Abstract

It is generally believed that, in the phenomena of extraordinary optical transmission, perfect transparency only occurs at a single or a multiple of discrete frequencies. This report presents for the first time that a stacked metallic multi-layered system, being perforated with coaxial annular apertures (CAAs), can be perfectly transparent in a broad frequency range. The phenomenon arises from the coupling of guided resonance modes in CAAs among different metallic layers. The transparency bandwidth is extended to about 40% of the central frequency with only 2–3 metallic layers. Measured transmission spectra in microwave regime are in good agreement with calculations which are semi-analytically resolved by modal expansion method.

© 2011 OSA

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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
  26. P. Lalanne, J. P. Hugonin, S. Astilean, M. Palamaru, and K. D. Moller, “One-mode model and Airy-like formulae for one-dimensional metallic gratings,” J. Opt. A, Pure Appl. Opt. 2, 48–51 (2000).
    [CrossRef]
  27. Z. Y. Wei, H. Q. Li, C. Wu, Y. Cao, J. Z. Ren, Z. H. Hang, H. Chen, D. Z. Zhang, and C. T. Chan, “Anomalous reflection from hybrid metamaterial slab,” Opt. Express 18, 12119–12126 (2010).
    [CrossRef] [PubMed]
  28. Z. Y. Wei, H. Q. Li, Y. Cao, C. Wu, J. Z. Ren, Z. H. Hang, H. Chen, D. Z. Zhang, and C. T. Chan, “Spatially coherent surface resonance states derived from magnetic resonances,” N. J. Phys. 12, 093020 (2010).
    [CrossRef]
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    [CrossRef]

2011

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, 013902 (2011).
[CrossRef] [PubMed]

2010

Z. Y. Wei, J. X. Fu, Y. Cao, C. Wu, and H. Q. Li, “The impact of local resonance on the enhanced transmission and dispersion of surface resonances,” Photon. Nanostruct. 8, 94–101 (2010).
[CrossRef]

L. Zhou, C. P. Huang, S. Wu, X. G. Yin, Y. M. Wang, Q. J. Wang, and Y. Y. Zhu, “Enhanced optical transmission through metal-dielectric multilayer gratings,” Appl. Phys. Lett. 97, 011905 (2010).
[CrossRef]

Z. Y. Wei, H. Q. Li, Y. Cao, C. Wu, J. Z. Ren, Z. H. Hang, H. Chen, D. Z. Zhang, and C. T. Chan, “Spatially coherent surface resonance states derived from magnetic resonances,” N. J. Phys. 12, 093020 (2010).
[CrossRef]

Z. Y. Wei, Y. Cao, J. Han, C. Wu, Y. C. Fan, and H. Q. Li, “Broadband negative refraction in stacked fishnet metamaterial,” Appl. Phys. Lett. 97, 141901 (2010).
[CrossRef]

Z. Y. Wei, H. Q. Li, C. Wu, Y. Cao, J. Z. Ren, Z. H. Hang, H. Chen, D. Z. Zhang, and C. T. Chan, “Anomalous reflection from hybrid metamaterial slab,” Opt. Express 18, 12119–12126 (2010).
[CrossRef] [PubMed]

Z. Marcet, Z. H. Hang, C. T. Chan, I. Kravchenko, J. E. Bower, R. A. Cirelli, F. Klemens, W. M. Mansfield, J. F. Miner, C. S. Pai, and H. B. Chan, “Optical transmission through double-layer, laterally shifted metallic subwavelength hole arrays,” Opt. Lett. 35, 2124–2126 (2010).
[CrossRef] [PubMed]

X. A. Xiao, W. Jinbo, Y. Sasagawa, F. Miyamaru, M. Y. Zhang, M. W. Takeda, C. Y. Qiu, W. J. Wen, and P. Sheng, “Resonant terahertz transmissions through metal hole array on silicon substrate,” Opt. Express 18, 18558–18564 (2010).
[CrossRef] [PubMed]

2009

R. Ortuno, C. Garcia-Meca, F. J. Rodriguez-Fortuno, J. Marti, and A. Martinez, “Role of surface plasmon polari-tons on optical transmission through double layer metallic hole arrays,” Phys. Rev. B 79, 075425 (2009).
[CrossRef]

2008

H. T. Liu and P. Lalanne, “Microscopic theory of the extraordinary optical transmission,” Nature 452, 728–731 (2008).
[CrossRef] [PubMed]

2007

Z. H. Tang, R. W. Peng, Z. Wang, X. Wu, Y. J. Bao, Q. J. Wang, Z. J. Zhang, W. H. Sun, and M. Wang, “Coupling of surface plasmons in nanostructured metal/dielectric multilayers with subwavelength hole arrays,” Phys. Rev. B 76, 195405–195408 (2007).
[CrossRef]

2006

H. B. Chan, Z. Marcet, K. Woo, D. B. Tanner, D. W. Carr, J. E. Bower, R. A. Cirelli, E. Ferry, F. Klemens, J. Miner, C. S. Pai, and J. A. Taylor, “Optical transmission through double-layer metallic subwavelength slit arrays,” Opt. Lett. 31, 516–518 (2006).
[CrossRef] [PubMed]

G. Gay, O. Alloschery, B. V. de Lesegno, J. Weiner, and H. J. Lezec, “Surface wave generation and propagation on metallic subwavelength structures measured by far-field interferometry,” Phys. Rev. Lett. 96, 213901 (2006).
[CrossRef] [PubMed]

