Metamagnetics with rainbow colors

Wenshan Cai; Uday K. Chettiar; Hsiao-Kuan Yuan; Vashista C. de Silva; Alexander V. Kildishev; Vladimir P. Drachev; Vladimir M. Shalaev

doi:10.1364/OE.15.003333

Metamagnetics with rainbow colors

Wenshan Cai, Uday K. Chettiar, Hsiao-Kuan Yuan, Vashista C. de Silva, Alexander V. Kildishev, Vladimir P. Drachev, and Vladimir M. Shalaev

Optics Express
Vol. 15,
Issue 6,
pp. 3333-3341
(2007)
•https://doi.org/10.1364/OE.15.003333

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Wenshan Cai, Uday K. Chettiar, Hsiao-Kuan Yuan, Vashista C. de Silva, Alexander V. Kildishev, Vladimir P. Drachev, and Vladimir M. Shalaev, "Metamagnetics with rainbow colors," Opt. Express 15, 3333-3341 (2007)

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Related Topics
Table of Contents Category
- Metamaterials
Optics & Photonics Topics
?

The topics in this list come from the OSA Optics and Photonics Topics applied to this article.
Previously assigned OCIS codes
- Optical materials (160.4670)
- Optical properties (160.4760)
- Resonance (260.5740)
- Thin films, optical properties (310.6860)

About this Article
History
- Original Manuscript: February 13, 2007
- Manuscript Accepted: February 27, 2007
- Published: March 19, 2007

Accessible

Open Access

Abstract

A family of coupled nanostrips with varying dimensions is demonstrated exhibiting optical magnetic responses across the whole visible spectrum, from red to blue. We refer to such a phenomenon as rainbow magnetism. The experimental and analytical studies of such structures provide us with a universal building block and a general recipe for producing controllable optical magnetism for various practical implementations.

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References

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|
Year
|
Author
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Publication

