Abstract

Optical metamaterials with a negative value of the refractive index can be fabricated by means of patterning techniques developed for microelectronics. One of those is a layered metamaterial, where the electric and magnetic response comes from coupled parallel subwavelength size wires. We simulate propagation of EM waves through such a metamaterial. Its properties depend on the density of pairs of nanowires oriented in parallel in one layer. There is a tradeoff between high transmittance and large negative refractive index value n. The smaller is the density of nanowires; 1° – the narrower the range of frequencies, where n is negative; 2° – the less negative is n; 3° – the higher is the transmission.

© 2006 Optical Society of America

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  1. V. G. Veselago, "The electrodynamics of substances with simultaneously negative values of permittivity and permeability," Sov. Phys. Usp. 10, 509-514 (1968).
    [CrossRef]
  2. J. B. Pendry, A. J. Holden, D. J. Robbins, and W. J. Stewart, "Low frequency plasmons in thin-wire structures," J. Phys. Condens. Matter 10, 4785-4809 (1999).
    [CrossRef]
  3. D. R. Smith, W. J. Padilla, D. C. Vier, S. C. Nemat-Nasser and S. Schultz, "Composite medium with simultaneously negative permeability and permittivity," Phys. Rev. Lett. 84, 4184-4187 (2000).
    [CrossRef] [PubMed]
  4. V. M. Shalaev, W. Cai, U. K. Chettiar, H. K. Yuan, A. K. Sarychev, V. P. Drachev and A. V. Kildishev, "Negative index of refraction in optical metameterials," Opt. Lett. 30, 3356-3358 (2005).
    [CrossRef]
  5. G. Dolling, C. Enkrich, M. Wegener, J. F. Zhou, and C. M. Soukoulis, "Cut-wire pairs and plate pairs as magnetic atoms for optical metamaterials," Opt. Lett. 30,3198-3200 (2005).
    [CrossRef] [PubMed]
  6. Y. Chen, J. Tao, X. Zhao, Z. Cui, A. S. Schwanecke, and N. I. Zheludev, "Nanoimprint and soft lithography for planar photonic meta-materials," in Metamaterials, T. Szoplik, E. Özbay, C. M. Soukoulis, N. I. Zheludev; Eds., Proc. SPIE 5955, 96-103 (2005).
    [CrossRef]
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    [CrossRef]
  8. A. K. Sarychev, R. C. McPhedran and V. M. Shalaev, "Electrodynamics of metal-dielectric composites and electromagnetic crystals," Phys. Rev. B 62, 8531-8539 (2000).
    [CrossRef]
  9. V. A. Podolskiy, A. K. Sarychev, and V. M. Shalaev, "Plasmon modes in metal nanowires and lefthanded materials," J. Nonlinear Opt. Phys. Materials 11, 65 (2002).
    [CrossRef]
  10. V. A. Podolskiy, A. K. Sarychev, and V. M. Shalaev, "Plasmon modes and negative refraction in metal nanowire composites," Opt. Express 11, 735-745 (2003).
    [CrossRef] [PubMed]
  11. Y. Svirko, N. Zheludev and M. Osipov, "Layered chiral metallic microstructures with inductive coupling," Appl. Phys. Lett. 78, 498-500 (2001).
    [CrossRef]
  12. T. J. Antosiewicz, W. M. Saj, J. Pniewski, T. Szoplik, "Simulation of resonant behavior and negative refraction of metal nanowire composites," in Metamaterials, T. Szoplik, E. Özbay, C. M. Soukoulis, N. I. Zheludev; Eds., Proc. SPIE 5955, 109-115 (2005).
  13. F. Garwe, U. Huebner, T. Clausnitzer, E.-B. Kley, and U. Bauerschaefer, "Elongated gold nanostructures in silica for metamaterials: Technology and optical properties," in Metamaterials, T. Szoplik, E. Özbay, C. M. Soukoulis, N. I. Zheludev; Eds., Proc. SPIE 5955, 185-192 (2005).
  14. J. Zhou, L. Zhang, G. Tuttle, T. Koschny and C. M. Soukoulis, "Negative index materials using short wire pairs," Phys. Rev. B,  73, 041101 (2006).
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    [CrossRef]
  19. R. A. Depine and A. Lakhtakia, "A new condition to identify isotropic dielectric-magnetic materials displaying negative phase velocity," Microwave Opt. Technol. Lett. 41, 315-316 (2004).
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2006 (1)

