Liquid crystals devices for fiber optical applications

Chigrinov, Vladimir G.

doi:10.1117/12.473844

Cited by 117 publications

(238 citation statements)

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“…E E c , the azimuthal angle around the cone, , can be written in the form [30,32,35] = φ + (φ) ≈ φ + α E sin φ, φ = 2π P x, (40) where the electric field induced distortion linearly depends on E through the electric field parameter α E proportional to the ratio of the applied and critical electric fields: E/E c .…”

Section: Physical Review E 83 031703 (2011)mentioning

confidence: 99%

“…[27,28] for stratified anisotropic media and goes beyond the limitations of Jones calculus. We apply the method for systematic treatment of the technologically important case of the deformed helix ferroelectric liquid crystals (DHFLCs) [29,30], where the LC director rotates about a uniform twist axis parallel to the substrates forming the ferroelectric LC (FLC) helical structure (see Fig. 1).…”

Section: Introductionmentioning

confidence: 99%

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Polarization-gratings approach to deformed-helix ferroelectric liquid crystals with subwavelength pitch

et al. 2011

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Electro-optical properties of deformed helix ferroelectric liquid crystal (DHFLC) cells are studied by using a general theoretical approach to polarization gratings in which the transmission and reflection matrices of diffraction orders are explicitly related to the evolution operator of equations for the Floquet harmonics. In the short-pitch approximation, a DHFLC cell is shown to be optically equivalent to a uniformly anisotropic biaxial layer where one of the optical axes is normal to the bounding surfaces. For in-plane anisotropy, orientation of the optical axes and birefringence are both determined by the voltage applied across the cell and represent the parameters that govern the transmittance of normally incident light passing through crossed polarizers. We calculate the transmittance as a function of the electric field and compare the computed curves with the experimental data. The theoretical and experimental results are found to be in good agreement.

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Section: Physical Review E 83 031703 (2011)mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Polarization-gratings approach to deformed-helix ferroelectric liquid crystals with subwavelength pitch

et al. 2011

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“…4(a) under conditions (1)- (5) is given by [29][30][31] (7) where 〈 〉 stands for averaging over the helix pitch, α is the angle between the projection of the smectic-layer principle optical axis on the polarizer plane, and the normal to the smectic-layer plane [position 3 in Fig. 4(a)] is expressed as [29][30][31] (8)…”

Section: Resultsmentioning

confidence: 99%

“…[29][30][31] So, the azimuthal angle ϕ [Fig. 4(b)] in a smectic layer is expressed as follows 29 : (6) where t is the electrical voltage pulse duration shown in Fig.…”

Section: Resultsmentioning

confidence: 99%

V‐shaped electro‐optical mode based on deformed‐helix ferroelectric liquid crystal with subwavelength pitch

et al. 2012

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— V‐shaped electro‐optical response is shown, both theoretically and experimentally, to be an inherent property of a deformed‐helix ferroelectric liquid‐crystal cell (DHFLC) under a special choice of the applied rectangular alternating‐electric‐field waveform, frequency, and cell geometry. In contrast to other known V‐shaped ferroelectric liquid‐crystal (FLC) modes, the discovered V‐shaped switching is observed in a broadband frequency range including 1 kHz, and not at a certain characteristic frequency. This type of V‐shaped switching allows for a drastic increase in the operating frequency of field‐sequential‐color (FSC) LCD cells in comparison with fast nematic liquid‐crystal (NLC) modes.

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“…(3)] and represents the undistorted structure. For sufficiently small electric fields, the standard perturbative technique applied to the Euler-Lagrange equation gives the first-order expression [10,23] for the azimuthal angle of a weakly distorted helical structure…”

Section: A Effective Dielectric Tensormentioning

confidence: 99%

Optics of short-pitch deformed-helix ferroelectric liquid crystals: Symmetries, exceptional points, and polarization-resolved angular patterns

Kiselev

Chigrinov

2014

Phys. Rev. E

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In order to explore electric-field-induced transformations of polarization singularities in the polarizationresolved angular (conoscopic) patterns emerging after deformed-helix ferroelectric liquid crystal (DHFLC) cells with subwavelength helix pitch, we combine the transfer matrix formalism with the results for the effective dielectric tensor of biaxial FLCs evaluated using an improved technique of averaging over distorted helical structures. Within the framework of the transfer matrix method, we deduce a number of symmetry relations and show that the symmetry axis of L lines (curves of linear polarization) is directed along the major in-plane optical axis which rotates under the action of the electric field. When the angle between this axis and the polarization plane of incident linearly polarized light is above its critical value, the C points (points of circular polarization) appear in the form of symmetrically arranged chains of densely packed star-monstar pairs. We also emphasize the role of phase singularities of a different kind and discuss the enhanced electro-optic response of DHFLCs near the exceptional point where the condition of zero-field isotropy is fulfilled.

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Liquid crystals devices for fiber optical applications

Cited by 117 publications

References 0 publications

Polarization-gratings approach to deformed-helix ferroelectric liquid crystals with subwavelength pitch

Polarization-gratings approach to deformed-helix ferroelectric liquid crystals with subwavelength pitch

V‐shaped electro‐optical mode based on deformed‐helix ferroelectric liquid crystal with subwavelength pitch

Optics of short-pitch deformed-helix ferroelectric liquid crystals: Symmetries, exceptional points, and polarization-resolved angular patterns

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