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

2005

W. J. Fan, S. Zhang, B. Minhas, K. J. Malloy, and S. R. J. Brueck, “Enhanced infrared transmission through subwavelength coaxial metallic arrays,” Phys. Rev. Lett. 94, 033902 (2005).
[CrossRef] [PubMed]

K. L. van der Molen, K. J. Klein Koerkamp, S. Enoch, F. B. Segerink, N. F. van Hulst, and L. Kuipers, “Role of shape and localized resonances in extraordinary transmission through periodic arrays of subwavelength holes: Experiment and theory,” Phys. Rev. B 72, 045421 (2005).
[CrossRef]

W. J. Wen, L. Zhou, B. Hou, C. T. Chan, and P. Sheng, “Resonant transmission of microwaves through subwave-length fractal slits in a metallic plate,” Phys. Rev. B 72, 153406 (2005).
[CrossRef]

F. Miyamaru and M. Hangyo, “Anomalous terahertz transmission through double-layer metal hole arrays by coupling of surface plasmon polaritons,” Phys. Rev. B 71, 165408–165405 (2005).
[CrossRef]

F. J. G. de Abajo and J. J. Saenz, “Electromagnetic surface modes in structured perfect-conductor surfaces,” Phys. Rev. Lett. 95, 233901 (2005).
[CrossRef] [PubMed]

Y. H. Ye and J. Y. Zhang, “Enhanced light transmission through cascaded metal films perforated with periodic hole arrays,” Opt. Lett. 30, 1521–1523 (2005).
[CrossRef] [PubMed]

W. J. Fan, S. Zhang, K. J. Malloy, and S. R. J. Brueck, “Enhanced mid-infrared transmission through nanoscale metallic coaxial-aperture arrays,” Opt. Express 13, 4406–4413 (2005).
[CrossRef] [PubMed]

2004

F. I. Baida, D. Van Labeke, G. Granet, A. Moreau, and A. Belkhir, “Origin of the super-enhanced light transmission through a 2-D metallic annular aperture array: a study of photonic bands,” Appl. Phys. B: Lasers Opt. 79, 1–8 (2004).
[CrossRef]

2003

W. L. Barnes, A. Dereux, and T. W. Ebbesen, “Surface plasmon subwavelength optics,” Nature 424, 824–830 (2003).
[CrossRef] [PubMed]

2001

L. Martin-Moreno, F. J. Garcia-Vidal, H. J. Lezec, K. M. Pellerin, T. Thio, J. B. Pendry, and T. W. Ebbesen, “Theory of extraordinary optical transmission through subwavelength hole arrays,” Phys. Rev. Lett. 86, 1114–1117 (2001).
[CrossRef] [PubMed]

2000

P. Lalanne, J. P. Hugonin, S. Astilean, M. Palamaru, and K. D. Moller, “One-mode model and Airy-like formulae for one-dimensional metallic gratings,” J. Opt. A, Pure Appl. Opt. 2, 48–51 (2000).
[CrossRef]

1998

T. W. Ebbesen, H. J. Lezec, H. F. Ghaemi, T. Thio, and P. A. Wolff, “Extraordinary optical transmission through sub-wavelength hole arrays,” Nature 391, 667–669 (1998).
[CrossRef]

H. F. Ghaemi, T. Thio, D. E. Grupp, T. W. Ebbesen, and H. J. Lezec, “Surface plasmons enhance optical transmission through subwavelength holes,” Phys. Rev. B 58, 6779–6782 (1998).
[CrossRef]

1982

P. Sheng, R. S. Stepleman, and P. N. Sanda, “Exact eigenfunctions for square-wave gratings: application to diffraction and surface-plasmon calculations,” Phys. Rev. B 26, 2907–2916 (1982).
[CrossRef]

Ahn, K. 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, 013902 (2011).
[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, 013902 (2011).
[CrossRef] [PubMed]

Alloschery, O.

G. Gay, O. Alloschery, B. V. de Lesegno, J. Weiner, and H. J. Lezec, “Surface wave generation and propagation on metallic subwavelength structures measured by far-field interferometry,” Phys. Rev. Lett. 96, 213901 (2006).
[CrossRef] [PubMed]

Astilean, S.

P. Lalanne, J. P. Hugonin, S. Astilean, M. Palamaru, and K. D. Moller, “One-mode model and Airy-like formulae for one-dimensional metallic gratings,” J. Opt. A, Pure Appl. Opt. 2, 48–51 (2000).
[CrossRef]

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, 013902 (2011).
[CrossRef] [PubMed]

Baida, F. I.

F. I. Baida, D. Van Labeke, G. Granet, A. Moreau, and A. Belkhir, “Origin of the super-enhanced light transmission through a 2-D metallic annular aperture array: a study of photonic bands,” Appl. Phys. B: Lasers Opt. 79, 1–8 (2004).
[CrossRef]

Bao, Y. J.

Z. H. Tang, R. W. Peng, Z. Wang, X. Wu, Y. J. Bao, Q. J. Wang, Z. J. Zhang, W. H. Sun, and M. Wang, “Coupling of surface plasmons in nanostructured metal/dielectric multilayers with subwavelength hole arrays,” Phys. Rev. B 76, 195405–195408 (2007).
[CrossRef]

Barnes, W. L.

