Abstract

A type of metamaterial composed of a metal waveguide with discrete rod resonators, is investigated in this work for the first time. The simulation results show that the maximum of FOM=-Re(n)/Im(n) reaches 1.12 at the 543.5 nm. For another set of dimensions of the unit cell, the maximum of FOM reaches 1.41 at the wavelength of 721 nm. Our additional large numbers of simulation results show that different negative-index bands in visible wavelengths can be obtained by tuning the geometric dimensions of the unit cell.

© 2008 Optical Society of America

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    [CrossRef]
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    [CrossRef] [PubMed]
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    [CrossRef]
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    [CrossRef]
  5. N. Fang and X. Zhang, "Imaging properties of a metamaterial superlens," Appl. Phys. Lett. 82, 161-163 (2003).
    [CrossRef]
  6. Z. W. Liu, N. Fang, T. J. Yen, and X. Zhang, "Rapid growth of evanescent wave by a silver superlens," Appl. Phys. Lett. 83, 5184-5186 (2003).
    [CrossRef]
  7. D. Schurig, J. J. Mock, B. J. Justice, S. A. Cummer, J. B. Pendry, A. F. Starr, and D. R. Smith, "Metamaterial electromagnetic cloak at microwave frequencies," Science,  314, 977-979 (2006).
    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
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    [CrossRef]
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    [CrossRef] [PubMed]
  13. G. Dolling, M. Wegener, C. M. Soukoulis, and S. Linden, "Negative-index metamaterial at 780 nm wavelength," Opt. Lett. 32, 53-55 (2007).
    [CrossRef]
  14. G. Dolling, M. Wegener, and S. Linden, "Realization of a three-functional-layer negative-index photonic metamaterial," Opt. Lett. 32, 551-553 (2007).
    [CrossRef] [PubMed]
  15. U. K. Chettiar, A. V. Kildishev, H. K. Yuan, W. Cai, S. M. Xiao, V. P. Drachev, and V. M. Shalaev, "Dual-band negative index metamaterial: double negative at 813nm and single negative at 772nm," Opt. Lett. 32, 1671-1673 (2007).
    [CrossRef] [PubMed]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
  23. D. R. Smith, D. C. Vier, T. Koschny, and C. M. Soukoulis, "Electromagnetic parameter retrieval from inhomogeneous metamaterials," Phys. Rev. E 71, 036617 (2005).
    [CrossRef]
  24. R. A. Depine, and A. Lakhtakia, "A new condition to identify isotropic dielectric-magnetic materials displaying negative phase velocity," Microwave Opt. Tech. Lett. 41, 315-316 (2004).
    [CrossRef]
  25. F. M. Wang, H. Liu, T. Li, Z. G. Dong, S. N. Zhu, and X. Zhang, "Metamaterial of rod pairs standing on gold plate and its negative refraction property in the far-infrared frequency regime," Phys. Rev. E 75, 016604 (2007).
    [CrossRef]
  26. G. Dolling, C. Enkrich, M. Wegener, C. M. Soukoulis, and S. Linden, "Low-loss negative-index metamaterial at communication wavelengths," Opt. Lett. 31, 1800-1802 (2006).
    [CrossRef] [PubMed]
  27. S. Zhang, W. Fan, K. J. Malloy, S. R. J. Brueck, N. C. Panoiu, and R. M. Osgood, "Demonstration of metal-dielectric negative-index metamaterials with improved performance at optical frequencies," J. Opt. Soc. Am. B 23, 434-438 (2006).
    [CrossRef]

2008 (1)

C. M. Krowne, "Multi-species two-level atomic media displaying electromagnetic left handedness," Phys. Lett. A 372, 2304-2310 (2008).
[CrossRef]

2007 (7)

J. Kästel, M. Fleischhauer, S. F. Yelin, and R. L. Walsworth, "Tunable negative refraction without absorption via electromagnetically induced chirality," Phys. Rev. Lett. 99, 073602 (2007).
[CrossRef] [PubMed]

Z. G. Dong, S. Y. Lei, Q. Li, M. X. Xu, H. Liu, T. Li, F. M. Wang, and S. N. Zhu, "Non-left-handed transmission and bianisotropic effect in a �?-shaped metallic metamaterial," Phys. Rev. B 75, 075117 (2007).
[CrossRef]

