Abstract

We studied the electromagnetic interaction between two asymmetric terahertz nano resonators, rectangular holes which have a few hundred micron lengths but nanoscale widths. We report that the dominant resonant transmission of the structures can be modulated by the horizontal distance between two rectangles due to the different oscillation strength of the asymmetric coupling at two different resonance frequencies. Our results are significant for an optimum design of rectangular holes in terahertz frequency regime for applications such as sensitive nanoparticle detection and terahertz filters.

© 2012 OSA

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    [CrossRef]
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  3. J. Bravo-Abad, A. Degiron, F. Przybilla, C. Genet, F. J. García-Vidal, L. Martín-Moreno, and T. W. Ebbesen, “How light emerges from an illuminated array of subwavelength holes,” Nat. Phys.2(2), 120–123 (2006).
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    [CrossRef]
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    [CrossRef]
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  30. E. Hendry, R. V. Mikhaylovskiy, L. D. Barron, M. Kadodwala, and T. J. Davis, “Chiral electromagnetic fields generated by arrays of nanoslits,” Nano Lett.12(7), 3640–3644 (2012).
    [CrossRef] [PubMed]
  31. H.-R. Park, Y.-M. Bahk, K. J. Ahn, Q. H. Park, D.-S. Kim, L. Martín-Moreno, F. J. García-Vidal, and J. Bravo-Abad, “Controlling terahertz radiation with nanoscale metal barriers embedded in nano slot antennas,” ACS Nano5(10), 8340–8345 (2011).
    [CrossRef] [PubMed]
  32. Y. M. Bahk, H. R. Park, K. J. Ahn, H. S. Kim, Y. H. Ahn, D.-S. Kim, J. Bravo-Abad, L. Martin-Moreno, and F. J. Garcia-Vidal, “Anomalous band formation in arrays of terahertz nanoresonators,” Phys. Rev. Lett.106(1), 013902 (2011).
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    [CrossRef]
  35. J. S. Kyoung, M. A. Seo, H. R. Park, K. J. Ahn, and D. S. Kim, “Far field detection of terahertz near field enhancement of sub-wavelength slits using Kirchhoff integral formalism,” Opt. Commun.283(24), 4907–4910 (2010).
    [CrossRef]
  36. M. A. Seo, H. R. Park, S. M. Koo, D. J. Park, J. H. Kang, O. K. Suwal, S. S. Choi, P. C. M. Planken, G. S. Park, N. K. Park, Q. H. Park, and D. S. Kim, “Terahertz field enhancement by a metallic nano slit operating beyond the skin-depth limit,” Nat. Photonics3(3), 152–156 (2009).
    [CrossRef]
  37. H. R. Park, Y. M. Park, H. S. Kim, J. S. Kyoung, M. A. Seo, D. J. Park, Y. H. Ahn, K. J. Ahn, and D. S. Kim, “Terahertz nanoresonators: giant field enhancement and ultrabroadband performance,” Appl. Phys. Lett.96(12), 121106 (2010).
    [CrossRef]
  38. F. J. García-Vidal, E. Moreno, J. A. Porto, and L. Martín-Moreno, “Transmission of light through a single rectangular hole,” Phys. Rev. Lett.95(10), 103901 (2005).
    [CrossRef] [PubMed]
  39. J. H. Kang, J.-H. Choe, D. S. Kim, and Q. H. Park, “Substrate effect on aperture resonances in a thin metal film,” Opt. Express17(18), 15652–15658 (2009).
    [CrossRef] [PubMed]
  40. J. Bravo-Abad, F. J. García-Vidal, and L. Martín-Moreno, “Resonant transmission of light through finite chains of subwavelength holes in a metallic film,” Phys. Rev. Lett.93(22), 227401 (2004).
    [CrossRef] [PubMed]

2012

E. Hendry, R. V. Mikhaylovskiy, L. D. Barron, M. Kadodwala, and T. J. Davis, “Chiral electromagnetic fields generated by arrays of nanoslits,” Nano Lett.12(7), 3640–3644 (2012).
[CrossRef] [PubMed]

2011

H.-R. Park, Y.-M. Bahk, K. J. Ahn, Q. H. Park, D.-S. Kim, L. Martín-Moreno, F. J. García-Vidal, and J. Bravo-Abad, “Controlling terahertz radiation with nanoscale metal barriers embedded in nano slot antennas,” ACS Nano5(10), 8340–8345 (2011).
[CrossRef] [PubMed]

Y. M. Bahk, H. R. Park, K. J. Ahn, H. S. Kim, Y. H. Ahn, D.-S. Kim, J. Bravo-Abad, L. Martin-Moreno, and F. J. Garcia-Vidal, “Anomalous band formation in arrays of terahertz nanoresonators,” Phys. Rev. Lett.106(1), 013902 (2011).
[CrossRef] [PubMed]

T. Shegai, S. Chen, V. D. Miljković, G. Zengin, P. Johansson, and M. Käll, “A bimetallic nanoantenna for directional colour routing,” Nat Commun2, 481 (2011).
[CrossRef] [PubMed]

M. Shalaby, H. Merbold, M. Peccianti, L. Razzari, G. Sharma, T. Ozaki, R. Morandotti, T. Feurer, A. Weber, L. Heyderman, B. Patterson, and H. Sigg, “Concurrent field enhancement and high transmission of THz radiation in nanoslit arrays,” Appl. Phys. Lett.99(4), 041110 (2011).
[CrossRef]

R. Taubert, R. Ameling, T. Weiss, A. Christ, and H. Giessen, “From near-field to far-field coupling in the third dimension: retarded interaction of particle plasmons,” Nano Lett.11(10), 4421–4424 (2011).
[CrossRef] [PubMed]

D. Weber, P. Albella, P. Alonso-González, F. Neubrech, H. Gui, T. Nagao, R. Hillenbrand, J. Aizpurua, and A. Pucci, “Longitudinal and transverse coupling in infrared gold nanoantenna arrays: long range versus short range interaction regimes,” Opt. Express19(16), 15047–15061 (2011).
[CrossRef] [PubMed]

N. J. Halas, S. Lal, W.-S. Chang, S. Link, and P. Nordlander, “Plasmons in strongly coupled metallic nanostructures,” Chem. Rev.111(6), 3913–3961 (2011).
[CrossRef] [PubMed]

A. Artar, A. A. Yanik, and H. Altug, “Multispectral plasmon induced transparency in coupled meta-atoms,” Nano Lett.11(4), 1685–1689 (2011).
[CrossRef] [PubMed]

2010

F. J. Garcia-Vidal, T. W. Ebbesen, and L. Kuipers, “Light passing through subwavelength apertures,” Rev. Mod. Phys.82(1), 729–787 (2010).
[CrossRef]

T. Kosako, Y. Kadoya, and H. F. Hofmann, “Directional control of light by a nano-optical Yagi-Uda antenna,” Nat. Photonics4(5), 312–315 (2010).
[CrossRef]

V. A. Fedotov, N. Papasimakis, E. Plum, A. Bitzer, M. Walther, P. Kuo, D. P. Tsai, and N. I. Zheludev, “Spectral collapse in ensembles of metamolecules,” Phys. Rev. Lett.104(22), 223901 (2010).
[CrossRef] [PubMed]

N. Liu and H. Giessen, “Coupling effects in optical metamaterials,” Angew. Chem. Int. Ed. Engl.49(51), 9838–9852 (2010).
[CrossRef] [PubMed]

M. Hentschel, M. Saliba, R. Vogelgesang, H. Giessen, A. P. Alivisatos, and N. Liu, “Transition from isolated to collective modes in plasmonic oligomers,” Nano Lett.10(7), 2721–2726 (2010).
[CrossRef] [PubMed]

J. S. Kyoung, M. A. Seo, H. R. Park, K. J. Ahn, and D. S. Kim, “Far field detection of terahertz near field enhancement of sub-wavelength slits using Kirchhoff integral formalism,” Opt. Commun.283(24), 4907–4910 (2010).
[CrossRef]

H. R. Park, Y. M. Park, H. S. Kim, J. S. Kyoung, M. A. Seo, D. J. Park, Y. H. Ahn, K. J. Ahn, and D. S. Kim, “Terahertz nanoresonators: giant field enhancement and ultrabroadband performance,” Appl. Phys. Lett.96(12), 121106 (2010).
[CrossRef]

2009

M. A. Seo, H. R. Park, S. M. Koo, D. J. Park, J. H. Kang, O. K. Suwal, S. S. Choi, P. C. M. Planken, G. S. Park, N. K. Park, Q. H. Park, and D. S. Kim, “Terahertz field enhancement by a metallic nano slit operating beyond the skin-depth limit,” Nat. Photonics3(3), 152–156 (2009).
[CrossRef]

