Abstract

We provide a design of a metallic composite structure, which simultaneously shows dual-band negative permeability (DNP) in two optical ranges. Numerical simulation demonstrates that different shifting of the two magnetic resonances can be observed. This structure property allows the realization of a wide range of negative permeability covering near-infrared (NIR) and visible ranges simultaneously. The alterability of the two neighboring negative permeability would provide a way to realize an effective pass-band of a meta-material with negative permeability at optical frequencies.

© 2008 Optical Society of America

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  1. J. B. Pendry, A. J. Holden, D. J. Robbins, and W. J. Stewart, "Magnetism from conductors and enhanced nonlinear phenomena," IEEE Trans. Microwave Theory Tech. 47, 2075-2084 (1999).
    [CrossRef]
  2. S. Linden, C. Enkrich, M. Wegener, J. Zhou, T. Koschny, and C. M. Soukoulis, "Magnetic Response of Meta-materials at 100 Terahertz," Science,  306, 1351-1353 (2004).
    [CrossRef] [PubMed]
  3. G. Dolling, C. Enkrich, and M. Wegener, J. F. Zhou, C. M. Soukoulis, and S. Linden, "Cut-wire pairs and plate pairs as magnetic atoms for optical meta-materials," Opt. Lett. 30, 3198-3200 (2005).
    [CrossRef] [PubMed]
  4. S. Zhang, W. Fan, B. K. Minhas, A. Frauenglass, K. J. Malloy, and S. R. J. Brueck, "Mid-nfrared Resonant Magnetic Nanostructures Exhibiting a Negative Permeability," Phys. Rev. Lett. 94, 037402 (2005).
    [CrossRef] [PubMed]
  5. S. Zhang, W. Fan, N. C. Panoiu, K. J. Malloy, R. M. Osgood, and S. R. J. Brueck, "Experimental Demonstration of Near-Infrared Negative-Index Meta-materials," Phys. Rev. Lett. 95, 137404 (2005).
    [CrossRef] [PubMed]
  6. C. Enkrich, M. Wegener, S. Linden, S. Burger, L. Zschiedrich, F. Schmidt, J. F. Zhou, Th. Koschny, and C. M. Soukoulis, "Magnetic Meta-materials at Telecommunication and Visible Frequencies," Phys. Rev. Lett. 95, 203901 (2005).
    [CrossRef] [PubMed]
  7. 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 meta-materials," Opt. Lett. 30, 3356-3358 (2005).
    [CrossRef]
  8. A. N. Grigorenko, A. K. Geim, H. F. Gleeson, Y. Zhang, A. A. Frisco, I. Y. Khrushchev, and J. Petrovic. "Nanofabricated media with negative permeability at visible frequencies," Nature 04242, 335-338 (2005).
    [CrossRef]
  9. G. Dolling, C. Enkrich, M. Wegener, C. M. Soukoulis, and S. Linden, "Simultaneous Negative Phase and Group Velocity of Light in a Meta-material," Science,  312, 892 (2006).
    [CrossRef] [PubMed]
  10. G. Dolling, M. Wegener, C. M. Soukoulis, and S. Linden, "Negative-index meta-material at 780 nm wavelength," Opt. Lett. 32, 53-55 (2007).
    [CrossRef]
  11. U. K. Chettiar, A. V. Kildishev, H.-K. Yuan, W. Cai, S. Xiao, V. P. Drachev, and V. M. Shalaev, "Dual-band negative index meta-material: double negative at 813 nm and single negative at 772 nm," Opt. Lett. 32, 1671-1673 (2007).
    [CrossRef] [PubMed]
  12. C. Enkrich, M. Wegener, S. Linden, S. Burger, L. Zschiedrich, F. Schmidt, J. F. Zhou, Th. Koschny, and C. M. Soukoulis, "Magnetic Meta-materials at Telecommunication and visible frequencies," Phys. Rev. Lett. 95, 203901, (2005).
    [CrossRef] [PubMed]
  13. P. B. Johnson and R. W. Christy. "Optical constants of the noble metals," Phys. Rev. B 6, 4370 (1972).
    [CrossRef]
  14. D. R. Smith, S. Schultz, P. Marko, and C. M. Soukoulis, "Determination of effective permittivity and permeability of meta-materials from reflection and transmission coefficients," Phys. Rev. B 65, 195104 (2002).
    [CrossRef]
  15. X. Chen, T. M. Grzegorczyk, B.-I. Wu, J. Pacheco, and J. A. Kong, "Robust method to retrieve the constitutive effective parameters of meta-materials," Phys. Rev. E 70, 016608 (2004).
    [CrossRef]

