DOI: 10.1143/jjap.38.135. Multidimensional Director Modeling Using the Q Tensor Representation in a Liquid Crystal Cell and Its Application to the π Cell with Patterned Electrodes

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

10.1143/jjap.38.135

Crossref journal-article

IOP Publishing

Japanese Journal of Applied Physics (266)

Abstract

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.

Bibliography

Mori, H., Jr., E. C. G., Kelly, J. R., & Bos, P. J. (1999). Multidimensional Director Modeling Using the Q Tensor Representation in a Liquid Crystal Cell and Its Application to the Ï Cell with Patterned Electrodes. Japanese Journal of Applied Physics, 38(1R), 135.

Authors 4

Hiroyuki Mori (first)
Eugene C. Gartland, Jr. (additional)
Jack R. Kelly (additional)
Philip J. Bos (additional)

References 20 Referenced 151

{'year': '1991', 'key': ''} (1991)
{'key': ''}
10.1039/df9582500019 / Discuss. Faraday Soc. (1958)
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{'year': '1993', 'key': ''} (1993)
10.1103/PhysRevA.30.1955 / Phys. Rev. A (1984)
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10.1080/026782997208163 / Liq. Cryst. (1997)
10.1080/00268948408071693 / Mol. Cryst. Liq. Cryst. (1984)
{'year': '1992', 'key': ''} (1992)
{'year': '1987', 'key': ''} (1987)
{'key': ''}
{'year': '1993', 'key': ''} (1993)
10.1080/00268949108033379 / Mol. Cryst. Liq. Cryst. (1991)
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10.1143/JJAP.29.L1853 / Jpn. J. Appl. Phys. (1990)
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10.1080/10587259708039429 / Mol. Cryst. Liq. Cryst. (1997)
10.1080/10587259608034062 / Mol. Cryst. Liq. Cryst. (1996)

Dates

Type	When
Created	22 years, 10 months ago (Oct. 1, 2002, 6:51 p.m.)
Deposited	2 years, 8 months ago (Dec. 14, 2022, 11:53 a.m.)
Indexed	3 weeks, 4 days ago (Aug. 6, 2025, 8:18 a.m.)
Issued	26 years, 7 months ago (Jan. 1, 1999)
Published	26 years, 7 months ago (Jan. 1, 1999)
Published Print	26 years, 7 months ago (Jan. 1, 1999)

Funders 0

None

BibTeX

@article{Mori_1999, title={Multidimensional Director Modeling Using the Q Tensor Representation in a Liquid Crystal Cell and Its Application to the π Cell with Patterned Electrodes}, volume={38}, ISSN={1347-4065}, url={http://dx.doi.org/10.1143/jjap.38.135}, DOI={10.1143/jjap.38.135}, number={1R}, journal={Japanese Journal of Applied Physics}, publisher={IOP Publishing}, author={Mori, Hiroyuki and Jr., Eugene C. Gartland and Kelly, Jack R. and Bos, Philip J.}, year={1999}, month=jan, pages={135} }

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