C.-Y. Chen, I.-W. Un, N.-H. Tai, and T.-J. Yen, “Asymmetric coupling between subradiant and superradiant plasmonic resonances and its enhanced sensing performance,” Opt. Express17(17), 15372–15380 (2009).
[CrossRef] [PubMed]

Z. Liu and G. Jin, “Phase effects in the enhanced transmission through compound subwavelength rectangular hole arrays,” J. Appl. Phys.106(6), 063122–063126 (2009).
[CrossRef]

I. Sersic, M. Frimmer, E. Verhagen, and A. F. Koenderink, “Electric and magnetic dipole coupling in near-infrared split-ring metamaterial arrays,” Phys. Rev. Lett.103(21), 213902 (2009).
[CrossRef] [PubMed]

H. Fischer and O. J. F. Martin, “Retardation-induced plasmonic blinking in coupled nanoparticles,” Opt. Lett.34(3), 368–370 (2009).
[CrossRef] [PubMed]

D. S. Kim, J. Heo, S. H. Ahn, S. W. Han, W. S. Yun, and Z. H. Kim, “Real-space mapping of the strongly coupled plasmons of nanoparticle dimers,” Nano Lett.9(10), 3619–3625 (2009).
[CrossRef] [PubMed]

J. H. Kang, J.-H. Choe, D. S. Kim, and Q. H. Park, “Substrate effect on aperture resonances in a thin metal film,” Opt. Express17(18), 15652–15658 (2009).
[CrossRef] [PubMed]

2008

B. Auguié and W. L. Barnes, “Collective resonances in gold nanoparticle arrays,” Phys. Rev. Lett.101(14), 143902 (2008).
[CrossRef] [PubMed]

P. Olk, J. Renger, M. T. Wenzel, and L. M. Eng, “Distance dependent spectral tuning of two coupled metal nanoparticles,” Nano Lett.8(4), 1174–1178 (2008).
[CrossRef] [PubMed]

A. Christ, O. J. F. Martin, Y. Ekinci, N. A. Gippius, and S. G. Tikhodeev, “Symmetry breaking in a plasmonic metamaterial at optical wavelength,” Nano Lett.8(8), 2171–2175 (2008).
[CrossRef] [PubMed]

2007

V. A. Fedotov, M. Rose, S. L. Prosvirnin, N. Papasimakis, and N. I. Zheludev, “Sharp trapped-mode resonances in planar metamaterials with a broken structural symmetry,” Phys. Rev. Lett.99(14), 147401 (2007).
[CrossRef] [PubMed]

A. Christ, Y. Ekinci, H. H. Solak, N. A. Gippius, S. G. Tikhodeev, and O. J. F. Martin, “Controlling the fano interference in a plasmonic lattice,” Phys. Rev. B76(20), 201405 (2007).
[CrossRef]

A. I. Fernández-Domínguez, F. J. García-Vidal, and L. Martín-Moreno, “Resonant transmission of light through finite arrays of slits,” Phys. Rev. B76(23), 235430 (2007).
[CrossRef]

A. Mary, S. G. Rodrigo, L. Martín-Moreno, and F. J. García-Vidal, “Theory of light transmission through an array of rectangular holes,” Phys. Rev. B76(19), 195414 (2007).
[CrossRef]

C. Genet and T. W. Ebbesen, “Light in tiny holes,” Nature445(7123), 39–46 (2007).
[CrossRef] [PubMed]

2006

J. Bravo-Abad, A. Degiron, F. Przybilla, C. Genet, F. J. García-Vidal, L. Martín-Moreno, and T. W. Ebbesen, “How light emerges from an illuminated array of subwavelength holes,” Nat. Phys.2(2), 120–123 (2006).
[CrossRef]

Z. Ruan and M. Qiu, “Enhanced transmission through periodic arrays of subwavelength holes: the role of localized waveguide resonances,” Phys. Rev. Lett.96(23), 233901 (2006).
[CrossRef] [PubMed]

2005

F. J. García-Vidal, E. Moreno, J. A. Porto, and L. Martín-Moreno, “Transmission of light through a single rectangular hole,” Phys. Rev. Lett.95(10), 103901 (2005).
[CrossRef] [PubMed]

A. Degiron and T. W. Ebbesen, “The role of localized surface plasmon modes in the enhanced transmission of periodic subwavelength apertures,” J. Opt. A, Pure Appl. Opt.7(2), S90–S96 (2005).
[CrossRef]

2004

J. B. Pendry, L. Martín-Moreno, and F. J. Garcia-Vidal, “Mimicking surface plasmons with structured surfaces,” Science305(5685), 847–848 (2004).
[CrossRef] [PubMed]

J. Bravo-Abad, F. J. García-Vidal, and L. Martín-Moreno, “Resonant transmission of light through finite chains of subwavelength holes in a metallic film,” Phys. Rev. Lett.93(22), 227401 (2004).
[CrossRef] [PubMed]

1998

T. W. Ebbesen, H. J. Lezec, H. F. Ghaemi, T. Thio, and P. A. Wolff, “Extraordinary optical transmission through sub-wavelength hole arrays,” Nature391(6668), 667–669 (1998).
[CrossRef]

1996

Q. Wu, M. Litz, and X.-C. Zhang, “Broadband detection capability of ZnTe electro‐optic field detectors,” Appl. Phys. Lett.68(21), 2924–2926 (1996).
[CrossRef]

1989

Ahn, K. J.

H.-R. Park, Y.-M. Bahk, K. J. Ahn, Q. H. Park, D.-S. Kim, L. Martín-Moreno, F. J. García-Vidal, and J. Bravo-Abad, “Controlling terahertz radiation with nanoscale metal barriers embedded in nano slot antennas,” ACS Nano5(10), 8340–8345 (2011).
[CrossRef] [PubMed]

Y. M. Bahk, H. R. Park, K. J. Ahn, H. S. Kim, Y. H. Ahn, D.-S. Kim, J. Bravo-Abad, L. Martin-Moreno, and F. J. Garcia-Vidal, “Anomalous band formation in arrays of terahertz nanoresonators,” Phys. Rev. Lett.106(1), 013902 (2011).
[CrossRef] [PubMed]

J. S. Kyoung, M. A. Seo, H. R. Park, K. J. Ahn, and D. S. Kim, “Far field detection of terahertz near field enhancement of sub-wavelength slits using Kirchhoff integral formalism,” Opt. Commun.283(24), 4907–4910 (2010).
[CrossRef]

H. R. Park, Y. M. Park, H. S. Kim, J. S. Kyoung, M. A. Seo, D. J. Park, Y. H. Ahn, K. J. Ahn, and D. S. Kim, “Terahertz nanoresonators: giant field enhancement and ultrabroadband performance,” Appl. Phys. Lett.96(12), 121106 (2010).
[CrossRef]

Ahn, S. H.

D. S. Kim, J. Heo, S. H. Ahn, S. W. Han, W. S. Yun, and Z. H. Kim, “Real-space mapping of the strongly coupled plasmons of nanoparticle dimers,” Nano Lett.9(10), 3619–3625 (2009).
[CrossRef] [PubMed]

Ahn, Y. H.

Y. M. Bahk, H. R. Park, K. J. Ahn, H. S. Kim, Y. H. Ahn, D.-S. Kim, J. Bravo-Abad, L. Martin-Moreno, and F. J. Garcia-Vidal, “Anomalous band formation in arrays of terahertz nanoresonators,” Phys. Rev. Lett.106(1), 013902 (2011).
[CrossRef] [PubMed]

H. R. Park, Y. M. Park, H. S. Kim, J. S. Kyoung, M. A. Seo, D. J. Park, Y. H. Ahn, K. J. Ahn, and D. S. Kim, “Terahertz nanoresonators: giant field enhancement and ultrabroadband performance,” Appl. Phys. Lett.96(12), 121106 (2010).
[CrossRef]

Aizpurua, J.

Albella, P.

Alivisatos, A. P.

M. Hentschel, M. Saliba, R. Vogelgesang, H. Giessen, A. P. Alivisatos, and N. Liu, “Transition from isolated to collective modes in plasmonic oligomers,” Nano Lett.10(7), 2721–2726 (2010).
[CrossRef] [PubMed]

Alonso-González, P.

Altug, H.

A. Artar, A. A. Yanik, and H. Altug, “Multispectral plasmon induced transparency in coupled meta-atoms,” Nano Lett.11(4), 1685–1689 (2011).
[CrossRef] [PubMed]

Ameling, R.

R. Taubert, R. Ameling, T. Weiss, A. Christ, and H. Giessen, “From near-field to far-field coupling in the third dimension: retarded interaction of particle plasmons,” Nano Lett.11(10), 4421–4424 (2011).
[CrossRef] [PubMed]

Artar, A.

