Abstract

The reorientation dynamics of the director, which affects the optical response of a dual-frequency nematic liquid crystal under the action of an electric field in cells with hybrid-oriented twist structure, has been studied in the framework of continuum theory. The proposed model makes it possible to find the angular distribution of the director for arbitrary values of both the elastic constants and the initial tilt angles. Hydrodynamic flow was neglected in the calculations. It is shown that, for a specific liquid crystal, the turn-on and turn-off times of the cell can be equal when sinusoidal signal pulses with low and high frequencies are applied to it at definite voltages.

© 2014 Optical Society of America

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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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  8. E. A.  Konshina, D. A.  Vakulin, N. L.  Ivanova, E. O.  Gavrish, V. N.  Vasil’ev, “Optical response from dual-frequency hybrid-aligned nematic liquid crystal cells,” Zh. Tekh. Fiz. 82, No. 5, 66 (2012) [Tech. Phys. 57, 644 (2012)].
  9. S. P.  Palto, “An algorithm for solving the optical problem for stratified anisotropic media,” Zh. Eksp. Teor. Fiz. 119, 638 (2001) [JETP 92, 552 (2001)].
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    [CrossRef]
  11. F. C.  Frank, “I. Liquid crystals. On the theory of liquid crystals,” Discuss. Faraday Soc. 25, 19 (1958).
    [CrossRef]
  12. F. M.  Leslie, “Some constitutive relations for liquid crystals,” Arch. Ration. Mech. Anal. 28, 265 (1968).
    [CrossRef]
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    [CrossRef]
  15. C.-J.  Chen, A.  Lien, M. I.  Nathan, “Simple method for the calculation of the deformation profiles in chiral nematic liquid crystal cells with asymmetric pretilt,” J. Appl. Phys. 81, 70 (1997).
    [CrossRef]
  16. G. V.  Simonenko, V. I.  Tsoĭ, D. A.  Yakovlev, “Method of computing the alignment angles of the optical axis of an LC in an external electric field,” Komp. Opt. 21, 88 (2001).
  17. H. J.  Deuling, “Deformation pattern of twisted nematic liquid crystal layers in an electric field,” Mol. Cryst. Liq. Cryst. 27, 81 (1974).
    [CrossRef]
  18. N. J.  Mottram, C. V.  Brown, “Pulsed addressing of a dual-frequency nematic liquid crystal,” Phys. Rev. E 74, 031703 (2006).
    [CrossRef]
  19. H.  Kresse, Physical Properties of Liquid Crystals: Nematics (IEEE, London, 2001).
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  21. P. G.  De Gennes, J.  Prost, The Physics of Liquid Crystals (Oxford Science, Oxford, 1993).
  22. S. P.  Palto, “Electrooptics and photonics of liquid crystals,” Usp. Fiz. Nauk 175, 784 (2005) [Phys.–Usp. 48, 747 (2005)].
    [CrossRef]

2012 (1)

E. A.  Konshina, D. A.  Vakulin, N. L.  Ivanova, E. O.  Gavrish, V. N.  Vasil’ev, “Optical response from dual-frequency hybrid-aligned nematic liquid crystal cells,” Zh. Tekh. Fiz. 82, No. 5, 66 (2012) [Tech. Phys. 57, 644 (2012)].

2010 (1)

E. A.  Konshina, N. L.  Ivanova, P. S.  Parfenov, M. A.  Fedorov, “Reorientation dynamics of a dual-frequency nematic single crystal with quasi-homeotropic structure,” Opt. Zh. 77, No. 12, 45 (2010) [J. Opt. Technol. 77, 770 (2010)].

2008 (1)

2007 (1)

G.  Derfel, “Stationary states of hybrid aligned flexoelectric nematic layers,” Liq. Cryst. 34, 1201 (2007).
[CrossRef]

2006 (1)

N. J.  Mottram, C. V.  Brown, “Pulsed addressing of a dual-frequency nematic liquid crystal,” Phys. Rev. E 74, 031703 (2006).
[CrossRef]

2005 (2)

S. A.  Jewell, T. S.  Taphouse, J. R.  Sambles, “Rapid switching in a dual-frequency hybrid aligned nematic liquid crystal cell,” Appl. Phys. Lett. 87, 021106 (2005).
[CrossRef]

S. P.  Palto, “Electrooptics and photonics of liquid crystals,” Usp. Fiz. Nauk 175, 784 (2005) [Phys.–Usp. 48, 747 (2005)].
[CrossRef]

2004 (1)

Y.-Q.  Lu, X.  Liang, Y.-H.  Wu, F.  Du, S.-T.  Wua, “Dual-frequency addressed hybrid-aligned nematic liquid crystal,” Appl. Phys. Lett. 85, 3354 (2004).
[CrossRef]

2001 (4)

A.  Kubono, Y.  Kyokane, R.  Akiyama, K.  Tanaka, “Effects of cell parameters on the properties of hybrid twisted nematic displays,” Appl. Phys. 90, 5859 (2001).
[CrossRef]

S. P.  Palto, “An algorithm for solving the optical problem for stratified anisotropic media,” Zh. Eksp. Teor. Fiz. 119, 638 (2001) [JETP 92, 552 (2001)].