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 (1999).
[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 (2000).
[Crossref] [PubMed]
T. J. Yen, W. J. Padilla, N. Fang, D. C. Vier, D. R. Smith, J. B. Pendry, D. N. Basov, and X. Zhang, “Terahertz magnetic response from artificial materials,” Science 303,1494 (2004).
[Crossref] [PubMed]
S. Linden, C. Enkrich, M. Wegener, J. Zhou, T. Koschny, and C. M. Soukoulis, “Magnetic response of metamaterials at 100 Terahertz,” Science 306,1351 (2004).
[Crossref] [PubMed]
S. Zhang, W. Fan, B. K. Minhas, A. Frauenglass, K. J. Malloy, and S. R. J. Brueck, “Midinfrared resonant magnetic nanostructures exhibiting a negative permeability,” Phys. Rev. Lett. 94,037402 (2005).
[Crossref] [PubMed]
T. F. Gundogdu, I. Tsiapa, A. Kostopoulos, G. Konstantinidis, N. Katsarakis, R. S. Penciu, M. Kafesaki, E. N. Economou, Th. Koschny, and C. M. Soukoulis, “Experimental demonstration of negative magnetic permeability in the far-infrared frequency regime,” Appl. Phys. Lett. 89,084103 (2006).
[Crossref]
C. Enkrich, M. Wegener, S. Linden, S. Burger, L. Zschiedrich, F. Schmidt, J. F. Zhou, Th. Koschny, and C. M. Soukoulis, “Magnetic metamaterials at telecommunication and Visible frequencies,” Phys. Rev. Lett. 95,203901 (2005).
[Crossref] [PubMed]
V. A. Podolskiy, A. K. Sarychev, and V. M. Shalaev, “Plasmon modes in metal nanowires and left-handed materials,” J. Nonlinear Opt. Phys. Mater. 11,65 (2002).
[Crossref]
A. V. Kildishev, W. Cai, U. K. Chettiar, H.-K. Yuan, A. K. Sarychev, V. P. Drachev, and V. M. Shalaev, “Negative refractive index in optics of metal-dielectric composites,” J. Opt. Soc. Am. B 23,423 (2006).
[Crossref]
G. Shvets and Y. A. Urzhumov, “Negative index meta-materials based on two-dimensional metallic structures,” J. Opt. A 8,S122 (2006).
[Crossref]
U. K. Chettiar, A. V. Kildishev, T. A. Klar, and V. M. Shalaev, “Negative index metamaterial combining magnetic resonators with metal films,” Opt. Express 14,7872 (2006).
[Crossref] [PubMed]
J. Zhou, Th. Koschny, M. Kafesaki, E. N. Economou, J. B. Pendry, and C. M. Soukoulis, “Saturation of the magnetic response of split-ring resonators at optical frequencies,” Phys. Rev. Lett. 95,223902 (2005).
[Crossref] [PubMed]
M. W. Klein, C. Enkrich, M. Wegener, C. M. Soukoulis, and S. Linden, “Single-slit split-ring resonators at optical frequencies: limits of size scaling,” Opt. Lett. 31,1259 (2006).
[Crossref] [PubMed]
H.-K. Yuan, U. K. Chettiar, W. Cai, A. V. Kildishev, A. Boltasseva, V. P. Drachev, and V. M. Shalaev, “A negative permeability material at red light,” Opt. Express 15,1078 (2007).
[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 (2005).
[Crossref]
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 metamaterials,” Phys. Rev. Lett. 95,137404 (2005).
[Crossref] [PubMed]
G. Dolling, C. Enkrich, M. Wegener, C. M. Soukoulis, and S. Linden, “Low-loss negative-index metamaterial at telecommunication wavelengths,” Opt. Lett. 31,1800 (2006).
[Crossref] [PubMed]
P. A. Belov and C. R. Simovski, “Subwavelength metallic waveguides loaded by uniaxial resonant scatterers,” Phys. Rev. E 72,036618 (2005).
[Crossref]
A. Ourir, A. de Lustrac, and J.-M. Lourtioz, “All-metamaterial-based subwavelength cavities (λ/60) for ultrathin directive antennas,” Appl. Phys. Lett. 88,084103 (2006).
[Crossref]
V. A. Fedotov, P. L. Mladyonov, S. L. Prosvirnin, and N. I. Zheludev, “Planar electromagnetic metamaterial with a fish scale structure,” Phys. Rev. E 72,056613 (2005).
[Crossref]
B. T. Schwartz and R. Piestun, “Total external reflection from metamaterials with ultralow refractive index,” J. Opt. Soc. Am. B 20,2448 (2003).
[Crossref]
J. B. Pendry, D. Schurig, and D. R. Smith, “Controlling electromagnetic fields,” Science 312,1780 (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 (2006).
[Crossref] [PubMed]
I. Puscasu, W. L. Schaich, and G. D. Boreman, “Modeling parameters for the spectral behavior of infrared frequency-selective surfaces,” Appl. Opt. 40,118 (2001).
[Crossref]
R. W. Wood, “Anomalous diffractive gratings,” Phys. Rev. 48,928 (1935).
[Crossref]
P. B. Johnson and R. W. Christy, “Optical constants of the noble metals,” Phys. Rev. B 6,4370 (1972).
[Crossref]
T. Koschny, P. Markoŝ, D. R. Smith, and C. M. Soukoulis, “Resonant and antiresonant frequency dependence of the effective parameters of metamaterials,” Phys. Rev. E 68,065602(R) (2003).
[Crossref]
V. Lomakin, Y. Fainman, Y. Urzhumov, and G. Shvets, “Doubly negative metamaterials in the near infrared and visible regimes based on thin film nanocomposites,” Opt. Express 14,11164 (2006).
[Crossref] [PubMed]
J. Zhou, L. Zhang, G. Tuttle, T. Koschny, and C. M. Soukoulis, “Negative index materials using simple short wire pairs,” Phys. Rev. B 73,041101(R) (2006).
[Crossref]
D. R. Smith, S. Schultz, P. Markoš, and C. M. Soukoulis, “Determination of effective permittivity and permeability of metamaterials from reflection and transmission coefficients,” Phys. Rev. B 65,195104 (2002).
[Crossref]

2007 (1)

H.-K. Yuan, U. K. Chettiar, W. Cai, A. V. Kildishev, A. Boltasseva, V. P. Drachev, and V. M. Shalaev, “A negative permeability material at red light,” Opt. Express 15,1078 (2007).
[Crossref]

2006 (11)

G. Dolling, C. Enkrich, M. Wegener, C. M. Soukoulis, and S. Linden, “Low-loss negative-index metamaterial at telecommunication wavelengths,” Opt. Lett. 31,1800 (2006).
[Crossref] [PubMed]

