Abstract

We show that a second-order magnetic resonance present in the fishnet metamaterial can be enhanced so as to achieve simultaneous negative permittivity and permeability in the visible range. The double-negative behavior leads to reduced losses in this particular fishnet metamaterial. We also study the stacking of several functional layers, verifying the convergence of the refractive index.

© 2009 Optical Society of America

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2009

R. Ortuño, C. García-Meca, F. J. Rodríguez-Fortuño, J. Martí, and A. Martínez, Phys. Rev. B 79, 075425 (2009).
[CrossRef]

C. García-Meca, R. Ortuño, F. J. Rodríguez-Fortuño, J. Martí, and A. Martínez, Opt. Express 17, 6026 (2009).
[CrossRef] [PubMed]

2008

A. Mary, S. G. Rodrigo, F. J. García-Vidal, and L. Martín-Moreno, Phys. Rev. Lett. 101, 103902 (2008).
[CrossRef] [PubMed]

J. Valentine, S. Zhang, T. Zentgraf, E. Ulin-Avila, D. A. Genov, G. Bartal, and X. Zhang, Nature 455, 376 (2008).
[CrossRef] [PubMed]

N. Liu, L. Fu, S. Kaiser, H. Schweizer, and H. Giessen, Adv. Mater. 20, 3859 (2008).
[CrossRef]

2007

2006

2005

2004

X. Chen, T. M. Grzegorczyk, B. Wu, J. Pacheco, Jr., and J. A. Kong, Phys. Rev. E 70, 016608 (2004).
[CrossRef]

R. A. Depine and A. Lakhtakia, Microwave Opt. Technol. Lett. 41, 315 (2004).
[CrossRef]

2001

R. A. Shelby, D. R. Smith, and S. Schultz, Science 292, 77 (2001).
[CrossRef] [PubMed]

1969

E. N. Economou, Phys. Rev. 182, 539 (1969).
[CrossRef]

Bartal, G.

J. Valentine, S. Zhang, T. Zentgraf, E. Ulin-Avila, D. A. Genov, G. Bartal, and X. Zhang, Nature 455, 376 (2008).
[CrossRef] [PubMed]

Brolo, A.

Cai, W.

Chen, X.

X. Chen, T. M. Grzegorczyk, B. Wu, J. Pacheco, Jr., and J. A. Kong, Phys. Rev. E 70, 016608 (2004).
[CrossRef]

Chettiar, U. K.

Depine, R. A.

R. A. Depine and A. Lakhtakia, Microwave Opt. Technol. Lett. 41, 315 (2004).
[CrossRef]

Dolling, G.

Drachev, V. P.

Economou, E. N.

E. N. Economou, Phys. Rev. 182, 539 (1969).
[CrossRef]

Enkrich, C.

Fu, L.

N. Liu, L. Fu, S. Kaiser, H. Schweizer, and H. Giessen, Adv. Mater. 20, 3859 (2008).
[CrossRef]

García-Meca, C.

R. Ortuño, C. García-Meca, F. J. Rodríguez-Fortuño, J. Martí, and A. Martínez, Phys. Rev. B 79, 075425 (2009).
[CrossRef]

C. García-Meca, R. Ortuño, F. J. Rodríguez-Fortuño, J. Martí, and A. Martínez, Opt. Express 17, 6026 (2009).
[CrossRef] [PubMed]

García-Vidal, F. J.

A. Mary, S. G. Rodrigo, F. J. García-Vidal, and L. Martín-Moreno, Phys. Rev. Lett. 101, 103902 (2008).
[CrossRef] [PubMed]

Genov, D. A.

J. Valentine, S. Zhang, T. Zentgraf, E. Ulin-Avila, D. A. Genov, G. Bartal, and X. Zhang, Nature 455, 376 (2008).
[CrossRef] [PubMed]

Giessen, H.

N. Liu, L. Fu, S. Kaiser, H. Schweizer, and H. Giessen, Adv. Mater. 20, 3859 (2008).
[CrossRef]

Gordon, R.

Grzegorczyk, T. M.

X. Chen, T. M. Grzegorczyk, B. Wu, J. Pacheco, Jr., and J. A. Kong, Phys. Rev. E 70, 016608 (2004).
[CrossRef]

Kaiser, S.

