Abstract

In this present work, we propose and demonstrate a resonant structure that solves two major problems related to the split-ring resonator structure. One of the problems related to the split-ring resonator structure is the bianisotropy, and the other problem is the electric coupling to the magnetic resonance of the split-ring resonator structure. These two problems introduce difficulties in obtaining isotropic left-handed metamaterial mediums. The resonant structure that we propose here solves both of these problems. We further show that in addition to the magnetic resonance, when combined with a suitable wire medium, the structure that we propose exhibits left-handed transmission band. We believe that the structure we proposed may have important consequences in the design of isotropic negative index metamaterial mediums.

© 2005 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 ( 1968 ).
    [Crossref]
  2. D. F. Sievenpiper , M. E. Sickmiller , and E. Yablonovitch , “ 3D Wire Mesh Photonic Crystals ,” Phys. Rev. Lett.   76 , 2480 ( 1996 ).
    [Crossref] [PubMed]
  3. 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] [PubMed]
  4. S.I. Maslovski , S.A. Tretyakov , and P.A. Belov , “ Wire media with negative effective permittivity: A quasi-static model ,” Microwave Opt. Technol. Lett.   35 , 47 ( 2002 ).
    [Crossref]
  5. C. Poulton , S. Guenneau , and A. B. Movchan , “ Noncommuting limits and effective properties for oblique propagation of electromagnetic waves through an array of aligned fibres ,” Phys. Rev B   69 , 195112 , ( 2004 ).
    [Crossref]
  6. D. Felbacq and G. Bouchitte , “ Homogenization of a set of parallel fibres ,” Waves In Rand. Med.   7 , 245 ( 1997 ).
    [Crossref]
  7. J. B. Pendry , A. J. Holden , D. J. Robins , and W. J. Stewart , “ Magnetism from conductors and enhanced nonlinear phenomena ,” IEEE Trans. Microwave Theory Technol.   47 , 2075 ( 1999 ).
    [Crossref]
  8. P. Markos and C. M. Soukoulis , “ Transmission studies of left-handed materials ,” Phys. Rev. B   65 , 033401 ( 2001 )
    [Crossref]
  9. Mehmet Bayindir , K. Aydin , E. Ozbay , P. Marko , and C. M. Soukoulis , “ Transmission properties of composite metamaterials in free space ,” Appl. Phys. Lett.   81 , 120 ( 2002 )
    [Crossref]
  10. Philippe Gay-Balmaz and Olivier J. F. Martin , “ Electromagnetic resonances in individual and coupled split-ring resonators ,” J. Appl. Phys.   92 , 2929 ( 2002 )
    [Crossref]
  11. R. Marques , J. Martel , F. Mesa , and F. Medina , “ Left-Handed-Media Simulation and Transmission of EM Waves in Subwavelength Split-Ring-Resonator-Loaded Metallic Waveguides ,” Phys. Rev. Lett.   89 , 183901 ( 2002 )
    [Crossref] [PubMed]
  12. C. R. Simovski and B. Sauviac , “ Role of wave interaction of wires and split-ring resonators for the losses in a left-handed composite ,” Phys. Rev. E   70 , 046607 ( 2004 )
    [Crossref]
  13. A. B. Movchan and S. Guenneau , “ Split-ring resonators and localized modes ,” Phys. Rev. B   70 , 125116 ( 2004 )
    [Crossref]
  14. Yi-Jang Hsu , Yen-Chun Huang , Jiann-Shing Lih , and Jyh-Long Chern , “ Electromagnetic resonance in deformed split ring resonators of left-handed meta-materials ,” J. Appl. Phys.   96 , 1979 ( 2004 )
    [Crossref]
  15. M. Shamonin , E. Shamonina , V. Kalinin , and L. Solymar , “ Properties of a metamaterial element: Analytical solutions and numerical simulations for a singly split double ring ,” J. Appl. Phys.   95 , 3778 ( 2004 )
    [Crossref]
  16. Yen-Chun Huang , Yi-Jang Hsu , Jiann-Shing Lih , and Jyh-Long Chern , “ Transmission Characteristics of Deformed Split-Ring Resonators ,” Jpn. J. Appl. Phys. , Part 2   43 , L190 ( 2004 )
    [Crossref]
  17. B. Sauviac , C.R. Simovski , and S.A. Tretyakov , “ Double split-ring resonators: Analytical modeling and numerical simulations ,” Electromagnetics   24 , 317 ( 2004 ).
    [Crossref]
  18. Philippe Gay-Balmaz and Olivier J. F. Martin , “ Efficient isotropic magnetic resonators ,” Appl. Phys. Lett.   81 , 939 ( 2002 )
    [Crossref]
  19. D. R. Smith , S. Schultz , P. Markos , and C. M. Soukoulis , “ Determination of effective permittivity and permeability of metamaterials from reflection and transmission coefficients ,” Phys. Rev. B   65 , 195104 ( 2002 )
    [Crossref]
  20. T. Koschny , M. Kafesaki , E. N. Economou , and C. M. Soukoulis , “ Effective Medium Theory of Left-Handed Materials ,” Phys. Rev. Lett.   93 , 107402 ( 2004 )
    [Crossref] [PubMed]
  21. T. Koschny , P. Markos , D. R. Smith , and C. M. Soukoulis , “ Resonant and antiresonant frequency dependence of the effective parameters of metamaterials ,” Phys. Rev. E   68 , 065602 ( 2003 )
    [Crossref]
  22. Th. Koschny , P. Markos , E. N. Economou , D. R. Smith , D. C. Vier , and C. M. Soukoulis , “ Impact of inherent periodic structure on effective medium description of left-handed and related metamaterials ,” Phys. Rev. B   71 , 245105 ( 2005 )
    [Crossref]
  23. D. R. Smith , D. C. Vier , N. Kroll , and S. Schultz , “ Direct calculation of permeability and permittivity for a left-handed metamaterial ,” Appl. Phys. Lett.   77 , 2246 ( 2000 ).
    [Crossref]
  24. Xudong Chen , Tomasz M. Grzegorczyk , Bae-Ian Wu , Joe Pacheco , and Jin Au Kong , “ Robust method to retrieve the constitutive effective parameters of metamaterials ,” Phys. Rev. E   70 , 016608 ( 2004 )
    [Crossref]
  25. Xudong Chen , Bae-Ian Wu , Jin Au Kong , and Tomasz M. Grzegorczyk , “ Retrieval of the effective constitutive parameters of bianisotropic metamaterials ,” Phys. Rev. E   71 , 046610 ( 2005 )
    [Crossref]
  26. D. R. Smith , Willie 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 ( 2000 )
    [Crossref] [PubMed]
  27. Andrew A. Houck , Jeffrey B. Brock , and Isaac L. Chuang , “ Experimental Observations of a Left-Handed Material That Obeys Snell’s Law ,” Phys. Rev. Lett.   90 , 137401 ( 2003 )
    [Crossref] [PubMed]
  28. Z. G. Dong , S. N. Zhu , H. Liu , J. Zhu , and W. Cao , “ Numerical simulations of negative-index refraction in wedge-shaped metamaterials ,” Phys. Rev. E   72 , 016607 ( 2005 )
    [Crossref]
  29. R. A. Shelby , D. R. Smith , and S. Schultz , “ Experimental Verification of a Negative Index of Refraction ,” Science   292 , 77 ( 2001 ).
    [Crossref] [PubMed]
  30. L. Ran , J. Huangfu , H. Chen , X. Zhang , K. Chen , T. M. Grzegorczyk , and J. A. Kong , “ Beam shifting experiment for the characterization of left-handed properties ,” J. Appl. Phys.   95 , 2238 ( 2004 ).
    [Crossref]
  31. A. A. Houck , J. B. Brock , and I. L. Chuang , “ Experimental Observations of a Left-Handed Material That Obeys Snell’s Law ,” Phys. Rev. Lett.   90 , 137401 ( 2003 )
    [Crossref] [PubMed]
  32. C. G. Parazzoli , R. B. Greegor , K. Li , B. E. C. Koltenbah , and M. Tanielian , “ Experimental Verification and Simulation of Negative Index of Refraction Using Snell’s Law ,” Phys. Rev. Lett.   90 , 107401 ( 2003 ).
    [Crossref] [PubMed]
  33. Koray Aydin , Kaan Guven , Costas M. Soukoulis , and Ekmel Ozbay , “ Observation of negative refraction and negative phase velocity in left-handed metamaterials ,” Appl. Phys. Lett.   86 , 124102 ( 2005 ).
    [Crossref]
  34. K. Guven , K. Aydin , K. B. Alici , C. M. Soukoulis , and E. Ozbay , “ Spectral negative refraction and focusing analysis of a two-dimensional left-handed photonic crystal lens ,” Phys. Rev. B   70 , 205125 ( 2004 ).
    [Crossref]
  35. R. Marques , F. Mesa , J. Martel , and F. Medina , “ Comparative analysis of edge- and broadside- coupled split ring resonators for metamaterial design - theory and experiments ,” IEEE Trans. Antennas Propag.   51 , 2572 ( 2003 ).
    [Crossref]
  36. R. Marques , F. Medina , and R. Rafii-El-Idrissi , “ Role of bianisotropy in negative permeability and left-handed metamaterials ,” Phys. Rev. B   65 , 144440 ( 2002 ).
    [Crossref]
  37. J.D. Baena , J. Bonache , F. Martin , R. M. Sillero , F. Falcone , T. Lopetegi , M.A.G. Laso , J. Garcia-Garcia , I. Gil , M. F. Portillo , and M. Sorolla , “ Equivalent-circuit models for split-ring resonators and complementary split-ring resonators coupled to planar transmission lines ,” IEEE Trans. Microw. Theory Tech.   53 , 1451 ( 2005 ).
    [Crossref]
  38. N. Katsarakis , T. Koschny , M. Kafesaki , E. N. Economou , and C. M. Soukoulis , “ Electric coupling to the magnetic resonance of split ring resonators ,” Appl. Phys. Lett.   84 , 2943 ( 2004 )
    [Crossref]
  39. R. Marques , F. Medina , and R. Rafii-El-Idrissi , Comment on “ Electromagnetic resonances in individual and coupled split-ring resonators ” [ J. Appl. Phys.   92 , 2929 ( 2002 )] J. Appl. Phys.   94 , 2770 ( 2003 )
    [Crossref]
  40. Koray Aydin , Kaan Guven , Maria Kafesaki , Lei Zhang , Costas M. Soukoulis , and Ekmel Ozbay , “ Experimental observation of true left-handed transmission peaks in metamaterials ,” Opt. Lett.   29 , 2623 ( 2004 )
    [Crossref] [PubMed]

