Towards an optimal model for a bistable nematic liquid crystal display device
Bistable liquid crystal displays offer the potential for considerable power savings compared with conventional (monostable) LCDs. The existence of two stable field-free states that are optically distinct means that contrast can be maintained in a display without an externally applied electric field. An applied field is required only to switch the device from one state to the other, as needed. In this paper we examine a theoretical model of a possible bistable device, originally proposed by Cummings and Richardson (Euro J Appl Math 17:435–463 2006), and explore means by which it may be optimized, in terms of optical contrast, manufacturing considerations, switching field strength, and switching times. The compromises inherent in these conflicting design criteria are discussed.
KeywordsBistability Liquid crystal display Nematic
This work was supported by the NSF under Grants DMS-0908158 and DMS-1211713, and by KAUST under Award No. KUK-C1-013-04. The authors would like to acknowledge informative and useful discussions with P. Palffy-Muhoray and colleagues from the Liquid Crystals Institute, Kent State University; with P. D. Howell, A. Majumdar and colleagues at the Oxford Centre for Collaborative and Applied Mathematics; and helpful comments from anonymous referees.
- 10.Seo D-S (2000) Anchoring strength and high pretilt angle in nematic liquid crystal on rubbed organic solvent polyimide surfaces with trifluoromethyl moieties. J Korean Phys Soc 36(1):29–33Google Scholar
- 17.DeGennes PG, Prost J (1993) The physics of liquid crystals, 2nd edn. International series of monographs on physics, vol 83. Oxford Science Publications, New YorkGoogle Scholar
- 18.Stewart IW (2004) The static and dynamic continuum theory of liquid crystals. Taylor & Francis, LondonGoogle Scholar
- 22.Rapini A, Papoular M (1969) Distorsion d’une lamelle nématique sous champ magnétique. Conditions d’ancrage aux parois. J Phys (Paris) Colloq 30(C4):54–56Google Scholar
- 23.Leslie FM (1979) Theory of flow phenomena in liquid crystals. Adv Liquid Cryst 4:1–81Google Scholar
- 25.Yeh P, Gu C (2010) Optics of liquid crystal displays. Wiley, New JerseyGoogle Scholar
- 26.Press WH, Teukolsky SA, Vetterling WT, Flannery BP (1996) Numerical recipes in Fortran 90, 2nd edn. Cambridge University Press, New YorkGoogle Scholar