N. Liu, L. Fu, S. Kaiser, H. Schweizer, and H. Giessen, Adv. Mater. 20, 3859 (2008).
[CrossRef]

Kildishev, A. V.

Kong, J. A.

X. Chen, T. M. Grzegorczyk, B. Wu, J. Pacheco, Jr., and J. A. Kong, Phys. Rev. E 70, 016608 (2004).
[CrossRef]

Lakhtakia, A.

R. A. Depine and A. Lakhtakia, Microwave Opt. Technol. Lett. 41, 315 (2004).
[CrossRef]

Linden, S.

Liu, N.

N. Liu, L. Fu, S. Kaiser, H. Schweizer, and H. Giessen, Adv. Mater. 20, 3859 (2008).
[CrossRef]

Martí, J.

R. Ortuño, C. García-Meca, F. J. Rodríguez-Fortuño, J. Martí, and A. Martínez, Phys. Rev. B 79, 075425 (2009).
[CrossRef]

C. García-Meca, R. Ortuño, F. J. Rodríguez-Fortuño, J. Martí, and A. Martínez, Opt. Express 17, 6026 (2009).
[CrossRef] [PubMed]

Martínez, A.

C. García-Meca, R. Ortuño, F. J. Rodríguez-Fortuño, J. Martí, and A. Martínez, Opt. Express 17, 6026 (2009).
[CrossRef] [PubMed]

R. Ortuño, C. García-Meca, F. J. Rodríguez-Fortuño, J. Martí, and A. Martínez, Phys. Rev. B 79, 075425 (2009).
[CrossRef]

Martín-Moreno, L.

A. Mary, S. G. Rodrigo, F. J. García-Vidal, and L. Martín-Moreno, Phys. Rev. Lett. 101, 103902 (2008).
[CrossRef] [PubMed]

Mary, A.

A. Mary, S. G. Rodrigo, F. J. García-Vidal, and L. Martín-Moreno, Phys. Rev. Lett. 101, 103902 (2008).
[CrossRef] [PubMed]

Ortuño, R.

C. García-Meca, R. Ortuño, F. J. Rodríguez-Fortuño, J. Martí, and A. Martínez, Opt. Express 17, 6026 (2009).
[CrossRef] [PubMed]

R. Ortuño, C. García-Meca, F. J. Rodríguez-Fortuño, J. Martí, and A. Martínez, Phys. Rev. B 79, 075425 (2009).
[CrossRef]

Pacheco, J.

X. Chen, T. M. Grzegorczyk, B. Wu, J. Pacheco, Jr., and J. A. Kong, Phys. Rev. E 70, 016608 (2004).
[CrossRef]

Rodrigo, S. G.

A. Mary, S. G. Rodrigo, F. J. García-Vidal, and L. Martín-Moreno, Phys. Rev. Lett. 101, 103902 (2008).
[CrossRef] [PubMed]

Rodríguez-Fortuño, F. J.

C. García-Meca, R. Ortuño, F. J. Rodríguez-Fortuño, J. Martí, and A. Martínez, Opt. Express 17, 6026 (2009).
[CrossRef] [PubMed]

R. Ortuño, C. García-Meca, F. J. Rodríguez-Fortuño, J. Martí, and A. Martínez, Phys. Rev. B 79, 075425 (2009).
[CrossRef]

Schultz, S.

R. A. Shelby, D. R. Smith, and S. Schultz, Science 292, 77 (2001).
[CrossRef] [PubMed]

Schweizer, H.

N. Liu, L. Fu, S. Kaiser, H. Schweizer, and H. Giessen, Adv. Mater. 20, 3859 (2008).
[CrossRef]

Shalaev, V. M.

Shelby, R. A.

R. A. Shelby, D. R. Smith, and S. Schultz, Science 292, 77 (2001).
[CrossRef] [PubMed]

Smith, D. R.

R. A. Shelby, D. R. Smith, and S. Schultz, Science 292, 77 (2001).
[CrossRef] [PubMed]

Soukoulis, C. M.

Ulin-Avila, E.