2005 (5)

Th. Koschny , P. Markos , E. N. Economou , D. R. Smith , D. C. Vier , and C. M. Soukoulis , “ Impact of inherent periodic structure on effective medium description of left-handed and related metamaterials ,” Phys. Rev. B   71 , 245105 ( 2005 )
[Crossref]

Xudong Chen , Bae-Ian Wu , Jin Au Kong , and Tomasz M. Grzegorczyk , “ Retrieval of the effective constitutive parameters of bianisotropic metamaterials ,” Phys. Rev. E   71 , 046610 ( 2005 )
[Crossref]

Z. G. Dong , S. N. Zhu , H. Liu , J. Zhu , and W. Cao , “ Numerical simulations of negative-index refraction in wedge-shaped metamaterials ,” Phys. Rev. E   72 , 016607 ( 2005 )
[Crossref]

Koray Aydin , Kaan Guven , Costas M. Soukoulis , and Ekmel Ozbay , “ Observation of negative refraction and negative phase velocity in left-handed metamaterials ,” Appl. Phys. Lett.   86 , 124102 ( 2005 ).
[Crossref]

J.D. Baena , J. Bonache , F. Martin , R. M. Sillero , F. Falcone , T. Lopetegi , M.A.G. Laso , J. Garcia-Garcia , I. Gil , M. F. Portillo , and M. Sorolla , “ Equivalent-circuit models for split-ring resonators and complementary split-ring resonators coupled to planar transmission lines ,” IEEE Trans. Microw. Theory Tech.   53 , 1451 ( 2005 ).
[Crossref]

2004 (13)

N. Katsarakis , T. Koschny , M. Kafesaki , E. N. Economou , and C. M. Soukoulis , “ Electric coupling to the magnetic resonance of split ring resonators ,” Appl. Phys. Lett.   84 , 2943 ( 2004 )
[Crossref]

L. Ran , J. Huangfu , H. Chen , X. Zhang , K. Chen , T. M. Grzegorczyk , and J. A. Kong , “ Beam shifting experiment for the characterization of left-handed properties ,” J. Appl. Phys.   95 , 2238 ( 2004 ).
[Crossref]

Koray Aydin , Kaan Guven , Maria Kafesaki , Lei Zhang , Costas M. Soukoulis , and Ekmel Ozbay , “ Experimental observation of true left-handed transmission peaks in metamaterials ,” Opt. Lett.   29 , 2623 ( 2004 )
[Crossref] [PubMed]

K. Guven , K. Aydin , K. B. Alici , C. M. Soukoulis , and E. Ozbay , “ Spectral negative refraction and focusing analysis of a two-dimensional left-handed photonic crystal lens ,” Phys. Rev. B   70 , 205125 ( 2004 ).
[Crossref]

Xudong Chen , Tomasz M. Grzegorczyk , Bae-Ian Wu , Joe Pacheco , and Jin Au Kong , “ Robust method to retrieve the constitutive effective parameters of metamaterials ,” Phys. Rev. E   70 , 016608 ( 2004 )
[Crossref]

T. Koschny , M. Kafesaki , E. N. Economou , and C. M. Soukoulis , “ Effective Medium Theory of Left-Handed Materials ,” Phys. Rev. Lett.   93 , 107402 ( 2004 )
[Crossref] [PubMed]

C. Poulton , S. Guenneau , and A. B. Movchan , “ Noncommuting limits and effective properties for oblique propagation of electromagnetic waves through an array of aligned fibres ,” Phys. Rev B   69 , 195112 , ( 2004 ).
[Crossref]

C. R. Simovski and B. Sauviac , “ Role of wave interaction of wires and split-ring resonators for the losses in a left-handed composite ,” Phys. Rev. E   70 , 046607 ( 2004 )
[Crossref]

A. B. Movchan and S. Guenneau , “ Split-ring resonators and localized modes ,” Phys. Rev. B   70 , 125116 ( 2004 )
[Crossref]

Yi-Jang Hsu , Yen-Chun Huang , Jiann-Shing Lih , and Jyh-Long Chern , “ Electromagnetic resonance in deformed split ring resonators of left-handed meta-materials ,” J. Appl. Phys.   96 , 1979 ( 2004 )
[Crossref]

M. Shamonin , E. Shamonina , V. Kalinin , and L. Solymar , “ Properties of a metamaterial element: Analytical solutions and numerical simulations for a singly split double ring ,” J. Appl. Phys.   95 , 3778 ( 2004 )
[Crossref]

Yen-Chun Huang , Yi-Jang Hsu , Jiann-Shing Lih , and Jyh-Long Chern , “ Transmission Characteristics of Deformed Split-Ring Resonators ,” Jpn. J. Appl. Phys. , Part 2   43 , L190 ( 2004 )
[Crossref]

B. Sauviac , C.R. Simovski , and S.A. Tretyakov , “ Double split-ring resonators: Analytical modeling and numerical simulations ,” Electromagnetics   24 , 317 ( 2004 ).
[Crossref]

2003 (5)

T. Koschny , P. Markos , D. R. Smith , and C. M. Soukoulis , “ Resonant and antiresonant frequency dependence of the effective parameters of metamaterials ,” Phys. Rev. E   68 , 065602 ( 2003 )
[Crossref]

Andrew A. Houck , Jeffrey B. Brock , and Isaac L. Chuang , “ Experimental Observations of a Left-Handed Material That Obeys Snell’s Law ,” Phys. Rev. Lett.   90 , 137401 ( 2003 )
[Crossref] [PubMed]

R. Marques , F. Mesa , J. Martel , and F. Medina , “ Comparative analysis of edge- and broadside- coupled split ring resonators for metamaterial design - theory and experiments ,” IEEE Trans. Antennas Propag.   51 , 2572 ( 2003 ).
[Crossref]

A. A. Houck , J. B. Brock , and I. L. Chuang , “ Experimental Observations of a Left-Handed Material That Obeys Snell’s Law ,” Phys. Rev. Lett.   90 , 137401 ( 2003 )
[Crossref] [PubMed]

C. G. Parazzoli , R. B. Greegor , K. Li , B. E. C. Koltenbah , and M. Tanielian , “ Experimental Verification and Simulation of Negative Index of Refraction Using Snell’s Law ,” Phys. Rev. Lett.   90 , 107401 ( 2003 ).
[Crossref] [PubMed]

2002 (8)

R. Marques , F. Medina , and R. Rafii-El-Idrissi , Comment on “ Electromagnetic resonances in individual and coupled split-ring resonators ” [ J. Appl. Phys.   92 , 2929 ( 2002 )] J. Appl. Phys.   94 , 2770 ( 2003 )
[Crossref]

R. Marques , F. Medina , and R. Rafii-El-Idrissi , “ Role of bianisotropy in negative permeability and left-handed metamaterials ,” Phys. Rev. B   65 , 144440 ( 2002 ).
[Crossref]

Mehmet Bayindir , K. Aydin , E. Ozbay , P. Marko , and C. M. Soukoulis , “ Transmission properties of composite metamaterials in free space ,” Appl. Phys. Lett.   81 , 120 ( 2002 )
[Crossref]

Philippe Gay-Balmaz and Olivier J. F. Martin , “ Electromagnetic resonances in individual and coupled split-ring resonators ,” J. Appl. Phys.   92 , 2929 ( 2002 )
[Crossref]

R. Marques , J. Martel , F. Mesa , and F. Medina , “ Left-Handed-Media Simulation and Transmission of EM Waves in Subwavelength Split-Ring-Resonator-Loaded Metallic Waveguides ,” Phys. Rev. Lett.   89 , 183901 ( 2002 )
[Crossref] [PubMed]