W. L. Barnes, A. Dereux, and T. W. Ebbesen, “Surface plasmon subwavelength optics,” Nature 424, 824–830 (2003).
[CrossRef] [PubMed]

Belkhir, A.

F. I. Baida, D. Van Labeke, G. Granet, A. Moreau, and A. Belkhir, “Origin of the super-enhanced light transmission through a 2-D metallic annular aperture array: a study of photonic bands,” Appl. Phys. B: Lasers Opt. 79, 1–8 (2004).
[CrossRef]

Bower, J. E.

Bravo-Abad, 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, 013902 (2011).
[CrossRef] [PubMed]

Brueck, S. R. J.

W. J. Fan, S. Zhang, B. Minhas, K. J. Malloy, and S. R. J. Brueck, “Enhanced infrared transmission through subwavelength coaxial metallic arrays,” Phys. Rev. Lett. 94, 033902 (2005).
[CrossRef] [PubMed]

W. J. Fan, S. Zhang, K. J. Malloy, and S. R. J. Brueck, “Enhanced mid-infrared transmission through nanoscale metallic coaxial-aperture arrays,” Opt. Express 13, 4406–4413 (2005).
[CrossRef] [PubMed]

Cao, Y.

Z. Y. Wei, Y. Cao, J. Han, C. Wu, Y. C. Fan, and H. Q. Li, “Broadband negative refraction in stacked fishnet metamaterial,” Appl. Phys. Lett. 97, 141901 (2010).
[CrossRef]

Z. Y. Wei, H. Q. Li, C. Wu, Y. Cao, J. Z. Ren, Z. H. Hang, H. Chen, D. Z. Zhang, and C. T. Chan, “Anomalous reflection from hybrid metamaterial slab,” Opt. Express 18, 12119–12126 (2010).
[CrossRef] [PubMed]

Z. Y. Wei, H. Q. Li, Y. Cao, C. Wu, J. Z. Ren, Z. H. Hang, H. Chen, D. Z. Zhang, and C. T. Chan, “Spatially coherent surface resonance states derived from magnetic resonances,” N. J. Phys. 12, 093020 (2010).
[CrossRef]

Z. Y. Wei, J. X. Fu, Y. Cao, C. Wu, and H. Q. Li, “The impact of local resonance on the enhanced transmission and dispersion of surface resonances,” Photon. Nanostruct. 8, 94–101 (2010).
[CrossRef]

Carr, D. W.

Chan, C. T.

Z. Y. Wei, H. Q. Li, Y. Cao, C. Wu, J. Z. Ren, Z. H. Hang, H. Chen, D. Z. Zhang, and C. T. Chan, “Spatially coherent surface resonance states derived from magnetic resonances,” N. J. Phys. 12, 093020 (2010).
[CrossRef]

Z. Y. Wei, H. Q. Li, C. Wu, Y. Cao, J. Z. Ren, Z. H. Hang, H. Chen, D. Z. Zhang, and C. T. Chan, “Anomalous reflection from hybrid metamaterial slab,” Opt. Express 18, 12119–12126 (2010).
[CrossRef] [PubMed]

Z. Marcet, Z. H. Hang, C. T. Chan, I. Kravchenko, J. E. Bower, R. A. Cirelli, F. Klemens, W. M. Mansfield, J. F. Miner, C. S. Pai, and H. B. Chan, “Optical transmission through double-layer, laterally shifted metallic subwavelength hole arrays,” Opt. Lett. 35, 2124–2126 (2010).
[CrossRef] [PubMed]

W. J. Wen, L. Zhou, B. Hou, C. T. Chan, and P. Sheng, “Resonant transmission of microwaves through subwave-length fractal slits in a metallic plate,” Phys. Rev. B 72, 153406 (2005).
[CrossRef]

Chan, H. B.

Chen, H.

Z. Y. Wei, H. Q. Li, C. Wu, Y. Cao, J. Z. Ren, Z. H. Hang, H. Chen, D. Z. Zhang, and C. T. Chan, “Anomalous reflection from hybrid metamaterial slab,” Opt. Express 18, 12119–12126 (2010).
[CrossRef] [PubMed]

Z. Y. Wei, H. Q. Li, Y. Cao, C. Wu, J. Z. Ren, Z. H. Hang, H. Chen, D. Z. Zhang, and C. T. Chan, “Spatially coherent surface resonance states derived from magnetic resonances,” N. J. Phys. 12, 093020 (2010).
[CrossRef]

Cirelli, R. A.

de Abajo, F. J. G.

F. J. G. de Abajo and J. J. Saenz, “Electromagnetic surface modes in structured perfect-conductor surfaces,” Phys. Rev. Lett. 95, 233901 (2005).
[CrossRef] [PubMed]

de Lesegno, B. V.

G. Gay, O. Alloschery, B. V. de Lesegno, J. Weiner, and H. J. Lezec, “Surface wave generation and propagation on metallic subwavelength structures measured by far-field interferometry,” Phys. Rev. Lett. 96, 213901 (2006).
[CrossRef] [PubMed]

Dereux, A.

W. L. Barnes, A. Dereux, and T. W. Ebbesen, “Surface plasmon subwavelength optics,” Nature 424, 824–830 (2003).
[CrossRef] [PubMed]

Ebbesen, T. W.

