Approximate analytic solutions for the director profile of homogeneously aligned nematic liquid crystals

Simple analytic solutions to the equations governing the nematic liquid crystal director profiles under an external voltage and arbitrary anchoring energy, taking into consideration the non-uniform field distribution, are presented. Exact numerical results are compared to the analytic solutions show...

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Bibliographic Details
Published in:	Liquid crystals Vol. 37; no. 2; pp. 233 - 239
Main Authors:	Abdulhalim, I., Menashe, D.
Format:	Journal Article
Language:	English
Published:	Abingdon Taylor & Francis 01-02-2010 Taylor & Francis Ltd
Subjects:	Analytical chemistry Anchoring Approximation Design engineering Electric fields Electric potential Exact solutions Liquid crystal polymers Liquid crystals Mathematical analysis Nematic Optics Voltage
Online Access:	Get full text
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Summary:	Simple analytic solutions to the equations governing the nematic liquid crystal director profiles under an external voltage and arbitrary anchoring energy, taking into consideration the non-uniform field distribution, are presented. Exact numerical results are compared to the analytic solutions showing good agreement particularly for the case of strong anchoring. The usefulness of the approximate analytic solutions is remarkable for the quick design of liquid crystal devices and understanding the dependence of the optical response on voltage and material parameters.
Bibliography:	ObjectType-Article-2 SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 23
ISSN:	0267-8292 1366-5855
DOI:	10.1080/02678290903506024