F. M. Wang, H. Liu, T. Li, Z. G. Dong, S. N. Zhu, and X. Zhang, "Metamaterial of rod pairs standing on gold plate and its negative refraction property in the far-infrared frequency regime," Phys. Rev. E 75, 016604 (2007).
[CrossRef]

G. Dolling, M. Wegener, C. M. Soukoulis, and S. Linden, "Negative-index metamaterial at 780 nm wavelength," Opt. Lett. 32, 53-55 (2007).
[CrossRef]

G. Dolling, M. Wegener, and S. Linden, "Realization of a three-functional-layer negative-index photonic metamaterial," Opt. Lett. 32, 551-553 (2007).
[CrossRef] [PubMed]

U. K. Chettiar, A. V. Kildishev, H. K. Yuan, W. Cai, S. M. Xiao, V. P. Drachev, and V. M. Shalaev, "Dual-band negative index metamaterial: double negative at 813nm and single negative at 772nm," Opt. Lett. 32, 1671-1673 (2007).
[CrossRef] [PubMed]

H. J. Lezec, J. A. Dionne, and H. A. Atwater, "Negative refraction at visible frequencies," Science 316, 430-432 (2007).
[CrossRef] [PubMed]

2006 (4)

G. Dolling, C. Enkrich, M. Wegener, C. M. Soukoulis, and S. Linden, "Simultaneous Negative Phase and Group Velocity of Light in a Metamaterial," Science 312, 892-894 (2006).
[CrossRef] [PubMed]

S. Zhang, W. Fan, K. J. Malloy, S. R. J. Brueck, N. C. Panoiu, and R. M. Osgood, "Demonstration of metal-dielectric negative-index metamaterials with improved performance at optical frequencies," J. Opt. Soc. Am. B 23, 434-438 (2006).
[CrossRef]

G. Dolling, C. Enkrich, M. Wegener, C. M. Soukoulis, and S. Linden, "Low-loss negative-index metamaterial at communication wavelengths," Opt. Lett. 31, 1800-1802 (2006).
[CrossRef] [PubMed]

D. Schurig, J. J. Mock, B. J. Justice, S. A. Cummer, J. B. Pendry, A. F. Starr, and D. R. Smith, "Metamaterial electromagnetic cloak at microwave frequencies," Science,  314, 977-979 (2006).
[CrossRef] [PubMed]

2005 (4)

S. Zhang, W. Fan, N. C. Panoiu, K. J. Malloy, R. M. Osgood, and S. R. J. Brueck, "Demonstration of near-infrared negative-index metamaterials," Phys. Rev. Lett. 95, 137404 (2005).
[CrossRef] [PubMed]

S. G. Mao, S. L. Chen, and C. W. Huang, "Effective electromagnetic parameters of novel distributed left-handed microstrip lines," IEEE Trans. Microwave Theory Tech. 53, 1515-1521 (2005).
[CrossRef]

D. R. Smith, D. C. Vier, T. Koschny, and C. M. Soukoulis, "Electromagnetic parameter retrieval from inhomogeneous metamaterials," Phys. Rev. E 71, 036617 (2005).
[CrossRef]

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 metamaterials," Opt. Lett. 30, 3356-3358 (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. Tech. Lett. 41, 315-316 (2004).
[CrossRef]

2003 (2)

N. Fang and X. Zhang, "Imaging properties of a metamaterial superlens," Appl. Phys. Lett. 82, 161-163 (2003).
[CrossRef]

Z. W. Liu, N. Fang, T. J. Yen, and X. Zhang, "Rapid growth of evanescent wave by a silver superlens," Appl. Phys. Lett. 83, 5184-5186 (2003).
[CrossRef]

2002 (2)

A. Grbic and G. V. Eleftheriades, "Experimental verification of backward-wave radiation from a negative refractive index metamaterial," J. Appl. Phys. 92, 5930-5935 (2002).
[CrossRef]

D. R. Smith, S. Schultz, P. Marko, and C. M. Soukoulis, "Determination of effective permittivity and permeability of metamaterials from reflection and transmission coefficients," Phys. Rev. B 65, 195104 (2002).
[CrossRef]

2001 (2)

R. A. Shelby, D. R. Smith, and S. Schultz, "Experimental verification of a negative index of refraction," Science 292, 77-79 (2001).
[CrossRef] [PubMed]

R. W. Ziolkowski and E. Heyman, "Wave propagation in media having negative permittivity and permeability," Phys. Rev. E 64, 056625 (2001).
[CrossRef]

2000 (2)

J. B. Pendry, "Negative refraction makes a perfect lens," Phys. Rev. Lett. 85, 3966-3969 (2000).
[CrossRef] [PubMed]

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]

1968 (1)

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

Atwater, H. A.