G. V.  Simonenko, V. I.  Tsoĭ, D. A.  Yakovlev, “Method of computing the alignment angles of the optical axis of an LC in an external electric field,” Komp. Opt. 21, 88 (2001).

D.  Dayton, S.  Browne, J.  Gonglewski, S.  Restaino, “Characterization and control of a multielement dual-frequency liquid-crystal device for high-speed adaptive optical wave-front correction,” Appl. Opt. 40, 2345 (2001).
[CrossRef]

1997 (1)

C.-J.  Chen, A.  Lien, M. I.  Nathan, “Simple method for the calculation of the deformation profiles in chiral nematic liquid crystal cells with asymmetric pretilt,” J. Appl. Phys. 81, 70 (1997).
[CrossRef]

1995 (1)

1974 (1)

H. J.  Deuling, “Deformation pattern of twisted nematic liquid crystal layers in an electric field,” Mol. Cryst. Liq. Cryst. 27, 81 (1974).
[CrossRef]

1968 (1)

F. M.  Leslie, “Some constitutive relations for liquid crystals,” Arch. Ration. Mech. Anal. 28, 265 (1968).
[CrossRef]

1961 (1)

W.  Maier, G.  Meier, “Eine einfache Theorie der dielectrischen Eigenschaftenhomologen orientierter Kristallin-flu¨ssiger Phasen des Nematischen Typs,” Z. Naturforsch. A 16, 262 (1961).

1958 (1)

F. C.  Frank, “I. Liquid crystals. On the theory of liquid crystals,” Discuss. Faraday Soc. 25, 19 (1958).
[CrossRef]

1933 (1)

C. W.  Oseen, “The theory of liquid crystals,” Trans. Faraday Soc. 29, 883 (1933).
[CrossRef]

Akiyama, R.

A.  Kubono, Y.  Kyokane, R.  Akiyama, K.  Tanaka, “Effects of cell parameters on the properties of hybrid twisted nematic displays,” Appl. Phys. 90, 5859 (2001).
[CrossRef]

Brown, C. V.

N. J.  Mottram, C. V.  Brown, “Pulsed addressing of a dual-frequency nematic liquid crystal,” Phys. Rev. E 74, 031703 (2006).
[CrossRef]

Chen, C.-J.

C.-J.  Chen, A.  Lien, M. I.  Nathan, “Simple method for the calculation of the deformation profiles in chiral nematic liquid crystal cells with asymmetric pretilt,” J. Appl. Phys. 81, 70 (1997).
[CrossRef]

De Gennes, P. G.

P. G.  De Gennes, J.  Prost, The Physics of Liquid Crystals (Oxford Science, Oxford, 1993).

Derfel, G.

G.  Derfel, “Stationary states of hybrid aligned flexoelectric nematic layers,” Liq. Cryst. 34, 1201 (2007).
[CrossRef]

Deuling, H. J.

H. J.  Deuling, “Deformation pattern of twisted nematic liquid crystal layers in an electric field,” Mol. Cryst. Liq. Cryst. 27, 81 (1974).
[CrossRef]

Drolet, J.-J. P.

Du, F.

Y.-Q.  Lu, X.  Liang, Y.-H.  Wu, F.  Du, S.-T.  Wua, “Dual-frequency addressed hybrid-aligned nematic liquid crystal,” Appl. Phys. Lett. 85, 3354 (2004).
[CrossRef]

Fedorov, M. A.

E. A.  Konshina, N. L.  Ivanova, P. S.  Parfenov, M. A.  Fedorov, “Reorientation dynamics of a dual-frequency nematic single crystal with quasi-homeotropic structure,” Opt. Zh. 77, No. 12, 45 (2010) [J. Opt. Technol. 77, 770 (2010)].

Frank, F. C.

F. C.  Frank, “I. Liquid crystals. On the theory of liquid crystals,” Discuss. Faraday Soc. 25, 19 (1958).
[CrossRef]

Gavrish, E. O.

