Determination of spatially periodically modulated structures in optically anisotropic media by means of optical diffraction

Vistin, L. K.; Yakovenko, S. S.; Kabaenkov, A. Yu.

doi:10.1016/b978-1-4831-1775-1.50068-4

Cited by 3 publications

(3 citation statements)

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“…Incident parallel light is deflected in the optically anisotropic and inhomogeneous medium. Several attempts to calculate light propagation in modulated nematic layers have been reported [15] - [22], These approaches are more or less approximative and use slightly different concepts.…”

Section: Numerical Simulationsmentioning

confidence: 99%

Spatio-temporal Analysis of Electroconvection in Nematics

Amm

Grigutsch

Stannarius

1998

Zeitschrift Für Naturforschung A

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We investigate electroconvection in nematic liquid crystals by means of optical microscopy. Time resolved optical images are used to study the director dynamics. For the first time we present instant images in the dielectric regime. A numerical simulation of the optical transmission patterns is performed on the basis of Fermat's principle. In the instant images of dielectric rolls, the periodicity of the observed optical pattern is equal to the wavelength Ao of the convection rolls. The well known low contrast 'stationary' optical texture observed in conventional experiments results from time averaging of these instant images; its wavelength is Ao/2.

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Section: Numerical Simulationsmentioning

confidence: 99%

Spatio-temporal Analysis of Electroconvection in Nematics

Amm

Grigutsch

Stannarius

1998

Zeitschrift Für Naturforschung A

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“…We use the eigenfunctions φ(x, z, t) from the linear stability analysis. Using Fermat's principle it is possible to determine the optical path, the resulting phase difference φ(x, t) and the intensity profile of light passing the cell [53,54,55,56,57,58,59,60]. At small deflection angles, one can assume that individual light rays pass the cell without deflection, creating a phase grating…”

Section: Opticsmentioning

confidence: 99%

Fundamental scaling laws of on-off intermittency in a stochastically driven dissipative pattern-forming system

2002

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Noise-driven electroconvection in sandwich cells of nematic liquid crystals exhibits on-off intermittent behavior at the onset of the instability. We study laser scattering of convection rolls to characterize the wavelengths and trajectories of the stochastic amplitudes of the intermittent structures. The pattern wavelengths and statistics of these trajectories are in quantitative agreement with simulations of the linearized electrohydrodynamic equations. The fundamental tau(-3/2) distribution law for the durations tau of laminar phases as well as the power law of the amplitude distribution of intermittent bursts are confirmed in the experiments. Power spectral densities of the experimental and numerically simulated trajectories are discussed.

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“…The simulation of the optical characteristics of EC in the standard geometry of Fig. 1a has been extensively studied [5][6][7][8][9][10]. The optical pattern is generated by diffraction of the incoming extraordinary wave in the periodically modulated refractive index profile of the deformed liquid crystal.…”

Section: Opticsmentioning

confidence: 99%