Abstract

We demonstrate resonantly enhanced transmission of freely propagating coherent terahertz radiation through free-standing metal foils perforated with periodic arrays of sub-wavelength apertures. These arrays consist of 400 µm diameter apertures periodically spaced by 1 mm and 600 µm diameter apertures periodically spaced by 1.5 mm. We measure absolute amplitude transmission coefficients of ~0.6 at the resonance wavelength. Correspondingly, the ratio of the absolute amplitude transmission coefficient to the fractional aperture area at these resonance frequencies is ~5. This value at terahertz frequencies is significantly larger than equivalent values measured at optical frequencies.

©2004 Optical Society of America

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  1. 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]
  2. H. Raether, Surface Plasmons on Smooth and Rough Surfaces and on Gratings, (Vol. 111of Springer Tracts in Modern Physics, Springer-Verlag, Berlin, 1988).
  3. D.E. Grupp, H.J. Lezec, T. Thio, and T.W. Ebbesen, “Beyond the Bethe limit: tunable enhanced light transmission through a single sub-wavelength aperture,” Adv. Mater. 11, 860–862 (1999).
    [Crossref]
  4. J.A. Porto, F.J Garcia-Vidal, and J.B. Pendry, “transmission resonances on metallic gratings with very narrow slits,” Phys. Rev. Lett. 83, 2845–2848 (1999).
    [Crossref]
  5. M.M.J. Treacy, “Dynamical diffraction in metallic optical gratings,” Appl. Phys. Lett. 75, 606–608 (1999).
    [Crossref]
  6. 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]
  7. E. Popov, M. Neviere, S. Enoch, and R. Reinisch, “Theory of light transmission through subwavelength periodic hole arrays,” Phys. Rev. B 62, 16100–16108 (2000).
    [Crossref]
  8. 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 83, 6779–6782 (1998).
    [Crossref]
  9. D.E. Grupp, H.J. Lezec, T.W. Ebbesen, K.M. Pellerin, and T. Thio, “Crucial role of metal surface in enhanced transmission through subwavelength apertures,” Appl. Phys. Lett. 77, 1569–1571 (2000).
    [Crossref]
  10. T. Thio, K.M. Pellerin, R.A. Linke, H.J. Lezec, and T.W. Ebbesen, “Enhanced light transmission through a single subwavelength aperture,” Opt. Lett. 26, 1972–1974 (2001).
    [Crossref]
  11. A. Krishnan, T. Thio, T.J. Kim, H.J. Lezec, T.W. Ebbesen, P.A. Wolff, J. Pendry, L. Martin-Moreno, and F.J. Garcia-Vidal, “Evanescently coupled resonance in surface plasmon enhanced transmission,” Opt. Commun. 200, 1–7 (2001).
    [Crossref]
  12. A. Dogariu, A. Nahata, R.A. Linke, L.J. Wang, and R. Trebino, “Optical pulse propagation through metallic nano-apertures,” Appl. Phys. B 74, s69–s73 (2002).
    [Crossref]
  13. M. A. Ordal, L. L. Long, R. J. Bell, S. E. Bell, R. R. Bell, R. W. Alexander, and C. A. Ward, “Optical properties of the metals Al, Co, Cu, Au, Fe, Pb, Ni, Pd, Pt, Ag, Ti, and W in the infrared and far infrared,” Appl. Opt. 22, 1099–1119 (1983).
    [Crossref] [PubMed]
  14. F. Yang, J.R. Sambles, and G.W. Bradberry, “Long-range surface modes supported by thin films,” Phys. Rev. B 44, 5855–5872 (1991).
    [Crossref]
  15. D. Grischkowskyin Frontiers in Nonlinear Optics, edited by H. Walther, N. Koroteev, and M.O. Scully (Institute of Physics Publishing, Philadelphia, 1992) and references therein.
  16. A. Nahata, J.T. Yardley, and T.F. Heinz, “Free-space electro-optic detection of continuous-wave terahertz radiation,” Appl. Phys. Lett. 75, 2524–2526 (1999).
    [Crossref]