E. A.  Konshina, D. A.  Vakulin, N. L.  Ivanova, E. O.  Gavrish, V. N.  Vasil’ev, “Optical response from dual-frequency hybrid-aligned nematic liquid crystal cells,” Zh. Tekh. Fiz. 82, No. 5, 66 (2012) [Tech. Phys. 57, 644 (2012)].

Gwag, J. S.

Haritos, K. G.

Ivanova, N. L.

E. A.  Konshina, D. A.  Vakulin, N. L.  Ivanova, E. O.  Gavrish, V. N.  Vasil’ev, “Optical response from dual-frequency hybrid-aligned nematic liquid crystal cells,” Zh. Tekh. Fiz. 82, No. 5, 66 (2012) [Tech. Phys. 57, 644 (2012)].

E. A.  Konshina, N. L.  Ivanova, P. S.  Parfenov, M. A.  Fedorov, “Reorientation dynamics of a dual-frequency nematic single crystal with quasi-homeotropic structure,” Opt. Zh. 77, No. 12, 45 (2010) [J. Opt. Technol. 77, 770 (2010)].

Jewell, S. A.

S. A.  Jewell, T. S.  Taphouse, J. R.  Sambles, “Rapid switching in a dual-frequency hybrid aligned nematic liquid crystal cell,” Appl. Phys. Lett. 87, 021106 (2005).
[CrossRef]

Kim, J.-H.

Kim, Y.-K.

Konshina, E. A.

E. A.  Konshina, D. A.  Vakulin, N. L.  Ivanova, E. O.  Gavrish, V. N.  Vasil’ev, “Optical response from dual-frequency hybrid-aligned nematic liquid crystal cells,” Zh. Tekh. Fiz. 82, No. 5, 66 (2012) [Tech. Phys. 57, 644 (2012)].

E. A.  Konshina, N. L.  Ivanova, P. S.  Parfenov, M. A.  Fedorov, “Reorientation dynamics of a dual-frequency nematic single crystal with quasi-homeotropic structure,” Opt. Zh. 77, No. 12, 45 (2010) [J. Opt. Technol. 77, 770 (2010)].

Kresse, H.

H.  Kresse, Physical Properties of Liquid Crystals: Nematics (IEEE, London, 2001).

Kubono, A.

A.  Kubono, Y.  Kyokane, R.  Akiyama, K.  Tanaka, “Effects of cell parameters on the properties of hybrid twisted nematic displays,” Appl. Phys. 90, 5859 (2001).
[CrossRef]

Kyokane, Y.

A.  Kubono, Y.  Kyokane, R.  Akiyama, K.  Tanaka, “Effects of cell parameters on the properties of hybrid twisted nematic displays,” Appl. Phys. 90, 5859 (2001).
[CrossRef]

Leslie, F. M.

F. M.  Leslie, “Some constitutive relations for liquid crystals,” Arch. Ration. Mech. Anal. 28, 265 (1968).
[CrossRef]

Liang, X.

Y.-Q.  Lu, X.  Liang, Y.-H.  Wu, F.  Du, S.-T.  Wua, “Dual-frequency addressed hybrid-aligned nematic liquid crystal,” Appl. Phys. Lett. 85, 3354 (2004).
[CrossRef]

Lien, A.

C.-J.  Chen, A.  Lien, M. I.  Nathan, “Simple method for the calculation of the deformation profiles in chiral nematic liquid crystal cells with asymmetric pretilt,” J. Appl. Phys. 81, 70 (1997).
[CrossRef]

Lu, Y.-Q.

Y.-Q.  Lu, X.  Liang, Y.-H.  Wu, F.  Du, S.-T.  Wua, “Dual-frequency addressed hybrid-aligned nematic liquid crystal,” Appl. Phys. Lett. 85, 3354 (2004).
[CrossRef]

Maier, W.

W.  Maier, G.  Meier, “Eine einfache Theorie der dielectrischen Eigenschaftenhomologen orientierter Kristallin-flu¨ssiger Phasen des Nematischen Typs,” Z. Naturforsch. A 16, 262 (1961).

Meier, G.

W.  Maier, G.  Meier, “Eine einfache Theorie der dielectrischen Eigenschaftenhomologen orientierter Kristallin-flu¨ssiger Phasen des Nematischen Typs,” Z. Naturforsch. A 16, 262 (1961).

Mottram, N. J.

N. J.  Mottram, C. V.  Brown, “Pulsed addressing of a dual-frequency nematic liquid crystal,” Phys. Rev. E 74, 031703 (2006).
[CrossRef]

Nathan, M. I.