A. Artar, A. A. Yanik, and H. Altug, “Multispectral plasmon induced transparency in coupled meta-atoms,” Nano Lett.11(4), 1685–1689 (2011).
[CrossRef] [PubMed]

Auguié, B.

B. Auguié and W. L. Barnes, “Collective resonances in gold nanoparticle arrays,” Phys. Rev. Lett.101(14), 143902 (2008).
[CrossRef] [PubMed]

Bahk, Y. M.

Y. M. Bahk, H. R. Park, K. J. Ahn, H. S. Kim, Y. H. Ahn, D.-S. Kim, J. Bravo-Abad, L. Martin-Moreno, and F. J. Garcia-Vidal, “Anomalous band formation in arrays of terahertz nanoresonators,” Phys. Rev. Lett.106(1), 013902 (2011).
[CrossRef] [PubMed]

Bahk, Y.-M.

H.-R. Park, Y.-M. Bahk, K. J. Ahn, Q. H. Park, D.-S. Kim, L. Martín-Moreno, F. J. García-Vidal, and J. Bravo-Abad, “Controlling terahertz radiation with nanoscale metal barriers embedded in nano slot antennas,” ACS Nano5(10), 8340–8345 (2011).
[CrossRef] [PubMed]

Barnes, W. L.

B. Auguié and W. L. Barnes, “Collective resonances in gold nanoparticle arrays,” Phys. Rev. Lett.101(14), 143902 (2008).
[CrossRef] [PubMed]

Barron, L. D.

E. Hendry, R. V. Mikhaylovskiy, L. D. Barron, M. Kadodwala, and T. J. Davis, “Chiral electromagnetic fields generated by arrays of nanoslits,” Nano Lett.12(7), 3640–3644 (2012).
[CrossRef] [PubMed]

Bitzer, A.

V. A. Fedotov, N. Papasimakis, E. Plum, A. Bitzer, M. Walther, P. Kuo, D. P. Tsai, and N. I. Zheludev, “Spectral collapse in ensembles of metamolecules,” Phys. Rev. Lett.104(22), 223901 (2010).
[CrossRef] [PubMed]

Bravo-Abad, J.

H.-R. Park, Y.-M. Bahk, K. J. Ahn, Q. H. Park, D.-S. Kim, L. Martín-Moreno, F. J. García-Vidal, and J. Bravo-Abad, “Controlling terahertz radiation with nanoscale metal barriers embedded in nano slot antennas,” ACS Nano5(10), 8340–8345 (2011).
[CrossRef] [PubMed]

Y. M. Bahk, H. R. Park, K. J. Ahn, H. S. Kim, Y. H. Ahn, D.-S. Kim, J. Bravo-Abad, L. Martin-Moreno, and F. J. Garcia-Vidal, “Anomalous band formation in arrays of terahertz nanoresonators,” Phys. Rev. Lett.106(1), 013902 (2011).
[CrossRef] [PubMed]

J. Bravo-Abad, A. Degiron, F. Przybilla, C. Genet, F. J. García-Vidal, L. Martín-Moreno, and T. W. Ebbesen, “How light emerges from an illuminated array of subwavelength holes,” Nat. Phys.2(2), 120–123 (2006).
[CrossRef]

J. Bravo-Abad, F. J. García-Vidal, and L. Martín-Moreno, “Resonant transmission of light through finite chains of subwavelength holes in a metallic film,” Phys. Rev. Lett.93(22), 227401 (2004).
[CrossRef] [PubMed]

Chang, W.-S.

N. J. Halas, S. Lal, W.-S. Chang, S. Link, and P. Nordlander, “Plasmons in strongly coupled metallic nanostructures,” Chem. Rev.111(6), 3913–3961 (2011).
[CrossRef] [PubMed]

Chen, C.-Y.

Chen, S.

T. Shegai, S. Chen, V. D. Miljković, G. Zengin, P. Johansson, and M. Käll, “A bimetallic nanoantenna for directional colour routing,” Nat Commun2, 481 (2011).
[CrossRef] [PubMed]

Choe, J.-H.

Choi, S. S.

M. A. Seo, H. R. Park, S. M. Koo, D. J. Park, J. H. Kang, O. K. Suwal, S. S. Choi, P. C. M. Planken, G. S. Park, N. K. Park, Q. H. Park, and D. S. Kim, “Terahertz field enhancement by a metallic nano slit operating beyond the skin-depth limit,” Nat. Photonics3(3), 152–156 (2009).
[CrossRef]

Christ, A.

R. Taubert, R. Ameling, T. Weiss, A. Christ, and H. Giessen, “From near-field to far-field coupling in the third dimension: retarded interaction of particle plasmons,” Nano Lett.11(10), 4421–4424 (2011).
[CrossRef] [PubMed]

A. Christ, O. J. F. Martin, Y. Ekinci, N. A. Gippius, and S. G. Tikhodeev, “Symmetry breaking in a plasmonic metamaterial at optical wavelength,” Nano Lett.8(8), 2171–2175 (2008).
[CrossRef] [PubMed]

A. Christ, Y. Ekinci, H. H. Solak, N. A. Gippius, S. G. Tikhodeev, and O. J. F. Martin, “Controlling the fano interference in a plasmonic lattice,” Phys. Rev. B76(20), 201405 (2007).
[CrossRef]

Davis, T. J.

E. Hendry, R. V. Mikhaylovskiy, L. D. Barron, M. Kadodwala, and T. J. Davis, “Chiral electromagnetic fields generated by arrays of nanoslits,” Nano Lett.12(7), 3640–3644 (2012).
[CrossRef] [PubMed]

Degiron, A.

J. Bravo-Abad, A. Degiron, F. Przybilla, C. Genet, F. J. García-Vidal, L. Martín-Moreno, and T. W. Ebbesen, “How light emerges from an illuminated array of subwavelength holes,” Nat. Phys.2(2), 120–123 (2006).
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A. Degiron and T. W. Ebbesen, “The role of localized surface plasmon modes in the enhanced transmission of periodic subwavelength apertures,” J. Opt. A, Pure Appl. Opt.7(2), S90–S96 (2005).
[CrossRef]

Ebbesen, T. W.

F. J. Garcia-Vidal, T. W. Ebbesen, and L. Kuipers, “Light passing through subwavelength apertures,” Rev. Mod. Phys.82(1), 729–787 (2010).
[CrossRef]

C. Genet and T. W. Ebbesen, “Light in tiny holes,” Nature445(7123), 39–46 (2007).
[CrossRef] [PubMed]

J. Bravo-Abad, A. Degiron, F. Przybilla, C. Genet, F. J. García-Vidal, L. Martín-Moreno, and T. W. Ebbesen, “How light emerges from an illuminated array of subwavelength holes,” Nat. Phys.2(2), 120–123 (2006).
[CrossRef]

A. Degiron and T. W. Ebbesen, “The role of localized surface plasmon modes in the enhanced transmission of periodic subwavelength apertures,” J. Opt. A, Pure Appl. Opt.7(2), S90–S96 (2005).
[CrossRef]

T. W. Ebbesen, H. J. Lezec, H. F. Ghaemi, T. Thio, and P. A. Wolff, “Extraordinary optical transmission through sub-wavelength hole arrays,” Nature391(6668), 667–669 (1998).
[CrossRef]

Ekinci, Y.

A. Christ, O. J. F. Martin, Y. Ekinci, N. A. Gippius, and S. G. Tikhodeev, “Symmetry breaking in a plasmonic metamaterial at optical wavelength,” Nano Lett.8(8), 2171–2175 (2008).
[CrossRef] [PubMed]

A. Christ, Y. Ekinci, H. H. Solak, N. A. Gippius, S. G. Tikhodeev, and O. J. F. Martin, “Controlling the fano interference in a plasmonic lattice,” Phys. Rev. B76(20), 201405 (2007).
[CrossRef]

Eng, L. M.

P. Olk, J. Renger, M. T. Wenzel, and L. M. Eng, “Distance dependent spectral tuning of two coupled metal nanoparticles,” Nano Lett.8(4), 1174–1178 (2008).
[CrossRef] [PubMed]

Exter, M.

Fattinger, C.

Fedotov, V. A.

V. A. Fedotov, N. Papasimakis, E. Plum, A. Bitzer, M. Walther, P. Kuo, D. P. Tsai, and N. I. Zheludev, “Spectral collapse in ensembles of metamolecules,” Phys. Rev. Lett.104(22), 223901 (2010).
[CrossRef] [PubMed]

V. A. Fedotov, M. Rose, S. L. Prosvirnin, N. Papasimakis, and N. I. Zheludev, “Sharp trapped-mode resonances in planar metamaterials with a broken structural symmetry,” Phys. Rev. Lett.99(14), 147401 (2007).
[CrossRef] [PubMed]

Fernández-Domínguez, A. I.

