Abstract
We investigate the propagation of the extraordinary ray in a cell with a chiral liquid crystal at oblique incidence. For a 180° twist cell, we study the dependence of the minimum incidence angle at which the light does not yet pass through the cell on the applied voltage. The orientational structure of a liquid crystal in an external electric field has been calculated by directly minimizing the free energy. This has allowed the ray trajectories and the limiting refraction angles to be determined. The results of our calculations are consistent with the experiment. We show that allowance for the electric field nonuniformity in a chiral system is important for agreement between theory and experiment.
Similar content being viewed by others
References
M. Avendano-Alejo, Opt. Express 13, 2549 (2005).
Qi Hong, T. X. Wu, and Shin-Tson Wu, Liq. Cryst. 30, 367 (2003).
W. Cai and V. Shalaev, Optical Metamaterials (Springer-Verlag, New York, 2010).
J. Joannopoulos, R. Meade, and J. Winn, Photonic Crystals (Princeton University Press, Princeton, New Jersey, United States, 1995).
K. Sakoda, Optical Properties of Photonic Crystals (Springer-Verlag, Berlin, 2001).
D. W. Berreman and T. J. Scheffer, Phys. Rev. A: At., Mol., Opt. Phys. 5, 1397 (1971).
D. W. Berreman, J. Opt. Soc. Am. 62, 502 (1972); D. W. Berreman, J. Opt. Soc. Am. 63, 1374 (1973).
S. P. Palto, J. Exp. Theor. Phys. 92(4), 552 (2001).
A. H. Gevorgyan, Phys. Rev. E: Stat., Nonlinear, Soft Matter Phys. 85, 021704 (2012).
V. A. Belyakov and V. E. Dmitrienko, Sov. Phys. Solid State 15(9), 1811 (1973).
V. E. Dmitrienko and V. A. Belyakov, Sov. Phys. Solid State 15(11), 2213 (1973).
A. Lakhtakia and W. S. Weiglhofer, Microwave Opt. Technol. 12, 245 (1996).
A. Yu. Val’kov, E. V. Aksenova, and V. P. Romanov, Phys. Rev. E: Stat., Nonlinear, Soft Matter Phys. 87, 022508 (2013).
K. Rokushima and J. Yamakita, J. Opt. Soc. Am. 73, 901 (1983).
F. Wang and A. Lakhtakia, Opt. Commun. 235, 133 (2004).
G. Panasyuk, J. Kelly, E. C. Gartland, and D. W. Allender, Phys. Rev. E: Stat., Nonlinear, Soft Matter Phys. 67, 041702 (2003).
V. Freedericksz and V. Zwetkoff, Phys. Z. Sowjetunion 6, 5 (1934).
M. Warenghem, M. Ismaili, and D. Hector, J. Phys. III 2, 765 (1992).
F. Simoni, F. Bloisi, L. Vicari, M. Warenghem, M. Ismaili, and D. Hector, Europhys. Lett. 21, 189 (1993).
M. Warenghem, M. Ismaili, F. Simoni, L. Bloisi, and F. Vicari, Mol. Cryst. Liq. Cryst. 251, 61 (1994).
M. Warenghem, D. Louvergneux, and F. Simoni, Mol. Cryst. Liq. Cryst. 282, 235 (1996).
J. A. Rayes and R. F. Rodriguez, Mol. Cryst. Liq. Cryst. 317, 135 (1998).
J. A. Olivares, R. F. Rodriguez, and J. A. Rayes, Opt. Commun. 221, 223 (2003).
C. I. Mendoza, J. A. Olivares, and J. A. Rayes, Phys. Rev. E: Stat., Nonlinear, Soft Matter Phys. 70, 062701 (2004).
C. I. Mendoza and J. A. Rayes, Appl. Phys Lett. 89, 091912 (2006).
E. V. Aksenova, A. A. Karetnikov, A. P. Kovshik, V. P. Romanov, and A. Yu. Val’kov, Europhys. Lett. 69, 68 (2005).
E. V. Aksenova, A. A. Karetnikov, A. P. Kovshik, E. V. Kryukov, and V. P. Romanov, J. Opt. Soc. Am. A 25, 600 (2008).
A. A. Karetnikov, N. A. Karetnikov, A. P. Kovshik, E. I. Rjumtsev, E. V. Aksenova, E. V. Kryukov, and V. P. Romanov, Mol. Cryst. Liq. Cryst. 561, 97 (2012).
C. V. Brown and N. J. Mottram, Phys. Rev. E: Stat., Nonlinear, Soft Matter Phys. 68, 031702 (2003).
M. Škarabot, M. Ravnik, D. Babič, N. Osterman, I. Poberaj, S. Žumer, I. Muševič, A. Nych, U. Ognysta, and V. Nazarenko, Phys. Rev. E: Stat., Nonlinear, Soft Matter Phys. 73, 021705 (2006).
A. A. Smith, C. V. Brown, and N. J. Mottram, Phys. Rev. E: Stat., Nonlinear, Soft Matter Phys. 75, 041704 (2007).
S. M. Shelestiuk, V. Y. Reshetnyak, and T. J. Sluckin, Phys. Rev. E: Stat., Nonlinear, Soft Matter Phys. 83, 041705 (2011).
E. A. Babayan, I. A. Budagovsky, S. A. Shvetsov, M. P. Smayev, A. S. Zolot’ko, N. I. Boiko, and M. I. Barnik, Phys. Rev. E: Stat., Nonlinear, Soft Matter Phys. 82, 061705 (2010).
J. Cheng, R. N. Thurston, and D. W. Berreman, J. Appl. Phys. 52, 2576 (1981).
D. W. Berreman and W. R. Heffner, J. Appl. Phys. 52, 3032 (1981).
R. N. Thurston, J. Appl. Phys. 54, 4966 (1983).
F. M. Leslie, Mol. Cryst. Liq. Cryst. 12, 57 (1970).
R. N. Thurston and D. W. Berreman, J. Appl. Phys. 52, 508 (1981).
R. Hiring, W. Funk, H. R. Trebin, M. Schmidt, and H. Schmiedel, J. Appl. Phys. 70, 4211 (1991).
A. A. Karetnikov, N. A. Karetnikov, A. P. Kovshik, E. I. Ryumtsev, E. V. Aksenova, E. V. Kryukov, and V. P. Romanov, Opt. Spectrosc. 108(6), 947 (2010).
J. Mathews and R. L. Walker, Mathematical Methods of Physics (W. A. Benjamin, New York, 1970; Atomizdat, Moscow, 1972).
L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Volume 8: Electrodynamics of Continuous Media (Butterworth-Heinemann, Oxford, 1993; Nauka, Moscow, 1992).
A. A. Karetnikov, N. A. Karetnikov, A. P. Kovshik, and E. I. Ryumtsev, Opt. Spectrosc. 103(4), 646 (2007).
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © E.V. Aksenova, B.B. Divinskii, A.A. Karetnikov, N.A. Karetnikov, A.P. Kovshik, E.V. Kryukov, V.P. Romanov, 2014, published in Zhurnal Eksperimental’noi i Teoreticheskoi Fiziki, 2014, Vol. 145, No. 2, pp. 369–382.
Rights and permissions
About this article
Cite this article
Aksenova, E.V., Divinskii, B.B., Karetnikov, A.A. et al. Peculiarities of light propagation in chiral liquid crystal cells in an external electric field. J. Exp. Theor. Phys. 118, 323–332 (2014). https://doi.org/10.1134/S1063776114010221
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1063776114010221