J. Zhou, L. Zhang, G. Tuttle, T. Koschny and C. M. Soukoulis, "Negative index materials using short wire pairs," Phys. Rev. B,  73, 041101 (2006).
[CrossRef]

2005 (6)

T. J. Antosiewicz, W. M. Saj, J. Pniewski, T. Szoplik, "Simulation of resonant behavior and negative refraction of metal nanowire composites," in Metamaterials, T. Szoplik, E. Özbay, C. M. Soukoulis, N. I. Zheludev; Eds., Proc. SPIE 5955, 109-115 (2005).

F. Garwe, U. Huebner, T. Clausnitzer, E.-B. Kley, and U. Bauerschaefer, "Elongated gold nanostructures in silica for metamaterials: Technology and optical properties," in Metamaterials, T. Szoplik, E. Özbay, C. M. Soukoulis, N. I. Zheludev; Eds., Proc. SPIE 5955, 185-192 (2005).

W. M. Saj, "FDTD simulations of 2D plasmon waveguide on silver nanorods in hexagonal lattice," Opt. Express 13, 4818-4827 (2005), http://www.opticsexpress.org/abstract.cfm?URI=OPEX-13-13-4818
[CrossRef] [PubMed]

G. Dolling, C. Enkrich, M. Wegener, J. F. Zhou, and C. M. Soukoulis, "Cut-wire pairs and plate pairs as magnetic atoms for optical metamaterials," Opt. Lett. 30,3198-3200 (2005).
[CrossRef] [PubMed]

V. M. Shalaev, W. Cai, U. K. Chettiar, H. K. Yuan, A. K. Sarychev, V. P. Drachev and A. V. Kildishev, "Negative index of refraction in optical metameterials," Opt. Lett. 30, 3356-3358 (2005).
[CrossRef]

Y. Chen, J. Tao, X. Zhao, Z. Cui, A. S. Schwanecke, and N. I. Zheludev, "Nanoimprint and soft lithography for planar photonic meta-materials," in Metamaterials, T. Szoplik, E. Özbay, C. M. Soukoulis, N. I. Zheludev; Eds., Proc. SPIE 5955, 96-103 (2005).
[CrossRef]

2004 (1)

R. A. Depine and A. Lakhtakia, "A new condition to identify isotropic dielectric-magnetic materials displaying negative phase velocity," Microwave Opt. Technol. Lett. 41, 315-316 (2004).
[CrossRef]

2003 (1)

2002 (1)

V. A. Podolskiy, A. K. Sarychev, and V. M. Shalaev, "Plasmon modes in metal nanowires and lefthanded materials," J. Nonlinear Opt. Phys. Materials 11, 65 (2002).
[CrossRef]

2001 (1)

Y. Svirko, N. Zheludev and M. Osipov, "Layered chiral metallic microstructures with inductive coupling," Appl. Phys. Lett. 78, 498-500 (2001).
[CrossRef]

2000 (2)

D. R. Smith, W. J. Padilla, D. C. Vier, S. C. Nemat-Nasser and S. Schultz, "Composite medium with simultaneously negative permeability and permittivity," Phys. Rev. Lett. 84, 4184-4187 (2000).
[CrossRef] [PubMed]

A. K. Sarychev, R. C. McPhedran and V. M. Shalaev, "Electrodynamics of metal-dielectric composites and electromagnetic crystals," Phys. Rev. B 62, 8531-8539 (2000).
[CrossRef]

1999 (1)

J. B. Pendry, A. J. Holden, D. J. Robbins, and W. J. Stewart, "Low frequency plasmons in thin-wire structures," J. Phys. Condens. Matter 10, 4785-4809 (1999).
[CrossRef]

