Abstract
We have designed a flat graded index lens made from a metallic graded 2D photonic crystal. The gradient of index has been obtained by varying the filling factor of a flat slab of photonic crystal in the direction perpendicular to that of the propagation of the electromagnetic field. This gradient has been designed in such a way that the flat slab focuses a plane wave. With applications in the microwave range in view, we considered a photonic crystal which consists of copper strips.
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References
E. Akmansoy, E. Centeno, K. Vynck, D. Cassagne, J.-M. Lourtioz, Graded photonic crystals curve the flow of light: an experimental demonstration by the mirage effect. Appl. Phys. Lett. 92(13), 133501 (2008). doi:10.1063/1.2901684
K. Aydin, I. Bulu, E. Ozbay, Subwavelength resolution with a negative-index metamaterial superlens. Appl. Phys. Lett. 90(25), 254102 (2007)
H. Boutayeb, T. Denidni, K. Mahdjoubi, A. Tarot, A. Sebak, L. Talbi, Analysis and design of a cylindrical EBG-based directive antenna. IEEE Trans. Antennas Propag. 54(1), 211–219 (2006)
E. Centeno, E. Akmansoy, K. Vynck, D. Cassagne, J.-M. Lourtioz, Light bending and quasi-transparency in metallic graded photonic crystals. Photonics Nanostruct. Fundam. Appl. 8(2), 120–124 (2010)
E. Centeno, D. Cassagne, Graded photonic crystals. Opt. Lett. 30(17), 2278–2280 (2005)
S. Chaillou, J. Wiart, W. Tabbara, A subgridding scheme based on mesh nesting for the fdtd method. Microw. Opt. Technol. Lett. 22(3), 211–214 (1999)
A. de Lustrac, F. Gadot, E. Akmansoy, T. Brillat, High-directivity planar antenna using controllable photonic bandgap material at microwave frequencies. Appl. Phys. Lett. 78(26), 4196–4198 (2001)
F. Gadot, T. Brillat, E. Akmansoy, A. de Lustrac, New type of metallic photonic bandgap material suitable for microwave applications. Electron. Lett. 36(7), 640–641 (2000)
N. Guerin, S. Enoch, G. Tayeb, P. Sabouroux, P. Vincent, H. Legay, A metallic Fabry–Perot directive antenna. IEEE Trans. Antennas Propag. 54(1), 220–224 (2006)
P. Ikonen, C. Simovski, S. Tretyakov, Compact directive antennas with a wire-medium artificial lens. Microw. Opt. Technol. Lett. 43(6), 467–469 (2004)
H. Kurt, D.S. Citrin, Graded index photonic crystals. Opt. Express 15(3), 1240–1253 (2007)
H. Kurt, E. Colak, O. Cakmak, H. Caglayan, E. Ozbay, The focusing effect of graded index photonic crystals. Appl. Phys. Lett. 93(17), 171108 (2008)
J. Lourtioz, Photonic Crystals: Toward Nanoscale Photonic Devices (Springer, Berlin, 2005)
J.-M. Lourtioz, A. de Lustrac, Metallic photonic crystals. C. R. Phys. 3(1), 79–88 (2002)
D.T. Moore, Gradient-index optics: a review. Appl. Opt. 19(7), 1035–1038 (1980)
M. Notomi, Theory of light propagation in strongly modulated photonic crystals: refractionlike behavior in the vicinity of the photonic band gap. Phys. Rev. B 62(16), 10696–10705 (2000)
A.O. Pinchuk, G.C. Schatz, Metamaterials with gradient negative index of refraction. J. Opt. Soc. Am. A 24(10), A39–A44 (2007)
A. Taflove, S.C. Hagness, Computational Electrodynamics: The Finite-Difference Time-Domain Method, 2nd edn. (Artech House, Norwood, 2005)
C. Tan, T. Niemi, C. Peng, M. Pessa, Focusing effect of a graded index photonic crystal lens. Opt. Commun. 284(12), 3140–3143 (2011)
E. Yablonovitch, Photonic crystals: what’s in the name. Opt. Photonics News mars, 12–13 (2007)
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Gaufillet, F., Akmansoy, É. Metallic graded photonic crystals for graded index lens. Appl. Phys. A 109, 1071–1074 (2012). https://doi.org/10.1007/s00339-012-7386-4
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DOI: https://doi.org/10.1007/s00339-012-7386-4