H. J. Lezec, J. A. Dionne, and H. A. Atwater, "Negative refraction at visible frequencies," Science 316, 430-432 (2007).
[CrossRef] [PubMed]

Brueck, S. R. J.

S. Zhang, W. Fan, K. J. Malloy, S. R. J. Brueck, N. C. Panoiu, and R. M. Osgood, "Demonstration of metal-dielectric negative-index metamaterials with improved performance at optical frequencies," J. Opt. Soc. Am. B 23, 434-438 (2006).
[CrossRef]

S. Zhang, W. Fan, N. C. Panoiu, K. J. Malloy, R. M. Osgood, and S. R. J. Brueck, "Demonstration of near-infrared negative-index metamaterials," Phys. Rev. Lett. 95, 137404 (2005).
[CrossRef] [PubMed]

Cai, W.

Chen, S. L.

S. G. Mao, S. L. Chen, and C. W. Huang, "Effective electromagnetic parameters of novel distributed left-handed microstrip lines," IEEE Trans. Microwave Theory Tech. 53, 1515-1521 (2005).
[CrossRef]

Chettiar, U. K.

Cummer, S. A.

D. Schurig, J. J. Mock, B. J. Justice, S. A. Cummer, J. B. Pendry, A. F. Starr, and D. R. Smith, "Metamaterial electromagnetic cloak at microwave frequencies," Science,  314, 977-979 (2006).
[CrossRef] [PubMed]

Depine, R. A.

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

Dionne, J. A.

H. J. Lezec, J. A. Dionne, and H. A. Atwater, "Negative refraction at visible frequencies," Science 316, 430-432 (2007).
[CrossRef] [PubMed]

Dolling, G.

Dong, Z. G.

Z. G. Dong, S. Y. Lei, Q. Li, M. X. Xu, H. Liu, T. Li, F. M. Wang, and S. N. Zhu, "Non-left-handed transmission and bianisotropic effect in a �?-shaped metallic metamaterial," Phys. Rev. B 75, 075117 (2007).
[CrossRef]

F. M. Wang, H. Liu, T. Li, Z. G. Dong, S. N. Zhu, and X. Zhang, "Metamaterial of rod pairs standing on gold plate and its negative refraction property in the far-infrared frequency regime," Phys. Rev. E 75, 016604 (2007).
[CrossRef]

Drachev, V. P.

Eleftheriades, G. V.

A. Grbic and G. V. Eleftheriades, "Experimental verification of backward-wave radiation from a negative refractive index metamaterial," J. Appl. Phys. 92, 5930-5935 (2002).
[CrossRef]

Enkrich, C.

G. Dolling, C. Enkrich, M. Wegener, C. M. Soukoulis, and S. Linden, "Low-loss negative-index metamaterial at communication wavelengths," Opt. Lett. 31, 1800-1802 (2006).
[CrossRef] [PubMed]

G. Dolling, C. Enkrich, M. Wegener, C. M. Soukoulis, and S. Linden, "Simultaneous Negative Phase and Group Velocity of Light in a Metamaterial," Science 312, 892-894 (2006).
[CrossRef] [PubMed]

Fan, W.

S. Zhang, W. Fan, K. J. Malloy, S. R. J. Brueck, N. C. Panoiu, and R. M. Osgood, "Demonstration of metal-dielectric negative-index metamaterials with improved performance at optical frequencies," J. Opt. Soc. Am. B 23, 434-438 (2006).
[CrossRef]

S. Zhang, W. Fan, N. C. Panoiu, K. J. Malloy, R. M. Osgood, and S. R. J. Brueck, "Demonstration of near-infrared negative-index metamaterials," Phys. Rev. Lett. 95, 137404 (2005).
[CrossRef] [PubMed]

Fang, N.