W. L. Barnes, A. Dereux, and T. W. Ebbesen, “Surface plasmon subwavelength optics,” Nature 424, 824–830 (2003).
[CrossRef] [PubMed]

L. Martin-Moreno, F. J. Garcia-Vidal, H. J. Lezec, K. M. Pellerin, T. Thio, J. B. Pendry, and T. W. Ebbesen, “Theory of extraordinary optical transmission through subwavelength hole arrays,” Phys. Rev. Lett. 86, 1114–1117 (2001).
[CrossRef] [PubMed]

T. W. Ebbesen, H. J. Lezec, H. F. Ghaemi, T. Thio, and P. A. Wolff, “Extraordinary optical transmission through sub-wavelength hole arrays,” Nature 391, 667–669 (1998).
[CrossRef]

H. F. Ghaemi, T. Thio, D. E. Grupp, T. W. Ebbesen, and H. J. Lezec, “Surface plasmons enhance optical transmission through subwavelength holes,” Phys. Rev. B 58, 6779–6782 (1998).
[CrossRef]

Enoch, S.

K. L. van der Molen, K. J. Klein Koerkamp, S. Enoch, F. B. Segerink, N. F. van Hulst, and L. Kuipers, “Role of shape and localized resonances in extraordinary transmission through periodic arrays of subwavelength holes: Experiment and theory,” Phys. Rev. B 72, 045421 (2005).
[CrossRef]

Fan, W. J.

W. J. Fan, S. Zhang, B. Minhas, K. J. Malloy, and S. R. J. Brueck, “Enhanced infrared transmission through subwavelength coaxial metallic arrays,” Phys. Rev. Lett. 94, 033902 (2005).
[CrossRef] [PubMed]

W. J. Fan, S. Zhang, K. J. Malloy, and S. R. J. Brueck, “Enhanced mid-infrared transmission through nanoscale metallic coaxial-aperture arrays,” Opt. Express 13, 4406–4413 (2005).
[CrossRef] [PubMed]

Fan, Y. C.

Z. Y. Wei, Y. Cao, J. Han, C. Wu, Y. C. Fan, and H. Q. Li, “Broadband negative refraction in stacked fishnet metamaterial,” Appl. Phys. Lett. 97, 141901 (2010).
[CrossRef]

Ferry, E.

Fu, J. X.

Z. Y. Wei, J. X. Fu, Y. Cao, C. Wu, and H. Q. Li, “The impact of local resonance on the enhanced transmission and dispersion of surface resonances,” Photon. Nanostruct. 8, 94–101 (2010).
[CrossRef]

Garcia-Meca, C.

R. Ortuno, C. Garcia-Meca, F. J. Rodriguez-Fortuno, J. Marti, and A. Martinez, “Role of surface plasmon polari-tons on optical transmission through double layer metallic hole arrays,” Phys. Rev. B 79, 075425 (2009).
[CrossRef]

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, 013902 (2011).
[CrossRef] [PubMed]

L. Martin-Moreno, F. J. Garcia-Vidal, H. J. Lezec, K. M. Pellerin, T. Thio, J. B. Pendry, and T. W. Ebbesen, “Theory of extraordinary optical transmission through subwavelength hole arrays,” Phys. Rev. Lett. 86, 1114–1117 (2001).
[CrossRef] [PubMed]

Gay, G.

G. Gay, O. Alloschery, B. V. de Lesegno, J. Weiner, and H. J. Lezec, “Surface wave generation and propagation on metallic subwavelength structures measured by far-field interferometry,” Phys. Rev. Lett. 96, 213901 (2006).
[CrossRef] [PubMed]

Ghaemi, H. F.

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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,” Nature 391, 667–669 (1998).
[CrossRef]

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F. I. Baida, D. Van Labeke, G. Granet, A. Moreau, and A. Belkhir, “Origin of the super-enhanced light transmission through a 2-D metallic annular aperture array: a study of photonic bands,” Appl. Phys. B: Lasers Opt. 79, 1–8 (2004).
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H. F. Ghaemi, T. Thio, D. E. Grupp, T. W. Ebbesen, and H. J. Lezec, “Surface plasmons enhance optical transmission through subwavelength holes,” Phys. Rev. B 58, 6779–6782 (1998).
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Z. Y. Wei, Y. Cao, J. Han, C. Wu, Y. C. Fan, and H. Q. Li, “Broadband negative refraction in stacked fishnet metamaterial,” Appl. Phys. Lett. 97, 141901 (2010).
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Hangyo, M.

F. Miyamaru and M. Hangyo, “Anomalous terahertz transmission through double-layer metal hole arrays by coupling of surface plasmon polaritons,” Phys. Rev. B 71, 165408–165405 (2005).
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W. J. Wen, L. Zhou, B. Hou, C. T. Chan, and P. Sheng, “Resonant transmission of microwaves through subwave-length fractal slits in a metallic plate,” Phys. Rev. B 72, 153406 (2005).
[CrossRef]

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L. Zhou, C. P. Huang, S. Wu, X. G. Yin, Y. M. Wang, Q. J. Wang, and Y. Y. Zhu, “Enhanced optical transmission through metal-dielectric multilayer gratings,” Appl. Phys. Lett. 97, 011905 (2010).
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P. Lalanne, J. P. Hugonin, S. Astilean, M. Palamaru, and K. D. Moller, “One-mode model and Airy-like formulae for one-dimensional metallic gratings,” J. Opt. A, Pure Appl. Opt. 2, 48–51 (2000).
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Kim, D. S.

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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, 013902 (2011).
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Kravchenko, I.

Kuipers, L.

