Abstract

We demonstrate analytically and numerically that the anomalous extraordinary optical absorption through thin metal grating with air slit arrays can be excited simultaneously by long and short range surface plasmonic modes supported on the surfaces of thin metal film in weak coupling while this absorption can only be excited by short range surface plasmonic mode in strong coupling. In particular, we predict localized plasmonic mode inside air slits holding double-effect to generate the anomalous extraordinary optical absorption when only this mode is present and to suppress this absorption when the pathways excited by localized and surface plasmonic modes are present simultaneously. Furthermore, we present that double-layer metal grating consisting of two identical single-layer metal gratings can be exploited to enhance absorption efficiency more than 99% and 90% for excited localized plasmonic modes and surface plasmonic modes respectively.

© 2009 OSA

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  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. F. Ghaemi, T. Thio, D. E. Grupp, and H. J. Lezec, “Surface plasmons enhance optical transmission through subwavelength holes,” Phys. Rev. B 58(11), 6779–6782 (1998).
    [CrossRef]
  3. E. Popov, M. Neviere, S. Enoch, and R. Reinisch, “Theory of light transmission through subwavelength periodic hole arrays,” Phys. Rev. B 62(23), 16100–16108 (2000).
    [CrossRef]
  4. L. Martín-Moreno, F. J. García-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(6), 1114–1117 (2001).
    [CrossRef] [PubMed]
  5. M. Sarrazin, J.-P. Vigneron, and J.-M. Vigoureux, “Role of Wood anomalies in optical properties of thin metallic films with a bidimensional array of subwavelength holes,” Phys. Rev. B 67(8), 085415 (2003).
    [CrossRef]
  6. S.-H. Chang, S. Gray, and G. Schatz, “Surface plasmon generation and light transmission by isolated nanoholes and arrays of nanoholes in thin metal films,” Opt. Exp. 13(8), 3150–3165 (2005).
    [CrossRef]
  7. F. J. Garcia de Abajo, J. J. Saenz, I. Campillo, and J. S. Dolado, “Site and lattice resonances in metallic hole arrays,” Opt. Express 14(1), 7–18 (2006).
    [CrossRef] [PubMed]
  8. C. Genet and T. W. Ebbesen, “Light in tiny holes,” Nature 445(7123), 39–46 (2007).
    [CrossRef] [PubMed]
  9. A. V. Kats, M. L. Nesterov, and A. Yu. Nikitin, “Excitation of surface plasmon-polaritons in metal films with double periodic modulations: Anomalous optical effects,” Phys. Rev. B 76(4), 045413 (2007).
    [CrossRef]
  10. J. A. Porto, F. J. Garcia-Vidal, and J. B. Pendry, “Transmission Resonances on Metallic Gratings with Very Narrow Slits,” Phys. Rev. Lett. 83(14), 2845–2848 (1999).
    [CrossRef]
  11. 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]
  12. Y. Takakura, “Optical resonance in a narrow slit in a thick metallic screen,” Phys. Rev. Lett. 86(24), 5601–5603 (2001).
    [CrossRef] [PubMed]
  13. Q. Cao and P. Lalanne, “Negative role of surface plasmons in the transmission of metallic gratings with very narrow slits,” Phys. Rev. Lett. 88(5), 057403–057406 (2002).
    [CrossRef] [PubMed]
  14. P. Lalanne, C. Sauvan, J. P. Hugonin, J. C. Rodier, and P. Chavel, “Perturbative approach for surface plasmon effects on flat interfaces periodically corrugated by subwavelength apertures,” Phys. Rev. Lett. 68, 125404–125407 (2003).
  15. Y. Xie, A. R. Zakharian, J. V. Moloney, and M. Mansuripur, “Transmission of light through a periodic array of slits in a thick metallic film,” Opt. Express 13(12), 4485–4491 (2005).
    [CrossRef] [PubMed]
  16. H. Raether, Surface Plasmons on smooth and Rough Surfaces and on Gratings, Springer Tracts and in Modern Physics (Springer-Verlag, Berlin, 1988)
  17. K. J. K. Koerkamp, S. Enoch, F. B. Segerink, N. F. van Hulst, and L. Kuipers, “Strong influence of hole shape on extraordinary transmission through periodic arrays of subwavelength holes,” Phys. Rev. Lett. 92(18), 183901–183904 (2004).
    [CrossRef] [PubMed]
  18. R. Gordon, A. G. Brolo, A. McKinnon, A. Rajora, B. Leathem, and K. L. Kavanagh, “Strong polarization in the optical transmission through elliptical nanohole arrays,” Phys. Rev. Lett. 92(3), 037401–037404 (2004).
    [CrossRef] [PubMed]
  19. 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]
  20. Z. C. Ruan and M. Qiu, “Enhanced transmission through periodic arrays of subwavelength holes: the role of localized waveguide resonances,” Phys. Rev. Lett. 96(23), 233901–233904 (2006).
    [CrossRef] [PubMed]
  21. C. Huang, Q. Wang, and Y. Zhu, “Dual effect of surface plasmons in light transmission through perforated metal films,” Phys. Rev. B 75(24), 245421 (2007).
    [CrossRef]
  22. P. B. Catrysse and S. Fan, “Near-complete transmission through subwavelength hole arrays in phonon-polaritonic thin films,” Phys. Rev. B 75(7), 075422 (2007).
    [CrossRef]
  23. P. B. Catrysse and S. Fan, “Propagation plasmonic mode in nanoscale apertures and its implications for extraordinary transmission,” J. Nanophotonics 2(1), 021790 (2008).
    [CrossRef]
  24. Y.-J. Bao, R.-W. Peng, D.-J. Shu, M. Wang, X. Lu, J. Shao, W. Lu, and N.-B. Ming, “Role of interference between localized and propagating surface waves on the extraordinary optical transmission through a subwavelength-aperture array,” Phys. Rev. Lett. 101(8), 087401–087404 (2008).
    [CrossRef] [PubMed]
  25. B. Sturman, E. Podivilov, and M. Gorkunov, “Theory of extraordinary light transmission through arrays of subwavelength slits,” Phys. Rev. B 77(7), 075106 (2008).
    [CrossRef]
  26. H. Liu and P. Lalanne, “Microscopic theory of the extraordinary optical transmission,” Nature 452(7188), 728–731 (2008).
    [CrossRef] [PubMed]
  27. Z. Chen, I. R. Hooper, and J. R. Sambles, “Strongly coupled surface plasmons on thin shallow metallic gratings,” Phys. Rev. B 77(16), 161405 (2008).
    [CrossRef]
  28. I. S. Spevak, A. Yu. Nikitin, E. V. Bezuglyi, A. Levchenko, and A. V. Kats, “Resonantly suppressed transmission and anomalously enhanced light absorption in periodically modulated ultrathin metal films,” Phys. Rev. B 79(16), 161406 (2009).
    [CrossRef]
  29. E. N. Economou, “Surface Plasmons in Thin Films,” Phys. Rev. 182(2), 539–554 (1969).
    [CrossRef]
  30. P. Berini, R. Charbonneau, and N. Lahoud, “Long-range surface plasmons on ultrathin membranes,” Nano Lett. 7(5), 1376–1380 (2007).
    [CrossRef] [PubMed]
  31. J. S. White, G. Veronis, Z. Yu, E. S. Barnard, A. Chandran, S. Fan, and M. L. Brongersma, “Extraordinary optical absorption through subwavelength slits,” Opt. Lett. 34(5), 686–688 (2009).
    [CrossRef] [PubMed]
  32. 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. Photonics 3(3), 152–156 (2009).
    [CrossRef]
  33. 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(4), 516–518 (2006).
    [CrossRef] [PubMed]
  34. E. D. Palik, Handbook of Optical Constants of Solids (New York: Academic, 1985).
  35. S. G. Johnson, and J. D. Joannopoulos, FDTD software: http://ab-initio.mit.edu/meep .
  36. A. Taflove, and S. C. Hagness, Computational Electrodynamics: The Finite-Difference Time-Domain Method, Second Edition (Artech, Norwood, Mass. 2000)
  37. R. W. Wood, “Anomalous diffraction gratings,” Phys. Rev. 48(12), 928–936 (1935).
    [CrossRef]
  38. K. Y. Bliokh, Y. P. Bliokh, V. Freilikher, S. Savel’ev, and F. Nori, “Colloquium: Unusual resonators: plasmonics, metamaterials, and random media,” Rev. Mod. Phys. 80(4), 1201–1213 (2008).
    [CrossRef]
  39. Y. Xu, Y. Li, R. K. Lee, and A. Yariv, “Scattering-theory analysis of waveguide-resonator coupling,” Phys. Rev. E Stat. Phys. Plasmas Fluids Relat. Interdiscip. Topics 62(55 Pt B), 7389–7404 (2000).
    [CrossRef] [PubMed]