Z. W. Liu, N. Fang, T. J. Yen, and X. Zhang, "Rapid growth of evanescent wave by a silver superlens," Appl. Phys. Lett. 83, 5184-5186 (2003).
[CrossRef]

N. Fang and X. Zhang, "Imaging properties of a metamaterial superlens," Appl. Phys. Lett. 82, 161-163 (2003).
[CrossRef]

Fleischhauer, M.

J. Kästel, M. Fleischhauer, S. F. Yelin, and R. L. Walsworth, "Tunable negative refraction without absorption via electromagnetically induced chirality," Phys. Rev. Lett. 99, 073602 (2007).
[CrossRef] [PubMed]

Grbic, A.

A. Grbic and G. V. Eleftheriades, "Experimental verification of backward-wave radiation from a negative refractive index metamaterial," J. Appl. Phys. 92, 5930-5935 (2002).
[CrossRef]

Heyman, E.

R. W. Ziolkowski and E. Heyman, "Wave propagation in media having negative permittivity and permeability," Phys. Rev. E 64, 056625 (2001).
[CrossRef]

Huang, C. W.

S. G. Mao, S. L. Chen, and C. W. Huang, "Effective electromagnetic parameters of novel distributed left-handed microstrip lines," IEEE Trans. Microwave Theory Tech. 53, 1515-1521 (2005).
[CrossRef]

Justice, B. J.

D. Schurig, J. J. Mock, B. J. Justice, S. A. Cummer, J. B. Pendry, A. F. Starr, and D. R. Smith, "Metamaterial electromagnetic cloak at microwave frequencies," Science,  314, 977-979 (2006).
[CrossRef] [PubMed]

Kästel, J.

J. Kästel, M. Fleischhauer, S. F. Yelin, and R. L. Walsworth, "Tunable negative refraction without absorption via electromagnetically induced chirality," Phys. Rev. Lett. 99, 073602 (2007).
[CrossRef] [PubMed]

Kildishev, A. V.

Koschny, T.

D. R. Smith, D. C. Vier, T. Koschny, and C. M. Soukoulis, "Electromagnetic parameter retrieval from inhomogeneous metamaterials," Phys. Rev. E 71, 036617 (2005).
[CrossRef]

Krowne, C. M.

C. M. Krowne, "Multi-species two-level atomic media displaying electromagnetic left handedness," Phys. Lett. A 372, 2304-2310 (2008).
[CrossRef]

Lakhtakia, A.

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

Lei, S. Y.

Z. G. Dong, S. Y. Lei, Q. Li, M. X. Xu, H. Liu, T. Li, F. M. Wang, and S. N. Zhu, "Non-left-handed transmission and bianisotropic effect in a �?-shaped metallic metamaterial," Phys. Rev. B 75, 075117 (2007).
[CrossRef]

Lezec, H. J.

H. J. Lezec, J. A. Dionne, and H. A. Atwater, "Negative refraction at visible frequencies," Science 316, 430-432 (2007).
[CrossRef] [PubMed]

Li, Q.

Z. G. Dong, S. Y. Lei, Q. Li, M. X. Xu, H. Liu, T. Li, F. M. Wang, and S. N. Zhu, "Non-left-handed transmission and bianisotropic effect in a �?-shaped metallic metamaterial," Phys. Rev. B 75, 075117 (2007).
[CrossRef]

Li, T.

Z. G. Dong, S. Y. Lei, Q. Li, M. X. Xu, H. Liu, T. Li, F. M. Wang, and S. N. Zhu, "Non-left-handed transmission and bianisotropic effect in a �?-shaped metallic metamaterial," Phys. Rev. B 75, 075117 (2007).
[CrossRef]

F. M. Wang, H. Liu, T. Li, Z. G. Dong, S. N. Zhu, and X. Zhang, "Metamaterial of rod pairs standing on gold plate and its negative refraction property in the far-infrared frequency regime," Phys. Rev. E 75, 016604 (2007).
[CrossRef]

Linden, S.

Liu, H.

Z. G. Dong, S. Y. Lei, Q. Li, M. X. Xu, H. Liu, T. Li, F. M. Wang, and S. N. Zhu, "Non-left-handed transmission and bianisotropic effect in a �?-shaped metallic metamaterial," Phys. Rev. B 75, 075117 (2007).
[CrossRef]

F. M. Wang, H. Liu, T. Li, Z. G. Dong, S. N. Zhu, and X. Zhang, "Metamaterial of rod pairs standing on gold plate and its negative refraction property in the far-infrared frequency regime," Phys. Rev. E 75, 016604 (2007).
[CrossRef]

Liu, Z. W.