2007 (2)

2006 (1)

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

2005 (7)

C. Enkrich, M. Wegener, S. Linden, S. Burger, L. Zschiedrich, F. Schmidt, J. F. Zhou, Th. Koschny, and C. M. Soukoulis, "Magnetic Meta-materials at Telecommunication and visible frequencies," Phys. Rev. Lett. 95, 203901, (2005).
[CrossRef] [PubMed]

S. Zhang, W. Fan, B. K. Minhas, A. Frauenglass, K. J. Malloy, and S. R. J. Brueck, "Mid-nfrared Resonant Magnetic Nanostructures Exhibiting a Negative Permeability," Phys. Rev. Lett. 94, 037402 (2005).
[CrossRef] [PubMed]

S. Zhang, W. Fan, N. C. Panoiu, K. J. Malloy, R. M. Osgood, and S. R. J. Brueck, "Experimental Demonstration of Near-Infrared Negative-Index Meta-materials," Phys. Rev. Lett. 95, 137404 (2005).
[CrossRef] [PubMed]

C. Enkrich, M. Wegener, S. Linden, S. Burger, L. Zschiedrich, F. Schmidt, J. F. Zhou, Th. Koschny, and C. M. Soukoulis, "Magnetic Meta-materials at Telecommunication and Visible Frequencies," Phys. Rev. Lett. 95, 203901 (2005).
[CrossRef] [PubMed]

A. N. Grigorenko, A. K. Geim, H. F. Gleeson, Y. Zhang, A. A. Frisco, I. Y. Khrushchev, and J. Petrovic. "Nanofabricated media with negative permeability at visible frequencies," Nature 04242, 335-338 (2005).
[CrossRef]

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

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

2004 (2)

S. Linden, C. Enkrich, M. Wegener, J. Zhou, T. Koschny, and C. M. Soukoulis, "Magnetic Response of Meta-materials at 100 Terahertz," Science,  306, 1351-1353 (2004).
[CrossRef] [PubMed]

X. Chen, T. M. Grzegorczyk, B.-I. Wu, J. Pacheco, and J. A. Kong, "Robust method to retrieve the constitutive effective parameters of meta-materials," Phys. Rev. E 70, 016608 (2004).
[CrossRef]

2002 (1)

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

1999 (1)

J. B. Pendry, A. J. Holden, D. J. Robbins, and W. J. Stewart, "Magnetism from conductors and enhanced nonlinear phenomena," IEEE Trans. Microwave Theory Tech. 47, 2075-2084 (1999).
[CrossRef]

1972 (1)

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

Brueck, S. R. J.

S. Zhang, W. Fan, B. K. Minhas, A. Frauenglass, K. J. Malloy, and S. R. J. Brueck, "Mid-nfrared Resonant Magnetic Nanostructures Exhibiting a Negative Permeability," Phys. Rev. Lett. 94, 037402 (2005).
[CrossRef] [PubMed]

S. Zhang, W. Fan, N. C. Panoiu, K. J. Malloy, R. M. Osgood, and S. R. J. Brueck, "Experimental Demonstration of Near-Infrared Negative-Index Meta-materials," Phys. Rev. Lett. 95, 137404 (2005).
[CrossRef] [PubMed]

Burger, S.