Philippe Gay-Balmaz and Olivier J. F. Martin , “ Efficient isotropic magnetic resonators ,” Appl. Phys. Lett.   81 , 939 ( 2002 )
[Crossref]

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

S.I. Maslovski , S.A. Tretyakov , and P.A. Belov , “ Wire media with negative effective permittivity: A quasi-static model ,” Microwave Opt. Technol. Lett.   35 , 47 ( 2002 ).
[Crossref]

2001 (2)

P. Markos and C. M. Soukoulis , “ Transmission studies of left-handed materials ,” Phys. Rev. B   65 , 033401 ( 2001 )
[Crossref]

R. A. Shelby , D. R. Smith , and S. Schultz , “ Experimental Verification of a Negative Index of Refraction ,” Science   292 , 77 ( 2001 ).
[Crossref] [PubMed]

2000 (2)

D. R. Smith , Willie 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 ( 2000 )
[Crossref] [PubMed]

D. R. Smith , D. C. Vier , N. Kroll , and S. Schultz , “ Direct calculation of permeability and permittivity for a left-handed metamaterial ,” Appl. Phys. Lett.   77 , 2246 ( 2000 ).
[Crossref]

1999 (1)

J. B. Pendry , A. J. Holden , D. J. Robins , and W. J. Stewart , “ Magnetism from conductors and enhanced nonlinear phenomena ,” IEEE Trans. Microwave Theory Technol.   47 , 2075 ( 1999 ).
[Crossref]

1997 (1)

D. Felbacq and G. Bouchitte , “ Homogenization of a set of parallel fibres ,” Waves In Rand. Med.   7 , 245 ( 1997 ).
[Crossref]

1996 (2)

D. F. Sievenpiper , M. E. Sickmiller , and E. Yablonovitch , “ 3D Wire Mesh Photonic Crystals ,” Phys. Rev. Lett.   76 , 2480 ( 1996 ).
[Crossref] [PubMed]

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] [PubMed]

1968 (1)

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

Alici, K. B.

K. Guven , K. Aydin , K. B. Alici , C. M. Soukoulis , and E. Ozbay , “ Spectral negative refraction and focusing analysis of a two-dimensional left-handed photonic crystal lens ,” Phys. Rev. B   70 , 205125 ( 2004 ).
[Crossref]

Au Kong, Jin

Xudong Chen , Tomasz M. Grzegorczyk , Bae-Ian Wu , Joe Pacheco , and Jin Au Kong , “ Robust method to retrieve the constitutive effective parameters of metamaterials ,” Phys. Rev. E   70 , 016608 ( 2004 )
[Crossref]

Aydin, K.

K. Guven , K. Aydin , K. B. Alici , C. M. Soukoulis , and E. Ozbay , “ Spectral negative refraction and focusing analysis of a two-dimensional left-handed photonic crystal lens ,” Phys. Rev. B   70 , 205125 ( 2004 ).
[Crossref]

Mehmet Bayindir , K. Aydin , E. Ozbay , P. Marko , and C. M. Soukoulis , “ Transmission properties of composite metamaterials in free space ,” Appl. Phys. Lett.   81 , 120 ( 2002 )
[Crossref]

Aydin, Koray

Koray Aydin , Kaan Guven , Costas M. Soukoulis , and Ekmel Ozbay , “ Observation of negative refraction and negative phase velocity in left-handed metamaterials ,” Appl. Phys. Lett.   86 , 124102 ( 2005 ).
[Crossref]

Koray Aydin , Kaan Guven , Maria Kafesaki , Lei Zhang , Costas M. Soukoulis , and Ekmel Ozbay , “ Experimental observation of true left-handed transmission peaks in metamaterials ,” Opt. Lett.   29 , 2623 ( 2004 )
[Crossref] [PubMed]

Baena, J.D.

J.D. Baena , J. Bonache , F. Martin , R. M. Sillero , F. Falcone , T. Lopetegi , M.A.G. Laso , J. Garcia-Garcia , I. Gil , M. F. Portillo , and M. Sorolla , “ Equivalent-circuit models for split-ring resonators and complementary split-ring resonators coupled to planar transmission lines ,” IEEE Trans. Microw. Theory Tech.   53 , 1451 ( 2005 ).
[Crossref]

Bayindir, Mehmet

Mehmet Bayindir , K. Aydin , E. Ozbay , P. Marko , and C. M. Soukoulis , “ Transmission properties of composite metamaterials in free space ,” Appl. Phys. Lett.   81 , 120 ( 2002 )
[Crossref]

Belov, P.A.

S.I. Maslovski , S.A. Tretyakov , and P.A. Belov , “ Wire media with negative effective permittivity: A quasi-static model ,” Microwave Opt. Technol. Lett.   35 , 47 ( 2002 ).
[Crossref]

Bonache, J.

J.D. Baena , J. Bonache , F. Martin , R. M. Sillero , F. Falcone , T. Lopetegi , M.A.G. Laso , J. Garcia-Garcia , I. Gil , M. F. Portillo , and M. Sorolla , “ Equivalent-circuit models for split-ring resonators and complementary split-ring resonators coupled to planar transmission lines ,” IEEE Trans. Microw. Theory Tech.   53 , 1451 ( 2005 ).
[Crossref]

Bouchitte, G.

D. Felbacq and G. Bouchitte , “ Homogenization of a set of parallel fibres ,” Waves In Rand. Med.   7 , 245 ( 1997 ).
[Crossref]

Brock, J. B.

A. A. Houck , J. B. Brock , and I. L. Chuang , “ Experimental Observations of a Left-Handed Material That Obeys Snell’s Law ,” Phys. Rev. Lett.   90 , 137401 ( 2003 )
[Crossref] [PubMed]

Brock, Jeffrey B.

Andrew A. Houck , Jeffrey B. Brock , and Isaac L. Chuang , “ Experimental Observations of a Left-Handed Material That Obeys Snell’s Law ,” Phys. Rev. Lett.   90 , 137401 ( 2003 )
[Crossref] [PubMed]

Cao, W.

Z. G. Dong , S. N. Zhu , H. Liu , J. Zhu , and W. Cao , “ Numerical simulations of negative-index refraction in wedge-shaped metamaterials ,” Phys. Rev. E   72 , 016607 ( 2005 )
[Crossref]

Chen, H.

L. Ran , J. Huangfu , H. Chen , X. Zhang , K. Chen , T. M. Grzegorczyk , and J. A. Kong , “ Beam shifting experiment for the characterization of left-handed properties ,” J. Appl. Phys.   95 , 2238 ( 2004 ).
[Crossref]

Chen, K.

L. Ran , J. Huangfu , H. Chen , X. Zhang , K. Chen , T. M. Grzegorczyk , and J. A. Kong , “ Beam shifting experiment for the characterization of left-handed properties ,” J. Appl. Phys.   95 , 2238 ( 2004 ).
[Crossref]

Chen, Xudong

Xudong Chen , Bae-Ian Wu , Jin Au Kong , and Tomasz M. Grzegorczyk , “ Retrieval of the effective constitutive parameters of bianisotropic metamaterials ,” Phys. Rev. E   71 , 046610 ( 2005 )
[Crossref]

Xudong Chen , Tomasz M. Grzegorczyk , Bae-Ian Wu , Joe Pacheco , and Jin Au Kong , “ Robust method to retrieve the constitutive effective parameters of metamaterials ,” Phys. Rev. E   70 , 016608 ( 2004 )
[Crossref]

Chern, Jyh-Long

Yi-Jang Hsu , Yen-Chun Huang , Jiann-Shing Lih , and Jyh-Long Chern , “ Electromagnetic resonance in deformed split ring resonators of left-handed meta-materials ,” J. Appl. Phys.   96 , 1979 ( 2004 )
[Crossref]

Yen-Chun Huang , Yi-Jang Hsu , Jiann-Shing Lih , and Jyh-Long Chern , “ Transmission Characteristics of Deformed Split-Ring Resonators ,” Jpn. J. Appl. Phys. , Part 2   43 , L190 ( 2004 )
[Crossref]

Chuang, I. L.

A. A. Houck , J. B. Brock , and I. L. Chuang , “ Experimental Observations of a Left-Handed Material That Obeys Snell’s Law ,” Phys. Rev. Lett.   90 , 137401 ( 2003 )
[Crossref] [PubMed]

Chuang, Isaac L.

Andrew A. Houck , Jeffrey B. Brock , and Isaac L. Chuang , “ Experimental Observations of a Left-Handed Material That Obeys Snell’s Law ,” Phys. Rev. Lett.   90 , 137401 ( 2003 )
[Crossref] [PubMed]

Dong, Z. G.

Z. G. Dong , S. N. Zhu , H. Liu , J. Zhu , and W. Cao , “ Numerical simulations of negative-index refraction in wedge-shaped metamaterials ,” Phys. Rev. E   72 , 016607 ( 2005 )
[Crossref]

Economou, E. N.