T. F. Gundogdu, I. Tsiapa, A. Kostopoulos, G. Konstantinidis, N. Katsarakis, R. S. Penciu, M. Kafesaki, E. N. Economou, Th. Koschny, and C. M. Soukoulis, “Experimental demonstration of negative magnetic permeability in the far-infrared frequency regime,” Appl. Phys. Lett. 89,084103 (2006).
[Crossref]

M. W. Klein, C. Enkrich, M. Wegener, C. M. Soukoulis, and S. Linden, “Single-slit split-ring resonators at optical frequencies: limits of size scaling,” Opt. Lett. 31,1259 (2006).
[Crossref] [PubMed]

A. V. Kildishev, W. Cai, U. K. Chettiar, H.-K. Yuan, A. K. Sarychev, V. P. Drachev, and V. M. Shalaev, “Negative refractive index in optics of metal-dielectric composites,” J. Opt. Soc. Am. B 23,423 (2006).
[Crossref]

G. Shvets and Y. A. Urzhumov, “Negative index meta-materials based on two-dimensional metallic structures,” J. Opt. A 8,S122 (2006).
[Crossref]

U. K. Chettiar, A. V. Kildishev, T. A. Klar, and V. M. Shalaev, “Negative index metamaterial combining magnetic resonators with metal films,” Opt. Express 14,7872 (2006).
[Crossref] [PubMed]

J. B. Pendry, D. Schurig, and D. R. Smith, “Controlling electromagnetic fields,” Science 312,1780 (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 (2006).
[Crossref] [PubMed]

A. Ourir, A. de Lustrac, and J.-M. Lourtioz, “All-metamaterial-based subwavelength cavities (λ/60) for ultrathin directive antennas,” Appl. Phys. Lett. 88,084103 (2006).
[Crossref]

V. Lomakin, Y. Fainman, Y. Urzhumov, and G. Shvets, “Doubly negative metamaterials in the near infrared and visible regimes based on thin film nanocomposites,” Opt. Express 14,11164 (2006).
[Crossref] [PubMed]

J. Zhou, L. Zhang, G. Tuttle, T. Koschny, and C. M. Soukoulis, “Negative index materials using simple short wire pairs,” Phys. Rev. B 73,041101(R) (2006).
[Crossref]

2005 (7)

V. A. Fedotov, P. L. Mladyonov, S. L. Prosvirnin, and N. I. Zheludev, “Planar electromagnetic metamaterial with a fish scale structure,” Phys. Rev. E 72,056613 (2005).
[Crossref]

J. Zhou, Th. Koschny, M. Kafesaki, E. N. Economou, J. B. Pendry, and C. M. Soukoulis, “Saturation of the magnetic response of split-ring resonators at optical frequencies,” Phys. Rev. Lett. 95,223902 (2005).
[Crossref] [PubMed]

S. Zhang, W. Fan, B. K. Minhas, A. Frauenglass, K. J. Malloy, and S. R. J. Brueck, “Midinfrared resonant magnetic nanostructures exhibiting a negative permeability,” Phys. Rev. Lett. 94,037402 (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 metamaterials at telecommunication and Visible frequencies,” Phys. Rev. Lett. 95,203901 (2005).
[Crossref] [PubMed]

P. A. Belov and C. R. Simovski, “Subwavelength metallic waveguides loaded by uniaxial resonant scatterers,” Phys. Rev. E 72,036618 (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 (2005).
[Crossref]

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 metamaterials,” Phys. Rev. Lett. 95,137404 (2005).
[Crossref] [PubMed]

2004 (2)

T. J. Yen, W. J. Padilla, N. Fang, D. C. Vier, D. R. Smith, J. B. Pendry, D. N. Basov, and X. Zhang, “Terahertz magnetic response from artificial materials,” Science 303,1494 (2004).
[Crossref] [PubMed]

S. Linden, C. Enkrich, M. Wegener, J. Zhou, T. Koschny, and C. M. Soukoulis, “Magnetic response of metamaterials at 100 Terahertz,” Science 306,1351 (2004).
[Crossref] [PubMed]

2003 (2)

B. T. Schwartz and R. Piestun, “Total external reflection from metamaterials with ultralow refractive index,” J. Opt. Soc. Am. B 20,2448 (2003).
[Crossref]

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

2002 (2)

