Abstract

We analyze the transmission and reflection of electromagnetic waves calculated from transfer matrix simulations of periodic arrangements of thin metallic wires. The effective permittivity and the absorption of the arrangements of wires are determined. Their dependence on the wire thickness and the conductance of the metallic wires is studied. The cutoff frequency, or effective plasma frequency, is obtained and compared with analytical predictions. It is shown that the periodic arrangement of wires exhibits a frequency region in which the real part of the permittivity is negative while its imaginary part is very small. This behavior is seen for wires with thickness as small as 17 μm with a lattice constant of 3.33 mm.

© 2003 Optical Society of America

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  1. P. Markoš and C. M. Soukoulis, “Left-handed materials,” December 6, 2002, e-print cond-mat/0212136, http://arxiv.org.
  2. J. B. Pendry, A. J. Holden, W. J. Stewart, and I. Youngs, Phys. Rev. Lett. 76, 4773 (1996).
  3. M. M. Sigalas, C. T. Chan, K. M. Ho, and C. M. Soukoulis, Phys. Rev. B 52, 11744 (1995).
  4. A. K. Sarychev and V. M. Shalaev, “Comment on paper `Extremely low frequency plasmons in metallic microstructures',” March 6, 2001, e-print cond-mat/0103145, http://arxiv.org.
  5. S. I. Maslovski, S. A. Tretyakov, and P. A. Belov, Microwave Opt. Technol. Lett. 35, 47 (2002).
  6. J. Brown, Progr. Dielectrics 2, 195 (1960).
  7. W. Rotman, IRE Trans. Antennas Propag. AP 10, 82 (1962).
  8. D. R. Smith, W. J. Padilla, D. C. Vier, S. C. Nemat-Nasser, and S. Shultz, Phys. Rev. Lett. 84, 4184 (2000).
  9. R. A. Shelby, D. R. Smith, and S. Shultz, Science 292, 77 (2001).
  10. K. Li, S. J. McLean, R. B. Gregor, C. G. Parazzoli, and M. H. Tanielian, “Free-space focused-beam characterization of left handed materials,” Appl. Phys. Lett. (to be published).
  11. E. V. Ponizovskaya, M. Nieto-Vesperinas, and N. Garcia, Appl. Phys. Lett. 81, 4470 (2002).
  12. E. Ozbay, K. Aydin, E. Cubukcu, and M. Bayindir, “Transmission and reflection properties of composite double negative metamaterials in free-space,” Composite Metamaterials (to be published).
  13. P. Markoš and C. M. Soukoulis, Phys. Rev. E 65, 036622 (2002).
  14. D. Smith, S. Shultz, P. Markoš, and C. M. Soukoulis, Phys. Rev. B 65, 195104 (2002).
  15. J. D. Jackson, Classical Electrodynamics, 3rd. ed. (Wiley, New York, 1999).
  16. J. B. Pendry, A. J. Holden, W. J. Stewart, and I. Youngs, J. Phys. Condens. Matter. 10, 4785 (1998).

2002

S. I. Maslovski, S. A. Tretyakov, and P. A. Belov, Microwave Opt. Technol. Lett. 35, 47 (2002).

E. V. Ponizovskaya, M. Nieto-Vesperinas, and N. Garcia, Appl. Phys. Lett. 81, 4470 (2002).

P. Markoš and C. M. Soukoulis, Phys. Rev. E 65, 036622 (2002).

D. Smith, S. Shultz, P. Markoš, and C. M. Soukoulis, Phys. Rev. B 65, 195104 (2002).

2001

R. A. Shelby, D. R. Smith, and S. Shultz, Science 292, 77 (2001).

2000

D. R. Smith, W. J. Padilla, D. C. Vier, S. C. Nemat-Nasser, and S. Shultz, Phys. Rev. Lett. 84, 4184 (2000).

1998

J. B. Pendry, A. J. Holden, W. J. Stewart, and I. Youngs, J. Phys. Condens. Matter. 10, 4785 (1998).

1996

J. B. Pendry, A. J. Holden, W. J. Stewart, and I. Youngs, Phys. Rev. Lett. 76, 4773 (1996).

1995

M. M. Sigalas, C. T. Chan, K. M. Ho, and C. M. Soukoulis, Phys. Rev. B 52, 11744 (1995).

1962

W. Rotman, IRE Trans. Antennas Propag. AP 10, 82 (1962).

1960

J. Brown, Progr. Dielectrics 2, 195 (1960).

Aydin, K.

E. Ozbay, K. Aydin, E. Cubukcu, and M. Bayindir, “Transmission and reflection properties of composite double negative metamaterials in free-space,” Composite Metamaterials (to be published).

Bayindir, M.

E. Ozbay, K. Aydin, E. Cubukcu, and M. Bayindir, “Transmission and reflection properties of composite double negative metamaterials in free-space,” Composite Metamaterials (to be published).

Belov, P. A.

S. I. Maslovski, S. A. Tretyakov, and P. A. Belov, Microwave Opt. Technol. Lett. 35, 47 (2002).

Brown, J.

