Flexoelectro-optic properties of chiral nematic liquid crystals in the uniform standing helix configuration

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 80, Issue 3, 2009, Pages

  Castles, F ^a   Morris, S M ^a   Coles, H J ^a  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

ANALYTIC THEORY; ANGULAR DEPENDENCE; APPLIED FIELD; BERREMAN METHODS; CELL PARAMETER; CHIRAL NEMATIC LIQUID CRYSTALS; CHIRAL NEMATICS; CONTINUUM MODEL; CONTRAST RATIO; CROSSED POLARIZERS; EXPERIMENTAL VERIFICATION; FLEXOELECTRO-OPTIC EFFECT; GRANDJEAN; IN-PLANE ELECTRIC FIELDS; INTENSITY MODULATIONS; MAXWELL'S EQUATIONS; NORMAL INCIDENCE; NUMERICAL MODELS; NUMERICAL RESULTS; OPTIC AXIS; OPTIC PROPERTIES; PLANE WAVE; SURFACE-ANCHORING; SWITCH-ON; SWITCHING SPEED; TRANSMITTED INTENSITIES;

CELL MEMBRANES; CONTINUUM MECHANICS; ELECTRIC FIELDS; LIQUID CRYSTALS; LIQUIDS; MAXWELL EQUATIONS; OPTICAL PROPERTIES; WAVE EQUATIONS;

NEMATIC LIQUID CRYSTALS;

EID: 70349933153     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.80.031709     Document Type: Article

References (32)

1. R. B. Meyer, Phys. Rev. Lett. 22, 918 (1969). 10.1103/PhysRevLett.22.918
2. J. S. Patel and R. B. Meyer, Phys. Rev. Lett. 58, 1538 (1987). 10.1103/PhysRevLett.58.1538
3. J. S. Patel and S.-D. Lee, J. Appl. Phys. 66, 1879 (1989). 10.1063/1.344369
4. S.-D. Lee, J. S. Patel, and R. B. Meyer, J. Appl. Phys. 67, 1293 (1990). 10.1063/1.345679
5. L. Komitov, S. T. Lagerwall, B. Stebler, and A. Strigazzi, J. Appl. Phys. 76, 3762 (1994). 10.1063/1.357379
6. P. Rudquist, M. Buivydas, L. Komitov, and S. T. Lagerwall, J. Appl. Phys. 76, 7778 (1994). 10.1063/1.358523
7. P. Rudquist, L. Komitov, and S. T. Lagerwall, Phys. Rev. E 50, 4735 (1994). 10.1103/PhysRevE.50.4735
8. P. Rudquist, T. Carlsson, L. Komitov, and S. T. Lagerwall, Liq. Cryst. 22, 445 (1997). 10.1080/026782997209153
9. B. Musgrave, P. Lehmann, and H. J. Coles, Liq. Cryst. 26, 1235 (1999). 10.1080/026782999204255
10. H. J. Coles, M. J. Clarke, S. M. Morris, B. J. Broughton, and A. E. Blatch, J. Appl. Phys. 99, 034104 (2006). 10.1063/1.2166643
11. S. M. Morris, M. J. Clarke, A. E. Blatch, and H. J. Coles, Phys. Rev. E 75, 041701 (2007). 10.1103/PhysRevE.75.041701
12. B. J. Broughton, M. J. Clarke, A. E. Blatch, and H. J. Coles, J. Appl. Phys. 98, 034109 (2005). 10.1063/1.2006227
13. H. J. Coles, M. J. Coles, B. J. Broughton, and S. M. Morris, Patent No. WO/2006/003441 (2006).
14. A. J. Davidson, S. J. Elston, and E. P. Raynes, J. Appl. Phys. 99, 093109 (2006). 10.1063/1.2199973
15. R. A. Ewings, C. Kischka, L. A. Parry-Jones, and S. J. Elston, Phys. Rev. E 73, 011713 (2006). 10.1103/PhysRevE.73.011713
16. W. den Boer, Active Matrix Liquid Crystal Displays, 1st ed. (Newnes, Amsterdam, 2005), Chap., p. 186.
17. D. W. Berreman, J. Opt. Soc. Am. 62, 502 (1972). 10.1364/JOSA.62.000502
18. C. W. Oseen, Trans. Faraday Soc. 29, 883 (1933). 10.1039/tf9332900883
19. F. C. Frank, Discuss. Faraday Soc. 25, 19 (1958). 10.1039/df9582500019
20. I. W. Stewart, The Static and Dynamic Continuum Theory of Liquid Crystals (Taylor & Francis, London, 2004).
21. The notation Pflexo = es n (n) + eb n× (×n) is also commonly used.
22. ε and ε are assumed to be defined at the frequency of the applied electric field (we consider a constant electric field in this paper). The parallel and perpendicular components of the refractive index, n and n, are defined at optical frequencies, such that in general ε ≠ n 2 and ε ≠ n 2. In particular the material may have Δ ε=0 yet be optically birefringent.
23. G. A. DiLisi, E. M. Terentjev, A. C. Griffin, and C. Rosenblatt, J. Phys. II 3, 597 (1993). 10.1051/jp2:1993153
24. C. Schott, S. Perkins, and H. J. Coles, Mol. Cryst. Liq. Cryst. 366, 715 (2001). 10.1080/10587250108024012
25. S. J. Elston, Phys. Rev. E 78, 011701 (2008). 10.1103/PhysRevE.78.011701
26. H. G. Yoon and H. F. Gleeson, J. Phys. D 40, 3579 (2007). 10.1088/0022-3727/40/12/006
27. For Figs. 4 5 7 8 9 we used 500 slices per pitch of the N. For Figs. 11 12 we used 100 slices per pitch.
28. H. A. van Sprang, J. Appl. Phys. 71, 4826 (1992). 10.1063/1.350625
29. H. De Vries, Acta Crystallogr. 4, 219 (1951). 10.1107/S0365110X51000751
30. M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables (Dover, New York, 1964).
31. H. J. Coles, Handbook of Liquid Crystals, 1st ed. (Wiley-VCH, Weinheim, 1998), Vol. 2A, p. 348.
32. R. Lu, S. Wu, Q. Hong, and T. X. Wu, J. Disp. Technol. 1, 3 (2005). 10.1109/JDT.2005.852507