A. I. Fernández-Domínguez, F. J. García-Vidal, and L. Martín-Moreno, “Resonant transmission of light through finite arrays of slits,” Phys. Rev. B76(23), 235430 (2007).
[CrossRef]

Feurer, T.

M. Shalaby, H. Merbold, M. Peccianti, L. Razzari, G. Sharma, T. Ozaki, R. Morandotti, T. Feurer, A. Weber, L. Heyderman, B. Patterson, and H. Sigg, “Concurrent field enhancement and high transmission of THz radiation in nanoslit arrays,” Appl. Phys. Lett.99(4), 041110 (2011).
[CrossRef]

Fischer, H.

Frimmer, M.

I. Sersic, M. Frimmer, E. Verhagen, and A. F. Koenderink, “Electric and magnetic dipole coupling in near-infrared split-ring metamaterial arrays,” Phys. Rev. Lett.103(21), 213902 (2009).
[CrossRef] [PubMed]

Garcia-Vidal, F. J.

Y. M. Bahk, H. R. Park, K. J. Ahn, H. S. Kim, Y. H. Ahn, D.-S. Kim, J. Bravo-Abad, L. Martin-Moreno, and F. J. Garcia-Vidal, “Anomalous band formation in arrays of terahertz nanoresonators,” Phys. Rev. Lett.106(1), 013902 (2011).
[CrossRef] [PubMed]

F. J. Garcia-Vidal, T. W. Ebbesen, and L. Kuipers, “Light passing through subwavelength apertures,” Rev. Mod. Phys.82(1), 729–787 (2010).
[CrossRef]

J. B. Pendry, L. Martín-Moreno, and F. J. Garcia-Vidal, “Mimicking surface plasmons with structured surfaces,” Science305(5685), 847–848 (2004).
[CrossRef] [PubMed]

García-Vidal, F. J.

H.-R. Park, Y.-M. Bahk, K. J. Ahn, Q. H. Park, D.-S. Kim, L. Martín-Moreno, F. J. García-Vidal, and J. Bravo-Abad, “Controlling terahertz radiation with nanoscale metal barriers embedded in nano slot antennas,” ACS Nano5(10), 8340–8345 (2011).
[CrossRef] [PubMed]

A. I. Fernández-Domínguez, F. J. García-Vidal, and L. Martín-Moreno, “Resonant transmission of light through finite arrays of slits,” Phys. Rev. B76(23), 235430 (2007).
[CrossRef]

A. Mary, S. G. Rodrigo, L. Martín-Moreno, and F. J. García-Vidal, “Theory of light transmission through an array of rectangular holes,” Phys. Rev. B76(19), 195414 (2007).
[CrossRef]

J. Bravo-Abad, A. Degiron, F. Przybilla, C. Genet, F. J. García-Vidal, L. Martín-Moreno, and T. W. Ebbesen, “How light emerges from an illuminated array of subwavelength holes,” Nat. Phys.2(2), 120–123 (2006).
[CrossRef]

F. J. García-Vidal, E. Moreno, J. A. Porto, and L. Martín-Moreno, “Transmission of light through a single rectangular hole,” Phys. Rev. Lett.95(10), 103901 (2005).
[CrossRef] [PubMed]

J. Bravo-Abad, F. J. García-Vidal, and L. Martín-Moreno, “Resonant transmission of light through finite chains of subwavelength holes in a metallic film,” Phys. Rev. Lett.93(22), 227401 (2004).
[CrossRef] [PubMed]

Genet, C.

C. Genet and T. W. Ebbesen, “Light in tiny holes,” Nature445(7123), 39–46 (2007).
[CrossRef] [PubMed]

J. Bravo-Abad, A. Degiron, F. Przybilla, C. Genet, F. J. García-Vidal, L. Martín-Moreno, and T. W. Ebbesen, “How light emerges from an illuminated array of subwavelength holes,” Nat. Phys.2(2), 120–123 (2006).
[CrossRef]

Ghaemi, H. F.

T. W. Ebbesen, H. J. Lezec, H. F. Ghaemi, T. Thio, and P. A. Wolff, “Extraordinary optical transmission through sub-wavelength hole arrays,” Nature391(6668), 667–669 (1998).
[CrossRef]

Giessen, H.

R. Taubert, R. Ameling, T. Weiss, A. Christ, and H. Giessen, “From near-field to far-field coupling in the third dimension: retarded interaction of particle plasmons,” Nano Lett.11(10), 4421–4424 (2011).
[CrossRef] [PubMed]

M. Hentschel, M. Saliba, R. Vogelgesang, H. Giessen, A. P. Alivisatos, and N. Liu, “Transition from isolated to collective modes in plasmonic oligomers,” Nano Lett.10(7), 2721–2726 (2010).
[CrossRef] [PubMed]

N. Liu and H. Giessen, “Coupling effects in optical metamaterials,” Angew. Chem. Int. Ed. Engl.49(51), 9838–9852 (2010).
[CrossRef] [PubMed]

Gippius, N. A.

A. Christ, O. J. F. Martin, Y. Ekinci, N. A. Gippius, and S. G. Tikhodeev, “Symmetry breaking in a plasmonic metamaterial at optical wavelength,” Nano Lett.8(8), 2171–2175 (2008).
[CrossRef] [PubMed]

A. Christ, Y. Ekinci, H. H. Solak, N. A. Gippius, S. G. Tikhodeev, and O. J. F. Martin, “Controlling the fano interference in a plasmonic lattice,” Phys. Rev. B76(20), 201405 (2007).
[CrossRef]

Grischkowsky, D.

Gui, H.

Halas, N. J.

N. J. Halas, S. Lal, W.-S. Chang, S. Link, and P. Nordlander, “Plasmons in strongly coupled metallic nanostructures,” Chem. Rev.111(6), 3913–3961 (2011).
[CrossRef] [PubMed]

Han, S. W.

D. S. Kim, J. Heo, S. H. Ahn, S. W. Han, W. S. Yun, and Z. H. Kim, “Real-space mapping of the strongly coupled plasmons of nanoparticle dimers,” Nano Lett.9(10), 3619–3625 (2009).
[CrossRef] [PubMed]

Hendry, E.

E. Hendry, R. V. Mikhaylovskiy, L. D. Barron, M. Kadodwala, and T. J. Davis, “Chiral electromagnetic fields generated by arrays of nanoslits,” Nano Lett.12(7), 3640–3644 (2012).
[CrossRef] [PubMed]

Hentschel, M.

M. Hentschel, M. Saliba, R. Vogelgesang, H. Giessen, A. P. Alivisatos, and N. Liu, “Transition from isolated to collective modes in plasmonic oligomers,” Nano Lett.10(7), 2721–2726 (2010).
[CrossRef] [PubMed]

Heo, J.

D. S. Kim, J. Heo, S. H. Ahn, S. W. Han, W. S. Yun, and Z. H. Kim, “Real-space mapping of the strongly coupled plasmons of nanoparticle dimers,” Nano Lett.9(10), 3619–3625 (2009).
[CrossRef] [PubMed]

Heyderman, L.

M. Shalaby, H. Merbold, M. Peccianti, L. Razzari, G. Sharma, T. Ozaki, R. Morandotti, T. Feurer, A. Weber, L. Heyderman, B. Patterson, and H. Sigg, “Concurrent field enhancement and high transmission of THz radiation in nanoslit arrays,” Appl. Phys. Lett.99(4), 041110 (2011).
[CrossRef]

Hillenbrand, R.

Hofmann, H. F.

T. Kosako, Y. Kadoya, and H. F. Hofmann, “Directional control of light by a nano-optical Yagi-Uda antenna,” Nat. Photonics4(5), 312–315 (2010).
[CrossRef]

Jin, G.

Z. Liu and G. Jin, “Phase effects in the enhanced transmission through compound subwavelength rectangular hole arrays,” J. Appl. Phys.106(6), 063122–063126 (2009).
[CrossRef]

Johansson, P.

T. Shegai, S. Chen, V. D. Miljković, G. Zengin, P. Johansson, and M. Käll, “A bimetallic nanoantenna for directional colour routing,” Nat Commun2, 481 (2011).
[CrossRef] [PubMed]

Kadodwala, M.

E. Hendry, R. V. Mikhaylovskiy, L. D. Barron, M. Kadodwala, and T. J. Davis, “Chiral electromagnetic fields generated by arrays of nanoslits,” Nano Lett.12(7), 3640–3644 (2012).
[CrossRef] [PubMed]

Kadoya, Y.

T. Kosako, Y. Kadoya, and H. F. Hofmann, “Directional control of light by a nano-optical Yagi-Uda antenna,” Nat. Photonics4(5), 312–315 (2010).
[CrossRef]

Käll, M.