Th. Koschny , P. Markos , E. N. Economou , D. R. Smith , D. C. Vier , and C. M. Soukoulis , “ Impact of inherent periodic structure on effective medium description of left-handed and related metamaterials ,” Phys. Rev. B   71 , 245105 ( 2005 )
[Crossref]

T. Koschny , M. Kafesaki , E. N. Economou , and C. M. Soukoulis , “ Effective Medium Theory of Left-Handed Materials ,” Phys. Rev. Lett.   93 , 107402 ( 2004 )
[Crossref] [PubMed]

N. Katsarakis , T. Koschny , M. Kafesaki , E. N. Economou , and C. M. Soukoulis , “ Electric coupling to the magnetic resonance of split ring resonators ,” Appl. Phys. Lett.   84 , 2943 ( 2004 )
[Crossref]

Falcone, F.

J.D. Baena , J. Bonache , F. Martin , R. M. Sillero , F. Falcone , T. Lopetegi , M.A.G. Laso , J. Garcia-Garcia , I. Gil , M. F. Portillo , and M. Sorolla , “ Equivalent-circuit models for split-ring resonators and complementary split-ring resonators coupled to planar transmission lines ,” IEEE Trans. Microw. Theory Tech.   53 , 1451 ( 2005 ).
[Crossref]

Felbacq, D.

D. Felbacq and G. Bouchitte , “ Homogenization of a set of parallel fibres ,” Waves In Rand. Med.   7 , 245 ( 1997 ).
[Crossref]

Garcia-Garcia, J.

J.D. Baena , J. Bonache , F. Martin , R. M. Sillero , F. Falcone , T. Lopetegi , M.A.G. Laso , J. Garcia-Garcia , I. Gil , M. F. Portillo , and M. Sorolla , “ Equivalent-circuit models for split-ring resonators and complementary split-ring resonators coupled to planar transmission lines ,” IEEE Trans. Microw. Theory Tech.   53 , 1451 ( 2005 ).
[Crossref]

Gay-Balmaz, Philippe

Philippe Gay-Balmaz and Olivier J. F. Martin , “ Electromagnetic resonances in individual and coupled split-ring resonators ,” J. Appl. Phys.   92 , 2929 ( 2002 )
[Crossref]

Philippe Gay-Balmaz and Olivier J. F. Martin , “ Efficient isotropic magnetic resonators ,” Appl. Phys. Lett.   81 , 939 ( 2002 )
[Crossref]

Gil, I.

J.D. Baena , J. Bonache , F. Martin , R. M. Sillero , F. Falcone , T. Lopetegi , M.A.G. Laso , J. Garcia-Garcia , I. Gil , M. F. Portillo , and M. Sorolla , “ Equivalent-circuit models for split-ring resonators and complementary split-ring resonators coupled to planar transmission lines ,” IEEE Trans. Microw. Theory Tech.   53 , 1451 ( 2005 ).
[Crossref]

Greegor, R. B.

C. G. Parazzoli , R. B. Greegor , K. Li , B. E. C. Koltenbah , and M. Tanielian , “ Experimental Verification and Simulation of Negative Index of Refraction Using Snell’s Law ,” Phys. Rev. Lett.   90 , 107401 ( 2003 ).
[Crossref] [PubMed]

Grzegorczyk, T. M.

L. Ran , J. Huangfu , H. Chen , X. Zhang , K. Chen , T. M. Grzegorczyk , and J. A. Kong , “ Beam shifting experiment for the characterization of left-handed properties ,” J. Appl. Phys.   95 , 2238 ( 2004 ).
[Crossref]

Grzegorczyk, Tomasz M.

Xudong Chen , Bae-Ian Wu , Jin Au Kong , and Tomasz M. Grzegorczyk , “ Retrieval of the effective constitutive parameters of bianisotropic metamaterials ,” Phys. Rev. E   71 , 046610 ( 2005 )
[Crossref]

Xudong Chen , Tomasz M. Grzegorczyk , Bae-Ian Wu , Joe Pacheco , and Jin Au Kong , “ Robust method to retrieve the constitutive effective parameters of metamaterials ,” Phys. Rev. E   70 , 016608 ( 2004 )
[Crossref]

Guenneau, S.

A. B. Movchan and S. Guenneau , “ Split-ring resonators and localized modes ,” Phys. Rev. B   70 , 125116 ( 2004 )
[Crossref]

C. Poulton , S. Guenneau , and A. B. Movchan , “ Noncommuting limits and effective properties for oblique propagation of electromagnetic waves through an array of aligned fibres ,” Phys. Rev B   69 , 195112 , ( 2004 ).
[Crossref]

Guven, K.

K. Guven , K. Aydin , K. B. Alici , C. M. Soukoulis , and E. Ozbay , “ Spectral negative refraction and focusing analysis of a two-dimensional left-handed photonic crystal lens ,” Phys. Rev. B   70 , 205125 ( 2004 ).
[Crossref]

Guven, Kaan

Koray Aydin , Kaan Guven , Costas M. Soukoulis , and Ekmel Ozbay , “ Observation of negative refraction and negative phase velocity in left-handed metamaterials ,” Appl. Phys. Lett.   86 , 124102 ( 2005 ).
[Crossref]

Koray Aydin , Kaan Guven , Maria Kafesaki , Lei Zhang , Costas M. Soukoulis , and Ekmel Ozbay , “ Experimental observation of true left-handed transmission peaks in metamaterials ,” Opt. Lett.   29 , 2623 ( 2004 )
[Crossref] [PubMed]

Holden, A. J.

J. B. Pendry , A. J. Holden , D. J. Robins , and W. J. Stewart , “ Magnetism from conductors and enhanced nonlinear phenomena ,” IEEE Trans. Microwave Theory Technol.   47 , 2075 ( 1999 ).
[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] [PubMed]

Houck, A. A.

A. A. Houck , J. B. Brock , and I. L. Chuang , “ Experimental Observations of a Left-Handed Material That Obeys Snell’s Law ,” Phys. Rev. Lett.   90 , 137401 ( 2003 )
[Crossref] [PubMed]

Houck, Andrew A.

Andrew A. Houck , Jeffrey B. Brock , and Isaac L. Chuang , “ Experimental Observations of a Left-Handed Material That Obeys Snell’s Law ,” Phys. Rev. Lett.   90 , 137401 ( 2003 )
[Crossref] [PubMed]

Hsu, Yi-Jang

Yi-Jang Hsu , Yen-Chun Huang , Jiann-Shing Lih , and Jyh-Long Chern , “ Electromagnetic resonance in deformed split ring resonators of left-handed meta-materials ,” J. Appl. Phys.   96 , 1979 ( 2004 )
[Crossref]

Yen-Chun Huang , Yi-Jang Hsu , Jiann-Shing Lih , and Jyh-Long Chern , “ Transmission Characteristics of Deformed Split-Ring Resonators ,” Jpn. J. Appl. Phys. , Part 2   43 , L190 ( 2004 )
[Crossref]

Huang, Yen-Chun

Yen-Chun Huang , Yi-Jang Hsu , Jiann-Shing Lih , and Jyh-Long Chern , “ Transmission Characteristics of Deformed Split-Ring Resonators ,” Jpn. J. Appl. Phys. , Part 2   43 , L190 ( 2004 )
[Crossref]

Yi-Jang Hsu , Yen-Chun Huang , Jiann-Shing Lih , and Jyh-Long Chern , “ Electromagnetic resonance in deformed split ring resonators of left-handed meta-materials ,” J. Appl. Phys.   96 , 1979 ( 2004 )
[Crossref]

Huangfu, J.

L. Ran , J. Huangfu , H. Chen , X. Zhang , K. Chen , T. M. Grzegorczyk , and J. A. Kong , “ Beam shifting experiment for the characterization of left-handed properties ,” J. Appl. Phys.   95 , 2238 ( 2004 ).
[Crossref]

Kafesaki, M.

T. Koschny , M. Kafesaki , E. N. Economou , and C. M. Soukoulis , “ Effective Medium Theory of Left-Handed Materials ,” Phys. Rev. Lett.   93 , 107402 ( 2004 )
[Crossref] [PubMed]

N. Katsarakis , T. Koschny , M. Kafesaki , E. N. Economou , and C. M. Soukoulis , “ Electric coupling to the magnetic resonance of split ring resonators ,” Appl. Phys. Lett.   84 , 2943 ( 2004 )
[Crossref]

Kafesaki, Maria

Kalinin, V.

M. Shamonin , E. Shamonina , V. Kalinin , and L. Solymar , “ Properties of a metamaterial element: Analytical solutions and numerical simulations for a singly split double ring ,” J. Appl. Phys.   95 , 3778 ( 2004 )
[Crossref]

Katsarakis, N.

N. Katsarakis , T. Koschny , M. Kafesaki , E. N. Economou , and C. M. Soukoulis , “ Electric coupling to the magnetic resonance of split ring resonators ,” Appl. Phys. Lett.   84 , 2943 ( 2004 )
[Crossref]

Koltenbah, B. E. C.

C. G. Parazzoli , R. B. Greegor , K. Li , B. E. C. Koltenbah , and M. Tanielian , “ Experimental Verification and Simulation of Negative Index of Refraction Using Snell’s Law ,” Phys. Rev. Lett.   90 , 107401 ( 2003 ).
[Crossref] [PubMed]

Kong, J. A.

