Liquid Crystals. Iam-Choon Khoo
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Название: Liquid Crystals

Автор: Iam-Choon Khoo

Издательство: John Wiley & Sons Limited

Жанр: Техническая литература

Серия:

isbn: 9781119705796

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СКАЧАТЬ italic d z EndFraction right-parenthesis squared comma EndLayout"/>

      (3.83e)field hyphen induced torques equals epsilon 0 normal upper Delta epsilon upper E squared sine phi cosine phi

      (3.83f)rotation viscous torques equals gamma 1 StartFraction italic d phi Over italic d t EndFraction comma

      (3.83g)flow hyphen orientational viscous torques equals StartFraction italic d v Over italic d z EndFraction left-bracket alpha 2 sine squared phi minus alpha 3 cosine squared phi right-bracket period

      (3.84)StartLayout 1st Row upper I StartFraction d squared phi Over italic d t squared EndFraction plus gamma 1 StartFraction italic d phi Over italic d t EndFraction equals left-bracket upper K 1 sine squared phi plus upper K 3 cosine squared phi right-bracket StartFraction d squared phi Over italic d z squared EndFraction plus left-bracket left-parenthesis upper K 1 minus upper K 3 right-parenthesis sine phi cosine phi right-bracket left-parenthesis StartFraction italic d phi Over italic d z EndFraction right-parenthesis squared 2nd Row plus left-bracket alpha 2 sine squared phi minus alpha 3 cosine squared phi right-bracket StartFraction italic d v Over italic d z EndFraction plus epsilon 0 normal upper Delta epsilon upper E squared sine phi cosine phi period EndLayout

      This equation may be solved for various experimental conditions. Optically induced director axis reorientation and flow effects have been studied by two groups [21, 22] using picosecond laser pulses. A solution to the previous equation is also presented in [22].

      1 1. Frank, F. C. 1958. Discuss. Faraday Soc. 25: 19.

      2 2. Ericksen, J. L. 1969. Liquid Crystals. G. Brown (ed.). New York: Gordon and Breach.

      3 3. deGennes, P. G. 1974. Physics of Liquid Crystals. Oxford: Clarendon Press.

      4 4. See, for example, Barbero, G., and F. Simoni. 1992. Appl. Phys. Lett. 41: 504; Barbero, G., F. Simoni, and P. Aiello. 1984. J. Appl. Phys. 55: 304; see also Faetti, S. 1991. Physics of Liquid Crystalline Materials. I. C. Khoo and F. Simoni (eds.). Philadelphia: Gordon and Breach.

      5 5. Jackson, J. D. 1975. Classical Electrodynamics. New York: Wiley.

      6 6. Helfrich, W. 1969. J. Chem. Phys. 51: 4092; see also Ref. 8, Chapter 5.

      7 7. Parneix, J. P., A. Chapoton, and E. Constant. 1975. J. Phys. (Paris) 36: 1143.

      8 8. Blinov, L. M. 1983. Electro‐Optical and Magneto‐Optical Properties of Liquid Crystals. Chichester: Wiley (Interscience).

      9 9. Khoo, I. C., and S. T. Wu. 1993. Optics and Nonlinear Optics of Liquid Crystals. Singapore: World Scientific.

      10 10. Vuks, M. F. 1966. Opt. Spektrosk. 60: 644.

      11 11. Chandrasekhar, S., and N. V. Madhusudana. 1969. J. Phys. (Paris) Colloq. 30: C4.

      12 12. Dunmar, D.A. 1971. Chem. Phys. Lett. 10: 49.

      13 13. deJeu, W. H., and P. Bordewijk. 1978. J. Chem. Phys. 68: 109.

      14 14. Khoo, I. C., and R. Normandin. 1985. IEEE J. Quantum Electron. QE‐21: 329.

      15 15. Horn, R. G. 1978. J. Phys. (Paris) 39: 105.

      16 16. Leslie, F. M. 1966. Quantum J. Mech. Appl. Math. 19: 357.

      17 17. Ericksen, J. L. 1966. Phys. Fluids 9: 1205.

      18 18. Parodi, O. 1970. J. Phys. (Paris) 31: 581.

      19 19. Miesowicz, M. 1935. Nature 17: 261; 1946;158:27.

      20 20. See, for example, deJeu, W. H. 1980. Physical Properties of Liquid Crystalline Materials. New York: Gordon and Breech.

      21 21. Khoo, I. C., R. G. Lindquist, R. R. Michael, et al. J. Appl. Phys. 69: 3853; Khoo, I. C., and R. Normandin. 1984. J. Appl. Phys. 55: 1416.

      22 22. Eichler, H. J., and R. Macdonald. 1991. Phys. Rev. Lett. 67: 2666.

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