T. Shegai, S. Chen, V. D. Miljković, G. Zengin, P. Johansson, and M. Käll, “A bimetallic nanoantenna for directional colour routing,” Nat Commun2, 481 (2011).
[CrossRef] [PubMed]

Kang, J. H.

M. A. Seo, H. R. Park, S. M. Koo, D. J. Park, J. H. Kang, O. K. Suwal, S. S. Choi, P. C. M. Planken, G. S. Park, N. K. Park, Q. H. Park, and D. S. Kim, “Terahertz field enhancement by a metallic nano slit operating beyond the skin-depth limit,” Nat. Photonics3(3), 152–156 (2009).
[CrossRef]

J. H. Kang, J.-H. Choe, D. S. Kim, and Q. H. Park, “Substrate effect on aperture resonances in a thin metal film,” Opt. Express17(18), 15652–15658 (2009).
[CrossRef] [PubMed]

Kim, D. S.

H. R. Park, Y. M. Park, H. S. Kim, J. S. Kyoung, M. A. Seo, D. J. Park, Y. H. Ahn, K. J. Ahn, and D. S. Kim, “Terahertz nanoresonators: giant field enhancement and ultrabroadband performance,” Appl. Phys. Lett.96(12), 121106 (2010).
[CrossRef]

J. S. Kyoung, M. A. Seo, H. R. Park, K. J. Ahn, and D. S. Kim, “Far field detection of terahertz near field enhancement of sub-wavelength slits using Kirchhoff integral formalism,” Opt. Commun.283(24), 4907–4910 (2010).
[CrossRef]

M. A. Seo, H. R. Park, S. M. Koo, D. J. Park, J. H. Kang, O. K. Suwal, S. S. Choi, P. C. M. Planken, G. S. Park, N. K. Park, Q. H. Park, and D. S. Kim, “Terahertz field enhancement by a metallic nano slit operating beyond the skin-depth limit,” Nat. Photonics3(3), 152–156 (2009).
[CrossRef]

J. H. Kang, J.-H. Choe, D. S. Kim, and Q. H. Park, “Substrate effect on aperture resonances in a thin metal film,” Opt. Express17(18), 15652–15658 (2009).
[CrossRef] [PubMed]

D. S. Kim, J. Heo, S. H. Ahn, S. W. Han, W. S. Yun, and Z. H. Kim, “Real-space mapping of the strongly coupled plasmons of nanoparticle dimers,” Nano Lett.9(10), 3619–3625 (2009).
[CrossRef] [PubMed]

Kim, D.-S.

H.-R. Park, Y.-M. Bahk, K. J. Ahn, Q. H. Park, D.-S. Kim, L. Martín-Moreno, F. J. García-Vidal, and J. Bravo-Abad, “Controlling terahertz radiation with nanoscale metal barriers embedded in nano slot antennas,” ACS Nano5(10), 8340–8345 (2011).
[CrossRef] [PubMed]

Y. M. Bahk, H. R. Park, K. J. Ahn, H. S. Kim, Y. H. Ahn, D.-S. Kim, J. Bravo-Abad, L. Martin-Moreno, and F. J. Garcia-Vidal, “Anomalous band formation in arrays of terahertz nanoresonators,” Phys. Rev. Lett.106(1), 013902 (2011).
[CrossRef] [PubMed]

Kim, H. S.

Y. M. Bahk, H. R. Park, K. J. Ahn, H. S. Kim, Y. H. Ahn, D.-S. Kim, J. Bravo-Abad, L. Martin-Moreno, and F. J. Garcia-Vidal, “Anomalous band formation in arrays of terahertz nanoresonators,” Phys. Rev. Lett.106(1), 013902 (2011).
[CrossRef] [PubMed]

H. R. Park, Y. M. Park, H. S. Kim, J. S. Kyoung, M. A. Seo, D. J. Park, Y. H. Ahn, K. J. Ahn, and D. S. Kim, “Terahertz nanoresonators: giant field enhancement and ultrabroadband performance,” Appl. Phys. Lett.96(12), 121106 (2010).
[CrossRef]

Kim, Z. H.

D. S. Kim, J. Heo, S. H. Ahn, S. W. Han, W. S. Yun, and Z. H. Kim, “Real-space mapping of the strongly coupled plasmons of nanoparticle dimers,” Nano Lett.9(10), 3619–3625 (2009).
[CrossRef] [PubMed]

Koenderink, A. F.

I. Sersic, M. Frimmer, E. Verhagen, and A. F. Koenderink, “Electric and magnetic dipole coupling in near-infrared split-ring metamaterial arrays,” Phys. Rev. Lett.103(21), 213902 (2009).
[CrossRef] [PubMed]

Koo, S. M.

M. A. Seo, H. R. Park, S. M. Koo, D. J. Park, J. H. Kang, O. K. Suwal, S. S. Choi, P. C. M. Planken, G. S. Park, N. K. Park, Q. H. Park, and D. S. Kim, “Terahertz field enhancement by a metallic nano slit operating beyond the skin-depth limit,” Nat. Photonics3(3), 152–156 (2009).
[CrossRef]

Kosako, T.

T. Kosako, Y. Kadoya, and H. F. Hofmann, “Directional control of light by a nano-optical Yagi-Uda antenna,” Nat. Photonics4(5), 312–315 (2010).
[CrossRef]

Kuipers, L.

F. J. Garcia-Vidal, T. W. Ebbesen, and L. Kuipers, “Light passing through subwavelength apertures,” Rev. Mod. Phys.82(1), 729–787 (2010).
[CrossRef]

Kuo, P.

V. A. Fedotov, N. Papasimakis, E. Plum, A. Bitzer, M. Walther, P. Kuo, D. P. Tsai, and N. I. Zheludev, “Spectral collapse in ensembles of metamolecules,” Phys. Rev. Lett.104(22), 223901 (2010).
[CrossRef] [PubMed]

Kyoung, J. S.

H. R. Park, Y. M. Park, H. S. Kim, J. S. Kyoung, M. A. Seo, D. J. Park, Y. H. Ahn, K. J. Ahn, and D. S. Kim, “Terahertz nanoresonators: giant field enhancement and ultrabroadband performance,” Appl. Phys. Lett.96(12), 121106 (2010).
[CrossRef]

J. S. Kyoung, M. A. Seo, H. R. Park, K. J. Ahn, and D. S. Kim, “Far field detection of terahertz near field enhancement of sub-wavelength slits using Kirchhoff integral formalism,” Opt. Commun.283(24), 4907–4910 (2010).
[CrossRef]

Lal, S.

N. J. Halas, S. Lal, W.-S. Chang, S. Link, and P. Nordlander, “Plasmons in strongly coupled metallic nanostructures,” Chem. Rev.111(6), 3913–3961 (2011).
[CrossRef] [PubMed]

Lezec, H. J.

T. W. Ebbesen, H. J. Lezec, H. F. Ghaemi, T. Thio, and P. A. Wolff, “Extraordinary optical transmission through sub-wavelength hole arrays,” Nature391(6668), 667–669 (1998).
[CrossRef]

Link, S.

N. J. Halas, S. Lal, W.-S. Chang, S. Link, and P. Nordlander, “Plasmons in strongly coupled metallic nanostructures,” Chem. Rev.111(6), 3913–3961 (2011).
[CrossRef] [PubMed]

Litz, M.

Q. Wu, M. Litz, and X.-C. Zhang, “Broadband detection capability of ZnTe electro‐optic field detectors,” Appl. Phys. Lett.68(21), 2924–2926 (1996).
[CrossRef]

Liu, N.

N. Liu and H. Giessen, “Coupling effects in optical metamaterials,” Angew. Chem. Int. Ed. Engl.49(51), 9838–9852 (2010).
[CrossRef] [PubMed]

M. Hentschel, M. Saliba, R. Vogelgesang, H. Giessen, A. P. Alivisatos, and N. Liu, “Transition from isolated to collective modes in plasmonic oligomers,” Nano Lett.10(7), 2721–2726 (2010).
[CrossRef] [PubMed]

Liu, Z.

Z. Liu and G. Jin, “Phase effects in the enhanced transmission through compound subwavelength rectangular hole arrays,” J. Appl. Phys.106(6), 063122–063126 (2009).
[CrossRef]

Martin, O. J. F.

H. Fischer and O. J. F. Martin, “Retardation-induced plasmonic blinking in coupled nanoparticles,” Opt. Lett.34(3), 368–370 (2009).
[CrossRef] [PubMed]

A. Christ, O. J. F. Martin, Y. Ekinci, N. A. Gippius, and S. G. Tikhodeev, “Symmetry breaking in a plasmonic metamaterial at optical wavelength,” Nano Lett.8(8), 2171–2175 (2008).
[CrossRef] [PubMed]

A. Christ, Y. Ekinci, H. H. Solak, N. A. Gippius, S. G. Tikhodeev, and O. J. F. Martin, “Controlling the fano interference in a plasmonic lattice,” Phys. Rev. B76(20), 201405 (2007).
[CrossRef]

Martin-Moreno, L.