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G. Gay, O. Alloschery, B. V. de Lesegno, J. Weiner, and H. J. Lezec, “Surface wave generation and propagation on metallic subwavelength structures measured by far-field interferometry,” Phys. Rev. Lett. 96, 213901 (2006).
[CrossRef] [PubMed]

L. Martin-Moreno, F. J. Garcia-Vidal, H. J. Lezec, K. M. Pellerin, T. Thio, J. B. Pendry, and T. W. Ebbesen, “Theory of extraordinary optical transmission through subwavelength hole arrays,” Phys. Rev. Lett. 86, 1114–1117 (2001).
[CrossRef] [PubMed]

T. W. Ebbesen, H. J. Lezec, H. F. Ghaemi, T. Thio, and P. A. Wolff, “Extraordinary optical transmission through sub-wavelength hole arrays,” Nature 391, 667–669 (1998).
[CrossRef]

H. F. Ghaemi, T. Thio, D. E. Grupp, T. W. Ebbesen, and H. J. Lezec, “Surface plasmons enhance optical transmission through subwavelength holes,” Phys. Rev. B 58, 6779–6782 (1998).
[CrossRef]

Li, H. Q.

Z. Y. Wei, J. X. Fu, Y. Cao, C. Wu, and H. Q. Li, “The impact of local resonance on the enhanced transmission and dispersion of surface resonances,” Photon. Nanostruct. 8, 94–101 (2010).
[CrossRef]

Z. Y. Wei, H. Q. Li, Y. Cao, C. Wu, J. Z. Ren, Z. H. Hang, H. Chen, D. Z. Zhang, and C. T. Chan, “Spatially coherent surface resonance states derived from magnetic resonances,” N. J. Phys. 12, 093020 (2010).
[CrossRef]

Z. Y. Wei, H. Q. Li, C. Wu, Y. Cao, J. Z. Ren, Z. H. Hang, H. Chen, D. Z. Zhang, and C. T. Chan, “Anomalous reflection from hybrid metamaterial slab,” Opt. Express 18, 12119–12126 (2010).
[CrossRef] [PubMed]

Z. Y. Wei, Y. Cao, J. Han, C. Wu, Y. C. Fan, and H. Q. Li, “Broadband negative refraction in stacked fishnet metamaterial,” Appl. Phys. Lett. 97, 141901 (2010).
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H. T. Liu and P. Lalanne, “Microscopic theory of the extraordinary optical transmission,” Nature 452, 728–731 (2008).
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W. J. Fan, S. Zhang, B. Minhas, K. J. Malloy, and S. R. J. Brueck, “Enhanced infrared transmission through subwavelength coaxial metallic arrays,” Phys. Rev. Lett. 94, 033902 (2005).
[CrossRef] [PubMed]

W. J. Fan, S. Zhang, K. J. Malloy, and S. R. J. Brueck, “Enhanced mid-infrared transmission through nanoscale metallic coaxial-aperture arrays,” Opt. Express 13, 4406–4413 (2005).
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Mansfield, W. M.

Marcet, Z.

Marti, J.

R. Ortuno, C. Garcia-Meca, F. J. Rodriguez-Fortuno, J. Marti, and A. Martinez, “Role of surface plasmon polari-tons on optical transmission through double layer metallic hole arrays,” Phys. Rev. B 79, 075425 (2009).
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R. Ortuno, C. Garcia-Meca, F. J. Rodriguez-Fortuno, J. Marti, and A. Martinez, “Role of surface plasmon polari-tons on optical transmission through double layer metallic hole arrays,” Phys. Rev. B 79, 075425 (2009).
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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, 013902 (2011).
[CrossRef] [PubMed]

L. Martin-Moreno, F. J. Garcia-Vidal, H. J. Lezec, K. M. Pellerin, T. Thio, J. B. Pendry, and T. W. Ebbesen, “Theory of extraordinary optical transmission through subwavelength hole arrays,” Phys. Rev. Lett. 86, 1114–1117 (2001).
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Miner, J. F.

Minhas, B.

W. J. Fan, S. Zhang, B. Minhas, K. J. Malloy, and S. R. J. Brueck, “Enhanced infrared transmission through subwavelength coaxial metallic arrays,” Phys. Rev. Lett. 94, 033902 (2005).
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F. Miyamaru and M. Hangyo, “Anomalous terahertz transmission through double-layer metal hole arrays by coupling of surface plasmon polaritons,” Phys. Rev. B 71, 165408–165405 (2005).
[CrossRef]

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P. Lalanne, J. P. Hugonin, S. Astilean, M. Palamaru, and K. D. Moller, “One-mode model and Airy-like formulae for one-dimensional metallic gratings,” J. Opt. A, Pure Appl. Opt. 2, 48–51 (2000).
[CrossRef]

Moreau, A.

F. I. Baida, D. Van Labeke, G. Granet, A. Moreau, and A. Belkhir, “Origin of the super-enhanced light transmission through a 2-D metallic annular aperture array: a study of photonic bands,” Appl. Phys. B: Lasers Opt. 79, 1–8 (2004).
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R. Ortuno, C. Garcia-Meca, F. J. Rodriguez-Fortuno, J. Marti, and A. Martinez, “Role of surface plasmon polari-tons on optical transmission through double layer metallic hole arrays,” Phys. Rev. B 79, 075425 (2009).
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Palamaru, M.

