Observation of vector solitons with hidden vorticity

Izdebskaya, Yana V.; Rebling, Johannes; Desyatnikov, Anton S.; Kivshar, Yuri S.

doi:10.1364/ol.37.000767

Cited by 37 publications

(20 citation statements)

References 13 publications

(17 reference statements)

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“…This is due to nonlocality as the nematic response extends far beyond the optical beams and acts as an attractive potential. This attraction of nonlinear beams in (nonlocal) liquid crystals is in accord with experimental observations [19,20] and theoretical results [29,57].…”

Section: Resultssupporting

confidence: 89%

“…By substituting (20) and the trial function (5) for the electric field E into the Green's function solution (4) for θ , and using the previously discussed asymptotic δ function approximation valid in the nonlocal limit to evaluate the resulting integral, the director angle for the half plane is…”

Section: B Stability Analysismentioning

confidence: 99%

“…In addition, optical vortex solitary waves are unstable in local media, but are stable in nonlocal media, such as nematic liquid crystals, as the symmetry-breaking mode-2 azimuthal instability is suppressed if the nonlocality is large enough [13,14]. In contrast to local media [11,15], optical vortex solitary waves in nonlocal media have received considerably less attention, especially in a NLC [14,[16][17][18][19][20][21].…”

Section: Introductionmentioning

confidence: 99%

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Optical vortex solitary wave in a bounded nematic-liquid-crystal cell

et al. 2013

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Modulation theory, based on a Lagrangian formulation of the governing equations, is used to investigate the propagation of a nonlinear, nonlocal optical vortex solitary wave in a finite nematic-liquid-crystal cell. The nematic response to the vortex is calculated using the approach of themethod of images (MOI). It is demonstrated that the MOI is a reliable alternative to the usual Fourier series solution as it requires an order of magnitude fewer terms to obtain excellent agreement with numerical solutions. It is found that the cell walls, in addition to repelling the optical vortex solitary wave, as for an optical solitary wave, can destabilize it due to the fixed director orientation at the walls. A linearized stability analysis is used to explain and analyze this instability. In particular, the minimum distance of approach of a stable vortex to the wall is determined from the stability analysis. Good agreement is found with numerical minimum approach distances. Modulation theory, based on a Lagrangian formulation of the governing equations, is used to investigate the propagation of a nonlinear, nonlocal optical vortex solitary wave in a finite nematic-liquid-crystal cell. The nematic response to the vortex is calculated using the approach of the method of images (MOI). It is demonstrated that the MOI is a reliable alternative to the usual Fourier series solution as it requires an order of magnitude fewer terms to obtain excellent agreement with numerical solutions. It is found that the cell walls, in addition to repelling the optical vortex solitary wave, as for an optical solitary wave, can destabilize it due to the fixed director orientation at the walls. A linearized stability analysis is used to explain and analyze this instability. In particular, the minimum distance of approach of a stable vortex to the wall is determined from the stability analysis. Good agreement is found with numerical minimum approach distances. Optical vortex solitary wave in a bounded nematic-liquid-crystal cell

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Section: Resultssupporting

confidence: 89%

Section: B Stability Analysismentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Optical vortex solitary wave in a bounded nematic-liquid-crystal cell

et al. 2013

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“…We assume that one of the beams is a solitary wave and the other is a charge 1 optical vortex, as produced, for example, by a phase mask [21], a hologram [22], or a light modulator [23]. We consider light to propagate in the z direction, with x the polarization direction of the associated electric field.…”

Section: Modulation Equationsmentioning

confidence: 99%

Deflection of nematicon-vortex vector solitons in liquid crystals

2014

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The deflection of a vector soliton formed by a solitary wave and an optical vortex in nematic liquid crystals is investigated upon interaction with a localized refractive index defect. The azimuthal instability of the vortex can be triggered by the index perturbation and enhanced by the distortion of the copropagating solitary wave when in the vicinity of the defect. A modulation theory is developed to study the refraction of the vector soliton and is found to be in good agreement with numerical solutions. This model reveals the crucial role of the diffractive radiation shed by both beam components as they evolve, showing that radiation reduces the destabilizing effect of the solitary wave interaction with the vortex, thus enlightening the effect of this continuous spectrum on the evolution of the nonlinear wave packets.

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“…These works have shown that the vector solitons with an explicit vorticity are always unstable against splitting in saturable nonlinear media [59]. In a recent paper the propagation of fundamental charged vortex pairs with hidden and explicit vortices was demonstrated experimentally in nematic liquid crystals [65], which shows that vortex pairs with hidden vorticity can be stable but vortex pairs with explicit vorticity always break up and transform into vector dipole solitons.…”

Section: Introductionmentioning

confidence: 99%

Stabilization of counter-rotating vortex pairs in nonlocal media

et al. 2012

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The dynamics of vector vortex pairs with explicit and hidden vorticity in nonlocal media with an arbitrary degree of nonlocality is investigated analytically and numerically. We show that the stability dynamics of the vortex pairs depends crucially upon their total angular momentum, the topological charge, and the degree of nonlocality. In particular, we show that nonlocality eliminates the splitting of the vortex pairs, improves their propagation stability, and leads to formation of stationary bound states of vortex pairs.

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Observation of vector solitons with hidden vorticity

Cited by 37 publications

References 13 publications

Optical vortex solitary wave in a bounded nematic-liquid-crystal cell

Optical vortex solitary wave in a bounded nematic-liquid-crystal cell

Deflection of nematicon-vortex vector solitons in liquid crystals

Stabilization of counter-rotating vortex pairs in nonlocal media

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