1996 (1)

A. N. Lagarkov and A. K. Sarychev, "Electromagnetic properties of composites containing elongated conducting inclusions," Phys. Rev. B 53, 6318-6336 (1996).
[CrossRef]

1972 (1)

P. Johnson and R. Christy, "Optical constants of the noble metals," Phys. Rev. B 6, 4370-4379 (1972).
[CrossRef]

1968 (1)

V. G. Veselago, "The electrodynamics of substances with simultaneously negative values of permittivity and permeability," Sov. Phys. Usp. 10, 509-514 (1968).
[CrossRef]

Antosiewicz, T. J.

T. J. Antosiewicz, W. M. Saj, J. Pniewski, T. Szoplik, "Simulation of resonant behavior and negative refraction of metal nanowire composites," in Metamaterials, T. Szoplik, E. Özbay, C. M. Soukoulis, N. I. Zheludev; Eds., Proc. SPIE 5955, 109-115 (2005).

Bauerschaefer, U.

F. Garwe, U. Huebner, T. Clausnitzer, E.-B. Kley, and U. Bauerschaefer, "Elongated gold nanostructures in silica for metamaterials: Technology and optical properties," in Metamaterials, T. Szoplik, E. Özbay, C. M. Soukoulis, N. I. Zheludev; Eds., Proc. SPIE 5955, 185-192 (2005).

Cai, W.

Chen, Y.

Y. Chen, J. Tao, X. Zhao, Z. Cui, A. S. Schwanecke, and N. I. Zheludev, "Nanoimprint and soft lithography for planar photonic meta-materials," in Metamaterials, T. Szoplik, E. Özbay, C. M. Soukoulis, N. I. Zheludev; Eds., Proc. SPIE 5955, 96-103 (2005).
[CrossRef]

Chettiar, U. K.

Christy, R.

P. Johnson and R. Christy, "Optical constants of the noble metals," Phys. Rev. B 6, 4370-4379 (1972).
[CrossRef]

Clausnitzer, T.

F. Garwe, U. Huebner, T. Clausnitzer, E.-B. Kley, and U. Bauerschaefer, "Elongated gold nanostructures in silica for metamaterials: Technology and optical properties," in Metamaterials, T. Szoplik, E. Özbay, C. M. Soukoulis, N. I. Zheludev; Eds., Proc. SPIE 5955, 185-192 (2005).

Cui, Z.

Y. Chen, J. Tao, X. Zhao, Z. Cui, A. S. Schwanecke, and N. I. Zheludev, "Nanoimprint and soft lithography for planar photonic meta-materials," in Metamaterials, T. Szoplik, E. Özbay, C. M. Soukoulis, N. I. Zheludev; Eds., Proc. SPIE 5955, 96-103 (2005).
[CrossRef]

Depine, R. A.

R. A. Depine and A. Lakhtakia, "A new condition to identify isotropic dielectric-magnetic materials displaying negative phase velocity," Microwave Opt. Technol. Lett. 41, 315-316 (2004).
[CrossRef]

Dolling, G.

Drachev, V. P.

Enkrich, C.

Garwe, F.

F. Garwe, U. Huebner, T. Clausnitzer, E.-B. Kley, and U. Bauerschaefer, "Elongated gold nanostructures in silica for metamaterials: Technology and optical properties," in Metamaterials, T. Szoplik, E. Özbay, C. M. Soukoulis, N. I. Zheludev; Eds., Proc. SPIE 5955, 185-192 (2005).

Holden, A. J.

J. B. Pendry, A. J. Holden, D. J. Robbins, and W. J. Stewart, "Low frequency plasmons in thin-wire structures," J. Phys. Condens. Matter 10, 4785-4809 (1999).
[CrossRef]

Huebner, U.

F. Garwe, U. Huebner, T. Clausnitzer, E.-B. Kley, and U. Bauerschaefer, "Elongated gold nanostructures in silica for metamaterials: Technology and optical properties," in Metamaterials, T. Szoplik, E. Özbay, C. M. Soukoulis, N. I. Zheludev; Eds., Proc. SPIE 5955, 185-192 (2005).