C. Enkrich, M. Wegener, S. Linden, S. Burger, L. Zschiedrich, F. Schmidt, J. F. Zhou, Th. Koschny, and C. M. Soukoulis, "Magnetic Meta-materials at Telecommunication and visible frequencies," Phys. Rev. Lett. 95, 203901, (2005).
[CrossRef] [PubMed]

C. Enkrich, M. Wegener, S. Linden, S. Burger, L. Zschiedrich, F. Schmidt, J. F. Zhou, Th. Koschny, and C. M. Soukoulis, "Magnetic Meta-materials at Telecommunication and Visible Frequencies," Phys. Rev. Lett. 95, 203901 (2005).
[CrossRef] [PubMed]

Cai, W.

Chen, X.

X. Chen, T. M. Grzegorczyk, B.-I. Wu, J. Pacheco, and J. A. Kong, "Robust method to retrieve the constitutive effective parameters of meta-materials," Phys. Rev. E 70, 016608 (2004).
[CrossRef]

Chettiar, U. K.

Christy, R. W.

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

Dolling, G.

Drachev, V. P.

Enkrich, C.

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

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

C. Enkrich, M. Wegener, S. Linden, S. Burger, L. Zschiedrich, F. Schmidt, J. F. Zhou, Th. Koschny, and C. M. Soukoulis, "Magnetic Meta-materials at Telecommunication and visible frequencies," Phys. Rev. Lett. 95, 203901, (2005).
[CrossRef] [PubMed]

C. Enkrich, M. Wegener, S. Linden, S. Burger, L. Zschiedrich, F. Schmidt, J. F. Zhou, Th. Koschny, and C. M. Soukoulis, "Magnetic Meta-materials at Telecommunication and Visible Frequencies," Phys. Rev. Lett. 95, 203901 (2005).
[CrossRef] [PubMed]

S. Linden, C. Enkrich, M. Wegener, J. Zhou, T. Koschny, and C. M. Soukoulis, "Magnetic Response of Meta-materials at 100 Terahertz," Science,  306, 1351-1353 (2004).
[CrossRef] [PubMed]

Fan, W.

S. Zhang, W. Fan, B. K. Minhas, A. Frauenglass, K. J. Malloy, and S. R. J. Brueck, "Mid-nfrared Resonant Magnetic Nanostructures Exhibiting a Negative Permeability," Phys. Rev. Lett. 94, 037402 (2005).
[CrossRef] [PubMed]

S. Zhang, W. Fan, N. C. Panoiu, K. J. Malloy, R. M. Osgood, and S. R. J. Brueck, "Experimental Demonstration of Near-Infrared Negative-Index Meta-materials," Phys. Rev. Lett. 95, 137404 (2005).
[CrossRef] [PubMed]

Frauenglass, A.

S. Zhang, W. Fan, B. K. Minhas, A. Frauenglass, K. J. Malloy, and S. R. J. Brueck, "Mid-nfrared Resonant Magnetic Nanostructures Exhibiting a Negative Permeability," Phys. Rev. Lett. 94, 037402 (2005).
[CrossRef] [PubMed]

Frisco, A. A.

A. N. Grigorenko, A. K. Geim, H. F. Gleeson, Y. Zhang, A. A. Frisco, I. Y. Khrushchev, and J. Petrovic. "Nanofabricated media with negative permeability at visible frequencies," Nature 04242, 335-338 (2005).
[CrossRef]

Geim, A. K.

A. N. Grigorenko, A. K. Geim, H. F. Gleeson, Y. Zhang, A. A. Frisco, I. Y. Khrushchev, and J. Petrovic. "Nanofabricated media with negative permeability at visible frequencies," Nature 04242, 335-338 (2005).
[CrossRef]

Gleeson, H. F.

A. N. Grigorenko, A. K. Geim, H. F. Gleeson, Y. Zhang, A. A. Frisco, I. Y. Khrushchev, and J. Petrovic. "Nanofabricated media with negative permeability at visible frequencies," Nature 04242, 335-338 (2005).
[CrossRef]

Grigorenko, A. N.

A. N. Grigorenko, A. K. Geim, H. F. Gleeson, Y. Zhang, A. A. Frisco, I. Y. Khrushchev, and J. Petrovic. "Nanofabricated media with negative permeability at visible frequencies," Nature 04242, 335-338 (2005).
[CrossRef]

Grzegorczyk, T. M.