Y. M. Bahk, H. R. Park, K. J. Ahn, H. S. Kim, Y. H. Ahn, D.-S. Kim, J. Bravo-Abad, L. Martin-Moreno, and F. J. Garcia-Vidal, “Anomalous band formation in arrays of terahertz nanoresonators,” Phys. Rev. Lett.106(1), 013902 (2011).
[CrossRef] [PubMed]

Martín-Moreno, L.

H.-R. Park, Y.-M. Bahk, K. J. Ahn, Q. H. Park, D.-S. Kim, L. Martín-Moreno, F. J. García-Vidal, and J. Bravo-Abad, “Controlling terahertz radiation with nanoscale metal barriers embedded in nano slot antennas,” ACS Nano5(10), 8340–8345 (2011).
[CrossRef] [PubMed]

A. I. Fernández-Domínguez, F. J. García-Vidal, and L. Martín-Moreno, “Resonant transmission of light through finite arrays of slits,” Phys. Rev. B76(23), 235430 (2007).
[CrossRef]

A. Mary, S. G. Rodrigo, L. Martín-Moreno, and F. J. García-Vidal, “Theory of light transmission through an array of rectangular holes,” Phys. Rev. B76(19), 195414 (2007).
[CrossRef]

J. Bravo-Abad, A. Degiron, F. Przybilla, C. Genet, F. J. García-Vidal, L. Martín-Moreno, and T. W. Ebbesen, “How light emerges from an illuminated array of subwavelength holes,” Nat. Phys.2(2), 120–123 (2006).
[CrossRef]

F. J. García-Vidal, E. Moreno, J. A. Porto, and L. Martín-Moreno, “Transmission of light through a single rectangular hole,” Phys. Rev. Lett.95(10), 103901 (2005).
[CrossRef] [PubMed]

J. Bravo-Abad, F. J. García-Vidal, and L. Martín-Moreno, “Resonant transmission of light through finite chains of subwavelength holes in a metallic film,” Phys. Rev. Lett.93(22), 227401 (2004).
[CrossRef] [PubMed]

J. B. Pendry, L. Martín-Moreno, and F. J. Garcia-Vidal, “Mimicking surface plasmons with structured surfaces,” Science305(5685), 847–848 (2004).
[CrossRef] [PubMed]

Mary, A.

A. Mary, S. G. Rodrigo, L. Martín-Moreno, and F. J. García-Vidal, “Theory of light transmission through an array of rectangular holes,” Phys. Rev. B76(19), 195414 (2007).
[CrossRef]

Merbold, H.

M. Shalaby, H. Merbold, M. Peccianti, L. Razzari, G. Sharma, T. Ozaki, R. Morandotti, T. Feurer, A. Weber, L. Heyderman, B. Patterson, and H. Sigg, “Concurrent field enhancement and high transmission of THz radiation in nanoslit arrays,” Appl. Phys. Lett.99(4), 041110 (2011).
[CrossRef]

Mikhaylovskiy, R. V.

E. Hendry, R. V. Mikhaylovskiy, L. D. Barron, M. Kadodwala, and T. J. Davis, “Chiral electromagnetic fields generated by arrays of nanoslits,” Nano Lett.12(7), 3640–3644 (2012).
[CrossRef] [PubMed]

Miljkovic, V. D.

T. Shegai, S. Chen, V. D. Miljković, G. Zengin, P. Johansson, and M. Käll, “A bimetallic nanoantenna for directional colour routing,” Nat Commun2, 481 (2011).
[CrossRef] [PubMed]

Morandotti, R.

M. Shalaby, H. Merbold, M. Peccianti, L. Razzari, G. Sharma, T. Ozaki, R. Morandotti, T. Feurer, A. Weber, L. Heyderman, B. Patterson, and H. Sigg, “Concurrent field enhancement and high transmission of THz radiation in nanoslit arrays,” Appl. Phys. Lett.99(4), 041110 (2011).
[CrossRef]

Moreno, E.

F. J. García-Vidal, E. Moreno, J. A. Porto, and L. Martín-Moreno, “Transmission of light through a single rectangular hole,” Phys. Rev. Lett.95(10), 103901 (2005).
[CrossRef] [PubMed]

Nagao, T.

Neubrech, F.

Nordlander, P.

N. J. Halas, S. Lal, W.-S. Chang, S. Link, and P. Nordlander, “Plasmons in strongly coupled metallic nanostructures,” Chem. Rev.111(6), 3913–3961 (2011).
[CrossRef] [PubMed]

Olk, P.

P. Olk, J. Renger, M. T. Wenzel, and L. M. Eng, “Distance dependent spectral tuning of two coupled metal nanoparticles,” Nano Lett.8(4), 1174–1178 (2008).
[CrossRef] [PubMed]

Ozaki, T.

M. Shalaby, H. Merbold, M. Peccianti, L. Razzari, G. Sharma, T. Ozaki, R. Morandotti, T. Feurer, A. Weber, L. Heyderman, B. Patterson, and H. Sigg, “Concurrent field enhancement and high transmission of THz radiation in nanoslit arrays,” Appl. Phys. Lett.99(4), 041110 (2011).
[CrossRef]

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V. A. Fedotov, N. Papasimakis, E. Plum, A. Bitzer, M. Walther, P. Kuo, D. P. Tsai, and N. I. Zheludev, “Spectral collapse in ensembles of metamolecules,” Phys. Rev. Lett.104(22), 223901 (2010).
[CrossRef] [PubMed]

V. A. Fedotov, M. Rose, S. L. Prosvirnin, N. Papasimakis, and N. I. Zheludev, “Sharp trapped-mode resonances in planar metamaterials with a broken structural symmetry,” Phys. Rev. Lett.99(14), 147401 (2007).
[CrossRef] [PubMed]

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H. R. Park, Y. M. Park, H. S. Kim, J. S. Kyoung, M. A. Seo, D. J. Park, Y. H. Ahn, K. J. Ahn, and D. S. Kim, “Terahertz nanoresonators: giant field enhancement and ultrabroadband performance,” Appl. Phys. Lett.96(12), 121106 (2010).
[CrossRef]

M. A. Seo, H. R. Park, S. M. Koo, D. J. Park, J. H. Kang, O. K. Suwal, S. S. Choi, P. C. M. Planken, G. S. Park, N. K. Park, Q. H. Park, and D. S. Kim, “Terahertz field enhancement by a metallic nano slit operating beyond the skin-depth limit,” Nat. Photonics3(3), 152–156 (2009).
[CrossRef]

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M. A. Seo, H. R. Park, S. M. Koo, D. J. Park, J. H. Kang, O. K. Suwal, S. S. Choi, P. C. M. Planken, G. S. Park, N. K. Park, Q. H. Park, and D. S. Kim, “Terahertz field enhancement by a metallic nano slit operating beyond the skin-depth limit,” Nat. Photonics3(3), 152–156 (2009).
[CrossRef]

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Y. M. Bahk, H. R. Park, K. J. Ahn, H. S. Kim, Y. H. Ahn, D.-S. Kim, J. Bravo-Abad, L. Martin-Moreno, and F. J. Garcia-Vidal, “Anomalous band formation in arrays of terahertz nanoresonators,” Phys. Rev. Lett.106(1), 013902 (2011).
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H. R. Park, Y. M. Park, H. S. Kim, J. S. Kyoung, M. A. Seo, D. J. Park, Y. H. Ahn, K. J. Ahn, and D. S. Kim, “Terahertz nanoresonators: giant field enhancement and ultrabroadband performance,” Appl. Phys. Lett.96(12), 121106 (2010).
[CrossRef]

J. S. Kyoung, M. A. Seo, H. R. Park, K. J. Ahn, and D. S. Kim, “Far field detection of terahertz near field enhancement of sub-wavelength slits using Kirchhoff integral formalism,” Opt. Commun.283(24), 4907–4910 (2010).
[CrossRef]

M. A. Seo, H. R. Park, S. M. Koo, D. J. Park, J. H. Kang, O. K. Suwal, S. S. Choi, P. C. M. Planken, G. S. Park, N. K. Park, Q. H. Park, and D. S. Kim, “Terahertz field enhancement by a metallic nano slit operating beyond the skin-depth limit,” Nat. Photonics3(3), 152–156 (2009).
[CrossRef]

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H.-R. Park, Y.-M. Bahk, K. J. Ahn, Q. H. Park, D.-S. Kim, L. Martín-Moreno, F. J. García-Vidal, and J. Bravo-Abad, “Controlling terahertz radiation with nanoscale metal barriers embedded in nano slot antennas,” ACS Nano5(10), 8340–8345 (2011).
[CrossRef] [PubMed]

