Abstract
A new type of the geometry of the elements of hexagonal-lattice photonic crystal shaped as the Wigner-Seitz cell is proposed. Dispersion curves of electromagnetic waves are calculated and the photonic crystal band gap characteristics are determined using the plane wave expansion technique. It is shown that the proposed geometry of the photonic crystal element leads to band gap widening. A simple method for fabricating prototypes using negative electron lithography is proposed.
Similar content being viewed by others
References
E. Yablonovitch, Phys. Rev. Lett. 58, 2059 (1987).
N. Fukaya, J. Yonekura, and T. Baba, “First Successful Fabrication and Evaluation of 2-Dimensional Photonic Crystal Waveguides with Bends,” in Proceedings of the 7th Micro Optics Conference (MOC’99), Makuhari (Group of Microoptics, 1999).
J. D. Joannopoulos, S. G. Johnson, J. N. Winn, and R. D. Meade, Photonic Crystals. Molding the Flow of Light (Princeton Univ., Princeton, 2008).
V. Gorelik, Kvant. Elektron. 7, 409 (2007) [Quantum Electron.].
R. Padjen, J. Gerard, and J. Marzin, J. Mod. Opt. 41, 295 (1994).
N.W. Ashcroft and N. D. Mermin, Solid State Physics (Holt, Rinehart & Winston, New York, 1976; Mir, Moscow, 1979).
D. Jovanovic, R. Gajic, and K. Hinger, Acta Physics Polonica A 116, 642 (2009).
R. D. Meade, A. M. Rappe, K. D. Brommer, et al., Phys. Rev. B 48, 8434 (1993).
M. C. Payne, M. P. Teter, D. C. Allan, et al., Rev. Mod. Phys. 64, 1045 (1992).
S. G. Johnson and J. D. Joannopoulos, “The MIT Photonic-Bands Package Home page”, http://abinitio.mit.edu/mpb/.
M. Bass, C. DeCusatis, J. Enoch, et al., Handbook of Optics, 3rd ed., Vol. IV: Optical Properties of Materials, Nonlinear Optics, Quantum Optics (McGraw-Hill, New York, 2009).
H. Duan, D. Winston, J. K.W. Yang, et al., J. Vac. Sci. Technol. B 28(6), 58 (2010).
Q. Wang, S. Kishimoto, and Y. Yamauchi, Opt. Lett. 37, 548 (2012).
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © A.A. Gorbatsevich, A.V. Friman, V.S. Gorelik, 2014, published in Kratkie Soobshcheniya po Fizike, 2014, Vol. 41, No. 6, pp. 37–44.
About this article
Cite this article
Gorbatsevich, A.A., Friman, A.V. & Gorelik, V.S. Two-dimensional hexagonal photonic crystal with new element geometry. Bull. Lebedev Phys. Inst. 41, 175–179 (2014). https://doi.org/10.3103/S1068335614060050
Received:
Published:
Issue Date:
DOI: https://doi.org/10.3103/S1068335614060050