Johnson, P.

P. Johnson and R. Christy, "Optical constants of the noble metals," Phys. Rev. B 6, 4370-4379 (1972).
[CrossRef]

Kildishev, A. V.

Kley, E.-B.

F. Garwe, U. Huebner, T. Clausnitzer, E.-B. Kley, and U. Bauerschaefer, "Elongated gold nanostructures in silica for metamaterials: Technology and optical properties," in Metamaterials, T. Szoplik, E. Özbay, C. M. Soukoulis, N. I. Zheludev; Eds., Proc. SPIE 5955, 185-192 (2005).

Koschny, T.

J. Zhou, L. Zhang, G. Tuttle, T. Koschny and C. M. Soukoulis, "Negative index materials using short wire pairs," Phys. Rev. B,  73, 041101 (2006).
[CrossRef]

Lagarkov, A. N.

A. N. Lagarkov and A. K. Sarychev, "Electromagnetic properties of composites containing elongated conducting inclusions," Phys. Rev. B 53, 6318-6336 (1996).
[CrossRef]

Lakhtakia, A.

R. A. Depine and A. Lakhtakia, "A new condition to identify isotropic dielectric-magnetic materials displaying negative phase velocity," Microwave Opt. Technol. Lett. 41, 315-316 (2004).
[CrossRef]

McPhedran, R. C.

A. K. Sarychev, R. C. McPhedran and V. M. Shalaev, "Electrodynamics of metal-dielectric composites and electromagnetic crystals," Phys. Rev. B 62, 8531-8539 (2000).
[CrossRef]

Nemat-Nasser, S. C.

D. R. Smith, W. J. Padilla, D. C. Vier, S. C. Nemat-Nasser and S. Schultz, "Composite medium with simultaneously negative permeability and permittivity," Phys. Rev. Lett. 84, 4184-4187 (2000).
[CrossRef] [PubMed]

Osipov, M.

Y. Svirko, N. Zheludev and M. Osipov, "Layered chiral metallic microstructures with inductive coupling," Appl. Phys. Lett. 78, 498-500 (2001).
[CrossRef]

Padilla, W. J.

D. R. Smith, W. J. Padilla, D. C. Vier, S. C. Nemat-Nasser and S. Schultz, "Composite medium with simultaneously negative permeability and permittivity," Phys. Rev. Lett. 84, 4184-4187 (2000).
[CrossRef] [PubMed]

Pendry, J. B.

J. B. Pendry, A. J. Holden, D. J. Robbins, and W. J. Stewart, "Low frequency plasmons in thin-wire structures," J. Phys. Condens. Matter 10, 4785-4809 (1999).
[CrossRef]

Pniewski, J.

T. J. Antosiewicz, W. M. Saj, J. Pniewski, T. Szoplik, "Simulation of resonant behavior and negative refraction of metal nanowire composites," in Metamaterials, T. Szoplik, E. Özbay, C. M. Soukoulis, N. I. Zheludev; Eds., Proc. SPIE 5955, 109-115 (2005).

Podolskiy, V. A.

V. A. Podolskiy, A. K. Sarychev, and V. M. Shalaev, "Plasmon modes and negative refraction in metal nanowire composites," Opt. Express 11, 735-745 (2003).
[CrossRef] [PubMed]

V. A. Podolskiy, A. K. Sarychev, and V. M. Shalaev, "Plasmon modes in metal nanowires and lefthanded materials," J. Nonlinear Opt. Phys. Materials 11, 65 (2002).
[CrossRef]

Robbins, D. J.

J. B. Pendry, A. J. Holden, D. J. Robbins, and W. J. Stewart, "Low frequency plasmons in thin-wire structures," J. Phys. Condens. Matter 10, 4785-4809 (1999).
[CrossRef]

Saj, W. M.