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

V. A. Podolskiy, A. K. Sarychev, and V. M. Shalaev, “Plasmon modes in metal nanowires and left-handed materials,” J. Nonlinear Opt. Phys. Mater. 11,65 (2002).
[Crossref]

2001 (1)

I. Puscasu, W. L. Schaich, and G. D. Boreman, “Modeling parameters for the spectral behavior of infrared frequency-selective surfaces,” Appl. Opt. 40,118 (2001).
[Crossref]

2000 (1)

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 (2000).
[Crossref] [PubMed]

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 (1999).
[Crossref]

1972 (1)

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

1935 (1)

R. W. Wood, “Anomalous diffractive gratings,” Phys. Rev. 48,928 (1935).
[Crossref]

Basov, D. N.

Belov, P. A.

P. A. Belov and C. R. Simovski, “Subwavelength metallic waveguides loaded by uniaxial resonant scatterers,” Phys. Rev. E 72,036618 (2005).
[Crossref]

Boltasseva, A.

H.-K. Yuan, U. K. Chettiar, W. Cai, A. V. Kildishev, A. Boltasseva, V. P. Drachev, and V. M. Shalaev, “A negative permeability material at red light,” Opt. Express 15,1078 (2007).
[Crossref]

Boreman, G. D.

I. Puscasu, W. L. Schaich, and G. D. Boreman, “Modeling parameters for the spectral behavior of infrared frequency-selective surfaces,” Appl. Opt. 40,118 (2001).
[Crossref]

Brueck, S. R. J.

Burger, S.

Cai, W.

H.-K. Yuan, U. K. Chettiar, W. Cai, A. V. Kildishev, A. Boltasseva, V. P. Drachev, and V. M. Shalaev, “A negative permeability material at red light,” Opt. Express 15,1078 (2007).
[Crossref]

Chettiar, U. K.

H.-K. Yuan, U. K. Chettiar, W. Cai, A. V. Kildishev, A. Boltasseva, V. P. Drachev, and V. M. Shalaev, “A negative permeability material at red light,” Opt. Express 15,1078 (2007).
[Crossref]

U. K. Chettiar, A. V. Kildishev, T. A. Klar, and V. M. Shalaev, “Negative index metamaterial combining magnetic resonators with metal films,” Opt. Express 14,7872 (2006).
[Crossref] [PubMed]

Christy, R. W.

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

Cummer, S. A.

Dolling, G.

G. Dolling, C. Enkrich, M. Wegener, C. M. Soukoulis, and S. Linden, “Low-loss negative-index metamaterial at telecommunication wavelengths,” Opt. Lett. 31,1800 (2006).
[Crossref] [PubMed]

Drachev, V. P.

H.-K. Yuan, U. K. Chettiar, W. Cai, A. V. Kildishev, A. Boltasseva, V. P. Drachev, and V. M. Shalaev, “A negative permeability material at red light,” Opt. Express 15,1078 (2007).
[Crossref]

Economou, E. N.

Enkrich, C.

G. Dolling, C. Enkrich, M. Wegener, C. M. Soukoulis, and S. Linden, “Low-loss negative-index metamaterial at telecommunication wavelengths,” Opt. Lett. 31,1800 (2006).
[Crossref] [PubMed]

S. Linden, C. Enkrich, M. Wegener, J. Zhou, T. Koschny, and C. M. Soukoulis, “Magnetic response of metamaterials at 100 Terahertz,” Science 306,1351 (2004).
[Crossref] [PubMed]

Fainman, Y.

Fan, W.

Fang, N.

Fedotov, V. A.

V. A. Fedotov, P. L. Mladyonov, S. L. Prosvirnin, and N. I. Zheludev, “Planar electromagnetic metamaterial with a fish scale structure,” Phys. Rev. E 72,056613 (2005).
[Crossref]

Frauenglass, A.

Gundogdu, T. F.

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 (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]

Justice, B. J.

Kafesaki, M.

Katsarakis, N.

Kildishev, A. V.

H.-K. Yuan, U. K. Chettiar, W. Cai, A. V. Kildishev, A. Boltasseva, V. P. Drachev, and V. M. Shalaev, “A negative permeability material at red light,” Opt. Express 15,1078 (2007).
[Crossref]

U. K. Chettiar, A. V. Kildishev, T. A. Klar, and V. M. Shalaev, “Negative index metamaterial combining magnetic resonators with metal films,” Opt. Express 14,7872 (2006).
[Crossref] [PubMed]

Klar, T. A.

