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Conformal mapping techniques for the modelling of liquid crystal devices

Mottram, Nigel and Davidson, Andrew (2011) Conformal mapping techniques for the modelling of liquid crystal devices. European Journal of Applied Mathematics, 23. pp. 99-119. ISSN 0956-7925

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Abstract

In this paper, we review a number of uses of conformal mapping techniques for obtaining director profiles of liquid crystals in confined and semi-confined geometries. In particular, we will consider geometries which allow more than one stable state, some of which are of use in bistable displays. These solutions also allow the investigation of the energy of stable states and enable conclusions to be reached as to how such geometries may be optimised for bistable display applications. Such techniques are also able to provide initial configurations for the solution of more complicated situations where numerical methods are used to investigate switching characteristics.

Item type: Article
ID code: 37135
Keywords: liquid crystals, elasticity, conformal mapping, bistablility, Mathematics, Applied Mathematics
Subjects: Science > Mathematics
Department: Faculty of Science > Mathematics and Statistics
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Depositing user: Pure Administrator
Date Deposited: 26 Jan 2012 16:11
Last modified: 31 Oct 2014 05:05
URI: http://strathprints.strath.ac.uk/id/eprint/37135

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