• Korean Journal of Optics and Photonics
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• v.9 no.2
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• pp.117-122
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• 1998

We modeled the dynamic switching behavior of a bistable twisted-nematic liquid crystal cell by employing the Berreman's backflow model. Although viscosity paramenters of the liquid crystal material are not known, numerically calculated optical switching characteristics shows good agreement with experimental results. With this model we also have shown that bistable switching can be observed in a $180^{\circ}$ twisted cell only when two alignment layers are rubbed in the opposite direction.

• Korean Journal of Optics and Photonics
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• v.9 no.5
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• pp.348-352
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• 1998

By employing the Berreman's backflow model, we investigated the effect of liquid crystal parameters on the optical switching characteristics of a bistable twisted-nematic liquid crystal cell. We found that d/p is the most important parameter for high speed operation.

• Korean Journal of Optics and Photonics
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• v.19 no.4
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• pp.294-301
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• 2008

We have performed modeling and simulations of optical characteristics for a cholesteric liquid crystal (CLC) color filter. Berreman's $4{\times}4$ matrix method was used for the calculation of reflectance spectra of the CLC color filter with respect to the incident angle. The results were employed as input parameters for a user-defined coating property of an illumination design software based on the ray-tracing method, LightTools. Color shift characteristics of a planar transmission-type CLC color filter were simulated using LightTools. The results were compared with the results obtained with Berreman's $4{\times}4$ matrix method. It was found that color shift characteristics of the CLC color filter could be simulated to a reasonable accuracy when the reflectance spectra with less than 5 degrees of incremental incidence-angle were used as the input data for the user-defined coating property of LightTools. We have simulated color shift characteristics of a reflection-type CLC color filter having hemi-spherical patterns. The simulation method reported in this paper has been found to be also used for a non-planar CLC color filter structure.

• Korean Journal of Optics and Photonics
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• v.15 no.1
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• pp.63-67
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• 2004

We have obtained optical constants for cholesteric liquid crystal (CLC) films by fitting theoretical spectra of transmittance and reflectance with measured ones. Berreman's 4${\times}$4 matrix approach was used for the calculation of theoretical spectra. The fitting method was applied to three samples with different reflection bands and fitted results of refractive indices for CLC samples were compared with measured ones for a parallel-aligned LC sample. It was found that the two results were in fairly good agreement within the error of the fitted results for the three CLC samples.

• Journal of the Institute of Electronics Engineers of Korea SD
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• v.39 no.12
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• pp.1071-1079
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• 2002

This paper reports a methodology and application lot calculating distribution of the director in a liquid crystal cell by a numerical technique. To calculate distribution of the director, we applied a three dimensional finite element method (FEM) and calculated the distributions of electric potential and director in the liquid crystal cell. We have considered the free-energy density in the bulk of liquid crystal cell and calculated the switching property by the Ericksen-Leslie equation and the Laplace equation. We have calculated the optical transmission with distribution of the director by Berreman's method and confirmed the threshold voltage and the response time.

• Korean Journal of Optics and Photonics
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• v.9 no.1
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• pp.5-8
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• 1998

In calculating the light propagation in inhomogeneous uniaxial materials by using a conventional $4{\times}4$ matrix method, Fabry-Perot effect is caused by inherent multiple internal reflections at interfaces for monochromatic light source. In this paper we propose an apodization method by which we can eliminate in negligible time the interference fringe in the $4{\times}4$ matrix optics. For a cell with k abrupt interfaces, the new apodization method can be implemented simply by, at maximum, (k+1) addtional $4{\times}4$ matrix multiplications in calculating the complete transfer matrix of the cell.

• Korean Journal of Optics and Photonics
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• v.8 no.3
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• pp.223-229
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• 1997

A source code is developed on the basis of Berreman's 4$\times$4 matrix formalism for the analysis of polarization transmission characteristics of twisted nematic liquid crystal display. By using the program, the polarization transmission characteristics of liquid crystal cells and polarizers are analyzed. For a normally white twisted nematic liquid crystal cell, we obtained a family of iso-contrast contours which helps to understand the viewing angle characteristics of the liquid crystal display device by using the cell. The program also help us to understand the variation of the degree of polarization as well as the deviation of the state of polarization of the light transmitted through the polarizer commonly used in the LCD according to the change in incidence angle. This result suggests the contrast of the images appearing on the LCD can be limited by the characteristics of the polarizer in addition to the liquid crystal cell.

• Journal of the Korean Institute of Electrical and Electronic Material Engineers
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• v.19 no.2
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• pp.195-199
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• 2006

We report a novel simulation method to calculate optical transmission considering the real paths of optic introduced in a unit pixel of TFT-LCDs using three-dimensional molecular director simulation of the tensor model. The simulation of optical path transmission profile was carried out by calculating new permittivity considered the real paths of optic in liquid crystal cell. As a result, it was clarified that the electro-optic characteristics such as movement of disclination line, contrast ratio and transmittance profile show a large difference according to the viewing angle compared with the conventional method.

• Journal of the Korean Institute of Electrical and Electronic Material Engineers
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• v.24 no.4
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• pp.309-313
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• 2011

In this study, we proposed a novel electrode structure for the fringe field switching (FFS) mode LCD and performed a three-dimensional computer simulation to calculate the optical transmittance for the new structure. In the simulation Erickson-leslie equation and Berreman $4{\times}4$ matrix were used for obtaining the director distribution profiles of liquid crystal molecules and the electro-optical characteristics, respectively. Considering the complexity of the motional equation of the liquid crystal molecules, FDM (finite difference method) was used as a numerical method. From the results, We revealed that the light transmission of the newly designed pixel structure is expended to the edge of the pixel electrode. We also confirmed that the light transmittance increased more than 13% compared to that of the conventional electrode structure.