L. Ran , J. Huangfu , H. Chen , X. Zhang , K. Chen , T. M. Grzegorczyk , and J. A. Kong , “ Beam shifting experiment for the characterization of left-handed properties ,” J. Appl. Phys.   95 , 2238 ( 2004 ).
[Crossref]

Kong, Jin Au

Xudong Chen , Bae-Ian Wu , Jin Au Kong , and Tomasz M. Grzegorczyk , “ Retrieval of the effective constitutive parameters of bianisotropic metamaterials ,” Phys. Rev. E   71 , 046610 ( 2005 )
[Crossref]

Koschny, T.

T. Koschny , M. Kafesaki , E. N. Economou , and C. M. Soukoulis , “ Effective Medium Theory of Left-Handed Materials ,” Phys. Rev. Lett.   93 , 107402 ( 2004 )
[Crossref] [PubMed]

N. Katsarakis , T. Koschny , M. Kafesaki , E. N. Economou , and C. M. Soukoulis , “ Electric coupling to the magnetic resonance of split ring resonators ,” Appl. Phys. Lett.   84 , 2943 ( 2004 )
[Crossref]

T. Koschny , P. Markos , D. R. Smith , and C. M. Soukoulis , “ Resonant and antiresonant frequency dependence of the effective parameters of metamaterials ,” Phys. Rev. E   68 , 065602 ( 2003 )
[Crossref]

Koschny, Th.

Th. Koschny , P. Markos , E. N. Economou , D. R. Smith , D. C. Vier , and C. M. Soukoulis , “ Impact of inherent periodic structure on effective medium description of left-handed and related metamaterials ,” Phys. Rev. B   71 , 245105 ( 2005 )
[Crossref]

Kroll, N.

D. R. Smith , D. C. Vier , N. Kroll , and S. Schultz , “ Direct calculation of permeability and permittivity for a left-handed metamaterial ,” Appl. Phys. Lett.   77 , 2246 ( 2000 ).
[Crossref]

Laso, M.A.G.

J.D. Baena , J. Bonache , F. Martin , R. M. Sillero , F. Falcone , T. Lopetegi , M.A.G. Laso , J. Garcia-Garcia , I. Gil , M. F. Portillo , and M. Sorolla , “ Equivalent-circuit models for split-ring resonators and complementary split-ring resonators coupled to planar transmission lines ,” IEEE Trans. Microw. Theory Tech.   53 , 1451 ( 2005 ).
[Crossref]

Li, K.

C. G. Parazzoli , R. B. Greegor , K. Li , B. E. C. Koltenbah , and M. Tanielian , “ Experimental Verification and Simulation of Negative Index of Refraction Using Snell’s Law ,” Phys. Rev. Lett.   90 , 107401 ( 2003 ).
[Crossref] [PubMed]

Lih, Jiann-Shing

Yi-Jang Hsu , Yen-Chun Huang , Jiann-Shing Lih , and Jyh-Long Chern , “ Electromagnetic resonance in deformed split ring resonators of left-handed meta-materials ,” J. Appl. Phys.   96 , 1979 ( 2004 )
[Crossref]

Yen-Chun Huang , Yi-Jang Hsu , Jiann-Shing Lih , and Jyh-Long Chern , “ Transmission Characteristics of Deformed Split-Ring Resonators ,” Jpn. J. Appl. Phys. , Part 2   43 , L190 ( 2004 )
[Crossref]

Liu, H.

Z. G. Dong , S. N. Zhu , H. Liu , J. Zhu , and W. Cao , “ Numerical simulations of negative-index refraction in wedge-shaped metamaterials ,” Phys. Rev. E   72 , 016607 ( 2005 )
[Crossref]

Lopetegi, T.

J.D. Baena , J. Bonache , F. Martin , R. M. Sillero , F. Falcone , T. Lopetegi , M.A.G. Laso , J. Garcia-Garcia , I. Gil , M. F. Portillo , and M. Sorolla , “ Equivalent-circuit models for split-ring resonators and complementary split-ring resonators coupled to planar transmission lines ,” IEEE Trans. Microw. Theory Tech.   53 , 1451 ( 2005 ).
[Crossref]

Marko, P.

Mehmet Bayindir , K. Aydin , E. Ozbay , P. Marko , and C. M. Soukoulis , “ Transmission properties of composite metamaterials in free space ,” Appl. Phys. Lett.   81 , 120 ( 2002 )
[Crossref]

Markos, P.

Th. Koschny , P. Markos , E. N. Economou , D. R. Smith , D. C. Vier , and C. M. Soukoulis , “ Impact of inherent periodic structure on effective medium description of left-handed and related metamaterials ,” Phys. Rev. B   71 , 245105 ( 2005 )
[Crossref]

T. Koschny , P. Markos , D. R. Smith , and C. M. Soukoulis , “ Resonant and antiresonant frequency dependence of the effective parameters of metamaterials ,” Phys. Rev. E   68 , 065602 ( 2003 )
[Crossref]

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

P. Markos and C. M. Soukoulis , “ Transmission studies of left-handed materials ,” Phys. Rev. B   65 , 033401 ( 2001 )
[Crossref]

Marques, R.

R. Marques , F. Mesa , J. Martel , and F. Medina , “ Comparative analysis of edge- and broadside- coupled split ring resonators for metamaterial design - theory and experiments ,” IEEE Trans. Antennas Propag.   51 , 2572 ( 2003 ).
[Crossref]

R. Marques , F. Medina , and R. Rafii-El-Idrissi , “ Role of bianisotropy in negative permeability and left-handed metamaterials ,” Phys. Rev. B   65 , 144440 ( 2002 ).
[Crossref]

R. Marques , J. Martel , F. Mesa , and F. Medina , “ Left-Handed-Media Simulation and Transmission of EM Waves in Subwavelength Split-Ring-Resonator-Loaded Metallic Waveguides ,” Phys. Rev. Lett.   89 , 183901 ( 2002 )
[Crossref] [PubMed]

R. Marques , F. Medina , and R. Rafii-El-Idrissi , Comment on “ Electromagnetic resonances in individual and coupled split-ring resonators ” [ J. Appl. Phys.   92 , 2929 ( 2002 )] J. Appl. Phys.   94 , 2770 ( 2003 )
[Crossref]

Martel, J.

R. Marques , F. Mesa , J. Martel , and F. Medina , “ Comparative analysis of edge- and broadside- coupled split ring resonators for metamaterial design - theory and experiments ,” IEEE Trans. Antennas Propag.   51 , 2572 ( 2003 ).
[Crossref]

R. Marques , J. Martel , F. Mesa , and F. Medina , “ Left-Handed-Media Simulation and Transmission of EM Waves in Subwavelength Split-Ring-Resonator-Loaded Metallic Waveguides ,” Phys. Rev. Lett.   89 , 183901 ( 2002 )
[Crossref] [PubMed]

Martin, F.

J.D. Baena , J. Bonache , F. Martin , R. M. Sillero , F. Falcone , T. Lopetegi , M.A.G. Laso , J. Garcia-Garcia , I. Gil , M. F. Portillo , and M. Sorolla , “ Equivalent-circuit models for split-ring resonators and complementary split-ring resonators coupled to planar transmission lines ,” IEEE Trans. Microw. Theory Tech.   53 , 1451 ( 2005 ).
[Crossref]

Martin, Olivier J. F.

Philippe Gay-Balmaz and Olivier J. F. Martin , “ Electromagnetic resonances in individual and coupled split-ring resonators ,” J. Appl. Phys.   92 , 2929 ( 2002 )
[Crossref]

Philippe Gay-Balmaz and Olivier J. F. Martin , “ Efficient isotropic magnetic resonators ,” Appl. Phys. Lett.   81 , 939 ( 2002 )
[Crossref]

Maslovski, S.I.

S.I. Maslovski , S.A. Tretyakov , and P.A. Belov , “ Wire media with negative effective permittivity: A quasi-static model ,” Microwave Opt. Technol. Lett.   35 , 47 ( 2002 ).
[Crossref]

Medina, F.

R. Marques , F. Mesa , J. Martel , and F. Medina , “ Comparative analysis of edge- and broadside- coupled split ring resonators for metamaterial design - theory and experiments ,” IEEE Trans. Antennas Propag.   51 , 2572 ( 2003 ).
[Crossref]

R. Marques , F. Medina , and R. Rafii-El-Idrissi , “ Role of bianisotropy in negative permeability and left-handed metamaterials ,” Phys. Rev. B   65 , 144440 ( 2002 ).
[Crossref]

R. Marques , J. Martel , F. Mesa , and F. Medina , “ Left-Handed-Media Simulation and Transmission of EM Waves in Subwavelength Split-Ring-Resonator-Loaded Metallic Waveguides ,” Phys. Rev. Lett.   89 , 183901 ( 2002 )
[Crossref] [PubMed]

R. Marques , F. Medina , and R. Rafii-El-Idrissi , Comment on “ Electromagnetic resonances in individual and coupled split-ring resonators ” [ J. Appl. Phys.   92 , 2929 ( 2002 )] J. Appl. Phys.   94 , 2770 ( 2003 )
[Crossref]

Mesa, F.

