Abstract

We analyze the transmission properties of double negative metamaterials (DNM). Numerical simulations, based on the transfer matrix algorithm, show that some portion of the electromagnetic wave changes its polarization inside the DNM structure. As the transmission properties depend strongly on the polarization, this complicates the interpretation of experimental and numerical data, both inside and outside of the pass band. From the transmission data, the effective permittivity, permeability and refractive index are calculated. In the pass band, we found that the real part of permeability and both the real and the imaginary part of the permittivity are negative. Transmission data for some new structures are also shown. Of particular interest is the structure with cut wires, which possesses two double negative pass bands.

© 2003 Optical Society of America

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    [CrossRef]
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    [CrossRef]
  5. R.A. Shelby, D.R. Smith, S.C. Nemat-Nasser, and S. Schultz, �??Microwave transmission through a two-dimensional, isotropic, left-handed meta material,�?? Appl. Phys. Lett. 78, 489 (2001)
    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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  12. R.A. Shelby, D.R. Smith, and S. Schultz, �??Experimental veri.cation of a negative index of refraction,�?? Science 292, 77 (2001)
    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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Appl. Phys. Lett. (3)

R.A. Shelby, D.R. Smith, S.C. Nemat-Nasser, and S. Schultz, �??Microwave transmission through a two-dimensional, isotropic, left-handed meta material,�?? Appl. Phys. Lett. 78, 489 (2001)
[CrossRef]

E.V. Ponizovskaya, M. Nieto-Vesperinas, and N. Garcia, �??Losses for microwave transmission metamaterials for producing left-handed materials: The strip wires,�?? Appl. Phys. Lett. 81, 4470 (2002)
[CrossRef]

M. Bayindir, K. Aydin, E. Ozbay, P. Marko¡s, and C.M. Soukoulis, �??Transmission Properties of Composite Metamaterials in Free Space,�?? Appl. Phys. Lett. 81, 120 (2002)
[CrossRef]

IEEE Trans. Microwave Theory Technol. (1)

J.B. Pendry, A.J. Holden, D.J. Robbins and W.J. Stewart, (1999) �??Magnetism from conductors and enhanced nonlinear phenomena,�?? IEEE Trans. on Microwave Theory and Technol. 47, 2075 (1999)

J. Mod. Opt. (1)

J.B. Pendry and A. MacKinnon, Phys. Rev. Lett. 69 2772 (1992). J.B. Pendry, �??Photonic band gap structures,�?? J. Mod. Opt. 41, 209 (1994). J.B. Pendry and P.M. Bell 1996, �??Transfer matrix techniques for electromagnetic waves,�?? in Photonic Band Gap Materials vol. 315 of NATO ASI Ser. E: Applied Sciences (1996), ed. by C.M. Soukoulis (Plenum, NY) p. 203

J. Phys.: Condens. Matter (1)

S. O�??Brien, and J.B. Pendry, �??Photonic band gap e.ects and magnetic activity of dielectric composites,�?? J. Phys.: Condens. Matter 14 4035 (2002)
[CrossRef]

Phys. Lett. A (1)

R. Ruppin, �??Electromagnetic energy density in a dispersive and absorptive material,�?? Phys. Lett. A 299 309 (2002)
[CrossRef]

Phys. Rev. B (3)

D.R. Smith, S. Shultz, P. Marko¡s, and C.M. Soukoulis, �??Determination of Effective Permittivity and Permeability of Metamaterials from Re.ection and Transmission Coefficient,�?? Phys. Rev. B 65 195104 (2002)
[CrossRef]

M.M. Sigalas, C.Y. Chan, K.M. Ho, and .M. Soukoulis, �??Metallic photonic band-gap materials,�?? Phys. Rev. B 52, 11744 (1999)
[CrossRef]

P. Marko¡s and C.M. Soukoulis, �??Transmission Studies of the Left-handed Materials,�?? Phys. Rev. B 65 033401 (2002)
[CrossRef]

Phys. Rev. E (2)

P. Marko¡s and C.M. Soukoulis, �??Numerical Studies of Left-handed materials and Arrays of Split Ring Resonators,�?? Phys. Rev. E 65, 036622 (2002)
[CrossRef]

P. Marko¡s, I. Rousochatzakis, and C.M. Soukoulis, �??Transmission Losses in Left-handed Materials,�?? Phys. Rev. E 66, 045601 (2002)
[CrossRef]

Phys. Rev. Lett. (5)

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

D.R. Smith and N. Kroll, �??Negative Refractive Index in Left-Handed Materials,�?? Phys. Rev. Lett. 85, 2933 (2000)
[CrossRef]

D. R. Smith and D. Schurig, �??Electromagnetic Wave propagation in Media with Inde.nite Permittivity and Permeability Tensors,�?? Phys. Rev. Lett. 90 077405 (2003)
[CrossRef]

J.B. Pendry, A.J. Holden, W.J. Stewart and I. Youngs, �??Extremely Low Frequency Plasmons in Metallic Mesostructures,�?? Phys. Rev. Lett. 76, 4773 (1996)
[CrossRef]

C. G. Parazzoli, R. B. Gregor, K. Li, B. E. C. Koltenbah, and M. Tanielian, �??Experimental Veri.cation and Simulation of Negative Index of Refraction Using Snell�??s Law,�?? Phys. Rev. Lett. 90 107401 (2003)
[CrossRef]

Prog. Electromagnetics Res. PIER (1)

C. D. Moss, T. M. Grzegorczyk, Y. Zhang, and J. A. Kong, �??Numerical Studies of Left-handed Metamaterials,�?? Prog. Electromagnetics Res. PIER 35, 315 (2002)

Science (1)

R.A. Shelby, D.R. Smith, and S. Schultz, �??Experimental veri.cation of a negative index of refraction,�?? Science 292, 77 (2001)
[CrossRef]

Sov. Phys. Usp. (1)

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

Other (6)

Photonic Band GapMaterials, ed. by C.M. Soukoulis (Kluwer, Dordrecht, 1996); Photonic Crystals and Light Localization in the 21st Century, ed. by C.M. Soukoulis (Kluwer, Dordrecht, 2001)

P. Marko¡s and C. M. Soukoulis, �??Absorption losses in periodic arrays of thin metallic wires,�?? e-print cond-mat/0212343 to appear in Opt. Lett. (2003)

L.D. Landau, E.M. Lifshitz, and L.P. Pitaevski, �??Electrodynamics of Continuous Media,�?? Pergamon Press 1984

E. Ozbay, K. Aydin, E. Cubukcu, and M. Bayindir, �??Transmission and reflection properties of composite double negative metamaterials in free-space,�?? to be published (2003)

P. Marko¡s, D.R. Smith, and C.M. Soukoulis, unpublished.

J.D. Jackson, �??Classical Electrodynamic,�?? (3rd edition), J.Willey and Sons, 1999, p. 312

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