2002 (1)

A. Dogariu, A. Nahata, R.A. Linke, L.J. Wang, and R. Trebino, “Optical pulse propagation through metallic nano-apertures,” Appl. Phys. B 74, s69–s73 (2002).
[Crossref]

2001 (3)

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]

A. Krishnan, T. Thio, T.J. Kim, H.J. Lezec, T.W. Ebbesen, P.A. Wolff, J. Pendry, L. Martin-Moreno, and F.J. Garcia-Vidal, “Evanescently coupled resonance in surface plasmon enhanced transmission,” Opt. Commun. 200, 1–7 (2001).
[Crossref]

T. Thio, K.M. Pellerin, R.A. Linke, H.J. Lezec, and T.W. Ebbesen, “Enhanced light transmission through a single subwavelength aperture,” Opt. Lett. 26, 1972–1974 (2001).
[Crossref]

2000 (2)

E. Popov, M. Neviere, S. Enoch, and R. Reinisch, “Theory of light transmission through subwavelength periodic hole arrays,” Phys. Rev. B 62, 16100–16108 (2000).
[Crossref]

D.E. Grupp, H.J. Lezec, T.W. Ebbesen, K.M. Pellerin, and T. Thio, “Crucial role of metal surface in enhanced transmission through subwavelength apertures,” Appl. Phys. Lett. 77, 1569–1571 (2000).
[Crossref]

1999 (4)

D.E. Grupp, H.J. Lezec, T. Thio, and T.W. Ebbesen, “Beyond the Bethe limit: tunable enhanced light transmission through a single sub-wavelength aperture,” Adv. Mater. 11, 860–862 (1999).
[Crossref]

J.A. Porto, F.J Garcia-Vidal, and J.B. Pendry, “transmission resonances on metallic gratings with very narrow slits,” Phys. Rev. Lett. 83, 2845–2848 (1999).
[Crossref]

M.M.J. Treacy, “Dynamical diffraction in metallic optical gratings,” Appl. Phys. Lett. 75, 606–608 (1999).
[Crossref]

A. Nahata, J.T. Yardley, and T.F. Heinz, “Free-space electro-optic detection of continuous-wave terahertz radiation,” Appl. Phys. Lett. 75, 2524–2526 (1999).
[Crossref]

1998 (2)

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 83, 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]

1991 (1)

F. Yang, J.R. Sambles, and G.W. Bradberry, “Long-range surface modes supported by thin films,” Phys. Rev. B 44, 5855–5872 (1991).
[Crossref]

1983 (1)

Alexander, R. W.

Bell, R. J.

Bell, R. R.

Bell, S. E.

Bradberry, G.W.

F. Yang, J.R. Sambles, and G.W. Bradberry, “Long-range surface modes supported by thin films,” Phys. Rev. B 44, 5855–5872 (1991).
[Crossref]

Dogariu, A.

A. Dogariu, A. Nahata, R.A. Linke, L.J. Wang, and R. Trebino, “Optical pulse propagation through metallic nano-apertures,” Appl. Phys. B 74, s69–s73 (2002).
[Crossref]

Ebbesen, T.W.

A. Krishnan, T. Thio, T.J. Kim, H.J. Lezec, T.W. Ebbesen, P.A. Wolff, J. Pendry, L. Martin-Moreno, and F.J. Garcia-Vidal, “Evanescently coupled resonance in surface plasmon enhanced transmission,” Opt. Commun. 200, 1–7 (2001).
[Crossref]

T. Thio, K.M. Pellerin, R.A. Linke, H.J. Lezec, and T.W. Ebbesen, “Enhanced light transmission through a single subwavelength aperture,” Opt. Lett. 26, 1972–1974 (2001).
[Crossref]

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]

D.E. Grupp, H.J. Lezec, T.W. Ebbesen, K.M. Pellerin, and T. Thio, “Crucial role of metal surface in enhanced transmission through subwavelength apertures,” Appl. Phys. Lett. 77, 1569–1571 (2000).
[Crossref]

D.E. Grupp, H.J. Lezec, T. Thio, and T.W. Ebbesen, “Beyond the Bethe limit: tunable enhanced light transmission through a single sub-wavelength aperture,” Adv. Mater. 11, 860–862 (1999).
[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]

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 83, 6779–6782 (1998).
[Crossref]

Enoch, S.

