Abstract
Experimental and numerical results on photonic crystals are presented for the frequency range 26–60 GHz. The material used is alumina where two techniques have been applied for fabricating the photonic crystals: manual assembly of alumina rods and rapid prototyping. The observed positions of the fundamental and higher photonic band gaps are in excellent agreement with the calculated results. A new type of defect in the 3D woodpile structure, is created by inserting interstitial rods. As a new 2D structure a square parquet lattice is investigated. The concept of a negative index of refraction is adressed including a model calculation and an experimental demonstration by the transmission through a slab of a 2D photonic crystal.
This work has been supported by FWF, Austria, project No. 15513, and the Serbian Ministry of science, project No. 1469.
References
[1] E. Yablonovitch: Scientific American 12 (2001) 34.Search in Google Scholar
[2] J.D. Joannopoulos, R.D. Maede, J.N. Winn: Photonic Crystals, Molding the Flow of Light, Princeton University Press (1995).Search in Google Scholar
[3] E. Yablonovitch: Phys. Rev. Letters 58 (1987) 2059.10.1103/PhysRevLett.58.2059Search in Google Scholar PubMed
[4] S. John: Phys. Rev. B 58 (1987) 2486.10.1103/PhysRevLett.58.2486Search in Google Scholar
[5] V.G. Veselago: Uspekhi. Fiz. Nauk 92 (1967) 517 (Soviet Physics Uspekhi 10 (1968) 509).10.3367/UFNr.0092.196707d.0517Search in Google Scholar
[6] J.B. Pendry: Phys. Rev. Lett. 85 (2000) 3966.10.1103/PhysRevLett.85.3966Search in Google Scholar PubMed
[7] J.B. Pendry: Physics World 14 (2001) 47.10.1088/2058-7058/14/9/32Search in Google Scholar
[8] R.A. Shelby, D.R. Smith, S. Schultz: Science 292 (2001) 77.10.1126/science.1058847Search in Google Scholar PubMed
[9] E. Cubukcu, K. Aydin, E. Ozbay: Phys. Rev. Lett. 91 (2003) 207401-1.10.1103/PhysRevLett.91.207401Search in Google Scholar PubMed
[10] E. Cubukcu, K. Aydin, E. Özbay, S. Foteinopoulou, C.M. Soukoulis: Nature 423 (2003) 605.10.1038/423605aSearch in Google Scholar PubMed
[11] P.V. Parimi, W.T. Lu, P. Vodo, S. Sridhar: Nature 426 (2003) 404.10.1038/426404aSearch in Google Scholar PubMed
[12] P.V. Parimi, W.T. Lu, P. Vodo, J. Sokoloff, S. Sridhar: Cond-Mat/0308349, 18 (2003).Search in Google Scholar
[13] http://home.earthlink.net/~jpdowling/pbgbib.htmlSearch in Google Scholar
[14] M. Maldovan, C.K. Ullal, C.W. Carter, E.L. Thomas: Nature Materials 2 (2003) 664.10.1038/nmat979Search in Google Scholar PubMed
[15] M. Maldovan, E.L. Thomas, C.W. Carter: Applied Physics Letters 84 (2004) 362.10.1063/1.1642279Search in Google Scholar
[16] E. Yablonovitch: Nature Materials 2 (2003) 648.10.1038/nmat987Search in Google Scholar PubMed
[17] K.M. Ho, C.T. Chan, C.M. Soukoulis: Phys. Rev. Lett. 65 (1990) 3152.10.1103/PhysRevLett.65.3152Search in Google Scholar PubMed
[18] K. Sakoda: Optical Properties of Photonic Crystals, Springer Series in Optical Sciences (2001).10.1007/978-3-662-14324-7Search in Google Scholar