P. Lalanne, J. P. Hugonin, S. Astilean, M. Palamaru, and K. D. Moller, “One-mode model and Airy-like formulae for one-dimensional metallic gratings,” J. Opt. A, Pure Appl. Opt. 2, 48–51 (2000).
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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, 013902 (2011).
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L. Martin-Moreno, F. J. Garcia-Vidal, H. J. Lezec, K. M. Pellerin, T. Thio, J. B. Pendry, and T. W. Ebbesen, “Theory of extraordinary optical transmission through subwavelength hole arrays,” Phys. Rev. Lett. 86, 1114–1117 (2001).
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L. Martin-Moreno, F. J. Garcia-Vidal, H. J. Lezec, K. M. Pellerin, T. Thio, J. B. Pendry, and T. W. Ebbesen, “Theory of extraordinary optical transmission through subwavelength hole arrays,” Phys. Rev. Lett. 86, 1114–1117 (2001).
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Z. H. Tang, R. W. Peng, Z. Wang, X. Wu, Y. J. Bao, Q. J. Wang, Z. J. Zhang, W. H. Sun, and M. Wang, “Coupling of surface plasmons in nanostructured metal/dielectric multilayers with subwavelength hole arrays,” Phys. Rev. B 76, 195405–195408 (2007).
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Qiu, M.

Z. C. Ruan and M. Qiu, “Enhanced transmission through periodic arrays of subwavelength holes: The role of localized waveguide resonances,” Phys. Rev. Lett. 96, 233901 (2006).
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Z. Y. Wei, H. Q. Li, Y. Cao, C. Wu, J. Z. Ren, Z. H. Hang, H. Chen, D. Z. Zhang, and C. T. Chan, “Spatially coherent surface resonance states derived from magnetic resonances,” N. J. Phys. 12, 093020 (2010).
[CrossRef]

Z. Y. Wei, H. Q. Li, C. Wu, Y. Cao, J. Z. Ren, Z. H. Hang, H. Chen, D. Z. Zhang, and C. T. Chan, “Anomalous reflection from hybrid metamaterial slab,” Opt. Express 18, 12119–12126 (2010).
[CrossRef] [PubMed]

Rodriguez-Fortuno, F. J.

R. Ortuno, C. Garcia-Meca, F. J. Rodriguez-Fortuno, J. Marti, and A. Martinez, “Role of surface plasmon polari-tons on optical transmission through double layer metallic hole arrays,” Phys. Rev. B 79, 075425 (2009).
[CrossRef]

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Z. C. Ruan and M. Qiu, “Enhanced transmission through periodic arrays of subwavelength holes: The role of localized waveguide resonances,” Phys. Rev. Lett. 96, 233901 (2006).
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Segerink, F. B.

K. L. van der Molen, K. J. Klein Koerkamp, S. Enoch, F. B. Segerink, N. F. van Hulst, and L. Kuipers, “Role of shape and localized resonances in extraordinary transmission through periodic arrays of subwavelength holes: Experiment and theory,” Phys. Rev. B 72, 045421 (2005).
[CrossRef]

Sheng, P.

X. A. Xiao, W. Jinbo, Y. Sasagawa, F. Miyamaru, M. Y. Zhang, M. W. Takeda, C. Y. Qiu, W. J. Wen, and P. Sheng, “Resonant terahertz transmissions through metal hole array on silicon substrate,” Opt. Express 18, 18558–18564 (2010).
[CrossRef] [PubMed]

W. J. Wen, L. Zhou, B. Hou, C. T. Chan, and P. Sheng, “Resonant transmission of microwaves through subwave-length fractal slits in a metallic plate,” Phys. Rev. B 72, 153406 (2005).
[CrossRef]

P. Sheng, R. S. Stepleman, and P. N. Sanda, “Exact eigenfunctions for square-wave gratings: application to diffraction and surface-plasmon calculations,” Phys. Rev. B 26, 2907–2916 (1982).
[CrossRef]

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P. Sheng, R. S. Stepleman, and P. N. Sanda, “Exact eigenfunctions for square-wave gratings: application to diffraction and surface-plasmon calculations,” Phys. Rev. B 26, 2907–2916 (1982).
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Z. H. Tang, R. W. Peng, Z. Wang, X. Wu, Y. J. Bao, Q. J. Wang, Z. J. Zhang, W. H. Sun, and M. Wang, “Coupling of surface plasmons in nanostructured metal/dielectric multilayers with subwavelength hole arrays,” Phys. Rev. B 76, 195405–195408 (2007).
[CrossRef]

Takeda, M. W.

Tang, Z. H.

Z. H. Tang, R. W. Peng, Z. Wang, X. Wu, Y. J. Bao, Q. J. Wang, Z. J. Zhang, W. H. Sun, and M. Wang, “Coupling of surface plasmons in nanostructured metal/dielectric multilayers with subwavelength hole arrays,” Phys. Rev. B 76, 195405–195408 (2007).
[CrossRef]

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Taylor, J. A.

Thio, T.

L. Martin-Moreno, F. J. Garcia-Vidal, H. J. Lezec, K. M. Pellerin, T. Thio, J. B. Pendry, and T. W. Ebbesen, “Theory of extraordinary optical transmission through subwavelength hole arrays,” Phys. Rev. Lett. 86, 1114–1117 (2001).
[CrossRef] [PubMed]

H. F. Ghaemi, T. Thio, D. E. Grupp, T. W. Ebbesen, and H. J. Lezec, “Surface plasmons enhance optical transmission through subwavelength holes,” Phys. Rev. B 58, 6779–6782 (1998).
[CrossRef]

T. W. Ebbesen, H. J. Lezec, H. F. Ghaemi, T. Thio, and P. A. Wolff, “Extraordinary optical transmission through sub-wavelength hole arrays,” Nature 391, 667–669 (1998).
[CrossRef]

van der Molen, K. L.