E. Popov, M. Neviere, S. Enoch, and R. Reinisch, “Theory of light transmission through subwavelength periodic hole arrays,” Phys. Rev. B 62, 16100–16108 (2000).
[Crossref]

Garcia-Vidal, F.J

J.A. Porto, F.J Garcia-Vidal, and J.B. Pendry, “transmission resonances on metallic gratings with very narrow slits,” Phys. Rev. Lett. 83, 2845–2848 (1999).
[Crossref]

Garcia-Vidal, F.J.

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]

A. Krishnan, T. Thio, T.J. Kim, H.J. Lezec, T.W. Ebbesen, P.A. Wolff, J. Pendry, L. Martin-Moreno, and F.J. Garcia-Vidal, “Evanescently coupled resonance in surface plasmon enhanced transmission,” Opt. Commun. 200, 1–7 (2001).
[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,” 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 83, 6779–6782 (1998).
[Crossref]

Grischkowsky, D.

D. Grischkowskyin Frontiers in Nonlinear Optics, edited by H. Walther, N. Koroteev, and M.O. Scully (Institute of Physics Publishing, Philadelphia, 1992) and references therein.

Grupp, D.E.

D.E. Grupp, H.J. Lezec, T.W. Ebbesen, K.M. Pellerin, and T. Thio, “Crucial role of metal surface in enhanced transmission through subwavelength apertures,” Appl. Phys. Lett. 77, 1569–1571 (2000).
[Crossref]

D.E. Grupp, H.J. Lezec, T. Thio, and T.W. Ebbesen, “Beyond the Bethe limit: tunable enhanced light transmission through a single sub-wavelength aperture,” Adv. Mater. 11, 860–862 (1999).
[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 83, 6779–6782 (1998).
[Crossref]

Heinz, T.F.

A. Nahata, J.T. Yardley, and T.F. Heinz, “Free-space electro-optic detection of continuous-wave terahertz radiation,” Appl. Phys. Lett. 75, 2524–2526 (1999).
[Crossref]

Kim, T.J.

A. Krishnan, T. Thio, T.J. Kim, H.J. Lezec, T.W. Ebbesen, P.A. Wolff, J. Pendry, L. Martin-Moreno, and F.J. Garcia-Vidal, “Evanescently coupled resonance in surface plasmon enhanced transmission,” Opt. Commun. 200, 1–7 (2001).
[Crossref]

Krishnan, A.

A. Krishnan, T. Thio, T.J. Kim, H.J. Lezec, T.W. Ebbesen, P.A. Wolff, J. Pendry, L. Martin-Moreno, and F.J. Garcia-Vidal, “Evanescently coupled resonance in surface plasmon enhanced transmission,” Opt. Commun. 200, 1–7 (2001).
[Crossref]

Lezec, H.J

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]

Lezec, H.J.

A. Krishnan, T. Thio, T.J. Kim, H.J. Lezec, T.W. Ebbesen, P.A. Wolff, J. Pendry, L. Martin-Moreno, and F.J. Garcia-Vidal, “Evanescently coupled resonance in surface plasmon enhanced transmission,” Opt. Commun. 200, 1–7 (2001).
[Crossref]

T. Thio, K.M. Pellerin, R.A. Linke, H.J. Lezec, and T.W. Ebbesen, “Enhanced light transmission through a single subwavelength aperture,” Opt. Lett. 26, 1972–1974 (2001).
[Crossref]

D.E. Grupp, H.J. Lezec, T.W. Ebbesen, K.M. Pellerin, and T. Thio, “Crucial role of metal surface in enhanced transmission through subwavelength apertures,” Appl. Phys. Lett. 77, 1569–1571 (2000).
[Crossref]

D.E. Grupp, H.J. Lezec, T. Thio, and T.W. Ebbesen, “Beyond the Bethe limit: tunable enhanced light transmission through a single sub-wavelength aperture,” Adv. Mater. 11, 860–862 (1999).
[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]

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 83, 6779–6782 (1998).
[Crossref]

Linke, R.A.