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M. A. Seo, H. R. Park, S. M. Koo, D. J. Park, J. H. Kang, O. K. Suwal, S. S. Choi, P. C. M. Planken, G. S. Park, N. K. Park, Q. H. Park, and D. S. Kim, “Terahertz field enhancement by a metallic nano slit operating beyond the skin-depth limit,” Nat. Photonics3(3), 152–156 (2009).
[CrossRef]

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H.-R. Park, Y.-M. Bahk, K. J. Ahn, Q. H. Park, D.-S. Kim, L. Martín-Moreno, F. J. García-Vidal, and J. Bravo-Abad, “Controlling terahertz radiation with nanoscale metal barriers embedded in nano slot antennas,” ACS Nano5(10), 8340–8345 (2011).
[CrossRef] [PubMed]

M. A. Seo, H. R. Park, S. M. Koo, D. J. Park, J. H. Kang, O. K. Suwal, S. S. Choi, P. C. M. Planken, G. S. Park, N. K. Park, Q. H. Park, and D. S. Kim, “Terahertz field enhancement by a metallic nano slit operating beyond the skin-depth limit,” Nat. Photonics3(3), 152–156 (2009).
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J. H. Kang, J.-H. Choe, D. S. Kim, and Q. H. Park, “Substrate effect on aperture resonances in a thin metal film,” Opt. Express17(18), 15652–15658 (2009).
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H. R. Park, Y. M. Park, H. S. Kim, J. S. Kyoung, M. A. Seo, D. J. Park, Y. H. Ahn, K. J. Ahn, and D. S. Kim, “Terahertz nanoresonators: giant field enhancement and ultrabroadband performance,” Appl. Phys. Lett.96(12), 121106 (2010).
[CrossRef]

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M. Shalaby, H. Merbold, M. Peccianti, L. Razzari, G. Sharma, T. Ozaki, R. Morandotti, T. Feurer, A. Weber, L. Heyderman, B. Patterson, and H. Sigg, “Concurrent field enhancement and high transmission of THz radiation in nanoslit arrays,” Appl. Phys. Lett.99(4), 041110 (2011).
[CrossRef]

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M. Shalaby, H. Merbold, M. Peccianti, L. Razzari, G. Sharma, T. Ozaki, R. Morandotti, T. Feurer, A. Weber, L. Heyderman, B. Patterson, and H. Sigg, “Concurrent field enhancement and high transmission of THz radiation in nanoslit arrays,” Appl. Phys. Lett.99(4), 041110 (2011).
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M. A. Seo, H. R. Park, S. M. Koo, D. J. Park, J. H. Kang, O. K. Suwal, S. S. Choi, P. C. M. Planken, G. S. Park, N. K. Park, Q. H. Park, and D. S. Kim, “Terahertz field enhancement by a metallic nano slit operating beyond the skin-depth limit,” Nat. Photonics3(3), 152–156 (2009).
[CrossRef]

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V. A. Fedotov, N. Papasimakis, E. Plum, A. Bitzer, M. Walther, P. Kuo, D. P. Tsai, and N. I. Zheludev, “Spectral collapse in ensembles of metamolecules,” Phys. Rev. Lett.104(22), 223901 (2010).
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V. A. Fedotov, M. Rose, S. L. Prosvirnin, N. Papasimakis, and N. I. Zheludev, “Sharp trapped-mode resonances in planar metamaterials with a broken structural symmetry,” Phys. Rev. Lett.99(14), 147401 (2007).
[CrossRef] [PubMed]

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J. Bravo-Abad, A. Degiron, F. Przybilla, C. Genet, F. J. García-Vidal, L. Martín-Moreno, and T. W. Ebbesen, “How light emerges from an illuminated array of subwavelength holes,” Nat. Phys.2(2), 120–123 (2006).
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Z. Ruan and M. Qiu, “Enhanced transmission through periodic arrays of subwavelength holes: the role of localized waveguide resonances,” Phys. Rev. Lett.96(23), 233901 (2006).
[CrossRef] [PubMed]

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M. Shalaby, H. Merbold, M. Peccianti, L. Razzari, G. Sharma, T. Ozaki, R. Morandotti, T. Feurer, A. Weber, L. Heyderman, B. Patterson, and H. Sigg, “Concurrent field enhancement and high transmission of THz radiation in nanoslit arrays,” Appl. Phys. Lett.99(4), 041110 (2011).
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P. Olk, J. Renger, M. T. Wenzel, and L. M. Eng, “Distance dependent spectral tuning of two coupled metal nanoparticles,” Nano Lett.8(4), 1174–1178 (2008).
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V. A. Fedotov, M. Rose, S. L. Prosvirnin, N. Papasimakis, and N. I. Zheludev, “Sharp trapped-mode resonances in planar metamaterials with a broken structural symmetry,” Phys. Rev. Lett.99(14), 147401 (2007).
[CrossRef] [PubMed]

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Z. Ruan and M. Qiu, “Enhanced transmission through periodic arrays of subwavelength holes: the role of localized waveguide resonances,” Phys. Rev. Lett.96(23), 233901 (2006).
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M. Hentschel, M. Saliba, R. Vogelgesang, H. Giessen, A. P. Alivisatos, and N. Liu, “Transition from isolated to collective modes in plasmonic oligomers,” Nano Lett.10(7), 2721–2726 (2010).
[CrossRef] [PubMed]

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H. R. Park, Y. M. Park, H. S. Kim, J. S. Kyoung, M. A. Seo, D. J. Park, Y. H. Ahn, K. J. Ahn, and D. S. Kim, “Terahertz nanoresonators: giant field enhancement and ultrabroadband performance,” Appl. Phys. Lett.96(12), 121106 (2010).
[CrossRef]

J. S. Kyoung, M. A. Seo, H. R. Park, K. J. Ahn, and D. S. Kim, “Far field detection of terahertz near field enhancement of sub-wavelength slits using Kirchhoff integral formalism,” Opt. Commun.283(24), 4907–4910 (2010).
[CrossRef]

M. A. Seo, H. R. Park, S. M. Koo, D. J. Park, J. H. Kang, O. K. Suwal, S. S. Choi, P. C. M. Planken, G. S. Park, N. K. Park, Q. H. Park, and D. S. Kim, “Terahertz field enhancement by a metallic nano slit operating beyond the skin-depth limit,” Nat. Photonics3(3), 152–156 (2009).
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M. Shalaby, H. Merbold, M. Peccianti, L. Razzari, G. Sharma, T. Ozaki, R. Morandotti, T. Feurer, A. Weber, L. Heyderman, B. Patterson, and H. Sigg, “Concurrent field enhancement and high transmission of THz radiation in nanoslit arrays,” Appl. Phys. Lett.99(4), 041110 (2011).
[CrossRef]

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M. Shalaby, H. Merbold, M. Peccianti, L. Razzari, G. Sharma, T. Ozaki, R. Morandotti, T. Feurer, A. Weber, L. Heyderman, B. Patterson, and H. Sigg, “Concurrent field enhancement and high transmission of THz radiation in nanoslit arrays,” Appl. Phys. Lett.99(4), 041110 (2011).
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T. Shegai, S. Chen, V. D. Miljković, G. Zengin, P. Johansson, and M. Käll, “A bimetallic nanoantenna for directional colour routing,” Nat Commun2, 481 (2011).
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M. Shalaby, H. Merbold, M. Peccianti, L. Razzari, G. Sharma, T. Ozaki, R. Morandotti, T. Feurer, A. Weber, L. Heyderman, B. Patterson, and H. Sigg, “Concurrent field enhancement and high transmission of THz radiation in nanoslit arrays,” Appl. Phys. Lett.99(4), 041110 (2011).
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A. Christ, Y. Ekinci, H. H. Solak, N. A. Gippius, S. G. Tikhodeev, and O. J. F. Martin, “Controlling the fano interference in a plasmonic lattice,” Phys. Rev. B76(20), 201405 (2007).
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M. A. Seo, H. R. Park, S. M. Koo, D. J. Park, J. H. Kang, O. K. Suwal, S. S. Choi, P. C. M. Planken, G. S. Park, N. K. Park, Q. H. Park, and D. S. Kim, “Terahertz field enhancement by a metallic nano slit operating beyond the skin-depth limit,” Nat. Photonics3(3), 152–156 (2009).
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A. Christ, Y. Ekinci, H. H. Solak, N. A. Gippius, S. G. Tikhodeev, and O. J. F. Martin, “Controlling the fano interference in a plasmonic lattice,” Phys. Rev. B76(20), 201405 (2007).
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V. A. Fedotov, N. Papasimakis, E. Plum, A. Bitzer, M. Walther, P. Kuo, D. P. Tsai, and N. I. Zheludev, “Spectral collapse in ensembles of metamolecules,” Phys. Rev. Lett.104(22), 223901 (2010).
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Verhagen, E.