T. J. Antosiewicz, W. M. Saj, J. Pniewski, T. Szoplik, "Simulation of resonant behavior and negative refraction of metal nanowire composites," in Metamaterials, T. Szoplik, E. Özbay, C. M. Soukoulis, N. I. Zheludev; Eds., Proc. SPIE 5955, 109-115 (2005).

W. M. Saj, "FDTD simulations of 2D plasmon waveguide on silver nanorods in hexagonal lattice," Opt. Express 13, 4818-4827 (2005), http://www.opticsexpress.org/abstract.cfm?URI=OPEX-13-13-4818
[CrossRef] [PubMed]

Sarychev, A. K.

V. M. Shalaev, W. Cai, U. K. Chettiar, H. K. Yuan, A. K. Sarychev, V. P. Drachev and A. V. Kildishev, "Negative index of refraction in optical metameterials," Opt. Lett. 30, 3356-3358 (2005).
[CrossRef]

V. A. Podolskiy, A. K. Sarychev, and V. M. Shalaev, "Plasmon modes and negative refraction in metal nanowire composites," Opt. Express 11, 735-745 (2003).
[CrossRef] [PubMed]

V. A. Podolskiy, A. K. Sarychev, and V. M. Shalaev, "Plasmon modes in metal nanowires and lefthanded materials," J. Nonlinear Opt. Phys. Materials 11, 65 (2002).
[CrossRef]

A. K. Sarychev, R. C. McPhedran and V. M. Shalaev, "Electrodynamics of metal-dielectric composites and electromagnetic crystals," Phys. Rev. B 62, 8531-8539 (2000).
[CrossRef]

A. N. Lagarkov and A. K. Sarychev, "Electromagnetic properties of composites containing elongated conducting inclusions," Phys. Rev. B 53, 6318-6336 (1996).
[CrossRef]

Schultz, S.

D. R. Smith, W. J. Padilla, D. C. Vier, S. C. Nemat-Nasser and S. Schultz, "Composite medium with simultaneously negative permeability and permittivity," Phys. Rev. Lett. 84, 4184-4187 (2000).
[CrossRef] [PubMed]

Schwanecke, A. S.

Y. Chen, J. Tao, X. Zhao, Z. Cui, A. S. Schwanecke, and N. I. Zheludev, "Nanoimprint and soft lithography for planar photonic meta-materials," in Metamaterials, T. Szoplik, E. Özbay, C. M. Soukoulis, N. I. Zheludev; Eds., Proc. SPIE 5955, 96-103 (2005).
[CrossRef]

Shalaev, V. M.

V. M. Shalaev, W. Cai, U. K. Chettiar, H. K. Yuan, A. K. Sarychev, V. P. Drachev and A. V. Kildishev, "Negative index of refraction in optical metameterials," Opt. Lett. 30, 3356-3358 (2005).
[CrossRef]

V. A. Podolskiy, A. K. Sarychev, and V. M. Shalaev, "Plasmon modes and negative refraction in metal nanowire composites," Opt. Express 11, 735-745 (2003).
[CrossRef] [PubMed]

V. A. Podolskiy, A. K. Sarychev, and V. M. Shalaev, "Plasmon modes in metal nanowires and lefthanded materials," J. Nonlinear Opt. Phys. Materials 11, 65 (2002).
[CrossRef]

A. K. Sarychev, R. C. McPhedran and V. M. Shalaev, "Electrodynamics of metal-dielectric composites and electromagnetic crystals," Phys. Rev. B 62, 8531-8539 (2000).
[CrossRef]

Smith, D. R.

D. R. Smith, W. J. Padilla, D. C. Vier, S. C. Nemat-Nasser and S. Schultz, "Composite medium with simultaneously negative permeability and permittivity," Phys. Rev. Lett. 84, 4184-4187 (2000).
[CrossRef] [PubMed]

Soukoulis, C. M.

