Abstract
The reflection spectra of a cholesteric photonic crystal have been measured. The experimental spectra are described by a theoretical expression that follows from the analytical solution of the Maxwell equations. The photonic bandgap width Δν has been determined. The photonic bandgap width changes abruptly as the position of the diffraction band changes. The temperature dependence of the relative bandgap width Δν/ν0 and the order parameter for a photonic crystal are described by Landau’s theory of phase transitions.
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References
P. G. de Gennes, The Physics of Liquid Crystals, (Clarendon, Oxford, 1974; Mir, Moscow, 1977).
L. M. Blinov, Electro-Optical and Magneto-Optical Properties of Liquid Crystals (Nauka, Moscow, 1978; Wiley, New York, 1983).
R. Dreher, G. Meier, and A. Saupe, Mol. Cryst. Liq. Cryst. 13, 17 (1971).
V. A. Belyakov, V. E. Dmitrienko, and V. P. Orlov, Sov. Phys.—Usp. 22(2), 63 (1979).
V. A. Belyakov and V. E. Dmitrienko, Optics of Chiral Liquid Crystals (Harwood, London, 1989).
P. V. Dolganov, G. S. Ksyonz, V. E. Dmitrienko, and V. K. Dolganov, Phys. Rev. E: Stat., Nonlinear, Soft Matter Phys. 87, 032506 (2013).
B. J. Zywucki and W. Kuczynski, IEEE Trans. Dielectr. Electr. Insul. 8, 512 (2001).
I. Haller, Prog. Solid State Chem. 10, 103 (1975).
J. Li, S. Gauza, and S.-T. Wu, J. Appl. Phys. 96, 19 (2004).
P. V. Datta Prasad and V. G. K. M. Pisipati, Mol. Cryst. Liq. Cryst. 511, 102 (2009).
S. Sreehari Sastry, T. Vindhya Kumari, K. Mallika, B. Gowri Sankara Rao, Sie-Tiong Ha, and S. Lakshminarayana, Liq. Cryst. 39, 295 (2012).
J. Lalitha Kumari, P. V. Datta Prasad, D. Madhavi Latha, and V. G. K. M. Pisipati, Phase Transitions 85, 52 (2012).
M. Vuks, Opt. Spektrosk. 20, 361 (1966).
S. Chandrasekhar and N. V. Madhusudana, J. Phys. (Paris), Colloq. 30, C4 (1969).
S. Erkan, M. Çetinkaya, S. Yildiz, and H. Özbek, Phys. Rev. E: Stat., Nonlinear, Soft Matter Phys. 86, 041705 (2012).
I. Chirtoc, M. Chirtoc, C. Glorieux, and J. Thoen, Liq. Cryst. 31(2), 229 (2004).
S. Yildiz, H. Özbek, C. Glorieux, and J. Thoen, Liq. Cryst. 34(5), 611 (2007).
L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Volume 5: Statistical Physics, Part 1 (Nauka, Moscow, 1995; Butterworth-Heinemann, Oxford, 2000).
P. M. Chaikin and T. C. Lubensky, Principles of Condensed Matter Physics (Cambridge University Press, Cambridge, 1995).
V. A. Belyakov and V. E. Dmitrienko, Sov. Phys.—Usp. 28(7), 535 (1985).
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Original Russian Text © P.V. Dolganov, S.O. Gordeev, V.K. Dolganov, 2014, published in Zhurnal Eksperimental’noi i Teoreticheskoi Fiziki, 2014, Vol. 145, No. 6, pp. 1010–1014.
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Dolganov, P.V., Gordeev, S.O. & Dolganov, V.K. Temperature dependence of the photonic bandgap and the orientational order parameter for a cholesteric photonic crystal. J. Exp. Theor. Phys. 118, 891–895 (2014). https://doi.org/10.1134/S106377611406003X
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DOI: https://doi.org/10.1134/S106377611406003X