Z. W. Liu, N. Fang, T. J. Yen, and X. Zhang, "Rapid growth of evanescent wave by a silver superlens," Appl. Phys. Lett. 83, 5184-5186 (2003).
[CrossRef]

Malloy, K. J.

S. Zhang, W. Fan, K. J. Malloy, S. R. J. Brueck, N. C. Panoiu, and R. M. Osgood, "Demonstration of metal-dielectric negative-index metamaterials with improved performance at optical frequencies," J. Opt. Soc. Am. B 23, 434-438 (2006).
[CrossRef]

S. Zhang, W. Fan, N. C. Panoiu, K. J. Malloy, R. M. Osgood, and S. R. J. Brueck, "Demonstration of near-infrared negative-index metamaterials," Phys. Rev. Lett. 95, 137404 (2005).
[CrossRef] [PubMed]

Mao, S. G.

S. G. Mao, S. L. Chen, and C. W. Huang, "Effective electromagnetic parameters of novel distributed left-handed microstrip lines," IEEE Trans. Microwave Theory Tech. 53, 1515-1521 (2005).
[CrossRef]

Marko, P.

D. R. Smith, S. Schultz, P. Marko, and C. M. Soukoulis, "Determination of effective permittivity and permeability of metamaterials from reflection and transmission coefficients," Phys. Rev. B 65, 195104 (2002).
[CrossRef]

Mock, J. J.

D. Schurig, J. J. Mock, B. J. Justice, S. A. Cummer, J. B. Pendry, A. F. Starr, and D. R. Smith, "Metamaterial electromagnetic cloak at microwave frequencies," Science,  314, 977-979 (2006).
[CrossRef] [PubMed]

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]

Osgood, R. M.

S. Zhang, W. Fan, K. J. Malloy, S. R. J. Brueck, N. C. Panoiu, and R. M. Osgood, "Demonstration of metal-dielectric negative-index metamaterials with improved performance at optical frequencies," J. Opt. Soc. Am. B 23, 434-438 (2006).
[CrossRef]

S. Zhang, W. Fan, N. C. Panoiu, K. J. Malloy, R. M. Osgood, and S. R. J. Brueck, "Demonstration of near-infrared negative-index metamaterials," Phys. Rev. Lett. 95, 137404 (2005).
[CrossRef] [PubMed]

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]

Panoiu, N. C.

S. Zhang, W. Fan, K. J. Malloy, S. R. J. Brueck, N. C. Panoiu, and R. M. Osgood, "Demonstration of metal-dielectric negative-index metamaterials with improved performance at optical frequencies," J. Opt. Soc. Am. B 23, 434-438 (2006).
[CrossRef]

S. Zhang, W. Fan, N. C. Panoiu, K. J. Malloy, R. M. Osgood, and S. R. J. Brueck, "Demonstration of near-infrared negative-index metamaterials," Phys. Rev. Lett. 95, 137404 (2005).
[CrossRef] [PubMed]

Pendry, J. B.

D. Schurig, J. J. Mock, B. J. Justice, S. A. Cummer, J. B. Pendry, A. F. Starr, and D. R. Smith, "Metamaterial electromagnetic cloak at microwave frequencies," Science,  314, 977-979 (2006).
[CrossRef] [PubMed]

J. B. Pendry, "Negative refraction makes a perfect lens," Phys. Rev. Lett. 85, 3966-3969 (2000).
[CrossRef] [PubMed]

Sarychev, A. K.

Schultz, S.

D. R. Smith, S. Schultz, P. Marko, and C. M. Soukoulis, "Determination of effective permittivity and permeability of metamaterials from reflection and transmission coefficients," Phys. Rev. B 65, 195104 (2002).
[CrossRef]

R. A. Shelby, D. R. Smith, and S. Schultz, "Experimental verification of a negative index of refraction," Science 292, 77-79 (2001).
[CrossRef] [PubMed]

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]

Schurig, D.

D. Schurig, J. J. Mock, B. J. Justice, S. A. Cummer, J. B. Pendry, A. F. Starr, and D. R. Smith, "Metamaterial electromagnetic cloak at microwave frequencies," Science,  314, 977-979 (2006).
[CrossRef] [PubMed]

Shalaev, V. M.