X. Chen, T. M. Grzegorczyk, B.-I. Wu, J. Pacheco, and J. A. Kong, "Robust method to retrieve the constitutive effective parameters of meta-materials," Phys. Rev. E 70, 016608 (2004).
[CrossRef]

Holden, A. J.

J. B. Pendry, A. J. Holden, D. J. Robbins, and W. J. Stewart, "Magnetism from conductors and enhanced nonlinear phenomena," IEEE Trans. Microwave Theory Tech. 47, 2075-2084 (1999).
[CrossRef]

Johnson, P. B.

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

Khrushchev, I. Y.

A. N. Grigorenko, A. K. Geim, H. F. Gleeson, Y. Zhang, A. A. Frisco, I. Y. Khrushchev, and J. Petrovic. "Nanofabricated media with negative permeability at visible frequencies," Nature 04242, 335-338 (2005).
[CrossRef]

Kildishev, A. V.

Kong, J. A.

X. Chen, T. M. Grzegorczyk, B.-I. Wu, J. Pacheco, and J. A. Kong, "Robust method to retrieve the constitutive effective parameters of meta-materials," Phys. Rev. E 70, 016608 (2004).
[CrossRef]

Koschny, T.

S. Linden, C. Enkrich, M. Wegener, J. Zhou, T. Koschny, and C. M. Soukoulis, "Magnetic Response of Meta-materials at 100 Terahertz," Science,  306, 1351-1353 (2004).
[CrossRef] [PubMed]

Koschny, Th.

C. Enkrich, M. Wegener, S. Linden, S. Burger, L. Zschiedrich, F. Schmidt, J. F. Zhou, Th. Koschny, and C. M. Soukoulis, "Magnetic Meta-materials at Telecommunication and Visible Frequencies," Phys. Rev. Lett. 95, 203901 (2005).
[CrossRef] [PubMed]

C. Enkrich, M. Wegener, S. Linden, S. Burger, L. Zschiedrich, F. Schmidt, J. F. Zhou, Th. Koschny, and C. M. Soukoulis, "Magnetic Meta-materials at Telecommunication and visible frequencies," Phys. Rev. Lett. 95, 203901, (2005).
[CrossRef] [PubMed]

Linden, S.

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

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

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

C. Enkrich, M. Wegener, S. Linden, S. Burger, L. Zschiedrich, F. Schmidt, J. F. Zhou, Th. Koschny, and C. M. Soukoulis, "Magnetic Meta-materials at Telecommunication and visible frequencies," Phys. Rev. Lett. 95, 203901, (2005).
[CrossRef] [PubMed]

C. Enkrich, M. Wegener, S. Linden, S. Burger, L. Zschiedrich, F. Schmidt, J. F. Zhou, Th. Koschny, and C. M. Soukoulis, "Magnetic Meta-materials at Telecommunication and Visible Frequencies," Phys. Rev. Lett. 95, 203901 (2005).
[CrossRef] [PubMed]

S. Linden, C. Enkrich, M. Wegener, J. Zhou, T. Koschny, and C. M. Soukoulis, "Magnetic Response of Meta-materials at 100 Terahertz," Science,  306, 1351-1353 (2004).
[CrossRef] [PubMed]

Malloy, K. J.

S. Zhang, W. Fan, B. K. Minhas, A. Frauenglass, K. J. Malloy, and S. R. J. Brueck, "Mid-nfrared Resonant Magnetic Nanostructures Exhibiting a Negative Permeability," Phys. Rev. Lett. 94, 037402 (2005).
[CrossRef] [PubMed]

S. Zhang, W. Fan, N. C. Panoiu, K. J. Malloy, R. M. Osgood, and S. R. J. Brueck, "Experimental Demonstration of Near-Infrared Negative-Index Meta-materials," Phys. Rev. Lett. 95, 137404 (2005).
[CrossRef] [PubMed]

Marko, P.

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

Minhas, B. K.

S. Zhang, W. Fan, B. K. Minhas, A. Frauenglass, K. J. Malloy, and S. R. J. Brueck, "Mid-nfrared Resonant Magnetic Nanostructures Exhibiting a Negative Permeability," Phys. Rev. Lett. 94, 037402 (2005).
[CrossRef] [PubMed]

Osgood, R. M.