R. Marques , F. Mesa , J. Martel , and F. Medina , “ Comparative analysis of edge- and broadside- coupled split ring resonators for metamaterial design - theory and experiments ,” IEEE Trans. Antennas Propag.   51 , 2572 ( 2003 ).
[Crossref]

R. Marques , J. Martel , F. Mesa , and F. Medina , “ Left-Handed-Media Simulation and Transmission of EM Waves in Subwavelength Split-Ring-Resonator-Loaded Metallic Waveguides ,” Phys. Rev. Lett.   89 , 183901 ( 2002 )
[Crossref] [PubMed]

Movchan, A. B.

C. Poulton , S. Guenneau , and A. B. Movchan , “ Noncommuting limits and effective properties for oblique propagation of electromagnetic waves through an array of aligned fibres ,” Phys. Rev B   69 , 195112 , ( 2004 ).
[Crossref]

A. B. Movchan and S. Guenneau , “ Split-ring resonators and localized modes ,” Phys. Rev. B   70 , 125116 ( 2004 )
[Crossref]

Nemat-Nasser, S. C.

D. R. Smith , Willie 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 ( 2000 )
[Crossref] [PubMed]

Ozbay, E.

K. Guven , K. Aydin , K. B. Alici , C. M. Soukoulis , and E. Ozbay , “ Spectral negative refraction and focusing analysis of a two-dimensional left-handed photonic crystal lens ,” Phys. Rev. B   70 , 205125 ( 2004 ).
[Crossref]

Mehmet Bayindir , K. Aydin , E. Ozbay , P. Marko , and C. M. Soukoulis , “ Transmission properties of composite metamaterials in free space ,” Appl. Phys. Lett.   81 , 120 ( 2002 )
[Crossref]

Ozbay, Ekmel

Koray Aydin , Kaan Guven , Costas M. Soukoulis , and Ekmel Ozbay , “ Observation of negative refraction and negative phase velocity in left-handed metamaterials ,” Appl. Phys. Lett.   86 , 124102 ( 2005 ).
[Crossref]

Koray Aydin , Kaan Guven , Maria Kafesaki , Lei Zhang , Costas M. Soukoulis , and Ekmel Ozbay , “ Experimental observation of true left-handed transmission peaks in metamaterials ,” Opt. Lett.   29 , 2623 ( 2004 )
[Crossref] [PubMed]

Pacheco, Joe

Xudong Chen , Tomasz M. Grzegorczyk , Bae-Ian Wu , Joe Pacheco , and Jin Au Kong , “ Robust method to retrieve the constitutive effective parameters of metamaterials ,” Phys. Rev. E   70 , 016608 ( 2004 )
[Crossref]

Padilla, Willie J.

D. R. Smith , Willie 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 ( 2000 )
[Crossref] [PubMed]

Parazzoli, C. G.

C. G. Parazzoli , R. B. Greegor , K. Li , B. E. C. Koltenbah , and M. Tanielian , “ Experimental Verification and Simulation of Negative Index of Refraction Using Snell’s Law ,” Phys. Rev. Lett.   90 , 107401 ( 2003 ).
[Crossref] [PubMed]

Pendry, J. B.

J. B. Pendry , A. J. Holden , D. J. Robins , and W. J. Stewart , “ Magnetism from conductors and enhanced nonlinear phenomena ,” IEEE Trans. Microwave Theory Technol.   47 , 2075 ( 1999 ).
[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] [PubMed]

Portillo, M. F.

J.D. Baena , J. Bonache , F. Martin , R. M. Sillero , F. Falcone , T. Lopetegi , M.A.G. Laso , J. Garcia-Garcia , I. Gil , M. F. Portillo , and M. Sorolla , “ Equivalent-circuit models for split-ring resonators and complementary split-ring resonators coupled to planar transmission lines ,” IEEE Trans. Microw. Theory Tech.   53 , 1451 ( 2005 ).
[Crossref]

Poulton, C.

C. Poulton , S. Guenneau , and A. B. Movchan , “ Noncommuting limits and effective properties for oblique propagation of electromagnetic waves through an array of aligned fibres ,” Phys. Rev B   69 , 195112 , ( 2004 ).
[Crossref]

Rafii-El-Idrissi, R.

R. Marques , F. Medina , and R. Rafii-El-Idrissi , “ Role of bianisotropy in negative permeability and left-handed metamaterials ,” Phys. Rev. B   65 , 144440 ( 2002 ).
[Crossref]

R. Marques , F. Medina , and R. Rafii-El-Idrissi , Comment on “ Electromagnetic resonances in individual and coupled split-ring resonators ” [ J. Appl. Phys.   92 , 2929 ( 2002 )] J. Appl. Phys.   94 , 2770 ( 2003 )
[Crossref]

Ran, L.

L. Ran , J. Huangfu , H. Chen , X. Zhang , K. Chen , T. M. Grzegorczyk , and J. A. Kong , “ Beam shifting experiment for the characterization of left-handed properties ,” J. Appl. Phys.   95 , 2238 ( 2004 ).
[Crossref]

Robins, D. J.

J. B. Pendry , A. J. Holden , D. J. Robins , and W. J. Stewart , “ Magnetism from conductors and enhanced nonlinear phenomena ,” IEEE Trans. Microwave Theory Technol.   47 , 2075 ( 1999 ).
[Crossref]

Sauviac, B.

C. R. Simovski and B. Sauviac , “ Role of wave interaction of wires and split-ring resonators for the losses in a left-handed composite ,” Phys. Rev. E   70 , 046607 ( 2004 )
[Crossref]

B. Sauviac , C.R. Simovski , and S.A. Tretyakov , “ Double split-ring resonators: Analytical modeling and numerical simulations ,” Electromagnetics   24 , 317 ( 2004 ).
[Crossref]

Schultz, S.

D. R. Smith , S. Schultz , P. Markos , 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 ( 2001 ).
[Crossref] [PubMed]

D. R. Smith , Willie 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 ( 2000 )
[Crossref] [PubMed]

D. R. Smith , D. C. Vier , N. Kroll , and S. Schultz , “ Direct calculation of permeability and permittivity for a left-handed metamaterial ,” Appl. Phys. Lett.   77 , 2246 ( 2000 ).
[Crossref]

Shamonin, M.

M. Shamonin , E. Shamonina , V. Kalinin , and L. Solymar , “ Properties of a metamaterial element: Analytical solutions and numerical simulations for a singly split double ring ,” J. Appl. Phys.   95 , 3778 ( 2004 )
[Crossref]

Shamonina, E.

M. Shamonin , E. Shamonina , V. Kalinin , and L. Solymar , “ Properties of a metamaterial element: Analytical solutions and numerical simulations for a singly split double ring ,” J. Appl. Phys.   95 , 3778 ( 2004 )
[Crossref]

Shelby, R. A.

R. A. Shelby , D. R. Smith , and S. Schultz , “ Experimental Verification of a Negative Index of Refraction ,” Science   292 , 77 ( 2001 ).
[Crossref] [PubMed]

Sickmiller, M. E.

D. F. Sievenpiper , M. E. Sickmiller , and E. Yablonovitch , “ 3D Wire Mesh Photonic Crystals ,” Phys. Rev. Lett.   76 , 2480 ( 1996 ).
[Crossref] [PubMed]

Sievenpiper, D. F.

D. F. Sievenpiper , M. E. Sickmiller , and E. Yablonovitch , “ 3D Wire Mesh Photonic Crystals ,” Phys. Rev. Lett.   76 , 2480 ( 1996 ).
[Crossref] [PubMed]

Sillero, R. M.

J.D. Baena , J. Bonache , F. Martin , R. M. Sillero , F. Falcone , T. Lopetegi , M.A.G. Laso , J. Garcia-Garcia , I. Gil , M. F. Portillo , and M. Sorolla , “ Equivalent-circuit models for split-ring resonators and complementary split-ring resonators coupled to planar transmission lines ,” IEEE Trans. Microw. Theory Tech.   53 , 1451 ( 2005 ).
[Crossref]

Simovski, C. R.

C. R. Simovski and B. Sauviac , “ Role of wave interaction of wires and split-ring resonators for the losses in a left-handed composite ,” Phys. Rev. E   70 , 046607 ( 2004 )
[Crossref]

Simovski, C.R.

B. Sauviac , C.R. Simovski , and S.A. Tretyakov , “ Double split-ring resonators: Analytical modeling and numerical simulations ,” Electromagnetics   24 , 317 ( 2004 ).
[Crossref]

Smith, D. R.

Th. Koschny , P. Markos , E. N. Economou , D. R. Smith , D. C. Vier , and C. M. Soukoulis , “ Impact of inherent periodic structure on effective medium description of left-handed and related metamaterials ,” Phys. Rev. B   71 , 245105 ( 2005 )
[Crossref]

T. Koschny , P. Markos , D. R. Smith , and C. M. Soukoulis , “ Resonant and antiresonant frequency dependence of the effective parameters of metamaterials ,” Phys. Rev. E   68 , 065602 ( 2003 )
[Crossref]

D. R. Smith , S. Schultz , P. Markos , 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 ( 2001 ).
[Crossref] [PubMed]

D. R. Smith , D. C. Vier , N. Kroll , and S. Schultz , “ Direct calculation of permeability and permittivity for a left-handed metamaterial ,” Appl. Phys. Lett.   77 , 2246 ( 2000 ).
[Crossref]

D. R. Smith , Willie 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 ( 2000 )
[Crossref] [PubMed]

Solymar, L.