U. K. Chettiar, A. V. Kildishev, T. A. Klar, and V. M. Shalaev, “Negative index metamaterial combining magnetic resonators with metal films,” Opt. Express 14,7872 (2006).
[Crossref] [PubMed]

Klein, M. W.

Konstantinidis, G.

Koschny, T.

J. Zhou, L. Zhang, G. Tuttle, T. Koschny, and C. M. Soukoulis, “Negative index materials using simple short wire pairs,” Phys. Rev. B 73,041101(R) (2006).
[Crossref]

S. Linden, C. Enkrich, M. Wegener, J. Zhou, T. Koschny, and C. M. Soukoulis, “Magnetic response of metamaterials at 100 Terahertz,” Science 306,1351 (2004).
[Crossref] [PubMed]

Koschny, Th.

Kostopoulos, A.

Linden, S.

G. Dolling, C. Enkrich, M. Wegener, C. M. Soukoulis, and S. Linden, “Low-loss negative-index metamaterial at telecommunication wavelengths,” Opt. Lett. 31,1800 (2006).
[Crossref] [PubMed]

S. Linden, C. Enkrich, M. Wegener, J. Zhou, T. Koschny, and C. M. Soukoulis, “Magnetic response of metamaterials at 100 Terahertz,” Science 306,1351 (2004).
[Crossref] [PubMed]

Lomakin, V.

Lourtioz, J.-M.

A. Ourir, A. de Lustrac, and J.-M. Lourtioz, “All-metamaterial-based subwavelength cavities (λ/60) for ultrathin directive antennas,” Appl. Phys. Lett. 88,084103 (2006).
[Crossref]

Lustrac, A. de

A. Ourir, A. de Lustrac, and J.-M. Lourtioz, “All-metamaterial-based subwavelength cavities (λ/60) for ultrathin directive antennas,” Appl. Phys. Lett. 88,084103 (2006).
[Crossref]

Malloy, K. J.

Markos, P.

Markoš, P.

Minhas, B. K.

Mladyonov, P. L.

V. A. Fedotov, P. L. Mladyonov, S. L. Prosvirnin, and N. I. Zheludev, “Planar electromagnetic metamaterial with a fish scale structure,” Phys. Rev. E 72,056613 (2005).
[Crossref]

Mock, J. J.

Nemat-Nasser, S. C.

Osgood, R. M.

Ourir, A.

A. Ourir, A. de Lustrac, and J.-M. Lourtioz, “All-metamaterial-based subwavelength cavities (λ/60) for ultrathin directive antennas,” Appl. Phys. Lett. 88,084103 (2006).
[Crossref]

Padilla, W. J.

Panoiu, N. C.

Penciu, R. S.

Pendry, J. B.

J. B. Pendry, D. Schurig, and D. R. Smith, “Controlling electromagnetic fields,” Science 312,1780 (2006).
[Crossref] [PubMed]

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 (1999).
[Crossref]

Piestun, R.

B. T. Schwartz and R. Piestun, “Total external reflection from metamaterials with ultralow refractive index,” J. Opt. Soc. Am. B 20,2448 (2003).
[Crossref]

Podolskiy, V. A.

V. A. Podolskiy, A. K. Sarychev, and V. M. Shalaev, “Plasmon modes in metal nanowires and left-handed materials,” J. Nonlinear Opt. Phys. Mater. 11,65 (2002).
[Crossref]

Prosvirnin, S. L.

V. A. Fedotov, P. L. Mladyonov, S. L. Prosvirnin, and N. I. Zheludev, “Planar electromagnetic metamaterial with a fish scale structure,” Phys. Rev. E 72,056613 (2005).
[Crossref]

Puscasu, I.

I. Puscasu, W. L. Schaich, and G. D. Boreman, “Modeling parameters for the spectral behavior of infrared frequency-selective surfaces,” Appl. Opt. 40,118 (2001).
[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 (1999).
[Crossref]

Sarychev, A. K.

V. A. Podolskiy, A. K. Sarychev, and V. M. Shalaev, “Plasmon modes in metal nanowires and left-handed materials,” J. Nonlinear Opt. Phys. Mater. 11,65 (2002).
[Crossref]

Schaich, W. L.