S. Zhang, W. Fan, N. C. Panoiu, K. J. Malloy, R. M. Osgood, and S. R. J. Brueck, "Experimental Demonstration of Near-Infrared Negative-Index Meta-materials," Phys. Rev. Lett. 95, 137404 (2005).
[CrossRef] [PubMed]

Pacheco, J.

X. Chen, T. M. Grzegorczyk, B.-I. Wu, J. Pacheco, and J. A. Kong, "Robust method to retrieve the constitutive effective parameters of meta-materials," Phys. Rev. E 70, 016608 (2004).
[CrossRef]

Panoiu, N. C.

S. Zhang, W. Fan, N. C. Panoiu, K. J. Malloy, R. M. Osgood, and S. R. J. Brueck, "Experimental Demonstration of Near-Infrared Negative-Index Meta-materials," Phys. Rev. Lett. 95, 137404 (2005).
[CrossRef] [PubMed]

Pendry, J. B.

J. B. Pendry, A. J. Holden, D. J. Robbins, and W. J. Stewart, "Magnetism from conductors and enhanced nonlinear phenomena," IEEE Trans. Microwave Theory Tech. 47, 2075-2084 (1999).
[CrossRef]

Petrovic, J.

A. N. Grigorenko, A. K. Geim, H. F. Gleeson, Y. Zhang, A. A. Frisco, I. Y. Khrushchev, and J. Petrovic. "Nanofabricated media with negative permeability at visible frequencies," Nature 04242, 335-338 (2005).
[CrossRef]

Robbins, D. J.

J. B. Pendry, A. J. Holden, D. J. Robbins, and W. J. Stewart, "Magnetism from conductors and enhanced nonlinear phenomena," IEEE Trans. Microwave Theory Tech. 47, 2075-2084 (1999).
[CrossRef]

Sarychev, A. K.

Schmidt, F.

C. Enkrich, M. Wegener, S. Linden, S. Burger, L. Zschiedrich, F. Schmidt, J. F. Zhou, Th. Koschny, and C. M. Soukoulis, "Magnetic Meta-materials at Telecommunication and visible frequencies," Phys. Rev. Lett. 95, 203901, (2005).
[CrossRef] [PubMed]

C. Enkrich, M. Wegener, S. Linden, S. Burger, L. Zschiedrich, F. Schmidt, J. F. Zhou, Th. Koschny, and C. M. Soukoulis, "Magnetic Meta-materials at Telecommunication and Visible Frequencies," Phys. Rev. Lett. 95, 203901 (2005).
[CrossRef] [PubMed]

Schultz, S.

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

Shalaev, V. M.

Smith, D. R.

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

Soukoulis, C. M.

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

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

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

C. Enkrich, M. Wegener, S. Linden, S. Burger, L. Zschiedrich, F. Schmidt, J. F. Zhou, Th. Koschny, and C. M. Soukoulis, "Magnetic Meta-materials at Telecommunication and visible frequencies," Phys. Rev. Lett. 95, 203901, (2005).
[CrossRef] [PubMed]

C. Enkrich, M. Wegener, S. Linden, S. Burger, L. Zschiedrich, F. Schmidt, J. F. Zhou, Th. Koschny, and C. M. Soukoulis, "Magnetic Meta-materials at Telecommunication and Visible Frequencies," Phys. Rev. Lett. 95, 203901 (2005).
[CrossRef] [PubMed]

S. Linden, C. Enkrich, M. Wegener, J. Zhou, T. Koschny, and C. M. Soukoulis, "Magnetic Response of Meta-materials at 100 Terahertz," Science,  306, 1351-1353 (2004).
[CrossRef] [PubMed]

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

Stewart, W. J.

J. B. Pendry, A. J. Holden, D. J. Robbins, and W. J. Stewart, "Magnetism from conductors and enhanced nonlinear phenomena," IEEE Trans. Microwave Theory Tech. 47, 2075-2084 (1999).
[CrossRef]

Wegener, M.