A. Dogariu, A. Nahata, R.A. Linke, L.J. Wang, and R. Trebino, “Optical pulse propagation through metallic nano-apertures,” Appl. Phys. B 74, s69–s73 (2002).
[Crossref]

T. Thio, K.M. Pellerin, R.A. Linke, H.J. Lezec, and T.W. Ebbesen, “Enhanced light transmission through a single subwavelength aperture,” Opt. Lett. 26, 1972–1974 (2001).
[Crossref]

Long, L. L.

Martin-Moreno, L.

A. Krishnan, T. Thio, T.J. Kim, H.J. Lezec, T.W. Ebbesen, P.A. Wolff, J. Pendry, L. Martin-Moreno, and F.J. Garcia-Vidal, “Evanescently coupled resonance in surface plasmon enhanced transmission,” Opt. Commun. 200, 1–7 (2001).
[Crossref]

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]

Nahata, A.

A. Dogariu, A. Nahata, R.A. Linke, L.J. Wang, and R. Trebino, “Optical pulse propagation through metallic nano-apertures,” Appl. Phys. B 74, s69–s73 (2002).
[Crossref]

A. Nahata, J.T. Yardley, and T.F. Heinz, “Free-space electro-optic detection of continuous-wave terahertz radiation,” Appl. Phys. Lett. 75, 2524–2526 (1999).
[Crossref]

Neviere, M.

E. Popov, M. Neviere, S. Enoch, and R. Reinisch, “Theory of light transmission through subwavelength periodic hole arrays,” Phys. Rev. B 62, 16100–16108 (2000).
[Crossref]

Ordal, M. A.

Pellerin, K.M.

T. Thio, K.M. Pellerin, R.A. Linke, H.J. Lezec, and T.W. Ebbesen, “Enhanced light transmission through a single subwavelength aperture,” Opt. Lett. 26, 1972–1974 (2001).
[Crossref]

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]

D.E. Grupp, H.J. Lezec, T.W. Ebbesen, K.M. Pellerin, and T. Thio, “Crucial role of metal surface in enhanced transmission through subwavelength apertures,” Appl. Phys. Lett. 77, 1569–1571 (2000).
[Crossref]

Pendry, J.

A. Krishnan, T. Thio, T.J. Kim, H.J. Lezec, T.W. Ebbesen, P.A. Wolff, J. Pendry, L. Martin-Moreno, and F.J. Garcia-Vidal, “Evanescently coupled resonance in surface plasmon enhanced transmission,” Opt. Commun. 200, 1–7 (2001).
[Crossref]

Pendry, J. B

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]

Pendry, J.B.

J.A. Porto, F.J Garcia-Vidal, and J.B. Pendry, “transmission resonances on metallic gratings with very narrow slits,” Phys. Rev. Lett. 83, 2845–2848 (1999).
[Crossref]

Popov, E.

E. Popov, M. Neviere, S. Enoch, and R. Reinisch, “Theory of light transmission through subwavelength periodic hole arrays,” Phys. Rev. B 62, 16100–16108 (2000).
[Crossref]

Porto, J.A.

J.A. Porto, F.J Garcia-Vidal, and J.B. Pendry, “transmission resonances on metallic gratings with very narrow slits,” Phys. Rev. Lett. 83, 2845–2848 (1999).
[Crossref]

Raether, H.

H. Raether, Surface Plasmons on Smooth and Rough Surfaces and on Gratings, (Vol. 111of Springer Tracts in Modern Physics, Springer-Verlag, Berlin, 1988).