J. Brown, Progr. Dielectrics 2, 195 (1960).

Chan, C. T.

M. M. Sigalas, C. T. Chan, K. M. Ho, and C. M. Soukoulis, Phys. Rev. B 52, 11744 (1995).

Cubukcu, E.

E. Ozbay, K. Aydin, E. Cubukcu, and M. Bayindir, “Transmission and reflection properties of composite double negative metamaterials in free-space,” Composite Metamaterials (to be published).

Garcia, N.

E. V. Ponizovskaya, M. Nieto-Vesperinas, and N. Garcia, Appl. Phys. Lett. 81, 4470 (2002).

Gregor, R. B.

K. Li, S. J. McLean, R. B. Gregor, C. G. Parazzoli, and M. H. Tanielian, “Free-space focused-beam characterization of left handed materials,” Appl. Phys. Lett. (to be published).

Ho, K. M.

M. M. Sigalas, C. T. Chan, K. M. Ho, and C. M. Soukoulis, Phys. Rev. B 52, 11744 (1995).

Holden, A. J.

J. B. Pendry, A. J. Holden, W. J. Stewart, and I. Youngs, J. Phys. Condens. Matter. 10, 4785 (1998).

J. B. Pendry, A. J. Holden, W. J. Stewart, and I. Youngs, Phys. Rev. Lett. 76, 4773 (1996).

Jackson, J. D.

J. D. Jackson, Classical Electrodynamics, 3rd. ed. (Wiley, New York, 1999).

Li, K.

K. Li, S. J. McLean, R. B. Gregor, C. G. Parazzoli, and M. H. Tanielian, “Free-space focused-beam characterization of left handed materials,” Appl. Phys. Lett. (to be published).

Markoš, P.

D. Smith, S. Shultz, P. Markoš, and C. M. Soukoulis, Phys. Rev. B 65, 195104 (2002).

P. Markoš and C. M. Soukoulis, Phys. Rev. E 65, 036622 (2002).

P. Markoš and C. M. Soukoulis, “Left-handed materials,” December 6, 2002, e-print cond-mat/0212136, http://arxiv.org.

Maslovski, S. I.

S. I. Maslovski, S. A. Tretyakov, and P. A. Belov, Microwave Opt. Technol. Lett. 35, 47 (2002).

McLean, S. J.

K. Li, S. J. McLean, R. B. Gregor, C. G. Parazzoli, and M. H. Tanielian, “Free-space focused-beam characterization of left handed materials,” Appl. Phys. Lett. (to be published).

Nemat-Nasser, S. C.

D. R. Smith, W. J. Padilla, D. C. Vier, S. C. Nemat-Nasser, and S. Shultz, Phys. Rev. Lett. 84, 4184 (2000).

Nieto-Vesperinas, M.

E. V. Ponizovskaya, M. Nieto-Vesperinas, and N. Garcia, Appl. Phys. Lett. 81, 4470 (2002).

Ozbay, E.

E. Ozbay, K. Aydin, E. Cubukcu, and M. Bayindir, “Transmission and reflection properties of composite double negative metamaterials in free-space,” Composite Metamaterials (to be published).

Padilla, W. J.

D. R. Smith, W. J. Padilla, D. C. Vier, S. C. Nemat-Nasser, and S. Shultz, Phys. Rev. Lett. 84, 4184 (2000).

Parazzoli, C. G.

K. Li, S. J. McLean, R. B. Gregor, C. G. Parazzoli, and M. H. Tanielian, “Free-space focused-beam characterization of left handed materials,” Appl. Phys. Lett. (to be published).

Pendry, J. B.

J. B. Pendry, A. J. Holden, W. J. Stewart, and I. Youngs, J. Phys. Condens. Matter. 10, 4785 (1998).

J. B. Pendry, A. J. Holden, W. J. Stewart, and I. Youngs, Phys. Rev. Lett. 76, 4773 (1996).

Ponizovskaya, E. V.

E. V. Ponizovskaya, M. Nieto-Vesperinas, and N. Garcia, Appl. Phys. Lett. 81, 4470 (2002).

Rotman, W.

W. Rotman, IRE Trans. Antennas Propag. AP 10, 82 (1962).

Sarychev, A. K.

A. K. Sarychev and V. M. Shalaev, “Comment on paper `Extremely low frequency plasmons in metallic microstructures',” March 6, 2001, e-print cond-mat/0103145, http://arxiv.org.

Shalaev, V. M.

A. K. Sarychev and V. M. Shalaev, “Comment on paper `Extremely low frequency plasmons in metallic microstructures',” March 6, 2001, e-print cond-mat/0103145, http://arxiv.org.

Shelby, R. A.

R. A. Shelby, D. R. Smith, and S. Shultz, Science 292, 77 (2001).

Shultz, S.

D. Smith, S. Shultz, P. Markoš, and C. M. Soukoulis, Phys. Rev. B 65, 195104 (2002).

R. A. Shelby, D. R. Smith, and S. Shultz, Science 292, 77 (2001).

D. R. Smith, W. J. Padilla, D. C. Vier, S. C. Nemat-Nasser, and S. Shultz, Phys. Rev. Lett. 84, 4184 (2000).

Sigalas, M. M.