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

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

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

C. Enkrich, M. Wegener, S. Linden, S. Burger, L. Zschiedrich, F. Schmidt, J. F. Zhou, Th. Koschny, and C. M. Soukoulis, "Magnetic Meta-materials at Telecommunication and visible frequencies," Phys. Rev. Lett. 95, 203901, (2005).
[CrossRef] [PubMed]

C. Enkrich, M. Wegener, S. Linden, S. Burger, L. Zschiedrich, F. Schmidt, J. F. Zhou, Th. Koschny, and C. M. Soukoulis, "Magnetic Meta-materials at Telecommunication and Visible Frequencies," Phys. Rev. Lett. 95, 203901 (2005).
[CrossRef] [PubMed]

S. Linden, C. Enkrich, M. Wegener, J. Zhou, T. Koschny, and C. M. Soukoulis, "Magnetic Response of Meta-materials at 100 Terahertz," Science,  306, 1351-1353 (2004).
[CrossRef] [PubMed]

Wu, B.-I.

X. Chen, T. M. Grzegorczyk, B.-I. Wu, J. Pacheco, and J. A. Kong, "Robust method to retrieve the constitutive effective parameters of meta-materials," Phys. Rev. E 70, 016608 (2004).
[CrossRef]

Xiao, S.

Yuan, H.-K.

Zhang, S.

S. Zhang, W. Fan, N. C. Panoiu, K. J. Malloy, R. M. Osgood, and S. R. J. Brueck, "Experimental Demonstration of Near-Infrared Negative-Index Meta-materials," Phys. Rev. Lett. 95, 137404 (2005).
[CrossRef] [PubMed]

S. Zhang, W. Fan, B. K. Minhas, A. Frauenglass, K. J. Malloy, and S. R. J. Brueck, "Mid-nfrared Resonant Magnetic Nanostructures Exhibiting a Negative Permeability," Phys. Rev. Lett. 94, 037402 (2005).
[CrossRef] [PubMed]

Zhang, Y.

A. N. Grigorenko, A. K. Geim, H. F. Gleeson, Y. Zhang, A. A. Frisco, I. Y. Khrushchev, and J. Petrovic. "Nanofabricated media with negative permeability at visible frequencies," Nature 04242, 335-338 (2005).
[CrossRef]

Zhou, J.

S. Linden, C. Enkrich, M. Wegener, J. Zhou, T. Koschny, and C. M. Soukoulis, "Magnetic Response of Meta-materials at 100 Terahertz," Science,  306, 1351-1353 (2004).
[CrossRef] [PubMed]

Zhou, J. F.

C. Enkrich, M. Wegener, S. Linden, S. Burger, L. Zschiedrich, F. Schmidt, J. F. Zhou, Th. Koschny, and C. M. Soukoulis, "Magnetic Meta-materials at Telecommunication and Visible Frequencies," Phys. Rev. Lett. 95, 203901 (2005).
[CrossRef] [PubMed]

C. Enkrich, M. Wegener, S. Linden, S. Burger, L. Zschiedrich, F. Schmidt, J. F. Zhou, Th. Koschny, and C. M. Soukoulis, "Magnetic Meta-materials at Telecommunication and visible frequencies," Phys. Rev. Lett. 95, 203901, (2005).
[CrossRef] [PubMed]

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

Zschiedrich, L.

C. Enkrich, M. Wegener, S. Linden, S. Burger, L. Zschiedrich, F. Schmidt, J. F. Zhou, Th. Koschny, and C. M. Soukoulis, "Magnetic Meta-materials at Telecommunication and visible frequencies," Phys. Rev. Lett. 95, 203901, (2005).
[CrossRef] [PubMed]

C. Enkrich, M. Wegener, S. Linden, S. Burger, L. Zschiedrich, F. Schmidt, J. F. Zhou, Th. Koschny, and C. M. Soukoulis, "Magnetic Meta-materials at Telecommunication and Visible Frequencies," Phys. Rev. Lett. 95, 203901 (2005).
[CrossRef] [PubMed]

