Abstract
Transmission spectra of a one-dimensional photonic crystal (PC) formed by two multilayer dielectric mirrors and a planar oriented layer of 5CB nematic liquid crystal (LC) that is sandwiched between these mirrors and serves as a structure defect are investigated experimentally. Specific features of the behavior of the spectrum of defect modes as a function of the angle of incidence of light on the crystal are studied for two polarizations: parallel and perpendicular to the director of the LC; the director either lies in the plane of incidence or is perpendicular to it. It is shown that, for the configurations considered, the maxima of the defect modes shift toward the short-wavelength region as the tilt angle of incidence radiation increases; this tendency is more manifest for the parallel-polarized component, when the director lies in the plane of incidence. In the latter case, the width of the photonic band gap (PBG) appreciably decreases. The temperature dependence of the polarization components of the transmission spectra of a PC is investigated in the case of normal incidence of light. The spectral shift of defect modes due to the variation of the refractive index of the LC at the nematic-isotropic liquid phase transition point is measured. It is shown that, in real PCs, the amplitude of defect modes decreases when approaching the center of the band gap, as well as when the number of layers in the dielectric mirrors increases. Theoretical transmission spectra of the PCs calculated by the method of recurrence relations with regard to the decay of defect modes are in good agreement with experimental data.
Similar content being viewed by others
References
J. D. Joannopoulos, R. D. Meade, and J. N. Winn, Photonic Crystals: Molding the Flow of Light (Princeton Univ. Press, Princeton, N.J., 1995).
Photonic Crystals: Advances in Design, Fabrication, and Characterization, Ed. by K. Busch, R. B. Wehrspohn, S. Lölkes, and H. Föll (Wiley, Berlin, 2004).
V. F. Shabanov, S. Ya. Vetrov, and A. V. Shabanov, Optics of Real Photonic Crystals. Mesomorphic Defects, Irregularities (Sib. Otd. Ross. Akad. Nauk, Novosibirsk, 2005) [in Russian].
V. P. Bykov, Zh. Éksp. Teor. Fiz. 62, 505 (1972) [Sov. Phys. JETP 35, 269 (1972)].
Yu. S. Kivshar and G. P. Agrawal, Optical Solitons: From Fibers to Photonic Crystals (Academic, Amsterdam, 2003; Fizmatlit, Moscow, 2005).
A. M. Zheltikov, Usp. Fiz. Nauk 170, 1203 (2000) [Phys. Usp. 43, 1125 (2000)].
A. Yariv and P. Yeh, Optical Waves in Crystals: Propagation and Control of Laser Radiation (Wiley, New York, 1984; Mir, Moscow, 1987).
J. Vu kovic, M. Lončr, H. Mabuchi, et al., Phys. Rev. E 65, 016608 (2001).
Y. Akahane, T. Asano, B. S. Song, et al., Nature 425, 944 (2003).
O. Painter, R. Lee, A. Yariv, et al., Science 284, 1819 (1999).
B. M. Shi, Z. Jiang, X. F. Zhou, et al., J. Appl. Phys. 91,6769 (2002).
M. G. Martem’yanov, T. V. Dolgova, and A. A. Fedyanin, Zh. Éksp. Teor. Fiz. 125, 527 (2004) [JETP 98, 463 (2004)].
M. Soljačič and J. D. Joannopoloulos, Nature Mater. 3, 211 (2004).
F. Wang, S. N. Zhu, K. F. Li, et al., Appl. Phys. Lett. 88, 071102 (2006).
M. Born and E. Wolf, Principles of Optics, 4th ed. (Pergamon, Oxford, 1969; Nauka, Moscow, 1970).
T. N. Krylova, Interference Covers (Mashinostroenie, Leningrad, 1973) [in Russian].
M. F. Weber, C. A. Stover, L. R. Gilbert, et al., Science 287, 2451 (2000).
Y. Fink, J. N. Winn, S. Chen, et al., Science 282, 1679 (1998).
A. Mandatory, C. Sibilia, M. Bertolotti, et al., J. Opt. Soc. Am. B 22, 1785 (2005).
G. Liang, P. Han, and H. Wang, Opt. Lett. 29, 192 (2004).
J. P. Dowling, M. Scalora, M. J. Bloemer, and Ch. M. Bowden, J. Appl. Phys. 75, 1896 (1994).
N. Mattiucci, G. D’Aguanno, M. J. Bloemer, et al., Phys. Rev. E 72, 066612 (2005).
Z. S. Yang, N. H. Kwong, R. Binder, et al., J. Opt. Soc. Am. B 22, 2144 (2002).
L. M. Blinov, Electro-Optical and Magneto-Optical Properties of Liquid Crystals (Nauka, Moscow, 1978; Wiley, New York, 1983).
