Multidimensional Director Modeling Using the Q Tensor Representation in a Liquid Crystal Cell and Its Application to the .PI. Cell with Patterned Electrodes.

Mori Hiroyuki, Gartland Eugene C. Jr., Kelly Jach R., Bos Philip J.

doi:10.1143/jjap.38.135

Bibliographic Information

Other Title

Multidimensional Director Modeling Using the Q Tensor Representation in a Liquid Crystal Cell and Its Application to the π Cell with Patterned Electrodes

Description

To estimate numerically multidimensional director configurations in a liquid crystal cell, it is important to use the Q tensor representation of the strain free energy because it solves the problem of the difference between the directors, n and -n, in the Frank-Oseen free energy representation. In this paper, we discuss the numerical methods for calculating the multidimensional director configurations, using Berreman's Q tensor representation. Numerical issues discussed include the relaxation method for the director calculation, the liquid crystal (LC)/glass interface problem, the boundary conditions for the electric potential, and the possible ways to obtain faster convergence. We compare the calculated results obtained from the Frank-Oseen and Q tensor representations. By considering a π cell with patterned electrodes, we show the consistency of the model used with experimental observations. The calculated data explain well the position shift of the defects that appear in the test π cell.

Journal

Japanese Journal of Applied Physics

Japanese Journal of Applied Physics 38 (1A), 135-146, 1999

The Japan Society of Applied Physics

Keywords

Details 詳細情報について

CRID: 1390282681226048896

NII Article ID: 210000044788; 130004525738

DOI: 10.1143/jjap.38.135

ISSN: 13474065; 00214922

Web Site: https://iopscience.iop.org/article/10.1143/JJAP.38.135; https://iopscience.iop.org/article/10.1143/JJAP.38.135/pdf

Text Lang: en

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