IEEE Trans. Microwave Theory Tech. (1)

J. B. Pendry, A. J. Holden, D. J. Robbins, and W. J. Stewart, "Magnetism from conductors and enhanced nonlinear phenomena," IEEE Trans. Microwave Theory Tech. 47, 2075-2084 (1999).
[CrossRef]

Nature (1)

A. N. Grigorenko, A. K. Geim, H. F. Gleeson, Y. Zhang, A. A. Frisco, I. Y. Khrushchev, and J. Petrovic. "Nanofabricated media with negative permeability at visible frequencies," Nature 04242, 335-338 (2005).
[CrossRef]

Opt. Lett. (4)

Phys. Rev. B (2)

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

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

Phys. Rev. E (1)

X. Chen, T. M. Grzegorczyk, B.-I. Wu, J. Pacheco, and J. A. Kong, "Robust method to retrieve the constitutive effective parameters of meta-materials," Phys. Rev. E 70, 016608 (2004).
[CrossRef]

Phys. Rev. Lett. (4)

S. Zhang, W. Fan, B. K. Minhas, A. Frauenglass, K. J. Malloy, and S. R. J. Brueck, "Mid-nfrared Resonant Magnetic Nanostructures Exhibiting a Negative Permeability," Phys. Rev. Lett. 94, 037402 (2005).
[CrossRef] [PubMed]

S. Zhang, W. Fan, N. C. Panoiu, K. J. Malloy, R. M. Osgood, and S. R. J. Brueck, "Experimental Demonstration of Near-Infrared Negative-Index Meta-materials," Phys. Rev. Lett. 95, 137404 (2005).
[CrossRef] [PubMed]

C. Enkrich, M. Wegener, S. Linden, S. Burger, L. Zschiedrich, F. Schmidt, J. F. Zhou, Th. Koschny, and C. M. Soukoulis, "Magnetic Meta-materials at Telecommunication and Visible Frequencies," Phys. Rev. Lett. 95, 203901 (2005).
[CrossRef] [PubMed]

C. Enkrich, M. Wegener, S. Linden, S. Burger, L. Zschiedrich, F. Schmidt, J. F. Zhou, Th. Koschny, and C. M. Soukoulis, "Magnetic Meta-materials at Telecommunication and visible frequencies," Phys. Rev. Lett. 95, 203901, (2005).
[CrossRef] [PubMed]

Science (2)

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

S. Linden, C. Enkrich, M. Wegener, J. Zhou, T. Koschny, and C. M. Soukoulis, "Magnetic Response of Meta-materials at 100 Terahertz," Science,  306, 1351-1353 (2004).
[CrossRef] [PubMed]

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Figures (5)

Fig. 1.
Fig. 1.

(Color online) Schematic drawing of the design of a DNP structure (a) single split-ring for magnetic response, (b) particle pair for magnetic response. (c) Combining (a) with (b) to get DNP composite structure. The right-up inset shows the orientation of electromagnetic wave used in (c).

Fig. 2.
Fig. 2.

(Color online) Simulated transmission spectra of the proposed structure. The inset shows the different permittivity of the covering dielectric material, ▲: the resonance of the “Π”- shaped structure, ▼: the resonance of the sides of two neighboring “Π”- shaped structures.

Fig. 3.
Fig. 3.

(Color online) Local steady magnetic field at (a): 300THz and (b): 500THz. The color bar is normalized. PEC and PMC boundaries are used in electric and magnetic directions, respectively.

Fig. 4.
Fig. 4.

(Color online) The retrieved effective permeability (▼: ε=1, ▲: ε=4) of the structure. The inset shows the details in the dash-lined regions and shares the same color mark. The black dashed arrowhead shows the shift when tuning the permittivity of covering dielectric material from 1 to 4. The red dashed circle in the left-handed inset shows the region between two magnetic responses.

Fig. 5.
Fig. 5.

(Color online) The real part of the retrieved effective permeability (ε=5) of the structure. The inset (a) shows the details in the red dash-lined regions, and the region between two magnetic responses is marked by the black dashed circle, the inset (b) shows the respective transmission spectrum.

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