Reinisch, R.

E. Popov, M. Neviere, S. Enoch, and R. Reinisch, “Theory of light transmission through subwavelength periodic hole arrays,” Phys. Rev. B 62, 16100–16108 (2000).
[Crossref]

Sambles, J.R.

F. Yang, J.R. Sambles, and G.W. Bradberry, “Long-range surface modes supported by thin films,” Phys. Rev. B 44, 5855–5872 (1991).
[Crossref]

Thio, T.

T. Thio, K.M. Pellerin, R.A. Linke, H.J. Lezec, and T.W. Ebbesen, “Enhanced light transmission through a single subwavelength aperture,” Opt. Lett. 26, 1972–1974 (2001).
[Crossref]

A. Krishnan, T. Thio, T.J. Kim, H.J. Lezec, T.W. Ebbesen, P.A. Wolff, J. Pendry, L. Martin-Moreno, and F.J. Garcia-Vidal, “Evanescently coupled resonance in surface plasmon enhanced transmission,” Opt. Commun. 200, 1–7 (2001).
[Crossref]

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]

D.E. Grupp, H.J. Lezec, T.W. Ebbesen, K.M. Pellerin, and T. Thio, “Crucial role of metal surface in enhanced transmission through subwavelength apertures,” Appl. Phys. Lett. 77, 1569–1571 (2000).
[Crossref]

D.E. Grupp, H.J. Lezec, T. Thio, and T.W. Ebbesen, “Beyond the Bethe limit: tunable enhanced light transmission through a single sub-wavelength aperture,” Adv. Mater. 11, 860–862 (1999).
[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]

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 83, 6779–6782 (1998).
[Crossref]

Treacy, M.M.J.

M.M.J. Treacy, “Dynamical diffraction in metallic optical gratings,” Appl. Phys. Lett. 75, 606–608 (1999).
[Crossref]

Trebino, R.

A. Dogariu, A. Nahata, R.A. Linke, L.J. Wang, and R. Trebino, “Optical pulse propagation through metallic nano-apertures,” Appl. Phys. B 74, s69–s73 (2002).
[Crossref]

Wang, L.J.

A. Dogariu, A. Nahata, R.A. Linke, L.J. Wang, and R. Trebino, “Optical pulse propagation through metallic nano-apertures,” Appl. Phys. B 74, s69–s73 (2002).
[Crossref]

Ward, C. A.

Wolff, P.A.

A. Krishnan, T. Thio, T.J. Kim, H.J. Lezec, T.W. Ebbesen, P.A. Wolff, J. Pendry, L. Martin-Moreno, and F.J. Garcia-Vidal, “Evanescently coupled resonance in surface plasmon enhanced transmission,” Opt. Commun. 200, 1–7 (2001).
[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]

Yang, F.

F. Yang, J.R. Sambles, and G.W. Bradberry, “Long-range surface modes supported by thin films,” Phys. Rev. B 44, 5855–5872 (1991).
[Crossref]

Yardley, J.T.

A. Nahata, J.T. Yardley, and T.F. Heinz, “Free-space electro-optic detection of continuous-wave terahertz radiation,” Appl. Phys. Lett. 75, 2524–2526 (1999).
[Crossref]

Adv. Mater. (1)

D.E. Grupp, H.J. Lezec, T. Thio, and T.W. Ebbesen, “Beyond the Bethe limit: tunable enhanced light transmission through a single sub-wavelength aperture,” Adv. Mater. 11, 860–862 (1999).
[Crossref]

Appl. Opt. (1)

Appl. Phys. B (1)

A. Dogariu, A. Nahata, R.A. Linke, L.J. Wang, and R. Trebino, “Optical pulse propagation through metallic nano-apertures,” Appl. Phys. B 74, s69–s73 (2002).
[Crossref]

Appl. Phys. Lett. (3)

