Localized dissipative vortices in chiral nematic liquid crystal cells

Clerc, Marcel G.; González-Cortés, Gregorio; Echeverría-Alar, S.

doi:10.1103/physrevresearch.4.l022021

Cited by 9 publications

(14 citation statements)

References 33 publications

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“…Additionally, the helical pattern is imprinted on the surface with tangential orientation of the director, providing an alternative platform for driven assembly of nano or micro particles. Furthermore, the optical properties of LCs and the precise control over the ribbon pitch can be harnessed to engineer optical guides with spiral paths 74–79…”

Section: Resultsmentioning

confidence: 99%

Curvature and confinement effects on chiral liquid crystal morphologies

et al. 2023

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Section: Resultsmentioning

confidence: 99%

Curvature and confinement effects on chiral liquid crystal morphologies

et al. 2023

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“…It is also relevant to mention 2D localized states in the form of "chiral bubbles", which are produced by the CQ CGL equation with real coefficients, and additional chiral terms. Such states were experimentally observed in nematic liquid crystals [37]. Basic result for the existence and stability of localized solutions of Eqs.…”

Section: Introductionmentioning

confidence: 82%

Multidimensional dissipative solitons and solitary vortices

Malomed

2022

Preprint

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This article offers a review of (chiefly, theoretical) results for self-trapped states (solitons) in twoand three-dimensional (2D and 3D) models of nonlinear dissipative media. The existence of such solitons requires to maintain two stable balances: between nonlinear self-focusing and linear spreading (diffraction and/or dispersion) of the physical fields, and between losses and gain in the medium. Due to the interplay of these conditions, dissipative solitons exist, unlike solitons in conservative models, not in continuous families, but as isolated solutions (attractors). The main issue in the theory is stability of multidimensional dissipative solitons, especially ones with embedded vorticity. First, stable 2D dissipative solitons are presented in the framework of the complex Ginzburg-Landau equation with the cubic-quintic nonlinearity, which combines linear loss, cubic gain, and quintic loss (the linear loss is necessary to stabilize zero background around dissipative solitons, while the quintic loss provided for the global stability of the setting). In addition to fundamental (zero-vorticity) solitons, stable spiral solitons produced by the CGL equation are produced too, with intrinsic vorticities S = 1 and 2. Stable 2D solitons were also found in a system built of two linearly-coupled optical fields, with linear gain acting in one and linear loss, which plays the stabilizing role, in the other. In this case, the inclusion of the cubic loss (without quintic terms) is sufficient for the creation of stable fundamental and vortical dissipative solitons in the linearly-coupled system. In addition to truly localized states, weakly localized ones are presented too, in the single-component model with nonlinear losses, which does not include explicit gain. In that case, the losses are compensated by the influx of power from the reservoir provided, at the spatial infinity, by the weakly localized structure of the solution. Other classes of 2D models which are considered in this review make use of spatially modulated loss or gain to predict many species of robust dissipative solitons, including localized dynamical states featuring complex periodically recurring metamorphoses. Stable fundamental and vortical solitons are also produced by models including a trapping or spatially periodic potential. In the latter case, the consideration addresses 2D gap dissipative solitons as well. 2D two-component dissipative models including spin-orbit coupling are considered too. They give rise to stable states in the form of semi-vortex solitons, with vorticity carried by one component. In addition to the 2D solitons, the review includes 3D fundamental and vortical dissipative solitons, stabilized by the cubic-quintic nonlinearity and/or external potentials. Collisions between 3D dissipative solitons are considered too. Contents I. Introduction II. Spiral solitons (vortex rings) produced by the 2D complex Ginzburg-Landau (CGL) equation with the cubic-quintic (CQ) nonlinearity III. Dissipative vortex solitons in a laser cavity stabili...

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“…The dynamics of the director is characterized by the minimization of the Frank-Ossen free energy. 13 Considering the director equation, the previous director ansatz and introducing the complex order parameter A ≡ αe iθ , we get (dimensionless chiralanisotropic Ginzburg-Landau amplitude equation 19 )…”

Section: Spherulite Gas In An Amplitude Equationmentioning

confidence: 99%

“…( 1) has been used to understand chiral bubbles, fingers, and labyrinthine patterns in cholesteric liquid crystals. 13,19,20 In order to reproduce what has been observed experimentally, it is necessary to induce the formation of spherulites in the system. One method to create them is to start from a noisy initial state and generate a cholesteric pattern.…”

Section: Spherulite Gas In An Amplitude Equationmentioning

confidence: 99%

Vortex clustering in chiral nematic liquid crystal microdroplets

Fernández-González,

Echeverría-Alar,

González-Cortés

et al. 2023

Liquid Crystals XXVII

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Metamaterials have subwavelength periodic structures that manipulate electromagnetic waves. Typically, difficulties are encountered in fabricating this type of materials due to the sophisticated techniques involved in their creation. Bubble domains in chiral nematic liquid crystals present a skyrmion lattice which has periodicity regions along a cell, which allow the observation of unconventional light-matter interaction. However, the interaction dynamics between vortices presents a challenge to ensure the order of the lattice throughout the space it covers. In this work we study the use of liquid crystal microdroplets as potential wells and the clustering of topological defects in them.

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Localized dissipative vortices in chiral nematic liquid crystal cells

Cited by 9 publications

References 33 publications

Curvature and confinement effects on chiral liquid crystal morphologies

Curvature and confinement effects on chiral liquid crystal morphologies

Multidimensional dissipative solitons and solitary vortices

Vortex clustering in chiral nematic liquid crystal microdroplets

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