J. Valentine, S. Zhang, T. Zentgraf, E. Ulin-Avila, D. A. Genov, G. Bartal, and X. Zhang, Nature 455, 376 (2008).
[CrossRef] [PubMed]

Valentine, J.

J. Valentine, S. Zhang, T. Zentgraf, E. Ulin-Avila, D. A. Genov, G. Bartal, and X. Zhang, Nature 455, 376 (2008).
[CrossRef] [PubMed]

Wegener, M.

Wu, B.

X. Chen, T. M. Grzegorczyk, B. Wu, J. Pacheco, Jr., and J. A. Kong, Phys. Rev. E 70, 016608 (2004).
[CrossRef]

Xiao, S.

Yuan, H.

Zentgraf, T.

J. Valentine, S. Zhang, T. Zentgraf, E. Ulin-Avila, D. A. Genov, G. Bartal, and X. Zhang, Nature 455, 376 (2008).
[CrossRef] [PubMed]

Zhang, S.

J. Valentine, S. Zhang, T. Zentgraf, E. Ulin-Avila, D. A. Genov, G. Bartal, and X. Zhang, Nature 455, 376 (2008).
[CrossRef] [PubMed]

Zhang, X.

J. Valentine, S. Zhang, T. Zentgraf, E. Ulin-Avila, D. A. Genov, G. Bartal, and X. Zhang, Nature 455, 376 (2008).
[CrossRef] [PubMed]

Adv. Mater.

N. Liu, L. Fu, S. Kaiser, H. Schweizer, and H. Giessen, Adv. Mater. 20, 3859 (2008).
[CrossRef]

Microwave Opt. Technol. Lett.

R. A. Depine and A. Lakhtakia, Microwave Opt. Technol. Lett. 41, 315 (2004).
[CrossRef]

Nature

J. Valentine, S. Zhang, T. Zentgraf, E. Ulin-Avila, D. A. Genov, G. Bartal, and X. Zhang, Nature 455, 376 (2008).
[CrossRef] [PubMed]

Opt. Express

Opt. Lett.

Phys. Rev.

E. N. Economou, Phys. Rev. 182, 539 (1969).
[CrossRef]

Phys. Rev. B

R. Ortuño, C. García-Meca, F. J. Rodríguez-Fortuño, J. Martí, and A. Martínez, Phys. Rev. B 79, 075425 (2009).
[CrossRef]

Phys. Rev. E

X. Chen, T. M. Grzegorczyk, B. Wu, J. Pacheco, Jr., and J. A. Kong, Phys. Rev. E 70, 016608 (2004).
[CrossRef]

Phys. Rev. Lett.

A. Mary, S. G. Rodrigo, F. J. García-Vidal, and L. Martín-Moreno, Phys. Rev. Lett. 101, 103902 (2008).
[CrossRef] [PubMed]

Science

R. A. Shelby, D. R. Smith, and S. Schultz, Science 292, 77 (2001).
[CrossRef] [PubMed]

C. M. Soukoulis, S. Linden, and M. Wegener, Science 315, 47 (2007).
[CrossRef] [PubMed]

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Figures (5)

Fig. 1
Fig. 1

Multilayer FMM. The metal and dielectric thicknesses are t and s. The periodicities in x and y are a x and a y .

Fig. 2
Fig. 2

Evolution of μ as a function of h x for an FMM with N = 1 , s = 30 nm , t = 45 nm , a x = a y = 600 nm , a z = 120 nm , h y = 500 nm , and, exceptionally, ε d = 1.9 as in [4]. Legend, h x in nm. Insets, E in the gap.

Fig. 3
Fig. 3

SPP dispersion relation of an MIM structure with t = 36 nm and s = 32 nm .

Fig. 4
Fig. 4

A, FOM, ε , μ , and n for an FMM with N = 1 , s = 32 nm , t = 36 nm , a x = a y = 360 nm , a z = 104 nm , and h = 225 nm . Inset, corresponding T and R.

Fig. 5
Fig. 5

Evolution of n as a function of N for an FMM with s = 10 nm , t = 25 nm , a x = a y = 400 nm , and h = 275 nm . FOM × 0.5 for the N = 9 case (dashed curve). Inset, T (right axis), ε , and μ (left axis).

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