J. Zhou, L. Zhang, G. Tuttle, T. Koschny and C. M. Soukoulis, "Negative index materials using short wire pairs," Phys. Rev. B,  73, 041101 (2006).
[CrossRef]

G. Dolling, C. Enkrich, M. Wegener, J. F. Zhou, and C. M. Soukoulis, "Cut-wire pairs and plate pairs as magnetic atoms for optical metamaterials," Opt. Lett. 30,3198-3200 (2005).
[CrossRef] [PubMed]

Stewart, W. J.

J. B. Pendry, A. J. Holden, D. J. Robbins, and W. J. Stewart, "Low frequency plasmons in thin-wire structures," J. Phys. Condens. Matter 10, 4785-4809 (1999).
[CrossRef]

Svirko, Y.

Y. Svirko, N. Zheludev and M. Osipov, "Layered chiral metallic microstructures with inductive coupling," Appl. Phys. Lett. 78, 498-500 (2001).
[CrossRef]

Szoplik, T.

T. J. Antosiewicz, W. M. Saj, J. Pniewski, T. Szoplik, "Simulation of resonant behavior and negative refraction of metal nanowire composites," in Metamaterials, T. Szoplik, E. Özbay, C. M. Soukoulis, N. I. Zheludev; Eds., Proc. SPIE 5955, 109-115 (2005).

Tao, J.

Y. Chen, J. Tao, X. Zhao, Z. Cui, A. S. Schwanecke, and N. I. Zheludev, "Nanoimprint and soft lithography for planar photonic meta-materials," in Metamaterials, T. Szoplik, E. Özbay, C. M. Soukoulis, N. I. Zheludev; Eds., Proc. SPIE 5955, 96-103 (2005).
[CrossRef]

Tuttle, G.

J. Zhou, L. Zhang, G. Tuttle, T. Koschny and C. M. Soukoulis, "Negative index materials using short wire pairs," Phys. Rev. B,  73, 041101 (2006).
[CrossRef]

Veselago, V. G.

V. G. Veselago, "The electrodynamics of substances with simultaneously negative values of permittivity and permeability," Sov. Phys. Usp. 10, 509-514 (1968).
[CrossRef]

Vier, D. C.

D. R. Smith, W. J. Padilla, D. C. Vier, S. C. Nemat-Nasser and S. Schultz, "Composite medium with simultaneously negative permeability and permittivity," Phys. Rev. Lett. 84, 4184-4187 (2000).
[CrossRef] [PubMed]

Wegener, M.

Yuan, H. K.

Zhang, L.

J. Zhou, L. Zhang, G. Tuttle, T. Koschny and C. M. Soukoulis, "Negative index materials using short wire pairs," Phys. Rev. B,  73, 041101 (2006).
[CrossRef]

Zhao, X.

Y. Chen, J. Tao, X. Zhao, Z. Cui, A. S. Schwanecke, and N. I. Zheludev, "Nanoimprint and soft lithography for planar photonic meta-materials," in Metamaterials, T. Szoplik, E. Özbay, C. M. Soukoulis, N. I. Zheludev; Eds., Proc. SPIE 5955, 96-103 (2005).
[CrossRef]

Zheludev, N.

Y. Svirko, N. Zheludev and M. Osipov, "Layered chiral metallic microstructures with inductive coupling," Appl. Phys. Lett. 78, 498-500 (2001).
[CrossRef]

Zheludev, N. I.

Y. Chen, J. Tao, X. Zhao, Z. Cui, A. S. Schwanecke, and N. I. Zheludev, "Nanoimprint and soft lithography for planar photonic meta-materials," in Metamaterials, T. Szoplik, E. Özbay, C. M. Soukoulis, N. I. Zheludev; Eds., Proc. SPIE 5955, 96-103 (2005).
[CrossRef]

Zhou, J.

J. Zhou, L. Zhang, G. Tuttle, T. Koschny and C. M. Soukoulis, "Negative index materials using short wire pairs," Phys. Rev. B,  73, 041101 (2006).
[CrossRef]

Zhou, J. F.