H. Kitzerow, Liq. Cryst. Today 11, 3 (2002).
S. Ya. Vetrov and A. V. Shabanov, Zh. Éksp. Teor. Fiz. 101, 1341 (1992) [Sov. Phys. JETP 74, 719 (1992)].
K. Busch and S. John, Phys. Rev. Lett. 83, 967 (1999).
K. Yoshino, Y. Shimoda, Y. Kawagishi, et al., Appl. Phys. Lett. 75, 932 (1999).
S. W. Leonard, J. P. Mondia, H. M. van Dreal, et al., Phys. Rev. B 61, R2389 (2001).
Ch. Schuller, F. Klopf, J. P. Reithmaier, et al., Appl. Phys. Lett. 82, 2767 (2003).
B. Wild, R. Ferrini, R. Houdre, et al., Appl. Phys. Lett. 84, 846 (2004).
R. Ozaki, T. Matsui, M. Ozaki, and K. Yoshino, Jpn. J. Appl. Phys. 41, L1482 (2002).
R. Ozaki, T. Matsui, M. Ozaki, and K. Yoshino, Electron. Commun. Jpn., Part 2: Electron. 87, 24 (2004).
R. Ozaki, T. Matsui, M. Ozaki, et al., Appl. Phys. Lett. 82, 3593 (2003).
B. Maune, J. Witzens, Th. Baehr-Jones, et al., Opt. Express 13, 4699 (2005)
S. Ya. Vetrov and A. V. Shabanov, Zh. Éksp. Teor. Fiz. 120, 1126 (2001) [JETP 93, 977 (2001)].
E. Kosmidou, E. E. Kriezis, and Th. D. Tsiboukis, IEEE Quantum Electron. 41, 657 (2005).
Y.-R. Ha, Y.-C. Kim, and H. Y. Park, Appl. Phys. Lett. 79,15 (2001).
M. Haurylau, S. P. Andersen, K. L. Marshall, et al., Appl. Phys. Lett. 88, 061103 (2006).
S. M. Weiss, M. Haurylau, and Ph. M. Fauchet, Opt. Mater. 27, 740 (2005).
G. Mertens, Th. Roder, H. Mattias, et al., Appl. Phys. Lett. 15, 3036 (2003).
S. M. Weiss, H. Ouyang, J. Zhang, et al., Opt. Express 13, 1090 (2005).
S. M. Weiss and Ph. M. Fauchet, Phys. Status Solidi A 197, 556 (2003).
T. T. Larsen, A. Bjarklen, D. S. Hermann, et al., Opt. Express 11, 2589 (2003).
Ch. Schuller, J. P. Reithmaier, J. Zimmermann, et al., Appl. Phys. Lett. 87, 121105 (2005).
G. Alagappan, X. W. Sun, P. Shum, et al., J. Opt. Soc. Am. B 23, 159 (2006).
R. Ferrini, J. Marz, L. Zuppiroli, et al., Opt. Lett. 31, 1238 (2006).
V. A. Gunyakov, V. P. Gerasimov, S. A. Myslivets, et al., Pis’ma Zh. Tekh. Fiz. 32(11), 76 (2006) [Tech. Phys. Lett. 32, 951 (2006)].
S. A. Myslivets, V. A. Gunyakov, V. P. Gerasimov, et al., Dokl. Akad. Nauk 413, 36 (2007) [Dokl. Phys. 52, 134 (2007)].
H. Högström and C. G. Ribbing, Opt. Commun. 271,148 (2007).
S. Ya. Vetrov, A. V. Shabanov, and E. V. Shustitskiĭ, Opt. Spektrosk. 100, 454 (2006) [Opt. Spectrosc. 100, 409 (2006)].
V. A. Bushuev and A. D. Pryamikov, Kvantovaya Élektron. (Moscow) 33, 515 (2003).
W. Demtröder, Laser Spectroscopy: Basic Concepts and Instrumentation (Springer, New York, 1981; Nauka, Moscow, 1985).
J. Faist, J.-D. Ganiere, Ph. Buffat, et al., J. Appl. Phys. 66, 1023 (1989).
V. Ya. Zyryanov and V. Sh. Épshteĭn, Prib. Tekh. Éksp., No. 2, 164 (1987).
I. H. Malitson, J. Opt. Soc. Am. 55, 1205 (1965).
D. L. Wood and K. Nassau, Appl. Opt. 21, 2978 (1982).
S. A. Akhmanov and S. Yu. Nikitin, Physical Optics (Mosk. Gos. Univ., Moscow, 1998; Clarendon, Oxford, 1997).
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © V.G. Arkhipkin, V.A. Gunyakov, S.A. Myslivets, V.P. Gerasimov, V.Ya. Zyryanov, S.Ya. Vetrov, V.F. Shabanov, 2008, published in Zhurnal Éksperimental’noĭ i Teoreticheskoĭ Fiziki, 2008, Vol. 133, No. 2, pp. 447–459.
Rights and permissions
About this article
Cite this article
Arkhipkin, V.G., Gunyakov, V.A., Myslivets, S.A. et al. One-dimensional photonic crystals with a planar oriented nematic layer: Temperature and angular dependence of the spectra of defect modes. J. Exp. Theor. Phys. 106, 388–398 (2008). https://doi.org/10.1134/S1063776108020179
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1063776108020179