M. M. Sigalas, C. T. Chan, K. M. Ho, and C. M. Soukoulis, Phys. Rev. B 52, 11744 (1995).

Smith, D.

D. Smith, S. Shultz, P. Markoš, and C. M. Soukoulis, Phys. Rev. B 65, 195104 (2002).

Smith, D. R.

R. A. Shelby, D. R. Smith, and S. Shultz, Science 292, 77 (2001).

D. R. Smith, W. J. Padilla, D. C. Vier, S. C. Nemat-Nasser, and S. Shultz, Phys. Rev. Lett. 84, 4184 (2000).

Soukoulis, C. M.

P. Markoš and C. M. Soukoulis, Phys. Rev. E 65, 036622 (2002).

D. Smith, S. Shultz, P. Markoš, and C. M. Soukoulis, Phys. Rev. B 65, 195104 (2002).

M. M. Sigalas, C. T. Chan, K. M. Ho, and C. M. Soukoulis, Phys. Rev. B 52, 11744 (1995).

P. Markoš and C. M. Soukoulis, “Left-handed materials,” December 6, 2002, e-print cond-mat/0212136, http://arxiv.org.

Stewart, W. J.

J. B. Pendry, A. J. Holden, W. J. Stewart, and I. Youngs, J. Phys. Condens. Matter. 10, 4785 (1998).

J. B. Pendry, A. J. Holden, W. J. Stewart, and I. Youngs, Phys. Rev. Lett. 76, 4773 (1996).

Tanielian, M. H.

K. Li, S. J. McLean, R. B. Gregor, C. G. Parazzoli, and M. H. Tanielian, “Free-space focused-beam characterization of left handed materials,” Appl. Phys. Lett. (to be published).

Tretyakov, S. A.

S. I. Maslovski, S. A. Tretyakov, and P. A. Belov, Microwave Opt. Technol. Lett. 35, 47 (2002).

Vier, D. C.

D. R. Smith, W. J. Padilla, D. C. Vier, S. C. Nemat-Nasser, and S. Shultz, Phys. Rev. Lett. 84, 4184 (2000).

Youngs, I.

J. B. Pendry, A. J. Holden, W. J. Stewart, and I. Youngs, J. Phys. Condens. Matter. 10, 4785 (1998).

J. B. Pendry, A. J. Holden, W. J. Stewart, and I. Youngs, Phys. Rev. Lett. 76, 4773 (1996).

Appl. Phys. Lett.

K. Li, S. J. McLean, R. B. Gregor, C. G. Parazzoli, and M. H. Tanielian, “Free-space focused-beam characterization of left handed materials,” Appl. Phys. Lett. (to be published).

E. V. Ponizovskaya, M. Nieto-Vesperinas, and N. Garcia, Appl. Phys. Lett. 81, 4470 (2002).

Composite Metamaterials

E. Ozbay, K. Aydin, E. Cubukcu, and M. Bayindir, “Transmission and reflection properties of composite double negative metamaterials in free-space,” Composite Metamaterials (to be published).

IRE Trans. Antennas Propag. AP

W. Rotman, IRE Trans. Antennas Propag. AP 10, 82 (1962).

J. Phys. Condens. Matter.

J. B. Pendry, A. J. Holden, W. J. Stewart, and I. Youngs, J. Phys. Condens. Matter. 10, 4785 (1998).

Microwave Opt. Technol. Lett.

S. I. Maslovski, S. A. Tretyakov, and P. A. Belov, Microwave Opt. Technol. Lett. 35, 47 (2002).

Phys. Rev. B

M. M. Sigalas, C. T. Chan, K. M. Ho, and C. M. Soukoulis, Phys. Rev. B 52, 11744 (1995).

D. Smith, S. Shultz, P. Markoš, and C. M. Soukoulis, Phys. Rev. B 65, 195104 (2002).

Phys. Rev. E

P. Markoš and C. M. Soukoulis, Phys. Rev. E 65, 036622 (2002).

Phys. Rev. Lett.

J. B. Pendry, A. J. Holden, W. J. Stewart, and I. Youngs, Phys. Rev. Lett. 76, 4773 (1996).

D. R. Smith, W. J. Padilla, D. C. Vier, S. C. Nemat-Nasser, and S. Shultz, Phys. Rev. Lett. 84, 4184 (2000).

Progr. Dielectrics

J. Brown, Progr. Dielectrics 2, 195 (1960).

Science

R. A. Shelby, D. R. Smith, and S. Shultz, Science 292, 77 (2001).

Other

P. Markoš and C. M. Soukoulis, “Left-handed materials,” December 6, 2002, e-print cond-mat/0212136, http://arxiv.org.

A. K. Sarychev and V. M. Shalaev, “Comment on paper `Extremely low frequency plasmons in metallic microstructures',” March 6, 2001, e-print cond-mat/0103145, http://arxiv.org.

J. D. Jackson, Classical Electrodynamics, 3rd. ed. (Wiley, New York, 1999).

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