[19] J.B. Pendry, A. McKinnon: Phys. Rev. Lett. 69 (1992) 2772.10.1103/PhysRevLett.69.2772Search in Google Scholar PubMed
[20] J.B. Pendry, J. Physics: Cond. Matter 8 (1996) 1085.10.1088/0953-8984/8/9/003Search in Google Scholar
[21] A.L. Reynolds: Translight Software, University of Glasgow (2000).Search in Google Scholar
[22] K.S. Kunz, R.J. Luebbers: The Finite Difference Time Domain Method for Electromagnetics, CRC Press (1993).Search in Google Scholar
[23] A. Taflove, S.C. Hagnes: Computational Electrodynamics-FDTD Method, Artech House (2000).Search in Google Scholar
[24] D.F. Sievenpiper, M.E. Sickmiller, E. Yablonovitch: Phys. Rev. Lett. 76 (1996) 2480.10.1103/PhysRevLett.76.2480Search in Google Scholar PubMed
[25] B. Temelkuran, H. Altung, E. Ozbay: IEE Proc. Optoelectronics 145 (1998) 409.10.1049/ip-opt:19982471Search in Google Scholar
[26] B. Temelkuran, M. Bayindir, E. Ozbay, J.P. Kavanaugh, M.M. Sigalas, G. Tuttle: Appl. Phys. Lett. 78 (2001) 264.10.1063/1.1339256Search in Google Scholar
[27] C.C. Chang, Y. Qian, T. Itoh: Progr. in Electrom. Research, PIER 41 (2003) 211.10.2528/PIER02010890Search in Google Scholar
[28] J.G. Fleming, S.Y. Lin, I. El-Kaidy, R. Biswas, K.M. Ho: Nature 417 (2002) 52.10.1038/417052aSearch in Google Scholar PubMed
[29] E. Yablonovitch, T.J. Gmitter, K.M. Leung: Phys. Rev. Lett. 67 (1991) 2295.10.1103/PhysRevLett.67.2295Search in Google Scholar
[30] E. Ozbay: J. Opt. Soc. Am. B 13 (1996) 1945.10.1364/JOSAB.13.001945Search in Google Scholar
[31] E. Ozbay, A. Abeyeta, G. Tuttle, M. Tringades, R. Biswas, C.T. Chan, C.M. Soukoulis, K.M. Ho: Phys. Rev. B 50 (1994) 1945.10.1103/PhysRevB.50.1945Search in Google Scholar
[32] S. Foteinopoulou, E.N. Economou, C.M. Soukoulis: Phys. Rev. Lett. 90 (2003) 107402-1.10.1103/PhysRevLett.90.107402Search in Google Scholar
[33] S. Noda, T. Baba (Eds.): Roadmap on Photonic Crystals, Kluwer Academic Publishers (2003).10.1007/978-1-4757-3716-5Search in Google Scholar
[34] J. Stampfl, R.C. Vives, S. Seidler, R. Liska, F. Schwager, H. Gruber, A. Woesz, P. Fratzl: VR@P 2003, Int. Conference on Advanced Research in Virtual and Rapid Prototyping, Leiria, Oct. (2003).Search in Google Scholar
[35] S. Kirihara, Y. Miyamoto, K. Takenaga, M.W. Takeda, K. Kajiyama: Sol. State Commun. 121 (2002) 435.10.1016/S0038-1098(01)00479-3Search in Google Scholar
[36] H.S. Sözüer, J.P. Dowling: J. Mod. Optics 41 (1994) 231.10.1080/09500349414550291Search in Google Scholar
[37] K.M. Ho, C.T. Chan, C.M. Soukoulis, R. Biswas, M. Sigolas: Sol. St. Commun. 89 (1994) 413.10.1016/0038-1098(94)90202-XSearch in Google Scholar
[38] M. Notami: Phys. Rev. B 62 (2000) 10696.10.1103/PhysRevB.62.10696Search in Google Scholar
[39] C. Luo, S.G. Johnson, J.D. Joannopoulos, J.B. Pendry: Phys. Rev. B 65 (2002) 201104-1.10.1103/PhysRevB.65.201104Search in Google Scholar
© 2004 Carl Hanser Verlag, München