Appl. Phys. Lett. (1)

Y. Svirko, N. Zheludev and M. Osipov, "Layered chiral metallic microstructures with inductive coupling," Appl. Phys. Lett. 78, 498-500 (2001).
[CrossRef]

J. Nonlinear Opt. Phys. Materials (1)

V. A. Podolskiy, A. K. Sarychev, and V. M. Shalaev, "Plasmon modes in metal nanowires and lefthanded materials," J. Nonlinear Opt. Phys. Materials 11, 65 (2002).
[CrossRef]

J. Phys. Condens. Matter (1)

J. B. Pendry, A. J. Holden, D. J. Robbins, and W. J. Stewart, "Low frequency plasmons in thin-wire structures," J. Phys. Condens. Matter 10, 4785-4809 (1999).
[CrossRef]

Microwave Opt. Technol. Lett. (1)

R. A. Depine and A. Lakhtakia, "A new condition to identify isotropic dielectric-magnetic materials displaying negative phase velocity," Microwave Opt. Technol. Lett. 41, 315-316 (2004).
[CrossRef]

Opt. Express (2)

Opt. Lett. (2)

Phys. Rev. B (4)

J. Zhou, L. Zhang, G. Tuttle, T. Koschny and C. M. Soukoulis, "Negative index materials using short wire pairs," Phys. Rev. B,  73, 041101 (2006).
[CrossRef]

A. N. Lagarkov and A. K. Sarychev, "Electromagnetic properties of composites containing elongated conducting inclusions," Phys. Rev. B 53, 6318-6336 (1996).
[CrossRef]

A. K. Sarychev, R. C. McPhedran and V. M. Shalaev, "Electrodynamics of metal-dielectric composites and electromagnetic crystals," Phys. Rev. B 62, 8531-8539 (2000).
[CrossRef]

P. Johnson and R. Christy, "Optical constants of the noble metals," Phys. Rev. B 6, 4370-4379 (1972).
[CrossRef]

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D. R. Smith, W. J. Padilla, D. C. Vier, S. C. Nemat-Nasser and S. Schultz, "Composite medium with simultaneously negative permeability and permittivity," Phys. Rev. Lett. 84, 4184-4187 (2000).
[CrossRef] [PubMed]

Proc. SPIE (3)

Y. Chen, J. Tao, X. Zhao, Z. Cui, A. S. Schwanecke, and N. I. Zheludev, "Nanoimprint and soft lithography for planar photonic meta-materials," in Metamaterials, T. Szoplik, E. Özbay, C. M. Soukoulis, N. I. Zheludev; Eds., Proc. SPIE 5955, 96-103 (2005).
[CrossRef]

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Figures (5)

Fig. 1.
Fig. 1.

Theoretical dispersion curves for a single layer of the metamaterial with a fill factor of p = 12%: (a) permittivity, (b) permeability, (c) refractive index.

Fig. 2.
Fig. 2.

Attenuation by a single metamaterial layer.

Fig. 3.
Fig. 3.

Intensity distribution behind wire pairs recalls Talbot effect, p = 16%, λ = 0.85μm.

Fig. 4.
Fig. 4.

Attenuation by three layers for three fill factors and four distances between the layers.

Fig. 5.
Fig. 5.

Phase shifts of plane waves passing through a single metamaterial layer.

Equations (6)

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ε ( ω ) = ε ω p 2 [ ω + i Γ ] 1
ε ( ω ) = p + ( 1 p ) ε f + 8 pbf ( Δ ) ε m G 3 i ( tan G G ) ,
μ ( ω ) = 1 + pa ε d k 2 lbg 3 ln ( ab 1 ) ( tan gl gl )
f ( Δ ) = 1 i Δ J 1 [ ( 1 + i ) Δ ] J 0 [ ( 1 + i ) Δ ] with Δ = b σ m ω μ 0 μ m 2 ,
= f ( Δ ) ε m ε d ( b l ) 2 ln ( 1 + d b )
g = k d 2 Δ 2 f ( Δ ) ln ( ab 1 ) + ε d , Ω 2 = ε d ( lk ) 2 ln ( lb 1 ) + i ε d kl ln ( 1 + d b 1 ) ,

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