Conformal mapping techniques for the modelling of liquid crystal devices

Nigel Mottram, Andrew Davidson

Research output: Contribution to journalArticle

22 Citations (Scopus)

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.
Original languageEnglish
Pages (from-to)99-119
Number of pages21
JournalEuropean Journal of Applied Mathematics
Volume23
DOIs
Publication statusPublished - 24 Jan 2011

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Keywords

  • liquid crystals
  • elasticity
  • conformal mapping
  • bistablility

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