Multiple solutions in twisted nematic liquid crystal layers

NJ Mottram; S J Hogan

Multiple solutions in twisted nematic liquid crystal layers

NJ Mottram
, S J Hogan

Research output: Working paper

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Abstract

A twisted nematic layer is modelled using a continuum theory which allows for the presence of phase changes and biaxiality within liquid crystals. Under certain approximations analytical solutions are found and used to validate numerical solutions of the full problem. Using a numerical continuation package (AUTO) it is possible to find regions where multiple solutions for the director configuration and hysterisis can occur. Changes in temperature, amount of twist and gap width are investigated in detail and subsequently the relevance of these results to display technology is discussed.

Original language	English
Publisher	University of Bristol
Publication status	Published - 1997

Bibliographical note

Additional information: Preprint of a paper later published by Springer (1997), Continuum Mechanics and Thermodynamics, 9 (4), pp.213-228, ISSN 0935-1175

Research Groups and Themes

Engineering Mathematics Research Group

Keywords

hysterisis
twisted nematic layer
liquid crystals
continuum theory
phase changes
numerical continuation

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WarningSubmitted manuscript, 176 bytes

http://hdl.handle.net/1983/413

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1 Article (Academic Journal)

Multiple solutions in twisted nematic liquid crystal layers
Mottram, N. & Hogan, S., 1997, In: Continuum Mechanics and Thermodynamics. 9, p. 213 - 228
Research output: Contribution to journal › Article (Academic Journal) › peer-review

Cite this

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title = "Multiple solutions in twisted nematic liquid crystal layers",

abstract = "A twisted nematic layer is modelled using a continuum theory which allows for the presence of phase changes and biaxiality within liquid crystals. Under certain approximations analytical solutions are found and used to validate numerical solutions of the full problem. Using a numerical continuation package (AUTO) it is possible to find regions where multiple solutions for the director configuration and hysterisis can occur. Changes in temperature, amount of twist and gap width are investigated in detail and subsequently the relevance of these results to display technology is discussed.",

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PY - 1997

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N2 - A twisted nematic layer is modelled using a continuum theory which allows for the presence of phase changes and biaxiality within liquid crystals. Under certain approximations analytical solutions are found and used to validate numerical solutions of the full problem. Using a numerical continuation package (AUTO) it is possible to find regions where multiple solutions for the director configuration and hysterisis can occur. Changes in temperature, amount of twist and gap width are investigated in detail and subsequently the relevance of these results to display technology is discussed.

AB - A twisted nematic layer is modelled using a continuum theory which allows for the presence of phase changes and biaxiality within liquid crystals. Under certain approximations analytical solutions are found and used to validate numerical solutions of the full problem. Using a numerical continuation package (AUTO) it is possible to find regions where multiple solutions for the director configuration and hysterisis can occur. Changes in temperature, amount of twist and gap width are investigated in detail and subsequently the relevance of these results to display technology is discussed.

KW - hysterisis

KW - twisted nematic layer

KW - liquid crystals

KW - continuum theory

KW - phase changes

KW - numerical continuation

M3 - Working paper

BT - Multiple solutions in twisted nematic liquid crystal layers

PB - University of Bristol

ER -

Multiple solutions in twisted nematic liquid crystal layers

Abstract

Bibliographical note

Research Groups and Themes

Keywords

Access to Document

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Research output

Multiple solutions in twisted nematic liquid crystal layers

Cite this