Shelby, R. A.

R. A. Shelby, D. R. Smith, and S. Schultz, "Experimental verification of a negative index of refraction," Science 292, 77-79 (2001).
[CrossRef] [PubMed]

Smith, D. R.

D. Schurig, J. J. Mock, B. J. Justice, S. A. Cummer, J. B. Pendry, A. F. Starr, and D. R. Smith, "Metamaterial electromagnetic cloak at microwave frequencies," Science,  314, 977-979 (2006).
[CrossRef] [PubMed]

D. R. Smith, D. C. Vier, T. Koschny, and C. M. Soukoulis, "Electromagnetic parameter retrieval from inhomogeneous metamaterials," Phys. Rev. E 71, 036617 (2005).
[CrossRef]

D. R. Smith, S. Schultz, P. Marko, and C. M. Soukoulis, "Determination of effective permittivity and permeability of metamaterials from reflection and transmission coefficients," Phys. Rev. B 65, 195104 (2002).
[CrossRef]

R. A. Shelby, D. R. Smith, and S. Schultz, "Experimental verification of a negative index of refraction," Science 292, 77-79 (2001).
[CrossRef] [PubMed]

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.

G. Dolling, M. Wegener, C. M. Soukoulis, and S. Linden, "Negative-index metamaterial at 780 nm wavelength," Opt. Lett. 32, 53-55 (2007).
[CrossRef]

G. Dolling, C. Enkrich, M. Wegener, C. M. Soukoulis, and S. Linden, "Low-loss negative-index metamaterial at communication wavelengths," Opt. Lett. 31, 1800-1802 (2006).
[CrossRef] [PubMed]

G. Dolling, C. Enkrich, M. Wegener, C. M. Soukoulis, and S. Linden, "Simultaneous Negative Phase and Group Velocity of Light in a Metamaterial," Science 312, 892-894 (2006).
[CrossRef] [PubMed]

D. R. Smith, D. C. Vier, T. Koschny, and C. M. Soukoulis, "Electromagnetic parameter retrieval from inhomogeneous metamaterials," Phys. Rev. E 71, 036617 (2005).
[CrossRef]

D. R. Smith, S. Schultz, P. Marko, and C. M. Soukoulis, "Determination of effective permittivity and permeability of metamaterials from reflection and transmission coefficients," Phys. Rev. B 65, 195104 (2002).
[CrossRef]

Starr, A. F.

D. Schurig, J. J. Mock, B. J. Justice, S. A. Cummer, J. B. Pendry, A. F. Starr, and D. R. Smith, "Metamaterial electromagnetic cloak at microwave frequencies," Science,  314, 977-979 (2006).
[CrossRef] [PubMed]

Veselago, V. G.

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

Vier, D. C.

D. R. Smith, D. C. Vier, T. Koschny, and C. M. Soukoulis, "Electromagnetic parameter retrieval from inhomogeneous metamaterials," Phys. Rev. E 71, 036617 (2005).
[CrossRef]

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]

Walsworth, R. L.

J. Kästel, M. Fleischhauer, S. F. Yelin, and R. L. Walsworth, "Tunable negative refraction without absorption via electromagnetically induced chirality," Phys. Rev. Lett. 99, 073602 (2007).
[CrossRef] [PubMed]

Wang, F. M.

F. M. Wang, H. Liu, T. Li, Z. G. Dong, S. N. Zhu, and X. Zhang, "Metamaterial of rod pairs standing on gold plate and its negative refraction property in the far-infrared frequency regime," Phys. Rev. E 75, 016604 (2007).
[CrossRef]

Z. G. Dong, S. Y. Lei, Q. Li, M. X. Xu, H. Liu, T. Li, F. M. Wang, and S. N. Zhu, "Non-left-handed transmission and bianisotropic effect in a �?-shaped metallic metamaterial," Phys. Rev. B 75, 075117 (2007).
[CrossRef]

Wegener, M.

Xiao, S. M.

Xu, M. X.

Z. G. Dong, S. Y. Lei, Q. Li, M. X. Xu, H. Liu, T. Li, F. M. Wang, and S. N. Zhu, "Non-left-handed transmission and bianisotropic effect in a �?-shaped metallic metamaterial," Phys. Rev. B 75, 075117 (2007).
[CrossRef]

Yelin, S. F.