2009

I. S. Spevak, A. Yu. Nikitin, E. V. Bezuglyi, A. Levchenko, and A. V. Kats, “Resonantly suppressed transmission and anomalously enhanced light absorption in periodically modulated ultrathin metal films,” Phys. Rev. B 79(16), 161406 (2009).
[CrossRef]

J. S. White, G. Veronis, Z. Yu, E. S. Barnard, A. Chandran, S. Fan, and M. L. Brongersma, “Extraordinary optical absorption through subwavelength slits,” Opt. Lett. 34(5), 686–688 (2009).
[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. Photonics 3(3), 152–156 (2009).
[CrossRef]

2008

K. Y. Bliokh, Y. P. Bliokh, V. Freilikher, S. Savel’ev, and F. Nori, “Colloquium: Unusual resonators: plasmonics, metamaterials, and random media,” Rev. Mod. Phys. 80(4), 1201–1213 (2008).
[CrossRef]

P. B. Catrysse and S. Fan, “Propagation plasmonic mode in nanoscale apertures and its implications for extraordinary transmission,” J. Nanophotonics 2(1), 021790 (2008).
[CrossRef]

Y.-J. Bao, R.-W. Peng, D.-J. Shu, M. Wang, X. Lu, J. Shao, W. Lu, and N.-B. Ming, “Role of interference between localized and propagating surface waves on the extraordinary optical transmission through a subwavelength-aperture array,” Phys. Rev. Lett. 101(8), 087401–087404 (2008).
[CrossRef] [PubMed]

B. Sturman, E. Podivilov, and M. Gorkunov, “Theory of extraordinary light transmission through arrays of subwavelength slits,” Phys. Rev. B 77(7), 075106 (2008).
[CrossRef]

H. Liu and P. Lalanne, “Microscopic theory of the extraordinary optical transmission,” Nature 452(7188), 728–731 (2008).
[CrossRef] [PubMed]

Z. Chen, I. R. Hooper, and J. R. Sambles, “Strongly coupled surface plasmons on thin shallow metallic gratings,” Phys. Rev. B 77(16), 161405 (2008).
[CrossRef]

2007

C. Huang, Q. Wang, and Y. Zhu, “Dual effect of surface plasmons in light transmission through perforated metal films,” Phys. Rev. B 75(24), 245421 (2007).
[CrossRef]

P. B. Catrysse and S. Fan, “Near-complete transmission through subwavelength hole arrays in phonon-polaritonic thin films,” Phys. Rev. B 75(7), 075422 (2007).
[CrossRef]

P. Berini, R. Charbonneau, and N. Lahoud, “Long-range surface plasmons on ultrathin membranes,” Nano Lett. 7(5), 1376–1380 (2007).
[CrossRef] [PubMed]

C. Genet and T. W. Ebbesen, “Light in tiny holes,” Nature 445(7123), 39–46 (2007).
[CrossRef] [PubMed]

A. V. Kats, M. L. Nesterov, and A. Yu. Nikitin, “Excitation of surface plasmon-polaritons in metal films with double periodic modulations: Anomalous optical effects,” Phys. Rev. B 76(4), 045413 (2007).
[CrossRef]

2006

2005

Y. Xie, A. R. Zakharian, J. V. Moloney, and M. Mansuripur, “Transmission of light through a periodic array of slits in a thick metallic film,” Opt. Express 13(12), 4485–4491 (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]

S.-H. Chang, S. Gray, and G. Schatz, “Surface plasmon generation and light transmission by isolated nanoholes and arrays of nanoholes in thin metal films,” Opt. Exp. 13(8), 3150–3165 (2005).
[CrossRef]

2004

K. J. K. Koerkamp, S. Enoch, F. B. Segerink, N. F. van Hulst, and L. Kuipers, “Strong influence of hole shape on extraordinary transmission through periodic arrays of subwavelength holes,” Phys. Rev. Lett. 92(18), 183901–183904 (2004).
[CrossRef] [PubMed]

R. Gordon, A. G. Brolo, A. McKinnon, A. Rajora, B. Leathem, and K. L. Kavanagh, “Strong polarization in the optical transmission through elliptical nanohole arrays,” Phys. Rev. Lett. 92(3), 037401–037404 (2004).
[CrossRef] [PubMed]

2003

P. Lalanne, C. Sauvan, J. P. Hugonin, J. C. Rodier, and P. Chavel, “Perturbative approach for surface plasmon effects on flat interfaces periodically corrugated by subwavelength apertures,” Phys. Rev. Lett. 68, 125404–125407 (2003).