K. L. van der Molen, K. J. Klein Koerkamp, S. Enoch, F. B. Segerink, N. F. van Hulst, and L. Kuipers, “Role of shape and localized resonances in extraordinary transmission through periodic arrays of subwavelength holes: Experiment and theory,” Phys. Rev. B 72, 045421 (2005).
[CrossRef]

van Hulst, N. F.

K. L. van der Molen, K. J. Klein Koerkamp, S. Enoch, F. B. Segerink, N. F. van Hulst, and L. Kuipers, “Role of shape and localized resonances in extraordinary transmission through periodic arrays of subwavelength holes: Experiment and theory,” Phys. Rev. B 72, 045421 (2005).
[CrossRef]

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F. I. Baida, D. Van Labeke, G. Granet, A. Moreau, and A. Belkhir, “Origin of the super-enhanced light transmission through a 2-D metallic annular aperture array: a study of photonic bands,” Appl. Phys. B: Lasers Opt. 79, 1–8 (2004).
[CrossRef]

Wang, M.

Z. H. Tang, R. W. Peng, Z. Wang, X. Wu, Y. J. Bao, Q. J. Wang, Z. J. Zhang, W. H. Sun, and M. Wang, “Coupling of surface plasmons in nanostructured metal/dielectric multilayers with subwavelength hole arrays,” Phys. Rev. B 76, 195405–195408 (2007).
[CrossRef]

Wang, Q. J.

L. Zhou, C. P. Huang, S. Wu, X. G. Yin, Y. M. Wang, Q. J. Wang, and Y. Y. Zhu, “Enhanced optical transmission through metal-dielectric multilayer gratings,” Appl. Phys. Lett. 97, 011905 (2010).
[CrossRef]

Z. H. Tang, R. W. Peng, Z. Wang, X. Wu, Y. J. Bao, Q. J. Wang, Z. J. Zhang, W. H. Sun, and M. Wang, “Coupling of surface plasmons in nanostructured metal/dielectric multilayers with subwavelength hole arrays,” Phys. Rev. B 76, 195405–195408 (2007).
[CrossRef]

Wang, Y. M.

L. Zhou, C. P. Huang, S. Wu, X. G. Yin, Y. M. Wang, Q. J. Wang, and Y. Y. Zhu, “Enhanced optical transmission through metal-dielectric multilayer gratings,” Appl. Phys. Lett. 97, 011905 (2010).
[CrossRef]

Wang, Z.

Z. H. Tang, R. W. Peng, Z. Wang, X. Wu, Y. J. Bao, Q. J. Wang, Z. J. Zhang, W. H. Sun, and M. Wang, “Coupling of surface plasmons in nanostructured metal/dielectric multilayers with subwavelength hole arrays,” Phys. Rev. B 76, 195405–195408 (2007).
[CrossRef]

Wei, Z. Y.

Z. Y. Wei, H. Q. Li, Y. Cao, C. Wu, J. Z. Ren, Z. H. Hang, H. Chen, D. Z. Zhang, and C. T. Chan, “Spatially coherent surface resonance states derived from magnetic resonances,” N. J. Phys. 12, 093020 (2010).
[CrossRef]

Z. Y. Wei, H. Q. Li, C. Wu, Y. Cao, J. Z. Ren, Z. H. Hang, H. Chen, D. Z. Zhang, and C. T. Chan, “Anomalous reflection from hybrid metamaterial slab,” Opt. Express 18, 12119–12126 (2010).
[CrossRef] [PubMed]

Z. Y. Wei, Y. Cao, J. Han, C. Wu, Y. C. Fan, and H. Q. Li, “Broadband negative refraction in stacked fishnet metamaterial,” Appl. Phys. Lett. 97, 141901 (2010).
[CrossRef]

Z. Y. Wei, J. X. Fu, Y. Cao, C. Wu, and H. Q. Li, “The impact of local resonance on the enhanced transmission and dispersion of surface resonances,” Photon. Nanostruct. 8, 94–101 (2010).
[CrossRef]

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G. Gay, O. Alloschery, B. V. de Lesegno, J. Weiner, and H. J. Lezec, “Surface wave generation and propagation on metallic subwavelength structures measured by far-field interferometry,” Phys. Rev. Lett. 96, 213901 (2006).
[CrossRef] [PubMed]

Wen, W. J.

X. A. Xiao, W. Jinbo, Y. Sasagawa, F. Miyamaru, M. Y. Zhang, M. W. Takeda, C. Y. Qiu, W. J. Wen, and P. Sheng, “Resonant terahertz transmissions through metal hole array on silicon substrate,” Opt. Express 18, 18558–18564 (2010).
[CrossRef] [PubMed]

W. J. Wen, L. Zhou, B. Hou, C. T. Chan, and P. Sheng, “Resonant transmission of microwaves through subwave-length fractal slits in a metallic plate,” Phys. Rev. B 72, 153406 (2005).
[CrossRef]

Wolff, P. A.