J. Kästel, M. Fleischhauer, S. F. Yelin, and R. L. Walsworth, "Tunable negative refraction without absorption via electromagnetically induced chirality," Phys. Rev. Lett. 99, 073602 (2007).
[CrossRef] [PubMed]

Yen, T. J.

Z. W. Liu, N. Fang, T. J. Yen, and X. Zhang, "Rapid growth of evanescent wave by a silver superlens," Appl. Phys. Lett. 83, 5184-5186 (2003).
[CrossRef]

Yuan, H. K.

Zhang, S.

S. Zhang, W. Fan, K. J. Malloy, S. R. J. Brueck, N. C. Panoiu, and R. M. Osgood, "Demonstration of metal-dielectric negative-index metamaterials with improved performance at optical frequencies," J. Opt. Soc. Am. B 23, 434-438 (2006).
[CrossRef]

S. Zhang, W. Fan, N. C. Panoiu, K. J. Malloy, R. M. Osgood, and S. R. J. Brueck, "Demonstration of near-infrared negative-index metamaterials," Phys. Rev. Lett. 95, 137404 (2005).
[CrossRef] [PubMed]

Zhang, X.

F. M. Wang, H. Liu, T. Li, Z. G. Dong, S. N. Zhu, and X. Zhang, "Metamaterial of rod pairs standing on gold plate and its negative refraction property in the far-infrared frequency regime," Phys. Rev. E 75, 016604 (2007).
[CrossRef]

Z. W. Liu, N. Fang, T. J. Yen, and X. Zhang, "Rapid growth of evanescent wave by a silver superlens," Appl. Phys. Lett. 83, 5184-5186 (2003).
[CrossRef]

N. Fang and X. Zhang, "Imaging properties of a metamaterial superlens," Appl. Phys. Lett. 82, 161-163 (2003).
[CrossRef]

Zhu, S. N.

Z. G. Dong, S. Y. Lei, Q. Li, M. X. Xu, H. Liu, T. Li, F. M. Wang, and S. N. Zhu, "Non-left-handed transmission and bianisotropic effect in a �?-shaped metallic metamaterial," Phys. Rev. B 75, 075117 (2007).
[CrossRef]

F. M. Wang, H. Liu, T. Li, Z. G. Dong, S. N. Zhu, and X. Zhang, "Metamaterial of rod pairs standing on gold plate and its negative refraction property in the far-infrared frequency regime," Phys. Rev. E 75, 016604 (2007).
[CrossRef]

Ziolkowski, R. W.

R. W. Ziolkowski and E. Heyman, "Wave propagation in media having negative permittivity and permeability," Phys. Rev. E 64, 056625 (2001).
[CrossRef]

Appl. Phys. Lett. (2)

N. Fang and X. Zhang, "Imaging properties of a metamaterial superlens," Appl. Phys. Lett. 82, 161-163 (2003).
[CrossRef]

Z. W. Liu, N. Fang, T. J. Yen, and X. Zhang, "Rapid growth of evanescent wave by a silver superlens," Appl. Phys. Lett. 83, 5184-5186 (2003).
[CrossRef]

IEEE Trans. Microwave Theory Tech. (1)

S. G. Mao, S. L. Chen, and C. W. Huang, "Effective electromagnetic parameters of novel distributed left-handed microstrip lines," IEEE Trans. Microwave Theory Tech. 53, 1515-1521 (2005).
[CrossRef]

J. Appl. Phys. (1)

A. Grbic and G. V. Eleftheriades, "Experimental verification of backward-wave radiation from a negative refractive index metamaterial," J. Appl. Phys. 92, 5930-5935 (2002).
[CrossRef]

J. Opt. Soc. Am. B (1)

Microwave Opt. Tech. Lett. (1)

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

Opt. Lett. (5)

Phys. Lett. A (1)

C. M. Krowne, "Multi-species two-level atomic media displaying electromagnetic left handedness," Phys. Lett. A 372, 2304-2310 (2008).
[CrossRef]

Phys. Rev. B (2)

Z. G. Dong, S. Y. Lei, Q. Li, M. X. Xu, H. Liu, T. Li, F. M. Wang, and S. N. Zhu, "Non-left-handed transmission and bianisotropic effect in a �?-shaped metallic metamaterial," Phys. Rev. B 75, 075117 (2007).
[CrossRef]

