Abstract
The band structure of three-dimensional cubic approximants of a photonic quasicrystal has been determined by numerical calculation. The approximants of different orders appear to have large, almost isotropic, band gaps in a wide range of relative permittivity values. The existence of the complete band gap in the photonic quasicrystal with the six-dimensional bcc lattice is shown.
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References
D. Shechtman, I. Blech, D. Gratias, et al., Phys. Rev. Lett. 53, 1951 (1984).
E. Maciá, Rep. Prog. Phys. 69, 397 (2006).
M. Quilichini, Rev. Mod. Phys. 69, 277 (1997).
Yu. Kh. Vekilov, E. I. Isaev, and S. F. Arslanov, Phys. Rev. B 62, 14040 (2000).
M. Krajci and J. Hafner, Phys. Rev. B 75, 024116 (2007).
Y. S. Chan, C. T. Chan, and Z. Y. Liu, Phys. Rev. Lett. 80, 956 (1998).
V. P. Bykov, Zh. Éksp. Teor. Fiz. 62, 505 (1972) [Sov. Phys. JETP 35, 269 (1972)].
Y. Yablonovitch, Phys. Rev. Lett. 58, 2059 (1987).
S. John, Phys. Rev. Lett. 58, 2486 (1987).
V. N. Bogomolov, D. A. Kurdyukov, A. V. Prokof’ev, et al., Pis’ma Zh. Éksp. Teor. Fiz. 63, 496 (1996) [JETP Lett. 63, 520 (1996)].
S. G. Johnson and J. D. Joannopoulos, Photonic Crystals: The Road from Theory to Practice (Kluwer Academic, London, 2003).
A. M. Zheltikov, Usp. Fiz. Nauk 174, 73 (2004) [Phys. Usp. 47, 69 (2004)].
J. D. Joannopoulos, R. D. Meade, and J. N. Winn, Photonic Crystals: Molding the Flow of Light (Princeton Univ. Press, Princeton, 1999).
M. E. Zoorob, M. D. B. Charlton, G. J. Parker, et al., Nature 404, 740 (2000).
W. Man, M. Megens, P. J. Steinhardt, et al., Nature 436, 993 (2005).
A. Lidermann, L. Cademartiri, M. Hermatschweiler, et al., Nature Mater. 5, 942 (2006).
J. Xu, R. Ma, X. Wang, et al., Opt. Express 15, 4287 (2007).
M. Peach, Mater. Today 9(7–8), 44 (2006).
K. Wang, S. David, A. Chelnokov, and J. M. Lourtioz, J. Mod. Opt. 50, 2095 (2003).
P. N. Dyachenko and Yu. V. Miklyaev, Proc. SPIE 6182, 618221 (2006).
V. E. Dmitrienko and M. Kleman, Philos. Mag. Lett. 79, 359 (1999).
V. E. Dmitrienko, M. Kleman, and F. Mauri, Phys. Rev. B 60, 9383 (1999).
S. G. Johnson and J. D. Joannopoulos, Opt. Express 8, 173 (2001).
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Original Russian Text © P.N. Dyachenko, Yu.V. Miklyaev, V.E. Dmitrienko, 2007, published in Pis’ma v Zhurnal Éksperimental’noĭ i Teoreticheskoĭ Fiziki, 2007, Vol. 86, No. 4, pp. 270–273.
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Dyachenko, P.N., Miklyaev, Y.V. & Dmitrienko, V.E. Three-dimensional photonic quasicrystal with a complete band gap. Jetp Lett. 86, 240–243 (2007). https://doi.org/10.1134/S0021364007160047
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DOI: https://doi.org/10.1134/S0021364007160047