes induced by laser beams strongly depend on the boundary conditions and on the sample geometry. We show how the sample geometry impacts the stability of higherorder solitons in thermal nonlinear media and reveal that dipole solitons can be made dynamically stable in rectangular geometries in contrast to their counterparts in thermal samples with square cross-section. Second, we discuss the impact of the saturation of the nonlocal nonlinear response on the properties of multipole solitons. We find that the saturable response also stabilizes dipole solitons even in symmetric geometries, provided that the input power exceeds a critical value.

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Section: Saturation-mediated Stabilizationmentioning

confidence: 72%

Section: Geometry-mediated Stabilizationmentioning

confidence: 99%

Stabilization of dipole solitons in nonlocal nonlinear media

Kartashov

Torner

2008

Phys. Rev. A

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“…Nonlocal spatial solitons are extensively investigated [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16] since the pioneering work of Snyder and Mithchell [1]. A topic that has captured a rising interest is the interaction between solitons and the boundaries [4][5][6][7][8], especially in lead glass.…”

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confidence: 99%

Boundary force exerted on spatial solitons in cylindrical strongly nonlocal media

et al. 2009

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We investigate the propagation of the spatial soliton in cylindrical strongly nonlocal media by a novel method of image beam of light. The effect of the boundary on the soliton acting as the dynamic force for the soliton steering is equivalent to the force between the soliton beam and the image beam. The trajectory of the soliton is analytically studied which is in good agreement with the experimental results.

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“…This system of equations, however, is generic and applies to a wide range of physical situations, including nonlinear, nonlocal media for which the response to a beam involves some sort of diffusive mechanism [35], for instance thermo-optic media [36] such as lead glasses [37][38][39] and photorefractive crystals [40]. A similar system of equations also arises in the so-called α models of turbulence [41,42].…”

Section: Introductionmentioning

confidence: 99%