I. Sersic, M. Frimmer, E. Verhagen, and A. F. Koenderink, “Electric and magnetic dipole coupling in near-infrared split-ring metamaterial arrays,” Phys. Rev. Lett.103(21), 213902 (2009).
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M. Hentschel, M. Saliba, R. Vogelgesang, H. Giessen, A. P. Alivisatos, and N. Liu, “Transition from isolated to collective modes in plasmonic oligomers,” Nano Lett.10(7), 2721–2726 (2010).
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V. A. Fedotov, N. Papasimakis, E. Plum, A. Bitzer, M. Walther, P. Kuo, D. P. Tsai, and N. I. Zheludev, “Spectral collapse in ensembles of metamolecules,” Phys. Rev. Lett.104(22), 223901 (2010).
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M. Shalaby, H. Merbold, M. Peccianti, L. Razzari, G. Sharma, T. Ozaki, R. Morandotti, T. Feurer, A. Weber, L. Heyderman, B. Patterson, and H. Sigg, “Concurrent field enhancement and high transmission of THz radiation in nanoslit arrays,” Appl. Phys. Lett.99(4), 041110 (2011).
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R. Taubert, R. Ameling, T. Weiss, A. Christ, and H. Giessen, “From near-field to far-field coupling in the third dimension: retarded interaction of particle plasmons,” Nano Lett.11(10), 4421–4424 (2011).
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P. Olk, J. Renger, M. T. Wenzel, and L. M. Eng, “Distance dependent spectral tuning of two coupled metal nanoparticles,” Nano Lett.8(4), 1174–1178 (2008).
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T. W. Ebbesen, H. J. Lezec, H. F. Ghaemi, T. Thio, and P. A. Wolff, “Extraordinary optical transmission through sub-wavelength hole arrays,” Nature391(6668), 667–669 (1998).
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T. Shegai, S. Chen, V. D. Miljković, G. Zengin, P. Johansson, and M. Käll, “A bimetallic nanoantenna for directional colour routing,” Nat Commun2, 481 (2011).
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ACS Nano

H.-R. Park, Y.-M. Bahk, K. J. Ahn, Q. H. Park, D.-S. Kim, L. Martín-Moreno, F. J. García-Vidal, and J. Bravo-Abad, “Controlling terahertz radiation with nanoscale metal barriers embedded in nano slot antennas,” ACS Nano5(10), 8340–8345 (2011).
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H. R. Park, Y. M. Park, H. S. Kim, J. S. Kyoung, M. A. Seo, D. J. Park, Y. H. Ahn, K. J. Ahn, and D. S. Kim, “Terahertz nanoresonators: giant field enhancement and ultrabroadband performance,” Appl. Phys. Lett.96(12), 121106 (2010).
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M. Hentschel, M. Saliba, R. Vogelgesang, H. Giessen, A. P. Alivisatos, and N. Liu, “Transition from isolated to collective modes in plasmonic oligomers,” Nano Lett.10(7), 2721–2726 (2010).
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R. Taubert, R. Ameling, T. Weiss, A. Christ, and H. Giessen, “From near-field to far-field coupling in the third dimension: retarded interaction of particle plasmons,” Nano Lett.11(10), 4421–4424 (2011).
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E. Hendry, R. V. Mikhaylovskiy, L. D. Barron, M. Kadodwala, and T. J. Davis, “Chiral electromagnetic fields generated by arrays of nanoslits,” Nano Lett.12(7), 3640–3644 (2012).
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A. Artar, A. A. Yanik, and H. Altug, “Multispectral plasmon induced transparency in coupled meta-atoms,” Nano Lett.11(4), 1685–1689 (2011).
[CrossRef] [PubMed]

D. S. Kim, J. Heo, S. H. Ahn, S. W. Han, W. S. Yun, and Z. H. Kim, “Real-space mapping of the strongly coupled plasmons of nanoparticle dimers,” Nano Lett.9(10), 3619–3625 (2009).
[CrossRef] [PubMed]

A. Christ, O. J. F. Martin, Y. Ekinci, N. A. Gippius, and S. G. Tikhodeev, “Symmetry breaking in a plasmonic metamaterial at optical wavelength,” Nano Lett.8(8), 2171–2175 (2008).
[CrossRef] [PubMed]

Nat Commun

T. Shegai, S. Chen, V. D. Miljković, G. Zengin, P. Johansson, and M. Käll, “A bimetallic nanoantenna for directional colour routing,” Nat Commun2, 481 (2011).
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Opt. Commun.

J. S. Kyoung, M. A. Seo, H. R. Park, K. J. Ahn, and D. S. Kim, “Far field detection of terahertz near field enhancement of sub-wavelength slits using Kirchhoff integral formalism,” Opt. Commun.283(24), 4907–4910 (2010).
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Opt. Lett.

Phys. Rev. B

A. Christ, Y. Ekinci, H. H. Solak, N. A. Gippius, S. G. Tikhodeev, and O. J. F. Martin, “Controlling the fano interference in a plasmonic lattice,” Phys. Rev. B76(20), 201405 (2007).
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Phys. Rev. Lett.

Z. Ruan and M. Qiu, “Enhanced transmission through periodic arrays of subwavelength holes: the role of localized waveguide resonances,” Phys. Rev. Lett.96(23), 233901 (2006).
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I. Sersic, M. Frimmer, E. Verhagen, and A. F. Koenderink, “Electric and magnetic dipole coupling in near-infrared split-ring metamaterial arrays,” Phys. Rev. Lett.103(21), 213902 (2009).
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[CrossRef] [PubMed]

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Figures (5)

Fig. 1
Fig. 1

(a) Geometry of a pair of THz nano resonators. The structure consists of two rectangular holes in a 200-nm-thick gold film on a 500-μm-thick Si substrate. The two rectangles have the same or different lengths and the same widths. The samples are illuminated by horizontally polarized light with normal incidence. (b) SEM images of two symmetric (left) and asymmetric (right) THz nano resonators with a distance of 100 μm. Symmetric resonators have lengths l1 = l2 = 100 μm and a width w = 300 nm. Asymmetric case have l1 = 150 μm and l2 = 100 μm with width of 350 nm. (c) Schematic of THz time-domain spectroscopy setup. Electro-optic sampling method is used to measure the THz time domain signals.

Fig. 2
Fig. 2

(a) Normalized transmitted amplitude spectra measured through two types of single THz nano resonators with different lengths l = 150 μm and 100 μm, the same width w = 350 nm. SEM images of the samples are shown in the inset. The scale bar is 30 μm. (b) Normalized-to-area amplitudes as the same presented in Fig. 2(a) are calculated using the modal expansion.

Fig. 3
Fig. 3

(a) Experimental and calculated transmission spectra of two symmetric THz nano resonators with different distances. SEM images of the corresponding structures are shown in the left column. The middle column shows the measured spectra. The right column shows the calculated total normalized-to-area amplitude for the corresponding d. (b) Evolution of the transmission resonance amplitude normalized by that of a single rectangular hole.

Fig. 4
Fig. 4

(a) Transmission spectra for two asymmetric THz nano resonators in dependence on the distances d. SEM images (left column), the measured spectra (middle column), and the theoretical calculations (right column) of the corresponding structures are shown in the figure. (b) Evolution of the two resonant transmission normalized by the respective maximum transmission of a single resonator as a function of d.

Fig. 5
Fig. 5

Evolution of imaginary parts of the averaged EM coupling between two holes, G αβ ave = G αβ I + G αβ III 2 calculated at resonance I and resonance II.

Equations (5)

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T= | E sample (ω) | | E ref (ω) | ,
( G 11 I Σ 1 G 1 V G 12 I 0 G 1 V G 11 III Σ 1 0 G 12 III G 21 I 0 G 22 I Σ 2 G 2 V 0 G 21 III G 2 V G 22 III Σ 2 )( E 1 I E 1 III E 2 I E 2 III )=( I 1 0 I 2 0 ).
G αβ I,III = i ( 2π ) 2 w β l β 2 d k x d k y k x 2 + k I,IIIz 2 k 0 k I,IIIz F α ( k x , k y ) F β ( k x , k y ) e i k x ( x β x α ) e i k y ( y β y α ) F α ( k x , k y )=sinc( w α k x 2 )[ sinc( π 2 + l α k y 2 )+sinc( π 2 l α k y 2 ) ],
G α V λ 2πh >>1, Σ α G α V , G 22 I,III G 11 I,III w 2 l 2 w 1 l 1 ,
| E 1 III | | I 1 | 2Im( G 11 ave + G 12 ave ) and| E 2 III | | I 2 | 2Im( G 22 ave + G 21 ave ) ,

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