Abstract
A negative index of refraction in a three-dimensional collection of coated nano-spheres is observed in the terahertz (THz) spectral region. This negative-index metamaterial is a binary composite of two different types of coated nano-spheres (SiO2@SiC/SiO2@AZO); in one type SiO2 spheres coated with a semiconductor (SiC) nano-shell and in another one, nano-shells made of a plasmonic material (AZO). The effective medium parameters derived by extended Maxwell-Garnett (EMG) effective medium theory by specifying the Mie resonances of the coated nano-spheres in the binary composite. The results are supplemented with frequency band structure and transmission curves, calculated by an accurate electromagnetic multiple-scattering technique. The predictions of the EMG theory are in agreement with those of the multiple-scattering technique, providing the effective medium approximation a helpful guide for the experimental works in this field.
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References
V.G. Veselago, Sov. Phys. Usp. 10, 509 (1968).
R.A. Silin, Opt. Spectrosc. 44, 109 (1978).
J.B. Pendry, Contemp. Phys. 45, 191 (2004).
D.R. Smith, W.J. Padilla, D.C. Vier, S.C. Nemat-Nasser, S. Schultz, Phys. Rev. Lett. 84, 4184 (2000).
R.A. Shelby, D.R. Smith, S. Schultz, Science 292, 77 (2001).
J.B. Pendry, A.J. Holden, W.J. Stewart, I. Youngs, Phys. Rev. Lett. 76, 4773 (1996).
J.B. Pendry, A.J. Holden, D.J. Robbins, W.J. Stewart, IEEE Trans. Microwave Theory Tech. 47, 2075 (1999).
T.J. Yen, W.J. Padilla, N. Fang, D.C. Vier, D.R. Smith, J.B. Pendry, D.N. Basov, X. Zhang, Science 303, 1494 (2004).
V. Yannopapas, A. Moroz, J. Phys.: Condens. Matter 17, 3717 (2005).
V.M. Shalaev, Nonlinear Optics of Random Media: Fractal Composites and Metal- Dielectric Films (Springer, Berlin, 2000).
S. Bosch, J. Ferré-Borrull, N. Leinfellner, A. Canillas, Surf. Sci. 453, 9 (2000).
J.C. Maxwell-Garnett, Philos. Trans. R. Soc. London, Ser. A 203, 385 (1904).
C.G. Granqvist, O. Hunderi, Phys. Rev. B 18, 2897 (1978).
W.T. Doyle, Phys. Rev. B 39, 9852 (1989).
R. Ruppin, Opt. Commun. 182, 273 (2000).
C. Bohren, J. Atmos. Sci. 43, 468 (1986).
C.F. Bohren, D.R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley-Interscience, New York, 1983).
R. Luo, Appl. Opt. 36, 8153 (1997).
C.G. Parazzoli, R.B. Greegor, K. Li, B.E.C. Koltenbah, M. Tanielian, Phys. Rev. Lett. 90, 107401 (2003).
A.A. Houck, J.B. Brock, I.L. Chuang, Phys. Rev. Lett. 90, 137401 (2003).
S. O’Brien, J.B. Pendry, J. Phys.: Condens. Matter 14, 4035 (2002).
K.C. Huang, M.L. Povinelli, J.D. Joannopoulos, Appl. Phys. Lett. 85, 543 (2004).
M.S. Wheeler, J.S. Aitchison, M. Mojahedi, Phys. Rev. B 72, 193103 (2005).
V. Yannopapas, Phys. Rev. B 75, 035112 (2007).
V. Yannopapas, Appl. Phys. A 87, 259 (2007).
V. Yannopapas, Sol. State Commun. 204, 51 (2015).
V. Yannopapas, Phys. Status Solid 1, 208 (2007).
V. Yannopapas, J. Phys.: Condens. Matter 20, 255201 (2008).
H. Ou, Y.Ou, A. Argyraki, S. Schimmel, M. Kaiser, P. Wellmann, M.K. Linnarsson, V. Jokubavicius, J. Sun, R. Liljedahl, M. Syväjärvi, Eur. Phys. J. B 87, 58 (2014).
H. Ibach, H. Luth, Solid-State Physics (Springer, Berlin, 2003).
H. Sadeghi, A. Zolanvar, A. Ranjgar, R. Norouzi, Plasmonics 9, 327 (2014).
H. Sadeghi, A. Zolanvar, A. Ranjgar, R. Norouzi, J. Electron. Mater. 43, 4294 (2014).
G.V. Naik, J. Kim, A. Boltasseva, Opt. Mater. Express 1, 1090 (2011).
N. Stefanou, V. Yannopapas, A. Modinos, Comput. Phys. Commun. 132, 189 (2000).
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Sadeghi, H., Ranjgar, A. & Zolanvar, A. Metamaterial composed of coated nano-spheres at infrared frequencies. Eur. Phys. J. Plus 130, 50 (2015). https://doi.org/10.1140/epjp/i2015-15050-4
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DOI: https://doi.org/10.1140/epjp/i2015-15050-4