D. R. Smith, S. Schultz, P. Marko, and C. M. Soukoulis, "Determination of effective permittivity and permeability of metamaterials from reflection and transmission coefficients," Phys. Rev. B 65, 195104 (2002).
[CrossRef]

Phys. Rev. E (3)

D. R. Smith, D. C. Vier, T. Koschny, and C. M. Soukoulis, "Electromagnetic parameter retrieval from inhomogeneous metamaterials," Phys. Rev. E 71, 036617 (2005).
[CrossRef]

R. W. Ziolkowski and E. Heyman, "Wave propagation in media having negative permittivity and permeability," Phys. Rev. E 64, 056625 (2001).
[CrossRef]

F. M. Wang, H. Liu, T. Li, Z. G. Dong, S. N. Zhu, and X. Zhang, "Metamaterial of rod pairs standing on gold plate and its negative refraction property in the far-infrared frequency regime," Phys. Rev. E 75, 016604 (2007).
[CrossRef]

Phys. Rev. Lett. (4)

J. B. Pendry, "Negative refraction makes a perfect lens," Phys. Rev. Lett. 85, 3966-3969 (2000).
[CrossRef] [PubMed]

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]

J. Kästel, M. Fleischhauer, S. F. Yelin, and R. L. Walsworth, "Tunable negative refraction without absorption via electromagnetically induced chirality," Phys. Rev. Lett. 99, 073602 (2007).
[CrossRef] [PubMed]

S. Zhang, W. Fan, N. C. Panoiu, K. J. Malloy, R. M. Osgood, and S. R. J. Brueck, "Demonstration of near-infrared negative-index metamaterials," Phys. Rev. Lett. 95, 137404 (2005).
[CrossRef] [PubMed]

Science (4)

H. J. Lezec, J. A. Dionne, and H. A. Atwater, "Negative refraction at visible frequencies," Science 316, 430-432 (2007).
[CrossRef] [PubMed]

R. A. Shelby, D. R. Smith, and S. Schultz, "Experimental verification of a negative index of refraction," Science 292, 77-79 (2001).
[CrossRef] [PubMed]

D. Schurig, J. J. Mock, B. J. Justice, S. A. Cummer, J. B. Pendry, A. F. Starr, and D. R. Smith, "Metamaterial electromagnetic cloak at microwave frequencies," Science,  314, 977-979 (2006).
[CrossRef] [PubMed]

G. Dolling, C. Enkrich, M. Wegener, C. M. Soukoulis, and S. Linden, "Simultaneous Negative Phase and Group Velocity of Light in a Metamaterial," Science 312, 892-894 (2006).
[CrossRef] [PubMed]

Sov. Phys. Usp. (1)

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

Other (1)

T. Okamoto, In Near-field Optics and Surface Plasmon Polariton, S. Kawata, M. Ohtsu, and M. Irie, eds., (Springer, New York, 2001), Chap. 6, p.97.

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Figures (5)

Fig. 1.
Fig. 1.

(a) Schematic for a metal waveguide with array of H shape within it. (b) A unit cell with geometric dimensions L=600 nm, W=500 nm, a=120 nm, b=300 nm, g=40 nm, t=24 nm, and s=12 nm. The glass substrate is much thicker than the silver layer. The propagation of the polarized electromagnetic wave is along the z axis, and the electric field and the magnetic field are respectively in the x and y directions.

Fig. 2.
Fig. 2.

Fig. 2. (a) Simulated S parameters for the unit cell in Fig. 1(b); (b) retrieved refractive index; (c) retrieved impedance; (d) retrieved permittivity; (e) retrieved permeability. (f) Distributions of the condition Γ and the Re(n).

Fig. 3.
Fig. 3.

Distribution of FOM in the negative-index band in Fig. 2(b).

Fig. 4.
Fig. 4.

(a) Simulated S parameters for the unit cell with geometric dimensions L=700 nm, W=640 nm, a=200 nm, b=400 nm, g=40nm, t=30 nm, and s=15 nm; (b) retrieved refractive index; (c) retrieved permittivity; (d) retrieved permeability.

Fig. 5.
Fig. 5.

istribution of FOM in the negative-index band in Fig. 4(b).

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