M. Sarrazin, J.-P. Vigneron, and J.-M. Vigoureux, “Role of Wood anomalies in optical properties of thin metallic films with a bidimensional array of subwavelength holes,” Phys. Rev. B 67(8), 085415 (2003).
[CrossRef]

2002

Q. Cao and P. Lalanne, “Negative role of surface plasmons in the transmission of metallic gratings with very narrow slits,” Phys. Rev. Lett. 88(5), 057403–057406 (2002).
[CrossRef] [PubMed]

2001

Y. Takakura, “Optical resonance in a narrow slit in a thick metallic screen,” Phys. Rev. Lett. 86(24), 5601–5603 (2001).
[CrossRef] [PubMed]

L. Martín-Moreno, F. J. García-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(6), 1114–1117 (2001).
[CrossRef] [PubMed]

2000

E. Popov, M. Neviere, S. Enoch, and R. Reinisch, “Theory of light transmission through subwavelength periodic hole arrays,” Phys. Rev. B 62(23), 16100–16108 (2000).
[CrossRef]

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]

Y. Xu, Y. Li, R. K. Lee, and A. Yariv, “Scattering-theory analysis of waveguide-resonator coupling,” Phys. Rev. E Stat. Phys. Plasmas Fluids Relat. Interdiscip. Topics 62(55 Pt B), 7389–7404 (2000).
[CrossRef] [PubMed]

1999

J. A. Porto, F. J. Garcia-Vidal, and J. B. Pendry, “Transmission Resonances on Metallic Gratings with Very Narrow Slits,” Phys. Rev. Lett. 83(14), 2845–2848 (1999).
[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, and H. J. Lezec, “Surface plasmons enhance optical transmission through subwavelength holes,” Phys. Rev. B 58(11), 6779–6782 (1998).
[CrossRef]

1969

E. N. Economou, “Surface Plasmons in Thin Films,” Phys. Rev. 182(2), 539–554 (1969).
[CrossRef]

1935

R. W. Wood, “Anomalous diffraction gratings,” Phys. Rev. 48(12), 928–936 (1935).
[CrossRef]

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]

Bao, Y.-J.

Y.-J. Bao, R.-W. Peng, D.-J. Shu, M. Wang, X. Lu, J. Shao, W. Lu, and N.-B. Ming, “Role of interference between localized and propagating surface waves on the extraordinary optical transmission through a subwavelength-aperture array,” Phys. Rev. Lett. 101(8), 087401–087404 (2008).
[CrossRef] [PubMed]

Barnard, E. S.

Berini, P.

P. Berini, R. Charbonneau, and N. Lahoud, “Long-range surface plasmons on ultrathin membranes,” Nano Lett. 7(5), 1376–1380 (2007).
[CrossRef] [PubMed]

Bezuglyi, E. V.

I. S. Spevak, A. Yu. Nikitin, E. V. Bezuglyi, A. Levchenko, and A. V. Kats, “Resonantly suppressed transmission and anomalously enhanced light absorption in periodically modulated ultrathin metal films,” Phys. Rev. B 79(16), 161406 (2009).
[CrossRef]

Bliokh, K. Y.

K. Y. Bliokh, Y. P. Bliokh, V. Freilikher, S. Savel’ev, and F. Nori, “Colloquium: Unusual resonators: plasmonics, metamaterials, and random media,” Rev. Mod. Phys. 80(4), 1201–1213 (2008).
[CrossRef]

Bliokh, Y. P.

K. Y. Bliokh, Y. P. Bliokh, V. Freilikher, S. Savel’ev, and F. Nori, “Colloquium: Unusual resonators: plasmonics, metamaterials, and random media,” Rev. Mod. Phys. 80(4), 1201–1213 (2008).
[CrossRef]

Bower, J. E.

Brolo, A. G.

R. Gordon, A. G. Brolo, A. McKinnon, A. Rajora, B. Leathem, and K. L. Kavanagh, “Strong polarization in the optical transmission through elliptical nanohole arrays,” Phys. Rev. Lett. 92(3), 037401–037404 (2004).
[CrossRef] [PubMed]

Brongersma, M. L.

Campillo, I.

Cao, Q.

Q. Cao and P. Lalanne, “Negative role of surface plasmons in the transmission of metallic gratings with very narrow slits,” Phys. Rev. Lett. 88(5), 057403–057406 (2002).
[CrossRef] [PubMed]

Carr, D. W.

Catrysse, P. B.

P. B. Catrysse and S. Fan, “Propagation plasmonic mode in nanoscale apertures and its implications for extraordinary transmission,” J. Nanophotonics 2(1), 021790 (2008).
[CrossRef]

P. B. Catrysse and S. Fan, “Near-complete transmission through subwavelength hole arrays in phonon-polaritonic thin films,” Phys. Rev. B 75(7), 075422 (2007).
[CrossRef]

Chan, H. B.

Chandran, A.

Chang, S.-H.

S.-H. Chang, S. Gray, and G. Schatz, “Surface plasmon generation and light transmission by isolated nanoholes and arrays of nanoholes in thin metal films,” Opt. Exp. 13(8), 3150–3165 (2005).
[CrossRef]

Charbonneau, R.

P. Berini, R. Charbonneau, and N. Lahoud, “Long-range surface plasmons on ultrathin membranes,” Nano Lett. 7(5), 1376–1380 (2007).
[CrossRef] [PubMed]

Chavel, P.

P. Lalanne, C. Sauvan, J. P. Hugonin, J. C. Rodier, and P. Chavel, “Perturbative approach for surface plasmon effects on flat interfaces periodically corrugated by subwavelength apertures,” Phys. Rev. Lett. 68, 125404–125407 (2003).

Chen, Z.

Z. Chen, I. R. Hooper, and J. R. Sambles, “Strongly coupled surface plasmons on thin shallow metallic gratings,” Phys. Rev. B 77(16), 161405 (2008).
[CrossRef]

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. Photonics 3(3), 152–156 (2009).
[CrossRef]

Cirelli, R. A.