M. Shamonin , E. Shamonina , V. Kalinin , and L. Solymar , “ Properties of a metamaterial element: Analytical solutions and numerical simulations for a singly split double ring ,” J. Appl. Phys.   95 , 3778 ( 2004 )
[Crossref]

Sorolla, M.

J.D. Baena , J. Bonache , F. Martin , R. M. Sillero , F. Falcone , T. Lopetegi , M.A.G. Laso , J. Garcia-Garcia , I. Gil , M. F. Portillo , and M. Sorolla , “ Equivalent-circuit models for split-ring resonators and complementary split-ring resonators coupled to planar transmission lines ,” IEEE Trans. Microw. Theory Tech.   53 , 1451 ( 2005 ).
[Crossref]

Soukoulis, C. M.

Th. Koschny , P. Markos , E. N. Economou , D. R. Smith , D. C. Vier , and C. M. Soukoulis , “ Impact of inherent periodic structure on effective medium description of left-handed and related metamaterials ,” Phys. Rev. B   71 , 245105 ( 2005 )
[Crossref]

K. Guven , K. Aydin , K. B. Alici , C. M. Soukoulis , and E. Ozbay , “ Spectral negative refraction and focusing analysis of a two-dimensional left-handed photonic crystal lens ,” Phys. Rev. B   70 , 205125 ( 2004 ).
[Crossref]

T. Koschny , M. Kafesaki , E. N. Economou , and C. M. Soukoulis , “ Effective Medium Theory of Left-Handed Materials ,” Phys. Rev. Lett.   93 , 107402 ( 2004 )
[Crossref] [PubMed]

N. Katsarakis , T. Koschny , M. Kafesaki , E. N. Economou , and C. M. Soukoulis , “ Electric coupling to the magnetic resonance of split ring resonators ,” Appl. Phys. Lett.   84 , 2943 ( 2004 )
[Crossref]

T. Koschny , P. Markos , D. R. Smith , and C. M. Soukoulis , “ Resonant and antiresonant frequency dependence of the effective parameters of metamaterials ,” Phys. Rev. E   68 , 065602 ( 2003 )
[Crossref]

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

Mehmet Bayindir , K. Aydin , E. Ozbay , P. Marko , and C. M. Soukoulis , “ Transmission properties of composite metamaterials in free space ,” Appl. Phys. Lett.   81 , 120 ( 2002 )
[Crossref]

P. Markos and C. M. Soukoulis , “ Transmission studies of left-handed materials ,” Phys. Rev. B   65 , 033401 ( 2001 )
[Crossref]

Soukoulis, Costas M.

Koray Aydin , Kaan Guven , Costas M. Soukoulis , and Ekmel Ozbay , “ Observation of negative refraction and negative phase velocity in left-handed metamaterials ,” Appl. Phys. Lett.   86 , 124102 ( 2005 ).
[Crossref]

Koray Aydin , Kaan Guven , Maria Kafesaki , Lei Zhang , Costas M. Soukoulis , and Ekmel Ozbay , “ Experimental observation of true left-handed transmission peaks in metamaterials ,” Opt. Lett.   29 , 2623 ( 2004 )
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J. B. Pendry , A. J. Holden , D. J. Robins , and W. J. Stewart , “ Magnetism from conductors and enhanced nonlinear phenomena ,” IEEE Trans. Microwave Theory Technol.   47 , 2075 ( 1999 ).
[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] [PubMed]

Tanielian, M.

C. G. Parazzoli , R. B. Greegor , K. Li , B. E. C. Koltenbah , and M. Tanielian , “ Experimental Verification and Simulation of Negative Index of Refraction Using Snell’s Law ,” Phys. Rev. Lett.   90 , 107401 ( 2003 ).
[Crossref] [PubMed]

Tretyakov, S.A.

B. Sauviac , C.R. Simovski , and S.A. Tretyakov , “ Double split-ring resonators: Analytical modeling and numerical simulations ,” Electromagnetics   24 , 317 ( 2004 ).
[Crossref]

S.I. Maslovski , S.A. Tretyakov , and P.A. Belov , “ Wire media with negative effective permittivity: A quasi-static model ,” Microwave Opt. Technol. Lett.   35 , 47 ( 2002 ).
[Crossref]

Veselago, V. G.

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

Vier, D. C.

Th. Koschny , P. Markos , E. N. Economou , D. R. Smith , D. C. Vier , and C. M. Soukoulis , “ Impact of inherent periodic structure on effective medium description of left-handed and related metamaterials ,” Phys. Rev. B   71 , 245105 ( 2005 )
[Crossref]

D. R. Smith , D. C. Vier , N. Kroll , and S. Schultz , “ Direct calculation of permeability and permittivity for a left-handed metamaterial ,” Appl. Phys. Lett.   77 , 2246 ( 2000 ).
[Crossref]

D. R. Smith , Willie 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 ( 2000 )
[Crossref] [PubMed]

Wu, Bae-Ian

Xudong Chen , Bae-Ian Wu , Jin Au Kong , and Tomasz M. Grzegorczyk , “ Retrieval of the effective constitutive parameters of bianisotropic metamaterials ,” Phys. Rev. E   71 , 046610 ( 2005 )
[Crossref]

Xudong Chen , Tomasz M. Grzegorczyk , Bae-Ian Wu , Joe Pacheco , and Jin Au Kong , “ Robust method to retrieve the constitutive effective parameters of metamaterials ,” Phys. Rev. E   70 , 016608 ( 2004 )
[Crossref]

Yablonovitch, E.

D. F. Sievenpiper , M. E. Sickmiller , and E. Yablonovitch , “ 3D Wire Mesh Photonic Crystals ,” Phys. Rev. Lett.   76 , 2480 ( 1996 ).
[Crossref] [PubMed]

Youngs, I.

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] [PubMed]

Zhang, Lei

Zhang, X.

L. Ran , J. Huangfu , H. Chen , X. Zhang , K. Chen , T. M. Grzegorczyk , and J. A. Kong , “ Beam shifting experiment for the characterization of left-handed properties ,” J. Appl. Phys.   95 , 2238 ( 2004 ).
[Crossref]

Zhu, J.

Z. G. Dong , S. N. Zhu , H. Liu , J. Zhu , and W. Cao , “ Numerical simulations of negative-index refraction in wedge-shaped metamaterials ,” Phys. Rev. E   72 , 016607 ( 2005 )
[Crossref]

Zhu, S. N.

Z. G. Dong , S. N. Zhu , H. Liu , J. Zhu , and W. Cao , “ Numerical simulations of negative-index refraction in wedge-shaped metamaterials ,” Phys. Rev. E   72 , 016607 ( 2005 )
[Crossref]

Appl. Phys. Lett. (5)

Mehmet Bayindir , K. Aydin , E. Ozbay , P. Marko , and C. M. Soukoulis , “ Transmission properties of composite metamaterials in free space ,” Appl. Phys. Lett.   81 , 120 ( 2002 )
[Crossref]

Philippe Gay-Balmaz and Olivier J. F. Martin , “ Efficient isotropic magnetic resonators ,” Appl. Phys. Lett.   81 , 939 ( 2002 )
[Crossref]

D. R. Smith , D. C. Vier , N. Kroll , and S. Schultz , “ Direct calculation of permeability and permittivity for a left-handed metamaterial ,” Appl. Phys. Lett.   77 , 2246 ( 2000 ).
[Crossref]

Koray Aydin , Kaan Guven , Costas M. Soukoulis , and Ekmel Ozbay , “ Observation of negative refraction and negative phase velocity in left-handed metamaterials ,” Appl. Phys. Lett.   86 , 124102 ( 2005 ).
[Crossref]

N. Katsarakis , T. Koschny , M. Kafesaki , E. N. Economou , and C. M. Soukoulis , “ Electric coupling to the magnetic resonance of split ring resonators ,” Appl. Phys. Lett.   84 , 2943 ( 2004 )
[Crossref]

Electromagnetics (1)

B. Sauviac , C.R. Simovski , and S.A. Tretyakov , “ Double split-ring resonators: Analytical modeling and numerical simulations ,” Electromagnetics   24 , 317 ( 2004 ).
[Crossref]

IEEE Trans. Antennas Propag. (1)

R. Marques , F. Mesa , J. Martel , and F. Medina , “ Comparative analysis of edge- and broadside- coupled split ring resonators for metamaterial design - theory and experiments ,” IEEE Trans. Antennas Propag.   51 , 2572 ( 2003 ).
[Crossref]

IEEE Trans. Microw. Theory Tech. (1)

J.D. Baena , J. Bonache , F. Martin , R. M. Sillero , F. Falcone , T. Lopetegi , M.A.G. Laso , J. Garcia-Garcia , I. Gil , M. F. Portillo , and M. Sorolla , “ Equivalent-circuit models for split-ring resonators and complementary split-ring resonators coupled to planar transmission lines ,” IEEE Trans. Microw. Theory Tech.   53 , 1451 ( 2005 ).
[Crossref]

