Abstract

In this paper we investigate the optical response of periodically structured metallic films constituted of sub-wavelength apertures. Our approach consists in studying the diffraction of transverse magnetic polarized electromagnetic waves by a one-dimensional grating. The method that we use is the Rigorous Coupled Waves Analysis allowing us to obtain an analytical model to calculate the diffraction efficiencies. The zero and first order terms allow determining the transmission, reflectivity and absorption of symmetric or asymmetric nanostructures surrounded either by identical or different dielectric media. For both type of nanostructures the spectral shape of the enhanced resonant transmission associated to surface plasmons displays a Fano profile. In the case of symmetric nanostructures, we study the conditions of formation of coupled surface plasmon-polaritons as well as their effect on the optical response of the modulated structure. For asymmetric nanostructures, we discuss the non-reciprocity of the reflectivity and we investigate the spectral dependency of the enhanced resonant transmission on the refractive index of the dielectric surrounding the metal film.

© 2005 Optical Society of America

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  1. T. W. Ebbesen , H. J. Lezec , H. F. Ghaemi , T. Thio , and P. A. Wolf , “ Extraordinary optical transmission through sub-wavelength hole arrays ,” Nature (London)   391 , 667 – 669 ( 1998 ).
    [Crossref]
  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   58 , 6779 – 6782 ( 1998 ).
    [Crossref]
  3. J. Gomez Rivas , C. Schotsch , P. Haring Bolivar , and H. Kurz , “ Enhanced transmission of THz radiation through subwavelength hole ,” Phys. Rev. B   68 , 201306 ( 2003 ).
    [Crossref]
  4. A. P. Hibbins , J. R. Sambles , and C. R. Lawrence , “ Gratingless enhanced microwave transmission through a subwavelength aperture in a thick metal plate ,” Appl. Phys. Lett   84 , 4661 – 4663 ( 2002 ).
    [Crossref]
  5. M. M. J. Treacy , “ Dynamical diffraction in metallic optical gratings ,” Appl. Phys. Lett   75 , 606 – 608 ( 1999 ).
    [Crossref]
  6. M. M. J. Treacy , “ Dynamical diffraction explanation of the anomalous transmission of light through metallic gratings ,” Phys. Rev. B   66 , 195105 ( 2002 ).
    [Crossref]
  7. 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 , 085415 ( 2003 ).
    [Crossref]
  8. Q. Cao and P. Lalanne , “ Negative role of surface plasmons in the transmission of metallic gratings with very narrow slits ,” Phys. Rev. Lett.   88 , 057403 ( 2002 ).
    [Crossref] [PubMed]
  9. K. J. Klein 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 , 183901 ( 2004 ).
    [Crossref]
  10. 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 , S90 – S95 ( 2005 ).
    [Crossref]
  11. U. Schröter and D. Heitmann , “ Grating couplers for surface plasmons excited on thin metal films in the Kretschmann-Raether configuration ,” Phys. Rev. B   60 , 4992 – 4999 ( 1999 ).
    [Crossref]
  12. P. T. Worthing and W. L. Barnes , “ Efficient coupling of surface plasmon polaritons to radiation using a bigrating ,” Appl. Phys. Lett.   79 , 3035 – 3037 ( 2001 ).
    [Crossref]
  13. N. Bonod , S. Enoch , L. Li , E. Popov , and M. Nevière , “ Resonant opical transmission through thin metallic films with and without holes ,” Opt. Express   11 , 482 – 490 ( 2003 ).
    [Crossref] [PubMed]
  14. D. Gérard , L. Salomon , F. de Fornel , and A. V. Zayats , “ Ridge-enhanced optical transmission through a continuous metal film ,” Phys. Rev. B   69 , 113405 ( 2004 ).
    [Crossref]
  15. A. M. Dykhne , A. K. Sarychev , and V. M. Shalaev , “ Resonant transmittance through metal films with fabricated and light-induced modulation ,” Phys. Rev. B   67 , 195402 ( 2003 ).
    [Crossref]
  16. S. A. Damanyan and A. V. Zayats , “ Light tunneling via resonant surface plasmon polariton states and the enhanced transmission of periodically nanostructured metal films: an analytical study ,” Phys. Rev. B   67 , 035424 ( 2003 ); S. A. Damanyan , M. Nevière , and A. V. Zayats , “ Analytical theory of optical transmission through periodically structured metal films via tunnel-coupled surface polariton modes ,” Phys. Rev. B   70 , 075103 ( 2004 ).
    [Crossref]
  17. 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]
  18. L. Martin-Moreno and F. J. Garcia-Vidal , “ Optical transmission through circular hole arrays in optically thick metal films ,” Opt. Express   12 , 3619 – 3628 ( 2004 ), http://www.opticsexpress.org/abstract.cfm?URI=OPEX-12-16-3619 .
    [Crossref]
  19. E. Popov , M. Nevière , S. Enoch , and R. Reinisch , “ Theory of light transmission through subwavelength periodic hole arrays ,” Phys. Rev. B   62 , 16100 – 16108 ( 2000 ).
    [Crossref]
  20. L. Salomon , F. Grillot , A. V. Zayats , and F. de Fornel , “ Near-field distribution of optical transmission of periodic subwavelength holes in a metal film ,” Phys. Rev. Lett.   86 , 1110 – 1113 ( 2001 ).
    [Crossref] [PubMed]
  21. M. G. Moharam , E. B. Grann , D. A. Pommet , and T. K. Gayrold , “ Formulation for stable and efficient implementation of the rigorous coupled-wave analysis of binary gratings ,” J. Opt. Soc. Am. A   12 , 1068 – 1076 ( 1995 ).
    [Crossref]
  22. P. Lalanne and G. M. Morris , “ Highly improved convergence of the coupled-wave method for TM polarization ,” J. Opt. Soc. Am. A   13 , 779 – 784 (1996).
  23. C. Genet , M. P. van Exter , and J. P. Woerdman , “ Fano-type interpretation of red-shifts and red tails in hole array transmission spectra ”, Opt. Commun   225 , 331 – 336 ( 2003 ).
    [Crossref]
  24. E. Altewischer , M. P. van Exter , and J. P. Woerdman , “ Nonreciprocal reflection of a subwavelength hole array ,” Opt. Lett.   28 , 1906 – 1908 ( 2003 ).
    [Crossref] [PubMed]
  25. L. Li , “ Use of Fourier series in the analysis of discontinuous periodic structures ,” J. Opt. Soc. Am. A   13 , 1870 – 1876 ( 1996 ).
    [Crossref]
  26. D. W. Lynch and W. R. Hunter , in Handbook of optical constants of solids , E. D. Palik , ed. ( Academic press, New York , 1991 ).
  27. W. L. Barnes , W. A. Murray , J. Dintinger , E. Devaux , and T. W. Ebbesen , “ Surface plasmon polaritons and their role in the enhanced transmission of light through periodic arrays of subwavelength holes in a metal film ,” Phys. Rev. Lett.   92 , 107401 ( 2004 ).
    [Crossref] [PubMed]
  28. I. R. Hooper and J. R. Sambles , “ Coupled surface plasmon polaritons on thin metal slabs corrugated on both surfaces ,” Phys. Rev. B   70 , 045421 ( 2004 ).
    [Crossref]
  29. D. Gérard , L. Salomon , F. de Fornel , and A. V. Zayats , “ Analysis of the Bloch mode spectra of surface polaritonic crystals in the weak and strong coupling regimes: grating-enhanced transmission at oblique incidence and suppression of SPP radiative losses ,” Opt. Express   12 , 3652 – 3663 ( 2004 ), http://www.opticsexpress.org/abstract.cfm?URI=OPEX-12-16-3652 .
    [Crossref] [PubMed]
  30. A. Krishnan , T. Thio , T. J. Kim , H. J. Lezec , T. W. Ebbesen , P. A. Wolff , J. Pendry , L. Martin-Moreno , and Garcia-Vidal , “ Evanescently coupled resonance in surface plasmon enhanced transmission ,” Opt. Commun   200 , 1 – 7 ( 2001 ).
    [Crossref]