Degiron, A.

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]

Dolado, J. S.

Ebbesen, T. W.

C. Genet and T. W. Ebbesen, “Light in tiny holes,” Nature 445(7123), 39–46 (2007).
[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]

L. Martín-Moreno, F. J. García-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(6), 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]

Economou, E. N.

E. N. Economou, “Surface Plasmons in Thin Films,” Phys. Rev. 182(2), 539–554 (1969).
[CrossRef]

Enoch, S.

K. J. K. Koerkamp, S. Enoch, F. B. Segerink, N. F. van Hulst, and L. Kuipers, “Strong influence of hole shape on extraordinary transmission through periodic arrays of subwavelength holes,” Phys. Rev. Lett. 92(18), 183901–183904 (2004).
[CrossRef] [PubMed]

E. Popov, M. Neviere, S. Enoch, and R. Reinisch, “Theory of light transmission through subwavelength periodic hole arrays,” Phys. Rev. B 62(23), 16100–16108 (2000).
[CrossRef]

Fan, S.

J. S. White, G. Veronis, Z. Yu, E. S. Barnard, A. Chandran, S. Fan, and M. L. Brongersma, “Extraordinary optical absorption through subwavelength slits,” Opt. Lett. 34(5), 686–688 (2009).
[CrossRef] [PubMed]

P. B. Catrysse and S. Fan, “Propagation plasmonic mode in nanoscale apertures and its implications for extraordinary transmission,” J. Nanophotonics 2(1), 021790 (2008).
[CrossRef]

P. B. Catrysse and S. Fan, “Near-complete transmission through subwavelength hole arrays in phonon-polaritonic thin films,” Phys. Rev. B 75(7), 075422 (2007).
[CrossRef]

Ferry, E.

Freilikher, V.

K. Y. Bliokh, Y. P. Bliokh, V. Freilikher, S. Savel’ev, and F. Nori, “Colloquium: Unusual resonators: plasmonics, metamaterials, and random media,” Rev. Mod. Phys. 80(4), 1201–1213 (2008).
[CrossRef]

Garcia de Abajo, F. J.

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(14), 2845–2848 (1999).
[CrossRef]

García-Vidal, F. J.

L. Martín-Moreno, F. J. García-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(6), 1114–1117 (2001).
[CrossRef] [PubMed]

Genet, C.

C. Genet and T. W. Ebbesen, “Light in tiny holes,” Nature 445(7123), 39–46 (2007).
[CrossRef] [PubMed]

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, and H. J. Lezec, “Surface plasmons enhance optical transmission through subwavelength holes,” Phys. Rev. B 58(11), 6779–6782 (1998).
[CrossRef]

Gordon, R.

R. Gordon, A. G. Brolo, A. McKinnon, A. Rajora, B. Leathem, and K. L. Kavanagh, “Strong polarization in the optical transmission through elliptical nanohole arrays,” Phys. Rev. Lett. 92(3), 037401–037404 (2004).
[CrossRef] [PubMed]

Gorkunov, M.

B. Sturman, E. Podivilov, and M. Gorkunov, “Theory of extraordinary light transmission through arrays of subwavelength slits,” Phys. Rev. B 77(7), 075106 (2008).
[CrossRef]

Gray, S.

S.-H. Chang, S. Gray, and G. Schatz, “Surface plasmon generation and light transmission by isolated nanoholes and arrays of nanoholes in thin metal films,” Opt. Exp. 13(8), 3150–3165 (2005).
[CrossRef]

Grupp, D. E.

H. F. Ghaemi, T. Thio, D. E. Grupp, and H. J. Lezec, “Surface plasmons enhance optical transmission through subwavelength holes,” Phys. Rev. B 58(11), 6779–6782 (1998).
[CrossRef]

Hooper, I. R.

Z. Chen, I. R. Hooper, and J. R. Sambles, “Strongly coupled surface plasmons on thin shallow metallic gratings,” Phys. Rev. B 77(16), 161405 (2008).
[CrossRef]

Huang, C.

C. Huang, Q. Wang, and Y. Zhu, “Dual effect of surface plasmons in light transmission through perforated metal films,” Phys. Rev. B 75(24), 245421 (2007).
[CrossRef]

Hugonin, J. P.

P. Lalanne, C. Sauvan, J. P. Hugonin, J. C. Rodier, and P. Chavel, “Perturbative approach for surface plasmon effects on flat interfaces periodically corrugated by subwavelength apertures,” Phys. Rev. Lett. 68, 125404–125407 (2003).

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]

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. Photonics 3(3), 152–156 (2009).
[CrossRef]

Kats, A. V.

I. S. Spevak, A. Yu. Nikitin, E. V. Bezuglyi, A. Levchenko, and A. V. Kats, “Resonantly suppressed transmission and anomalously enhanced light absorption in periodically modulated ultrathin metal films,” Phys. Rev. B 79(16), 161406 (2009).
[CrossRef]

A. V. Kats, M. L. Nesterov, and A. Yu. Nikitin, “Excitation of surface plasmon-polaritons in metal films with double periodic modulations: Anomalous optical effects,” Phys. Rev. B 76(4), 045413 (2007).
[CrossRef]

Kavanagh, K. L.

R. Gordon, A. G. Brolo, A. McKinnon, A. Rajora, B. Leathem, and K. L. Kavanagh, “Strong polarization in the optical transmission through elliptical nanohole arrays,” Phys. Rev. Lett. 92(3), 037401–037404 (2004).
[CrossRef] [PubMed]

Kim, D. 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. Photonics 3(3), 152–156 (2009).
[CrossRef]

Klemens, F.

Koerkamp, K. J. K.

K. J. K. Koerkamp, S. Enoch, F. B. Segerink, N. F. van Hulst, and L. Kuipers, “Strong influence of hole shape on extraordinary transmission through periodic arrays of subwavelength holes,” Phys. Rev. Lett. 92(18), 183901–183904 (2004).
[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. Photonics 3(3), 152–156 (2009).
[CrossRef]

Kuipers, L.

K. J. K. Koerkamp, S. Enoch, F. B. Segerink, N. F. van Hulst, and L. Kuipers, “Strong influence of hole shape on extraordinary transmission through periodic arrays of subwavelength holes,” Phys. Rev. Lett. 92(18), 183901–183904 (2004).
[CrossRef] [PubMed]

Lahoud, N.

