Quasi-stable configurations of liquid crystals in polyhedral geometries

A Majumdar*, C Newton, J Robbins, M Zyskin

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference Contribution (Conference Proceeding)

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.

Original languageEnglish
Title of host publicationXV CONFERENCE ON LIQUID CRYSTALS
EditorsJ Zmija
Place of PublicationBELLINGHAM
PublisherSociety of Photo-Optical Instrumentation Engineers (SPIE)
Pages185-190
Number of pages6
ISBN (Print)0-8194-5506-7
DOIs
Publication statusPublished - 2003
Event15th Conference on Liquid Crystals - Zakopane, Poland
Duration: 13 Oct 200317 Oct 2003

Publication series

NamePROCEEDINGS OF THE SOCIETY OF PHOTO-OPTICAL INSTRUMENTATION ENGINEERS (SPIE)
PublisherSPIE-INT SOC OPTICAL ENGINEERING
Volume5565
ISSN (Print)0277-786X

Conference

Conference15th Conference on Liquid Crystals
CountryPoland
Period13/10/0317/10/03

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