C.-J.  Chen, A.  Lien, M. I.  Nathan, “Simple method for the calculation of the deformation profiles in chiral nematic liquid crystal cells with asymmetric pretilt,” J. Appl. Phys. 81, 70 (1997).
[CrossRef]

Oseen, C. W.

C. W.  Oseen, “The theory of liquid crystals,” Trans. Faraday Soc. 29, 883 (1933).
[CrossRef]

Palto, S. P.

S. P.  Palto, “Electrooptics and photonics of liquid crystals,” Usp. Fiz. Nauk 175, 784 (2005) [Phys.–Usp. 48, 747 (2005)].
[CrossRef]

S. P.  Palto, “An algorithm for solving the optical problem for stratified anisotropic media,” Zh. Eksp. Teor. Fiz. 119, 638 (2001) [JETP 92, 552 (2001)].

Parfenov, P. S.

E. A.  Konshina, N. L.  Ivanova, P. S.  Parfenov, M. A.  Fedorov, “Reorientation dynamics of a dual-frequency nematic single crystal with quasi-homeotropic structure,” Opt. Zh. 77, No. 12, 45 (2010) [J. Opt. Technol. 77, 770 (2010)].

Patel, J. S.

Prost, J.

P. G.  De Gennes, J.  Prost, The Physics of Liquid Crystals (Oxford Science, Oxford, 1993).

Psaltis, D.

Sambles, J. R.

S. A.  Jewell, T. S.  Taphouse, J. R.  Sambles, “Rapid switching in a dual-frequency hybrid aligned nematic liquid crystal cell,” Appl. Phys. Lett. 87, 021106 (2005).
[CrossRef]

Scherer, A.

Simonenko, G. V.

G. V.  Simonenko, V. I.  Tsoĭ, D. A.  Yakovlev, “Method of computing the alignment angles of the optical axis of an LC in an external electric field,” Komp. Opt. 21, 88 (2001).

Sohn, K.

Stewart, I. W.

I. W.  Stewart, The Static and Dynamic Continuum Theory of Liquid Crystals (Taylor & Francis, London, 2004).

Tanaka, K.

A.  Kubono, Y.  Kyokane, R.  Akiyama, K.  Tanaka, “Effects of cell parameters on the properties of hybrid twisted nematic displays,” Appl. Phys. 90, 5859 (2001).
[CrossRef]

Taphouse, T. S.

S. A.  Jewell, T. S.  Taphouse, J. R.  Sambles, “Rapid switching in a dual-frequency hybrid aligned nematic liquid crystal cell,” Appl. Phys. Lett. 87, 021106 (2005).
[CrossRef]

Tsoi, V. I.

G. V.  Simonenko, V. I.  Tsoĭ, D. A.  Yakovlev, “Method of computing the alignment angles of the optical axis of an LC in an external electric field,” Komp. Opt. 21, 88 (2001).

Vakulin, D. A.

E. A.  Konshina, D. A.  Vakulin, N. L.  Ivanova, E. O.  Gavrish, V. N.  Vasil’ev, “Optical response from dual-frequency hybrid-aligned nematic liquid crystal cells,” Zh. Tekh. Fiz. 82, No. 5, 66 (2012) [Tech. Phys. 57, 644 (2012)].

Vasil’ev, V. N.

E. A.  Konshina, D. A.  Vakulin, N. L.  Ivanova, E. O.  Gavrish, V. N.  Vasil’ev, “Optical response from dual-frequency hybrid-aligned nematic liquid crystal cells,” Zh. Tekh. Fiz. 82, No. 5, 66 (2012) [Tech. Phys. 57, 644 (2012)].

Wu, Y.-H.

Y.-Q.  Lu, X.  Liang, Y.-H.  Wu, F.  Du, S.-T.  Wua, “Dual-frequency addressed hybrid-aligned nematic liquid crystal,” Appl. Phys. Lett. 85, 3354 (2004).
[CrossRef]

Wua, S.-T.

Y.-Q.  Lu, X.  Liang, Y.-H.  Wu, F.  Du, S.-T.  Wua, “Dual-frequency addressed hybrid-aligned nematic liquid crystal,” Appl. Phys. Lett. 85, 3354 (2004).
[CrossRef]

Xu, W.

Yakovlev, D. A.

G. V.  Simonenko, V. I.  Tsoĭ, D. A.  Yakovlev, “Method of computing the alignment angles of the optical axis of an LC in an external electric field,” Komp. Opt. 21, 88 (2001).