P. Berini, R. Charbonneau, and N. Lahoud, “Long-range surface plasmons on ultrathin membranes,” Nano Lett. 7(5), 1376–1380 (2007).
[CrossRef] [PubMed]

Lalanne, P.

H. Liu and P. Lalanne, “Microscopic theory of the extraordinary optical transmission,” Nature 452(7188), 728–731 (2008).
[CrossRef] [PubMed]

P. Lalanne, C. Sauvan, J. P. Hugonin, J. C. Rodier, and P. Chavel, “Perturbative approach for surface plasmon effects on flat interfaces periodically corrugated by subwavelength apertures,” Phys. Rev. Lett. 68, 125404–125407 (2003).

Q. Cao and P. Lalanne, “Negative role of surface plasmons in the transmission of metallic gratings with very narrow slits,” Phys. Rev. Lett. 88(5), 057403–057406 (2002).
[CrossRef] [PubMed]

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]

Leathem, B.

R. Gordon, A. G. Brolo, A. McKinnon, A. Rajora, B. Leathem, and K. L. Kavanagh, “Strong polarization in the optical transmission through elliptical nanohole arrays,” Phys. Rev. Lett. 92(3), 037401–037404 (2004).
[CrossRef] [PubMed]

Lee, R. K.

Y. Xu, Y. Li, R. K. Lee, and A. Yariv, “Scattering-theory analysis of waveguide-resonator coupling,” Phys. Rev. E Stat. Phys. Plasmas Fluids Relat. Interdiscip. Topics 62(55 Pt B), 7389–7404 (2000).
[CrossRef] [PubMed]

Levchenko, A.

I. S. Spevak, A. Yu. Nikitin, E. V. Bezuglyi, A. Levchenko, and A. V. Kats, “Resonantly suppressed transmission and anomalously enhanced light absorption in periodically modulated ultrathin metal films,” Phys. Rev. B 79(16), 161406 (2009).
[CrossRef]

Lezec, H. J.

L. Martín-Moreno, F. J. García-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(6), 1114–1117 (2001).
[CrossRef] [PubMed]

H. F. Ghaemi, T. Thio, D. E. Grupp, and H. J. Lezec, “Surface plasmons enhance optical transmission through subwavelength holes,” Phys. Rev. B 58(11), 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]

Li, Y.

Y. Xu, Y. Li, R. K. Lee, and A. Yariv, “Scattering-theory analysis of waveguide-resonator coupling,” Phys. Rev. E Stat. Phys. Plasmas Fluids Relat. Interdiscip. Topics 62(55 Pt B), 7389–7404 (2000).
[CrossRef] [PubMed]

Liu, H.

H. Liu and P. Lalanne, “Microscopic theory of the extraordinary optical transmission,” Nature 452(7188), 728–731 (2008).
[CrossRef] [PubMed]

Lu, W.

Y.-J. Bao, R.-W. Peng, D.-J. Shu, M. Wang, X. Lu, J. Shao, W. Lu, and N.-B. Ming, “Role of interference between localized and propagating surface waves on the extraordinary optical transmission through a subwavelength-aperture array,” Phys. Rev. Lett. 101(8), 087401–087404 (2008).
[CrossRef] [PubMed]

Lu, X.

Y.-J. Bao, R.-W. Peng, D.-J. Shu, M. Wang, X. Lu, J. Shao, W. Lu, and N.-B. Ming, “Role of interference between localized and propagating surface waves on the extraordinary optical transmission through a subwavelength-aperture array,” Phys. Rev. Lett. 101(8), 087401–087404 (2008).
[CrossRef] [PubMed]

Mansuripur, M.

Marcet, Z.

Martín-Moreno, L.

L. Martín-Moreno, F. J. García-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(6), 1114–1117 (2001).
[CrossRef] [PubMed]

McKinnon, A.

R. Gordon, A. G. Brolo, A. McKinnon, A. Rajora, B. Leathem, and K. L. Kavanagh, “Strong polarization in the optical transmission through elliptical nanohole arrays,” Phys. Rev. Lett. 92(3), 037401–037404 (2004).
[CrossRef] [PubMed]

Miner, J.

Ming, N.-B.

Y.-J. Bao, R.-W. Peng, D.-J. Shu, M. Wang, X. Lu, J. Shao, W. Lu, and N.-B. Ming, “Role of interference between localized and propagating surface waves on the extraordinary optical transmission through a subwavelength-aperture array,” Phys. Rev. Lett. 101(8), 087401–087404 (2008).
[CrossRef] [PubMed]

Moller, K. D.

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]

Moloney, J. V.

Nesterov, M. L.

A. V. Kats, M. L. Nesterov, and A. Yu. Nikitin, “Excitation of surface plasmon-polaritons in metal films with double periodic modulations: Anomalous optical effects,” Phys. Rev. B 76(4), 045413 (2007).
[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(23), 16100–16108 (2000).
[CrossRef]

Nikitin, A. Yu.

I. S. Spevak, A. Yu. Nikitin, E. V. Bezuglyi, A. Levchenko, and A. V. Kats, “Resonantly suppressed transmission and anomalously enhanced light absorption in periodically modulated ultrathin metal films,” Phys. Rev. B 79(16), 161406 (2009).
[CrossRef]

A. V. Kats, M. L. Nesterov, and A. Yu. Nikitin, “Excitation of surface plasmon-polaritons in metal films with double periodic modulations: Anomalous optical effects,” Phys. Rev. B 76(4), 045413 (2007).
[CrossRef]

Nori, F.

K. Y. Bliokh, Y. P. Bliokh, V. Freilikher, S. Savel’ev, and F. Nori, “Colloquium: Unusual resonators: plasmonics, metamaterials, and random media,” Rev. Mod. Phys. 80(4), 1201–1213 (2008).
[CrossRef]

Pai, C. S.

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).
[CrossRef]

Park, D. J.

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. Photonics 3(3), 152–156 (2009).
[CrossRef]

Park, G. 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. Photonics 3(3), 152–156 (2009).
[CrossRef]

Park, H. R.

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. Photonics 3(3), 152–156 (2009).
[CrossRef]

Park, N. K.

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. Photonics 3(3), 152–156 (2009).
[CrossRef]

Park, Q. 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. Photonics 3(3), 152–156 (2009).
[CrossRef]

Pellerin, K. M.

