Modulation analysis of boundary-induced motion of optical solitary waves in a nematic liquid crystal

Alberucci, Alessandro; Assanto, Gaetano; Buccoliero, Daniel; Desyatnikov, Anton S.; Marchant, Timothy R.; Smyth, Noel F.

doi:10.1103/physreva.79.043816

Cited by 28 publications

(44 citation statements)

References 29 publications

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“…For milliwatt optical beam powers, this extra rotation is small and |θ | |θ 0 |. In this small extra rotation limit, the nondimensional equations governing the propagation of the optical vortex beam in the paraxial approximation are [25,26,33,34] …”

Section: Governing Equationsmentioning

confidence: 99%

“…In the case of rubbing, there is a linear (1D) or logarithmic (2D) decay of the nematic response away from the beam's center [25,26]. This implies that all of the molecules of the nematic are affected by the presence of a beam in the cell [26], so that, in particular, boundary conditions at the cell walls must be properly accounted for Refs. [25,26].…”

Section: Introductionmentioning

confidence: 99%

“…This implies that all of the molecules of the nematic are affected by the presence of a beam in the cell [26], so that, in particular, boundary conditions at the cell walls must be properly accounted for Refs. [25,26]. In contrast, when the first pretilt method, based on an external static electric field, is used, there is an exponential decay of the nematic response away from the beam.…”

Section: Introductionmentioning

confidence: 99%

“…As a consequence, the effect of the cell walls can be neglected [27][28][29][30] for beam propagation near the center of a cell, as the cell-to-beam width ratio is around 20 to 30 [31,32]. In the nematicon case, it has been observed both experimentally [33] and theoretically in 1D [25,26] and 2D [34] that cell walls act repulsively towards a nematicon.…”

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: Governing Equationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

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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“…The VA itself was applied to nematicons in a biased cell well before Petrovic et al, see [32,33]. It was even applied to the specific problem of the interaction of nematicons with boundaries in 2009 [34,35].…”

Section: Point By Point Responsementioning

confidence: 99%