T. W. Ebbesen, H. J. Lezec, H. F. Ghaemi, T. Thio, and P. A. Wolff, “Extraordinary optical transmission through sub-wavelength hole arrays,” Nature 391, 667–669 (1998).
[CrossRef]

Woo, K.

Wu, C.

Z. Y. Wei, Y. Cao, J. Han, C. Wu, Y. C. Fan, and H. Q. Li, “Broadband negative refraction in stacked fishnet metamaterial,” Appl. Phys. Lett. 97, 141901 (2010).
[CrossRef]

Z. Y. Wei, H. Q. Li, C. Wu, Y. Cao, J. Z. Ren, Z. H. Hang, H. Chen, D. Z. Zhang, and C. T. Chan, “Anomalous reflection from hybrid metamaterial slab,” Opt. Express 18, 12119–12126 (2010).
[CrossRef] [PubMed]

Z. Y. Wei, H. Q. Li, Y. Cao, C. Wu, J. Z. Ren, Z. H. Hang, H. Chen, D. Z. Zhang, and C. T. Chan, “Spatially coherent surface resonance states derived from magnetic resonances,” N. J. Phys. 12, 093020 (2010).
[CrossRef]

Z. Y. Wei, J. X. Fu, Y. Cao, C. Wu, and H. Q. Li, “The impact of local resonance on the enhanced transmission and dispersion of surface resonances,” Photon. Nanostruct. 8, 94–101 (2010).
[CrossRef]

Wu, S.

L. Zhou, C. P. Huang, S. Wu, X. G. Yin, Y. M. Wang, Q. J. Wang, and Y. Y. Zhu, “Enhanced optical transmission through metal-dielectric multilayer gratings,” Appl. Phys. Lett. 97, 011905 (2010).
[CrossRef]

Wu, X.

Z. H. Tang, R. W. Peng, Z. Wang, X. Wu, Y. J. Bao, Q. J. Wang, Z. J. Zhang, W. H. Sun, and M. Wang, “Coupling of surface plasmons in nanostructured metal/dielectric multilayers with subwavelength hole arrays,” Phys. Rev. B 76, 195405–195408 (2007).
[CrossRef]

Xiao, X. A.

Ye, Y. H.

Yin, X. G.

L. Zhou, C. P. Huang, S. Wu, X. G. Yin, Y. M. Wang, Q. J. Wang, and Y. Y. Zhu, “Enhanced optical transmission through metal-dielectric multilayer gratings,” Appl. Phys. Lett. 97, 011905 (2010).
[CrossRef]

Zhang, D. Z.

Z. Y. Wei, H. Q. Li, Y. Cao, C. Wu, J. Z. Ren, Z. H. Hang, H. Chen, D. Z. Zhang, and C. T. Chan, “Spatially coherent surface resonance states derived from magnetic resonances,” N. J. Phys. 12, 093020 (2010).
[CrossRef]

Z. Y. Wei, H. Q. Li, C. Wu, Y. Cao, J. Z. Ren, Z. H. Hang, H. Chen, D. Z. Zhang, and C. T. Chan, “Anomalous reflection from hybrid metamaterial slab,” Opt. Express 18, 12119–12126 (2010).
[CrossRef] [PubMed]

Zhang, J. Y.

Zhang, M. Y.

Zhang, S.

W. J. Fan, S. Zhang, K. J. Malloy, and S. R. J. Brueck, “Enhanced mid-infrared transmission through nanoscale metallic coaxial-aperture arrays,” Opt. Express 13, 4406–4413 (2005).
[CrossRef] [PubMed]

W. J. Fan, S. Zhang, B. Minhas, K. J. Malloy, and S. R. J. Brueck, “Enhanced infrared transmission through subwavelength coaxial metallic arrays,” Phys. Rev. Lett. 94, 033902 (2005).
[CrossRef] [PubMed]

Zhang, Z. J.

Z. H. Tang, R. W. Peng, Z. Wang, X. Wu, Y. J. Bao, Q. J. Wang, Z. J. Zhang, W. H. Sun, and M. Wang, “Coupling of surface plasmons in nanostructured metal/dielectric multilayers with subwavelength hole arrays,” Phys. Rev. B 76, 195405–195408 (2007).
[CrossRef]

Zhou, L.

L. Zhou, C. P. Huang, S. Wu, X. G. Yin, Y. M. Wang, Q. J. Wang, and Y. Y. Zhu, “Enhanced optical transmission through metal-dielectric multilayer gratings,” Appl. Phys. Lett. 97, 011905 (2010).
[CrossRef]

W. J. Wen, L. Zhou, B. Hou, C. T. Chan, and P. Sheng, “Resonant transmission of microwaves through subwave-length fractal slits in a metallic plate,” Phys. Rev. B 72, 153406 (2005).
[CrossRef]

Zhu, Y. Y.

L. Zhou, C. P. Huang, S. Wu, X. G. Yin, Y. M. Wang, Q. J. Wang, and Y. Y. Zhu, “Enhanced optical transmission through metal-dielectric multilayer gratings,” Appl. Phys. Lett. 97, 011905 (2010).
[CrossRef]

Appl. Phys. B: Lasers Opt.

F. I. Baida, D. Van Labeke, G. Granet, A. Moreau, and A. Belkhir, “Origin of the super-enhanced light transmission through a 2-D metallic annular aperture array: a study of photonic bands,” Appl. Phys. B: Lasers Opt. 79, 1–8 (2004).
[CrossRef]

Appl. Phys. Lett.

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