Abstract
Low-frequency photonic band structures in two-dimensional metallic lattices are investigated through both numerical and tight-binding approaches. The metallic structures, displaying respectively four and six fold rotational symmetries, are constructed upon different sets of adjustable structure units, allowing probing the contribution of different structure configurations to the band formation. We show that the low-frequency band structures can be described in the tight-binding framework, and analyzed in terms of local resonance modes and their mutual correlations.
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Ashcroft, N.W., Mermin, N.D.: Solid State Physics, Chap. 10, pp. 175–190. Saunders College, Philadelphia (1976)
Bayindir, M., Temelkuran, B., Ozbay, E.: Tight-binding description of the coupled defect modes in three-dimensional photonic crystal. Phys. Rev. Lett. 84, 2140–2143 (2000)
Belousov, S., Bogdanova, M., Deinega, A., Eyderman, S., Valuev, I., Lozovik, Y., Polischuk, I., Potapkin, B., Ramamurthi, B., Deng, T., Midha, V.: Using metallic photonic crystals as visible light sources. Phys. Rev. B 86, 174201 (2012)
Chan, D.L.C., Soljačić, M., Joannopoulos, J.D.: Thermal emission and design in 2D-periodic metallic photonic crystal slabs. Optics Express 14, 8785–8796 (2006)
Ebbesen, T.W., Lezec, H.J., Ghaemi, H.F., Thio, T., Wolff, P.A.: Extraordinary optical transmission through sub-wavelength hole arrays. Nature 391, 667–669 (1998)
Fleming, J.G., Lin, S.Y., El-Kady, I., Biswas, R., Ho, K.M.: All-metallic three-dimensional photonic crystals with a large infrared bandgap. Nature 417, 52–55 (2002)
Guida, G., Maystre, D., Tayeb, G., Vincent, P.: Mean-field theory of two-dimensional metallic photonic crystals. J. Opt. Soc. Am. B 15, 2308–2315 (1998)
Guida, G.: Numerical study of band gaps generated by randomly perturbed bidimensional metallic cubic photonic crystals. Optics Commun. 156, 294–296 (1998)
Han, S.E., Stein, A., Norris, D.J.: Tailoring self-assembled metallic photonic crystals for modified thermal emission. Phys. Rev. Lett. 99, 053906 (2007)
Hossain, M.M., Chen, G., Jia, B., Wang, X.-H., Gu, M.: Optimization of enhanced absorption in 3D-woodpile metallic photonic crystals. Optics Express 18, 9048–9054 (2010)
Kim, K., Stroud, D.: Photonic band structures of periodic arrays of pores in a metallic host: tight-binding beyond the quasistatic approximation. Optics Express 21, 19834–19849 (2013)
Lidorikis, E., Sigalas, M.M., Economou, E.N., Soukoulis, C.M.: Tight-binding parametrization for photonic band gap materials. Phys. Rev. Lett. 81, 1405–1408 (1998)
Lin, S.Y., Fleming, J.G., Li, Z.Y., El-Kady, I., Biswas, R., Ho, K.M.: Origin of absorption enhancement in a tungsten, three-dimensional photonic crystal. J. Opt. Soc. Am. B 20, 1538–1541 (2003)
Modinos, A., Yannopapas, V., Stefanou, N.: Scattering of electromagnetic waves by nearly periodic structures. Phys. Rev. B 61, 8099–8107 (2000)
Moroz, A.: Three-dimensional complete photonic-band-gap structures in the visible. Phys. Rev. Lett. 83, 5274–5277 (1999)
Pendry, J.B.: Photonic band structures. J. Mod. Opt. 41, 209–229 (1994)
Pendry, J.B., Holden, A.J., Stewart, W.J., Youngs, I.: Extremely low frequency plasmons in metallic mesostructures. Phys. Rev. Lett. 76, 4773–4776 (1996)
Pendry, J.B., Holden, A.J., Robbins, D.J., Stewart, W.J.: Low frequency plasmons in thin-wire structures. J. Phys. Condens. Matter 10, 4785–4809 (1998)
Sievenpiper, D.F., Sickmiller, M.E., Yablonovitch, E.: 3D wire mesh photonic crystals. Phys. Rev. Lett. 76, 2480–2483 (1996)
Stefanou, N., Modinos, A.: Impurity bands in photonic insulators. Phys. Rev. B 57, 12127–12133 (1998)
Temelkuran, B., Ozbay, E., Sigalas, M., Tuttle, G., Soukoulis, C.M., Ho, K.M.: Reflection properties of metallic photonic crystals. Appl. Phys. A 66, 363–365 (1998)
Wan, J.T.K., Chan, C.T.: Thermal emission by metallic photonic crystal slabs. Appl. Phys. Lett. 89, 041915 (2006)
Wang, K.: Light localization in photonic band gaps of quasiperiodic dielectric structures. Phys. Rev. B 82, 045119 (2010)
Wang, K.: Light wave states in quasiperiodic metallic structures. Phys. Rev. B 86, 235110 (2012)
Withayachumnankul, W., Abbott, D.: Metamaterials in the Terahertz regime. IEEE Photonics J 1, 99–118 (2009)
Yablonovitch, E.: Inhibited spontaneous emission in solid-state physics and electronics. Phys. Rev. Lett. 58, 2059–2062 (1987)
Yannopapas, V.: Thermal emission from three-dimensional arrays of gold nanoparticles. Phys. Rev. B 73, 113108 (2006)
Yannopapas, V.: Negative refractive index in the near-UV from Au-coated CuCl nanoparticle superlattices. Phys. Stat. Sol. (RRL) 1, 208–210 (2007)
Yannopapas, V.: Non-reciprocal photonic bands in a two-dimensional holey metal filled with a magnetoelectric material. J. Opt. 14, 085105 (2012)
Yariv, A., Xu, Y., Lee, R.K., Scherer, A.: Coupled-resonator optical waveguide: a proposal and analysis. Opt. Lett. 24, 711–713 (1999)
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Wang, K. Low-frequency photonic bands in metallic lattices: a tight-binding description. Opt Quant Electron 47, 3131–3144 (2015). https://doi.org/10.1007/s11082-014-0046-5
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DOI: https://doi.org/10.1007/s11082-014-0046-5