I. Puscasu, W. L. Schaich, and G. D. Boreman, “Modeling parameters for the spectral behavior of infrared frequency-selective surfaces,” Appl. Opt. 40,118 (2001).
[Crossref]

Schmidt, F.

Schultz, S.

Schurig, D.

J. B. Pendry, D. Schurig, and D. R. Smith, “Controlling electromagnetic fields,” Science 312,1780 (2006).
[Crossref] [PubMed]

Schwartz, B. T.

B. T. Schwartz and R. Piestun, “Total external reflection from metamaterials with ultralow refractive index,” J. Opt. Soc. Am. B 20,2448 (2003).
[Crossref]

Shalaev, V. M.

H.-K. Yuan, U. K. Chettiar, W. Cai, A. V. Kildishev, A. Boltasseva, V. P. Drachev, and V. M. Shalaev, “A negative permeability material at red light,” Opt. Express 15,1078 (2007).
[Crossref]

U. K. Chettiar, A. V. Kildishev, T. A. Klar, and V. M. Shalaev, “Negative index metamaterial combining magnetic resonators with metal films,” Opt. Express 14,7872 (2006).
[Crossref] [PubMed]

V. A. Podolskiy, A. K. Sarychev, and V. M. Shalaev, “Plasmon modes in metal nanowires and left-handed materials,” J. Nonlinear Opt. Phys. Mater. 11,65 (2002).
[Crossref]

Shvets, G.

G. Shvets and Y. A. Urzhumov, “Negative index meta-materials based on two-dimensional metallic structures,” J. Opt. A 8,S122 (2006).
[Crossref]

Simovski, C. R.

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Fig. 1. Structure of the coupled nanostrip samples. (a) The cross-sectional schematic of arrays of coupled nanostrips; (b) The FE-SEM image of a typical sample; (c) The AFM image of a typical sample. Pictures in panels (b) and (c) correspond to sample E in Table 1.

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Fig. 2. Optical microscopy images of the magnetic samples for two orthogonal polarizations. (a) Transmission mode with TM polarization; (b) Transmission mode with TE polarization; (c) Reflection mode with TM polarization; (d) Reflection mode with TE polarization. Letters A-F correspond to the sample naming in Table 1.

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Fig.3. Experimental setup for collecting broadband transmission and reflection spectra of small samples.

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Fig 4. Transmission (T) and Reflection (R) spectra of the coupled nanostrip samples for two orthogonal polarizations. (a) T with TM polarization; (b) T with TE polarization; (c) R with TM polarization; (d) R with TE polarization. Letters A-F correspond to the sample naming in Table 1.

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Fig. 5. Transmission (T) and Reflection (R) and absorption (A, including diffractive scattering) spectra under TM polarization for a typical coupled nanostrip sample (Sample E) with three characteristic wavelengths marked. Solid lines show the experimental data, and dashed lines represent simulated results. The two cross-sectional schematics of the strip-pair illustrate the current modes at electric and magnetic resonances, respectively.

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Fig. 6. Simulated electric displacement and magnetic field distributions at (a) the electric resonance λ_e and (b) the magnetic resonance λ_m .

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Fig. 7. The dependence of the magnetic resonance wavelength λ_m on the average width w of the trapezoidal-shape paired strip samples, and the minimum values of permeability μ′ for the six samples around λ_m . Square: experimental data for λ_m as a function of w from Figs. 4(a) and 4(c); Triangles: analytical λ_m (w) relationship determined by Eq. (1); Diamond: retrieved minimum effective permeability for each sample.

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Tables (1)

Table 1. Geometric parameters of the magnetic nanostrip samples

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Equations (2)

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{ε′}_{m} (λ_{m}) = 1 - \frac{n_{d}^{2}}{tκ} [1 + \coth (\frac{dκ}{2})], κ = \sqrt{{(\frac{π}{w})}^{2} - {(\frac{2 π n_{d}}{λ_{m}})}^{2}},

λ_{m} = \sqrt{4 + \frac{n_{d}^{2} w}{πt} + \frac{2 n_{d}^{2} w^{2}}{π^{2} td}} λ_{p} .

Sample #	Bottom Width	Average Width	Periodicity	Coverage % ^*
Sample #	w_b	w	p	Coverage % ^*
A	95	50	191	0.50
B	118	69	218	0.54
C	127	83	245	0.52
D	143	98	273	0.52
E	164	118	300	0.55
F	173	127	300	0.58