Spiraling multivortex solitons in nonlocal nonlinear media

Buccoliero, Daniel; Desyatnikov, Anton S.; Królikowski, Wiesław; Kivshar, Yuri S.

doi:10.1364/ol.33.000198

Cited by 107 publications

(60 citation statements)

References 23 publications

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“…Rotating high-order LG beams have been studied in the past by superposing beams with multiple and non-circularly symmetric phase dislocations about the optical axis [16]. Moreover, Hermite-LaguerreGaussian modes or multi-vortex solitons have been reported to rotate as they propagate in non-linear media [17,18]. In contrast to these previous works, the optical twister has a single phase-dislocation along the optical axis with phase and amplitude profile spiraling as the beam propagates in free space.…”

Section: Introductionmentioning

confidence: 99%

Optical twists in phase and amplitude

2011

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Light beams with helical phase profile correspond to photons having orbital angular momentum (OAM). A Laguerre-Gaussian (LG) beam is an example where its helical phase sets a phase-singularity at the optical axis and forms a ring-shaped transverse amplitude profile. Here, we describe a unique beam where both phase and amplitude express a helical profile as the beam propagates in free space. Such a beam can be accurately referred to as an optical twister. We characterize optical twisters and demonstrate their capacity to induce spiral motion on particles trapped along the twisters' path. Unlike LG beams, the far field projection of the twisted optical beam maintains a high photon concentration even at higher values of topological charge. Optical twisters have therefore profound applications to fundamental studies of light and atoms such as in quantum entanglement of the OAM, toroidal traps for cold atoms and for optical manipulation of microscopic particles. ©2011 Optical Society of America

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Section: Introductionmentioning

confidence: 99%

Optical twists in phase and amplitude

2011

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“…The propagation of an optical beam in a nonlocal nonlinear medium in the paraxial approximation is described by NNLSE [3]:…”

Section: The Moments Methods Analysismentioning

confidence: 99%

“…Many novel features of the nonlocal nonlinearity such as the suppression of collapse [1] and the support of vortex solitons [2,3] have been found. In strongly nonlocal nonlinear (SNN) media, the characteristic length of the material response function is much larger than the beam width.…”

Section: Introductionmentioning

confidence: 99%

Evolution of Cos-Gaussian Beams in a Strongly Nonlocal Nonlinear Medium

Guan¹,

Zhong²,

Chew³

et al. 2013

PIER

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Abstract-The dynamical properties of cos-Gaussian beams in strongly nonlocal nonlinear (SNN) media are theoretically investigated. Based on the moments method, the analytical expression for the rootmean-square (RMS) of the cos-Gaussian beam propagating in a SNN medium is derived. The critical powers that keep the RMS beam widths invariant during propagation in a SNN medium are discussed. The RMS beam width tends to evolve periodically when the initial power does not equal to the critical power. The analytical solution of the cos-Gaussian beams in SNN media is obtained by the technique of variable transformation. Despite the difference in beam profile symmetries and initial powers, a cos-Gaussian beam always transforms periodically into a cosh-Gaussian beam during propagation and the transformation between the two beams revives after a propagation distance.

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“…It has been found that the nonlocality can prevent the collapse of self-focusing beams in media with cubic nonlinearity [14], suppress azimuthal instabilities of vortex solitons [15], and stabilize Laguerre soliton clusters, azimuthons, and multipole solitons [12]. The evolution of optical beams in nonlocal nonlinear media is governed by the nonlocal nonlinear Schrödinger (NNS) equation [12,16].…”

Section: I Introductionmentioning

confidence: 99%

Three-dimensional Spatiotemporal Accessible Solitons in a PT-symmetric Potential

Zhong¹,

Belić²,

Huang³

2012

Journal of the Optical Society of Korea

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Utilizing the three-dimensional Snyder-Mitchell model with a PT-symmetric potential, we study the influence of PT symmetry on beam propagation in strongly nonlocal nonlinear media. The complex Coulomb potential is used as the PT-symmetric potential. A localized spatiotemporal accessible soliton solution of the model is obtained. Specific values of the modulation depth for different soliton parameters are discussed. Our results reveal that in these media the localized solitons can exist in various shapes, such as single-layer and multi-layer disk-shaped structures, as well as vortex-ring and necklace patterns.

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Spiraling multivortex solitons in nonlocal nonlinear media

Cited by 107 publications

References 23 publications

Optical twists in phase and amplitude

Optical twists in phase and amplitude

Evolution of Cos-Gaussian Beams in a Strongly Nonlocal Nonlinear Medium

Three-dimensional Spatiotemporal Accessible Solitons in a PT-symmetric Potential

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