L. Martín-Moreno, F. J. García-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(6), 1114–1117 (2001).
[CrossRef] [PubMed]

Pendry, J. B.

L. Martín-Moreno, F. J. García-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(6), 1114–1117 (2001).
[CrossRef] [PubMed]

J. A. Porto, F. J. Garcia-Vidal, and J. B. Pendry, “Transmission Resonances on Metallic Gratings with Very Narrow Slits,” Phys. Rev. Lett. 83(14), 2845–2848 (1999).
[CrossRef]

Peng, R.-W.

Y.-J. Bao, R.-W. Peng, D.-J. Shu, M. Wang, X. Lu, J. Shao, W. Lu, and N.-B. Ming, “Role of interference between localized and propagating surface waves on the extraordinary optical transmission through a subwavelength-aperture array,” Phys. Rev. Lett. 101(8), 087401–087404 (2008).
[CrossRef] [PubMed]

Planken, P. C. 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. Photonics 3(3), 152–156 (2009).
[CrossRef]

Podivilov, E.

B. Sturman, E. Podivilov, and M. Gorkunov, “Theory of extraordinary light transmission through arrays of subwavelength slits,” Phys. Rev. B 77(7), 075106 (2008).
[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(23), 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(14), 2845–2848 (1999).
[CrossRef]

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(23), 233901–233904 (2006).
[CrossRef] [PubMed]

Rajora, A.

R. Gordon, A. G. Brolo, A. McKinnon, A. Rajora, B. Leathem, and K. L. Kavanagh, “Strong polarization in the optical transmission through elliptical nanohole arrays,” Phys. Rev. Lett. 92(3), 037401–037404 (2004).
[CrossRef] [PubMed]

Reinisch, R.

E. Popov, M. Neviere, S. Enoch, and R. Reinisch, “Theory of light transmission through subwavelength periodic hole arrays,” Phys. Rev. B 62(23), 16100–16108 (2000).
[CrossRef]

Rodier, J. C.

P. Lalanne, C. Sauvan, J. P. Hugonin, J. C. Rodier, and P. Chavel, “Perturbative approach for surface plasmon effects on flat interfaces periodically corrugated by subwavelength apertures,” Phys. Rev. Lett. 68, 125404–125407 (2003).

Ruan, Z. C.

Z. C. Ruan and M. Qiu, “Enhanced transmission through periodic arrays of subwavelength holes: the role of localized waveguide resonances,” Phys. Rev. Lett. 96(23), 233901–233904 (2006).
[CrossRef] [PubMed]

Saenz, J. J.

Sambles, J. R.

Z. Chen, I. R. Hooper, and J. R. Sambles, “Strongly coupled surface plasmons on thin shallow metallic gratings,” Phys. Rev. B 77(16), 161405 (2008).
[CrossRef]

Sarrazin, M.

M. Sarrazin, J.-P. Vigneron, and J.-M. Vigoureux, “Role of Wood anomalies in optical properties of thin metallic films with a bidimensional array of subwavelength holes,” Phys. Rev. B 67(8), 085415 (2003).
[CrossRef]

Sauvan, C.

P. Lalanne, C. Sauvan, J. P. Hugonin, J. C. Rodier, and P. Chavel, “Perturbative approach for surface plasmon effects on flat interfaces periodically corrugated by subwavelength apertures,” Phys. Rev. Lett. 68, 125404–125407 (2003).

Savel’ev, S.

K. Y. Bliokh, Y. P. Bliokh, V. Freilikher, S. Savel’ev, and F. Nori, “Colloquium: Unusual resonators: plasmonics, metamaterials, and random media,” Rev. Mod. Phys. 80(4), 1201–1213 (2008).
[CrossRef]

Schatz, G.

S.-H. Chang, S. Gray, and G. Schatz, “Surface plasmon generation and light transmission by isolated nanoholes and arrays of nanoholes in thin metal films,” Opt. Exp. 13(8), 3150–3165 (2005).
[CrossRef]

Segerink, F. B.

K. J. K. Koerkamp, S. Enoch, F. B. Segerink, N. F. van Hulst, and L. Kuipers, “Strong influence of hole shape on extraordinary transmission through periodic arrays of subwavelength holes,” Phys. Rev. Lett. 92(18), 183901–183904 (2004).
[CrossRef] [PubMed]

Seo, M. A.

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. Photonics 3(3), 152–156 (2009).
[CrossRef]

Shao, J.

Y.-J. Bao, R.-W. Peng, D.-J. Shu, M. Wang, X. Lu, J. Shao, W. Lu, and N.-B. Ming, “Role of interference between localized and propagating surface waves on the extraordinary optical transmission through a subwavelength-aperture array,” Phys. Rev. Lett. 101(8), 087401–087404 (2008).
[CrossRef] [PubMed]

Shu, D.-J.

Y.-J. Bao, R.-W. Peng, D.-J. Shu, M. Wang, X. Lu, J. Shao, W. Lu, and N.-B. Ming, “Role of interference between localized and propagating surface waves on the extraordinary optical transmission through a subwavelength-aperture array,” Phys. Rev. Lett. 101(8), 087401–087404 (2008).
[CrossRef] [PubMed]

Spevak, I. S.

I. S. Spevak, A. Yu. Nikitin, E. V. Bezuglyi, A. Levchenko, and A. V. Kats, “Resonantly suppressed transmission and anomalously enhanced light absorption in periodically modulated ultrathin metal films,” Phys. Rev. B 79(16), 161406 (2009).
[CrossRef]

Sturman, B.

B. Sturman, E. Podivilov, and M. Gorkunov, “Theory of extraordinary light transmission through arrays of subwavelength slits,” Phys. Rev. B 77(7), 075106 (2008).
[CrossRef]

Suwal, O. K.

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. Photonics 3(3), 152–156 (2009).
[CrossRef]

Takakura, Y.

Y. Takakura, “Optical resonance in a narrow slit in a thick metallic screen,” Phys. Rev. Lett. 86(24), 5601–5603 (2001).
[CrossRef] [PubMed]

Tanner, D. B.

Taylor, J. A.

Thio, T.

L. Martín-Moreno, F. J. García-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(6), 1114–1117 (2001).
[CrossRef] [PubMed]

H. F. Ghaemi, T. Thio, D. E. Grupp, and H. J. Lezec, “Surface plasmons enhance optical transmission through subwavelength holes,” Phys. Rev. B 58(11), 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 Hulst, N. F.

