Abstract
We present an efficient approach for computing the optical properties of defect structures embedded in Photonic Crystals. This approach is based on an expansion of the electromagnetic field into optimally localized photonic Wannier functions and maximally utilizes the information of the underlying Photonic Crystals available from photonic bandstructure computations. While we demonstrate the efficiency of this approach by considering several defect structures for TM-polarized radiation in two-dimensional Photonic Crystals, the approach itself can easily be extended to the case of TE-polarization and three-dimensional Photonic Crystals.
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References
E. Yablonovitch, Phys. Rev. Lett. 58 2059 (1987)
S. John, Phys. Rev. Lett. 58 2486 (1987)
C.M. Soukoulis (Ed.), Photonic Crystals and Light Localization in the 21st Century, NATO Science Series C 563, Kluwer Academic (Dordrecht, Boston, London), 2001
A. Blanco et al., Nature (London) 405 437 (2000)
Yu.A. Vlasov et al., Nature (London) 414 289 (2001)
S. John and T. Quang, Phys. Rev. A 50 1764 (1994)
N. Vats, K. Busch, and S. John, Phys. Rev. A 65 043808 (2002)
A. Mekis et al., Phys. Rev. Lett. 77 3787 (1996)
O. Painter et al., Science 284 1819 (1999)
P.L. Philips et al., J. Appl. Phys. 85 6337 (1999)
D. Labilloy et al., Phys. Rev. B 59 1649 (1999)
U. Grüning, V. Lehmann, and C.M. Engelhardt, Appl. Phys. Lett. 66 3254 (1995)
J. Schilling et al., Opt. Mat. 3 S121 (2001)
S.G. Johnson, S. Fan, P.R. Villeneuve, and J.D. Joannopoulos, Phys. Rev. B 60 5751 (1999)
S.G. Johnson, P.R. Villeneuve, S. Fan, and J.D. Joannopoulos, Phys. Rev. B 62 8212 (2000)
S.G. Johnson and J.D. Joannopoulos, Optics Express 8 173 (2001)
S. Fan, P.R. Villeneuve, and H.A. Haus, Phys. Rev. Lett. 80 960 (1998)
S. Noda, A. Alongkarn, and M. Imada, Nature (London) 407 608 (2000)
N. Aközbek and S. John, Phys. Rev. E 57 2287 (1998)
N. Bhat and J. Sipe, Phys. Rev. E 64 056604 (2001)
S. Mingaleev, Y. Kivshar, and R.A. Sammut Phys. Rev. E 62 5777 (2000)
K. Sakoda, Optical properties of Photonic Crystals, Springer (Berlin, Heidelberg, New York), 2001
K. Busch and S. John, Phys. Rev. E 58 3896 (1998)
K. Busch and S. John, Phys. Rev. Lett. 83 967 (1999)
D. Hermann et al., Optics Express 8 167 (2001)
E. Lidorikis et al., Phys. Rev. Lett. 81 1405 (1998)
J.P. Albert et al., Phys. Rev. E 61 4381 (2000)
N. Marzari and D. Vanderbilt, Phys. Rev. E 56 12847 (1997)
D.Z.-Y. Ting, E.T. Yu, and T.C. McGill, Phys. Rev. B 45 3583 (1992)
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Garcia-Martin, A., Hermann, D., Busch, K. et al. Solid state theoretical methods for defect computations in Photonic Crystals. MRS Online Proceedings Library 722, 11 (2002). https://doi.org/10.1557/PROC-722-L1.1
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DOI: https://doi.org/10.1557/PROC-722-L1.1