Strong Spatiotemporal Localization in a Silica Nonlinear Waveguide Array

Cheskis, Dima; Bar-Ad, S.; Morandotti, Roberto; Aitchison, J. S.; Eisenberg, Henryk; Silberberg, Yaron; Ross, Duncan M.

doi:10.1103/physrevlett.91.223901

Cited by 84 publications

(47 citation statements)

References 12 publications

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“…This allows us to employ perturbation methods and to compute the soliton profile and related quantities (soliton power, perturbed zero eigenvalues λ (N ) 0,j , see below) asymptotically. In nonlinear optics, typical lattice periods are of the order of several microns and typical input beam sizes are not smaller than this period [6,22,25,32,33]. Hence, typically, the input beam sizes are not small compared with the lattice period.…”

Section: Introductionmentioning

confidence: 99%

Analytic theory of narrow lattice solitons

et al. 2008

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The profiles of narrow lattice solitons are calculated analytically using perturbation analysis. A stability analysis shows that solitons centred at a lattice (potential) maximum or saddle point are unstable, as they drift towards the nearest lattice minimum. This instability can, however, be so weak that the soliton is 'mathematically unstable' but 'physically stable'. Stability of solitons centred at a lattice minimum depends on the dimension of the problem and on the nonlinearity. In the subcritical and supercritical cases, the lattice does not affect the stability, leaving the solitons stable and unstable, respectively. In contrast, in the critical case (e.g. a cubic nonlinearity in two transverse dimensions), the lattice stabilizes the (previously unstable) solitons. The stability in this case can be so weak, however, that the soliton is 'mathematically stable' but 'physically unstable'.

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Section: Introductionmentioning

confidence: 99%

Analytic theory of narrow lattice solitons

et al. 2008

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“…It is also relevant to mention that experimental observation of spatiotemporal self-focusing of light in silica waveguide arrays, in the region of anomalous group-velocity dispersion (GVD), was reported in Ref. [14].…”

Section: Introductionmentioning

confidence: 99%

Multidimensional semi-gap solitons in a periodic potential

2006

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The existence, stability and other dynamical properties of a new type of multi-dimensional (2D or 3D) solitons supported by a transverse low-dimensional (1D or 2D, respectively) periodic potential in the nonlinear Schrödinger equation with the self-defocusing cubic nonlinearity are studied. The equation describes propagation of light in a medium with normal group-velocity dispersion (GVD). Strictly speaking, solitons cannot exist in the model, as its spectrum does not support a true bandgap. Nevertheless, the variational approximation (VA) and numerical computations reveal stable solutions that seem as completely localized ones, an explanation to which is given. The solutions are of the gap-soliton type in the transverse direction(s), in which the periodic potential acts in combination with the diffraction and self-defocusing nonlinearity. Simultaneously, in the longitudinal (temporal) direction these are ordinary solitons, supported by the balance of the normal GVD and defocusing nonlinearity. Stability of the solitons is predicted by the VA, and corroborated by direct simulations.

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“…The main reason for their appli− cation is the well−established fabrication process which allows for structural regularity to be easily accomplished. Moreover, relatively long propagation distance (when com− pared to few−mm−long arrays and lattices etched in semi− conductors [22][23] or optically−induced in photorefractives [24][25], respectively, and few−cm−long waveguide arrays in silica [21]) that can be achieved in PCF−based discrete systems allows for a wide range of different (discrete) prop− agation effects to be obtained, including spatio−temporal nonlinear ones. Photonic crystal fibres are ideally suited to be combined with liquid media, while their hollow sections can be easily infiltrated with use of capillary forces or high pressure.…”

Section: Introductionmentioning

confidence: 99%

“…It can be shown that in such photonic struc− tures, output intensity profile strongly depends on optical and geometrical parameters of the system (including wave− length, beam−size, lattice arrangement and index contrast). Discrete photonic systems (of different dimensionality) have been practically achieved in various materials, includ− ing (fused) silica [19][20][21], semiconductors [22][23], photo− refractives [24][25], polymers [26], ferroelectrics [27], and liquid crystals [12,28], thus giving a rise to many new phe− nomena which are not accessible in homogeneous bulk media. An overview of theoretical and experimental devel− opments in the area of discrete light propagation in linear and nonlinear photonics lattices can be found in Refs.…”

Section: Introductionmentioning

confidence: 99%

Tunability of discrete diffraction in photonic liquid crystal fibres

Rutkowska

Laudyn

Jung

2014

Opto-Electronics Review

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In this paper theoretical and experimental results regarding discrete light propagation in photonic liquid crystal fibres (PLCFs) are presented. Particular interest is focused on tunability of the beam guidance obtained due to the variation in either external temperature or optical power (with assumption of thermal nonlinearity taking place in liquid crystals). Highly tunable (discrete) diffraction and thermal self-(de)focusing are studied and tested in experimental conditions. Specifically, spatial light localization and/or delocalization due to the change in tuning parameters are demonstrated, with possibility of discrete spatial (gap) soliton propagation in particular conditions. Results of numerical simulations (performed for the Gaussian beams of different widths and wavelengths) have been compared to those from experimental tests performed in the PLCFs of interest. Owning to the limit of experimental means, direct qualitative comparison was not quite accessible. Nevertheless, a qualitative agreement between theoretical and experimental data (obtained in analogous conditions) has been achieved, suggesting a compact and widely-accessible platform for the study of tunable linear (and nonlinear) discrete light propagation in two-dimensional systems. Proposed photonic structures are of a great potential for all-optical beam shaping and switching.

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Strong Spatiotemporal Localization in a Silica Nonlinear Waveguide Array

Cited by 84 publications

References 12 publications

Analytic theory of narrow lattice solitons

Analytic theory of narrow lattice solitons

Multidimensional semi-gap solitons in a periodic potential

Tunability of discrete diffraction in photonic liquid crystal fibres

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