Appl. Opt. (1)

Appl. Phys. (1)

A.  Kubono, Y.  Kyokane, R.  Akiyama, K.  Tanaka, “Effects of cell parameters on the properties of hybrid twisted nematic displays,” Appl. Phys. 90, 5859 (2001).
[CrossRef]

Appl. Phys. Lett. (2)

Y.-Q.  Lu, X.  Liang, Y.-H.  Wu, F.  Du, S.-T.  Wua, “Dual-frequency addressed hybrid-aligned nematic liquid crystal,” Appl. Phys. Lett. 85, 3354 (2004).
[CrossRef]

S. A.  Jewell, T. S.  Taphouse, J. R.  Sambles, “Rapid switching in a dual-frequency hybrid aligned nematic liquid crystal cell,” Appl. Phys. Lett. 87, 021106 (2005).
[CrossRef]

Arch. Ration. Mech. Anal. (1)

F. M.  Leslie, “Some constitutive relations for liquid crystals,” Arch. Ration. Mech. Anal. 28, 265 (1968).
[CrossRef]

Discuss. Faraday Soc. (1)

F. C.  Frank, “I. Liquid crystals. On the theory of liquid crystals,” Discuss. Faraday Soc. 25, 19 (1958).
[CrossRef]

J. Appl. Phys. (1)

C.-J.  Chen, A.  Lien, M. I.  Nathan, “Simple method for the calculation of the deformation profiles in chiral nematic liquid crystal cells with asymmetric pretilt,” J. Appl. Phys. 81, 70 (1997).
[CrossRef]

Komp. Opt. (1)

G. V.  Simonenko, V. I.  Tsoĭ, D. A.  Yakovlev, “Method of computing the alignment angles of the optical axis of an LC in an external electric field,” Komp. Opt. 21, 88 (2001).

Liq. Cryst. (1)

G.  Derfel, “Stationary states of hybrid aligned flexoelectric nematic layers,” Liq. Cryst. 34, 1201 (2007).
[CrossRef]

Mol. Cryst. Liq. Cryst. (1)

H. J.  Deuling, “Deformation pattern of twisted nematic liquid crystal layers in an electric field,” Mol. Cryst. Liq. Cryst. 27, 81 (1974).
[CrossRef]

Opt. Express (1)

Opt. Lett. (1)

Opt. Zh. (1)

E. A.  Konshina, N. L.  Ivanova, P. S.  Parfenov, M. A.  Fedorov, “Reorientation dynamics of a dual-frequency nematic single crystal with quasi-homeotropic structure,” Opt. Zh. 77, No. 12, 45 (2010) [J. Opt. Technol. 77, 770 (2010)].

Phys. Rev. E (1)

N. J.  Mottram, C. V.  Brown, “Pulsed addressing of a dual-frequency nematic liquid crystal,” Phys. Rev. E 74, 031703 (2006).
[CrossRef]

Trans. Faraday Soc. (1)

C. W.  Oseen, “The theory of liquid crystals,” Trans. Faraday Soc. 29, 883 (1933).
[CrossRef]

Usp. Fiz. Nauk (1)

S. P.  Palto, “Electrooptics and photonics of liquid crystals,” Usp. Fiz. Nauk 175, 784 (2005) [Phys.–Usp. 48, 747 (2005)].
[CrossRef]

Z. Naturforsch. A (1)

W.  Maier, G.  Meier, “Eine einfache Theorie der dielectrischen Eigenschaftenhomologen orientierter Kristallin-flu¨ssiger Phasen des Nematischen Typs,” Z. Naturforsch. A 16, 262 (1961).

Zh. Eksp. Teor. Fiz. (1)

S. P.  Palto, “An algorithm for solving the optical problem for stratified anisotropic media,” Zh. Eksp. Teor. Fiz. 119, 638 (2001) [JETP 92, 552 (2001)].

Zh. Tekh. Fiz. (1)

E. A.  Konshina, D. A.  Vakulin, N. L.  Ivanova, E. O.  Gavrish, V. N.  Vasil’ev, “Optical response from dual-frequency hybrid-aligned nematic liquid crystal cells,” Zh. Tekh. Fiz. 82, No. 5, 66 (2012) [Tech. Phys. 57, 644 (2012)].

Other (3)

P. G.  De Gennes, J.  Prost, The Physics of Liquid Crystals (Oxford Science, Oxford, 1993).

I. W.  Stewart, The Static and Dynamic Continuum Theory of Liquid Crystals (Taylor & Francis, London, 2004).

H.  Kresse, Physical Properties of Liquid Crystals: Nematics (IEEE, London, 2001).

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