D.E. Grupp, H.J. Lezec, T.W. Ebbesen, K.M. Pellerin, and T. Thio, “Crucial role of metal surface in enhanced transmission through subwavelength apertures,” Appl. Phys. Lett. 77, 1569–1571 (2000).
[Crossref]

A. Nahata, J.T. Yardley, and T.F. Heinz, “Free-space electro-optic detection of continuous-wave terahertz radiation,” Appl. Phys. Lett. 75, 2524–2526 (1999).
[Crossref]

M.M.J. Treacy, “Dynamical diffraction in metallic optical gratings,” Appl. Phys. Lett. 75, 606–608 (1999).
[Crossref]

Nature (1)

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]

Opt. Commun. (1)

A. Krishnan, T. Thio, T.J. Kim, H.J. Lezec, T.W. Ebbesen, P.A. Wolff, J. Pendry, L. Martin-Moreno, and F.J. Garcia-Vidal, “Evanescently coupled resonance in surface plasmon enhanced transmission,” Opt. Commun. 200, 1–7 (2001).
[Crossref]

Opt. Lett. (1)

Phys Rev. Lett. (1)

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]

Phys. Rev. B (3)

E. Popov, M. Neviere, S. Enoch, and R. Reinisch, “Theory of light transmission through subwavelength periodic hole arrays,” Phys. Rev. B 62, 16100–16108 (2000).
[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 83, 6779–6782 (1998).
[Crossref]

F. Yang, J.R. Sambles, and G.W. Bradberry, “Long-range surface modes supported by thin films,” Phys. Rev. B 44, 5855–5872 (1991).
[Crossref]

Phys. Rev. Lett. (1)

J.A. Porto, F.J Garcia-Vidal, and J.B. Pendry, “transmission resonances on metallic gratings with very narrow slits,” Phys. Rev. Lett. 83, 2845–2848 (1999).
[Crossref]

Other (2)

H. Raether, Surface Plasmons on Smooth and Rough Surfaces and on Gratings, (Vol. 111of Springer Tracts in Modern Physics, Springer-Verlag, Berlin, 1988).

D. Grischkowskyin Frontiers in Nonlinear Optics, edited by H. Walther, N. Koroteev, and M.O. Scully (Institute of Physics Publishing, Philadelphia, 1992) and references therein.

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Figures (3)

Fig. 1.
Fig. 1. Measured time-domain THz waveforms transmitted through an aperture array fabricated in (a) a 75 µm thick free-standing stainless steel foil and (b) a 75 µm thick free-standing stainless steel foil with 3 µm of silver deposited on both surfaces. Sample A consists of 400 µm diameter apertures periodically spaced by 1 mm. Sample B consists of 600 µm diameter apertures periodically spaced by 1.5 mm.

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Fig. 2.
Fig. 2. (a) Magnitude and (b) phase of the amplitude transmission coefficient obtained using a 75 µm free-standing stainless steel foil.

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Fig. 3.
Fig. 3. (a) Magnitude and (b) phase of the amplitude transmission coefficient obtained using a 75 µm free-standing stainless steel foil coated on both sides with 3 µm of silver.

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Equations (8)

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k sp = k x + i G x + j G y ,
k sp = ω c ( ε d ε m ε d + ε m ) 1 2 ,
k spr = ω c ( ε d ( ε mr + ε d ) 2 + ε mi 2 ) 1 2 ( ε e 2 + ( ε e 4 + ε d 2 ε mi 2 ) 1 2 2 ) 1 2 = ω c n sp
k spi = ω c ( ε d ( ε mr + ε d ) 2 + ε mi 2 ) 1 2 ε d ε mi [ 2 ( ε e 2 + ( ε e 4 + ε d 2 ε mi 2 ) 1 2 ) ] 1 2
k spr = ω c n sp ≈ ω c ε d
k spi = ω c ε d 3 2 2 ε mi .
λ peak = P i 2 + j 2 n sp = P i 2 + j 2 ε d
E transmitted ( f ) E incident ( f ) = t ( f ) = ∣ t ( f ) ∣ exp [ φ ( f ) ] .

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