IEEE Trans. Microwave Theory Technol. (1)

J. B. Pendry , A. J. Holden , D. J. Robins , and W. J. Stewart , “ Magnetism from conductors and enhanced nonlinear phenomena ,” IEEE Trans. Microwave Theory Technol.   47 , 2075 ( 1999 ).
[Crossref]

J. Appl. Phys. (5)

Philippe Gay-Balmaz and Olivier J. F. Martin , “ Electromagnetic resonances in individual and coupled split-ring resonators ,” J. Appl. Phys.   92 , 2929 ( 2002 )
[Crossref]

Yi-Jang Hsu , Yen-Chun Huang , Jiann-Shing Lih , and Jyh-Long Chern , “ Electromagnetic resonance in deformed split ring resonators of left-handed meta-materials ,” J. Appl. Phys.   96 , 1979 ( 2004 )
[Crossref]

M. Shamonin , E. Shamonina , V. Kalinin , and L. Solymar , “ Properties of a metamaterial element: Analytical solutions and numerical simulations for a singly split double ring ,” J. Appl. Phys.   95 , 3778 ( 2004 )
[Crossref]

R. Marques , F. Medina , and R. Rafii-El-Idrissi , Comment on “ Electromagnetic resonances in individual and coupled split-ring resonators ” [ J. Appl. Phys.   92 , 2929 ( 2002 )] J. Appl. Phys.   94 , 2770 ( 2003 )
[Crossref]

L. Ran , J. Huangfu , H. Chen , X. Zhang , K. Chen , T. M. Grzegorczyk , and J. A. Kong , “ Beam shifting experiment for the characterization of left-handed properties ,” J. Appl. Phys.   95 , 2238 ( 2004 ).
[Crossref]

Jpn. J. Appl. Phys. (1)

Yen-Chun Huang , Yi-Jang Hsu , Jiann-Shing Lih , and Jyh-Long Chern , “ Transmission Characteristics of Deformed Split-Ring Resonators ,” Jpn. J. Appl. Phys. , Part 2   43 , L190 ( 2004 )
[Crossref]

Microwave Opt. Technol. Lett. (1)

S.I. Maslovski , S.A. Tretyakov , and P.A. Belov , “ Wire media with negative effective permittivity: A quasi-static model ,” Microwave Opt. Technol. Lett.   35 , 47 ( 2002 ).
[Crossref]

Opt. Lett. (1)

Phys. Rev B (1)

C. Poulton , S. Guenneau , and A. B. Movchan , “ Noncommuting limits and effective properties for oblique propagation of electromagnetic waves through an array of aligned fibres ,” Phys. Rev B   69 , 195112 , ( 2004 ).
[Crossref]

Phys. Rev. B (6)

P. Markos and C. M. Soukoulis , “ Transmission studies of left-handed materials ,” Phys. Rev. B   65 , 033401 ( 2001 )
[Crossref]

A. B. Movchan and S. Guenneau , “ Split-ring resonators and localized modes ,” Phys. Rev. B   70 , 125116 ( 2004 )
[Crossref]

D. R. Smith , S. Schultz , P. Markos , 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. Marques , F. Medina , and R. Rafii-El-Idrissi , “ Role of bianisotropy in negative permeability and left-handed metamaterials ,” Phys. Rev. B   65 , 144440 ( 2002 ).
[Crossref]

K. Guven , K. Aydin , K. B. Alici , C. M. Soukoulis , and E. Ozbay , “ Spectral negative refraction and focusing analysis of a two-dimensional left-handed photonic crystal lens ,” Phys. Rev. B   70 , 205125 ( 2004 ).
[Crossref]

Th. Koschny , P. Markos , E. N. Economou , D. R. Smith , D. C. Vier , and C. M. Soukoulis , “ Impact of inherent periodic structure on effective medium description of left-handed and related metamaterials ,” Phys. Rev. B   71 , 245105 ( 2005 )
[Crossref]

Phys. Rev. E (5)

T. Koschny , P. Markos , D. R. Smith , and C. M. Soukoulis , “ Resonant and antiresonant frequency dependence of the effective parameters of metamaterials ,” Phys. Rev. E   68 , 065602 ( 2003 )
[Crossref]

Z. G. Dong , S. N. Zhu , H. Liu , J. Zhu , and W. Cao , “ Numerical simulations of negative-index refraction in wedge-shaped metamaterials ,” Phys. Rev. E   72 , 016607 ( 2005 )
[Crossref]

Xudong Chen , Tomasz M. Grzegorczyk , Bae-Ian Wu , Joe Pacheco , and Jin Au Kong , “ Robust method to retrieve the constitutive effective parameters of metamaterials ,” Phys. Rev. E   70 , 016608 ( 2004 )
[Crossref]

Xudong Chen , Bae-Ian Wu , Jin Au Kong , and Tomasz M. Grzegorczyk , “ Retrieval of the effective constitutive parameters of bianisotropic metamaterials ,” Phys. Rev. E   71 , 046610 ( 2005 )
[Crossref]

C. R. Simovski and B. Sauviac , “ Role of wave interaction of wires and split-ring resonators for the losses in a left-handed composite ,” Phys. Rev. E   70 , 046607 ( 2004 )
[Crossref]

Phys. Rev. Lett. (8)

T. Koschny , M. Kafesaki , E. N. Economou , and C. M. Soukoulis , “ Effective Medium Theory of Left-Handed Materials ,” Phys. Rev. Lett.   93 , 107402 ( 2004 )
[Crossref] [PubMed]

R. Marques , J. Martel , F. Mesa , and F. Medina , “ Left-Handed-Media Simulation and Transmission of EM Waves in Subwavelength Split-Ring-Resonator-Loaded Metallic Waveguides ,” Phys. Rev. Lett.   89 , 183901 ( 2002 )
[Crossref] [PubMed]

D. F. Sievenpiper , M. E. Sickmiller , and E. Yablonovitch , “ 3D Wire Mesh Photonic Crystals ,” Phys. Rev. Lett.   76 , 2480 ( 1996 ).
[Crossref] [PubMed]

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] [PubMed]

D. R. Smith , Willie 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 ( 2000 )
[Crossref] [PubMed]

Andrew A. Houck , Jeffrey B. Brock , and Isaac L. Chuang , “ Experimental Observations of a Left-Handed Material That Obeys Snell’s Law ,” Phys. Rev. Lett.   90 , 137401 ( 2003 )
[Crossref] [PubMed]

A. A. Houck , J. B. Brock , and I. L. Chuang , “ Experimental Observations of a Left-Handed Material That Obeys Snell’s Law ,” Phys. Rev. Lett.   90 , 137401 ( 2003 )
[Crossref] [PubMed]

C. G. Parazzoli , R. B. Greegor , K. Li , B. E. C. Koltenbah , and M. Tanielian , “ Experimental Verification and Simulation of Negative Index of Refraction Using Snell’s Law ,” Phys. Rev. Lett.   90 , 107401 ( 2003 ).
[Crossref] [PubMed]

Science (1)

R. A. Shelby , D. R. Smith , and S. Schultz , “ Experimental Verification of a Negative Index of Refraction ,” Science   292 , 77 ( 2001 ).
[Crossref] [PubMed]

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]

Waves In Rand. Med. (1)

D. Felbacq and G. Bouchitte , “ Homogenization of a set of parallel fibres ,” Waves In Rand. Med.   7 , 245 ( 1997 ).
[Crossref]

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Figures (4)

Fig. 1.
Fig. 1.

(Color online) a) Schematics of the labyrinth structure. r1 = 1.35 mm, r2 = 1.8 mm, r3 = 2.25 mm, r4 = 2.7 mm, g = 0.15 mm, w = 0.3 mm, and d = 0.15 mm. b) The unit cell of the actual, fabricated structure and the coordinate system that we use throughout the paper.

Fig. 2.
Fig. 2.

(Color online) a) Measured transmission through a single labyrinth structure (A), a single closed labyrinth structure (B). Calculated transmission through a single labyrinth structure (C), a single closed labyrinth structure (D). b) Induced surface current density at 6.2 GHz. c) Measured (E) and calculated (F) transmission through a single labyrinth structure. d) Induced surface current density at 6.2 GHz.

Fig. 3.
Fig. 3.

a) Measured transmission spectrum of the z-component of the electric field through (A) the labyrinth metamaterial medium and (B) through the closed labyrinth metamaterial medium. Only the z-component of the incident electric field was nonzero. b) Measured transmission spectrum of the x-component of the electric field through (C) free space and through (D) the labyrinth metamaterial medium. Only the z-component of the incident electric field was nonzero.

Fig. 4.
Fig. 4.

a) Transmission spectrum of electromagnetic waves through the wire medium. b) Measured transmission spectrum of electromagnetic waves through the CMM medium. c) Measured transmission spectrum of electromagnetic wave through the closed CMM medium.

Equations (2)

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D ¯ = ε ̿ E ¯ + ζ ̿ H ¯
H ¯ = μ̿ H ¯ + ζ ̿ E ¯

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