K. J. K. Koerkamp, S. Enoch, F. B. Segerink, N. F. van Hulst, and L. Kuipers, “Strong influence of hole shape on extraordinary transmission through periodic arrays of subwavelength holes,” Phys. Rev. Lett. 92(18), 183901–183904 (2004).
[CrossRef] [PubMed]

Veronis, G.

Vigneron, J.-P.

M. Sarrazin, J.-P. Vigneron, and J.-M. Vigoureux, “Role of Wood anomalies in optical properties of thin metallic films with a bidimensional array of subwavelength holes,” Phys. Rev. B 67(8), 085415 (2003).
[CrossRef]

Vigoureux, J.-M.

M. Sarrazin, J.-P. Vigneron, and J.-M. Vigoureux, “Role of Wood anomalies in optical properties of thin metallic films with a bidimensional array of subwavelength holes,” Phys. Rev. B 67(8), 085415 (2003).
[CrossRef]

Wang, M.

Y.-J. Bao, R.-W. Peng, D.-J. Shu, M. Wang, X. Lu, J. Shao, W. Lu, and N.-B. Ming, “Role of interference between localized and propagating surface waves on the extraordinary optical transmission through a subwavelength-aperture array,” Phys. Rev. Lett. 101(8), 087401–087404 (2008).
[CrossRef] [PubMed]

Wang, Q.

C. Huang, Q. Wang, and Y. Zhu, “Dual effect of surface plasmons in light transmission through perforated metal films,” Phys. Rev. B 75(24), 245421 (2007).
[CrossRef]

White, J. S.

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.

Wood, R. W.

R. W. Wood, “Anomalous diffraction gratings,” Phys. Rev. 48(12), 928–936 (1935).
[CrossRef]

Xie, Y.

Xu, Y.

Y. Xu, Y. Li, R. K. Lee, and A. Yariv, “Scattering-theory analysis of waveguide-resonator coupling,” Phys. Rev. E Stat. Phys. Plasmas Fluids Relat. Interdiscip. Topics 62(55 Pt B), 7389–7404 (2000).
[CrossRef] [PubMed]

Yariv, A.

Y. Xu, Y. Li, R. K. Lee, and A. Yariv, “Scattering-theory analysis of waveguide-resonator coupling,” Phys. Rev. E Stat. Phys. Plasmas Fluids Relat. Interdiscip. Topics 62(55 Pt B), 7389–7404 (2000).
[CrossRef] [PubMed]

Yu, Z.

Zakharian, A. R.

Zhu, Y.

C. Huang, Q. Wang, and Y. Zhu, “Dual effect of surface plasmons in light transmission through perforated metal films,” Phys. Rev. B 75(24), 245421 (2007).
[CrossRef]

J. Nanophotonics

P. B. Catrysse and S. Fan, “Propagation plasmonic mode in nanoscale apertures and its implications for extraordinary transmission,” J. Nanophotonics 2(1), 021790 (2008).
[CrossRef]

J. Opt. A, Pure Appl. Opt.

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]

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]

Nano Lett.

P. Berini, R. Charbonneau, and N. Lahoud, “Long-range surface plasmons on ultrathin membranes,” Nano Lett. 7(5), 1376–1380 (2007).
[CrossRef] [PubMed]

Nat. Photonics

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. Photonics 3(3), 152–156 (2009).
[CrossRef]

Nature

H. Liu and P. Lalanne, “Microscopic theory of the extraordinary optical transmission,” Nature 452(7188), 728–731 (2008).
[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]

C. Genet and T. W. Ebbesen, “Light in tiny holes,” Nature 445(7123), 39–46 (2007).
[CrossRef] [PubMed]

Opt. Exp.

S.-H. Chang, S. Gray, and G. Schatz, “Surface plasmon generation and light transmission by isolated nanoholes and arrays of nanoholes in thin metal films,” Opt. Exp. 13(8), 3150–3165 (2005).
[CrossRef]

Opt. Express

Opt. Lett.

Phys. Rev.

R. W. Wood, “Anomalous diffraction gratings,” Phys. Rev. 48(12), 928–936 (1935).
[CrossRef]

E. N. Economou, “Surface Plasmons in Thin Films,” Phys. Rev. 182(2), 539–554 (1969).
[CrossRef]

Phys. Rev. B

Z. Chen, I. R. Hooper, and J. R. Sambles, “Strongly coupled surface plasmons on thin shallow metallic gratings,” Phys. Rev. B 77(16), 161405 (2008).
[CrossRef]

I. S. Spevak, A. Yu. Nikitin, E. V. Bezuglyi, A. Levchenko, and A. V. Kats, “Resonantly suppressed transmission and anomalously enhanced light absorption in periodically modulated ultrathin metal films,” Phys. Rev. B 79(16), 161406 (2009).
[CrossRef]

C. Huang, Q. Wang, and Y. Zhu, “Dual effect of surface plasmons in light transmission through perforated metal films,” Phys. Rev. B 75(24), 245421 (2007).
[CrossRef]

P. B. Catrysse and S. Fan, “Near-complete transmission through subwavelength hole arrays in phonon-polaritonic thin films,” Phys. Rev. B 75(7), 075422 (2007).
[CrossRef]

M. Sarrazin, J.-P. Vigneron, and J.-M. Vigoureux, “Role of Wood anomalies in optical properties of thin metallic films with a bidimensional array of subwavelength holes,” Phys. Rev. B 67(8), 085415 (2003).
[CrossRef]

B. Sturman, E. Podivilov, and M. Gorkunov, “Theory of extraordinary light transmission through arrays of subwavelength slits,” Phys. Rev. B 77(7), 075106 (2008).
[CrossRef]

A. V. Kats, M. L. Nesterov, and A. Yu. Nikitin, “Excitation of surface plasmon-polaritons in metal films with double periodic modulations: Anomalous optical effects,” Phys. Rev. B 76(4), 045413 (2007).
[CrossRef]

H. F. Ghaemi, T. Thio, D. E. Grupp, and H. J. Lezec, “Surface plasmons enhance optical transmission through subwavelength holes,” Phys. Rev. B 58(11), 6779–6782 (1998).
[CrossRef]

E. Popov, M. Neviere, S. Enoch, and R. Reinisch, “Theory of light transmission through subwavelength periodic hole arrays,” Phys. Rev. B 62(23), 16100–16108 (2000).
[CrossRef]

Phys. Rev. E Stat. Phys. Plasmas Fluids Relat. Interdiscip. Topics

Y. Xu, Y. Li, R. K. Lee, and A. Yariv, “Scattering-theory analysis of waveguide-resonator coupling,” Phys. Rev. E Stat. Phys. Plasmas Fluids Relat. Interdiscip. Topics 62(55 Pt B), 7389–7404 (2000).
[CrossRef] [PubMed]

Phys. Rev. Lett.

