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Proceedings Paper

Quasi-stable configurations of liquid crystals in polyhedral geometries
Author(s): Apala Majumdar; Christopher Newton; Jonathan Robbins; Maxim Zyskin
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Paper Abstract

Bistable director configurations are of great interest in liquid crystal display technologies, offering the possibility of higher resolution combined with reduced power consumption. One way to achieve such bistability is to use the cell geometry. As part of an ongoing programme to analyze quasi-stable configurations of liquid crystals in polyhedral geometries, we construct a topological classification scheme of unit-vector fields in convex polyhedra subject to tangential boundary conditions and obtain a general lower bound on the energy of these configurations. We also study the specific case of a unit cube, where we obtain lower and upper bounds for the energies of a family of topological types.

Paper Details

Date Published: 1 September 2004
PDF: 6 pages
Proc. SPIE 5565, XV Conference on Liquid Crystals, (1 September 2004); doi: 10.1117/12.581132
Show Author Affiliations
Apala Majumdar, Univ. of Bristol (United Kingdom)
Christopher Newton, Hewlett-Packard Ltd. (United Kingdom)
Jonathan Robbins, Univ. of Bristol (United Kingdom)
Maxim Zyskin, Univ. of Bristol (United Kingdom)

Published in SPIE Proceedings Vol. 5565:
XV Conference on Liquid Crystals
Jozef Zmija, Editor(s)

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