L. Martín-Moreno, F. J. García-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(6), 1114–1117 (2001).
[CrossRef] [PubMed]

J. A. Porto, F. J. Garcia-Vidal, and J. B. Pendry, “Transmission Resonances on Metallic Gratings with Very Narrow Slits,” Phys. Rev. Lett. 83(14), 2845–2848 (1999).
[CrossRef]

K. J. K. Koerkamp, S. Enoch, F. B. Segerink, N. F. van Hulst, and L. Kuipers, “Strong influence of hole shape on extraordinary transmission through periodic arrays of subwavelength holes,” Phys. Rev. Lett. 92(18), 183901–183904 (2004).
[CrossRef] [PubMed]

R. Gordon, A. G. Brolo, A. McKinnon, A. Rajora, B. Leathem, and K. L. Kavanagh, “Strong polarization in the optical transmission through elliptical nanohole arrays,” Phys. Rev. Lett. 92(3), 037401–037404 (2004).
[CrossRef] [PubMed]

Y. Takakura, “Optical resonance in a narrow slit in a thick metallic screen,” Phys. Rev. Lett. 86(24), 5601–5603 (2001).
[CrossRef] [PubMed]

Q. Cao and P. Lalanne, “Negative role of surface plasmons in the transmission of metallic gratings with very narrow slits,” Phys. Rev. Lett. 88(5), 057403–057406 (2002).
[CrossRef] [PubMed]

P. Lalanne, C. Sauvan, J. P. Hugonin, J. C. Rodier, and P. Chavel, “Perturbative approach for surface plasmon effects on flat interfaces periodically corrugated by subwavelength apertures,” Phys. Rev. Lett. 68, 125404–125407 (2003).

Y.-J. Bao, R.-W. Peng, D.-J. Shu, M. Wang, X. Lu, J. Shao, W. Lu, and N.-B. Ming, “Role of interference between localized and propagating surface waves on the extraordinary optical transmission through a subwavelength-aperture array,” Phys. Rev. Lett. 101(8), 087401–087404 (2008).
[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(23), 233901–233904 (2006).
[CrossRef] [PubMed]

Rev. Mod. Phys.

K. Y. Bliokh, Y. P. Bliokh, V. Freilikher, S. Savel’ev, and F. Nori, “Colloquium: Unusual resonators: plasmonics, metamaterials, and random media,” Rev. Mod. Phys. 80(4), 1201–1213 (2008).
[CrossRef]

Other

E. D. Palik, Handbook of Optical Constants of Solids (New York: Academic, 1985).

S. G. Johnson, and J. D. Joannopoulos, FDTD software: http://ab-initio.mit.edu/meep .

A. Taflove, and S. C. Hagness, Computational Electrodynamics: The Finite-Difference Time-Domain Method, Second Edition (Artech, Norwood, Mass. 2000)

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

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (7)

Fig. 1
Fig. 1

dispersion relations for surface plasmon-polariton on a metal film with the different thicknesses in air environment, in which the inset is the schematic diagram of the metal film and the solid line (black) is the light line in air.

Fig. 2
Fig. 2

Left: Schematic view of the metal film with periodic air slits. The parameters are defined as in the figure: d is the periodicity, a is the slit width, and L is the thickness of metal film. Right: the figure depicts the simulate domain for 2-D FDTD simulation with the PML boundary conditions in z direction and the periodic boundary conditions in x direction.

Fig. 3
Fig. 3

(a): dispersion relations (pink) for surface plasmonic modes on a metal film with the thickness of L=0.5λp in air environment in which the inset is the schematic diagram of the metal film and calculated normalized transmission and reflection spectrums of metal grating for period d1=2.5λp . The longitudinal lines represent the wave vector position at which the matching grating conditions are fulfilled for period d1=2.5λp . The horizontal blue lines represent the frequency positions to shape EOT peak predicted by the matching grating conditions. (b): dispersion relation for surface plasmonic modes supported on a metal film with the thickness of L=0.5λp in air environment and calculated normalized transmission of metal grating for period d1=1.0λp . The width of air slits for both gratings is 0.1λp. The solid line (black) is the light line in air.

Fig. 4
Fig. 4

Hy-field distributions for period d1=2.5λp corresponding to the high transmission locations listed in Fig. 3 (a). The color scale goes from blue (negative) to white (zero) to red (positive).

Fig. 5
Fig. 5

Transmission at normal incidence through the metal film grating with a thin perfect electric conductor (PEC) coating on both sides of the vertical walls in slits (blue) and with a thin perfect electric conductor (PEC) coating on the bottom and top of the metal film (orange) respectively. Meanwhile, we also show the transmission of normal metal film grating (red). The insets show the geometry with the thickness of metal film of 0.5λp , the period of 1.0λp and the air slits of 0.1λp and the Hy-field distributions in air slit corresponding to the localized plasmonic modes. The carmine arrow is the location of wood anomaly.

Fig. 6
Fig. 6

Transmission (blue), reflection (cyan) and Absorption (red) spectrums for the metal grating with different thicknesses of metal film (a): L=0.2λp; (b): L=0.35λp; (c): L=0.4λp; (d): L=0.5λp, where other parameters are same with the structure in Fig. 3 (a).

Fig. 7
Fig. 7

Schematic of double-layer metal grating containing two identical single-layer metal grating (b) for the separating space filled with vacuum; (b) for the separating space filled with SiO2 (n=1.5); (c) the dependence of absorption spectrums on the separating distance G for the double-layer metal grating filled with vacuum (left) and SiO2 (right) in separating space; (d): Hy-field distributions corresponding to the locations listed in Fig. 7(c). The color scale goes from blue (negative) to white (zero) to red (positive).

Equations (3)

Equations on this page are rendered with MathJax. Learn more.

εm(ω)=1ωp2ω(ω+iωτ)
[β2(ωc)2εm]1/2+εm[β2(ωc)2]1/2[β2(ωc)2εm]1/2εm[β2(ωc)2]1/2=±exp(L[β2(ωc)2εm]1/2)
|β|=|kx+Gn|=|ksinθ+nGx|

Metrics