2005 (1)

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 , S90 – S95 ( 2005 ).
[Crossref]

2004 (6)

D. Gérard , L. Salomon , F. de Fornel , and A. V. Zayats , “ Ridge-enhanced optical transmission through a continuous metal film ,” Phys. Rev. B   69 , 113405 ( 2004 ).
[Crossref]

K. J. Klein 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 , 183901 ( 2004 ).
[Crossref]

L. Martin-Moreno and F. J. Garcia-Vidal , “ Optical transmission through circular hole arrays in optically thick metal films ,” Opt. Express   12 , 3619 – 3628 ( 2004 ), http://www.opticsexpress.org/abstract.cfm?URI=OPEX-12-16-3619 .
[Crossref]

W. L. Barnes , W. A. Murray , J. Dintinger , E. Devaux , and T. W. Ebbesen , “ Surface plasmon polaritons and their role in the enhanced transmission of light through periodic arrays of subwavelength holes in a metal film ,” Phys. Rev. Lett.   92 , 107401 ( 2004 ).
[Crossref] [PubMed]

I. R. Hooper and J. R. Sambles , “ Coupled surface plasmon polaritons on thin metal slabs corrugated on both surfaces ,” Phys. Rev. B   70 , 045421 ( 2004 ).
[Crossref]

D. Gérard , L. Salomon , F. de Fornel , and A. V. Zayats , “ Analysis of the Bloch mode spectra of surface polaritonic crystals in the weak and strong coupling regimes: grating-enhanced transmission at oblique incidence and suppression of SPP radiative losses ,” Opt. Express   12 , 3652 – 3663 ( 2004 ), http://www.opticsexpress.org/abstract.cfm?URI=OPEX-12-16-3652 .
[Crossref] [PubMed]

2003 (7)

C. Genet , M. P. van Exter , and J. P. Woerdman , “ Fano-type interpretation of red-shifts and red tails in hole array transmission spectra ”, Opt. Commun   225 , 331 – 336 ( 2003 ).
[Crossref]

E. Altewischer , M. P. van Exter , and J. P. Woerdman , “ Nonreciprocal reflection of a subwavelength hole array ,” Opt. Lett.   28 , 1906 – 1908 ( 2003 ).
[Crossref] [PubMed]

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 , 085415 ( 2003 ).
[Crossref]

J. Gomez Rivas , C. Schotsch , P. Haring Bolivar , and H. Kurz , “ Enhanced transmission of THz radiation through subwavelength hole ,” Phys. Rev. B   68 , 201306 ( 2003 ).
[Crossref]

A. M. Dykhne , A. K. Sarychev , and V. M. Shalaev , “ Resonant transmittance through metal films with fabricated and light-induced modulation ,” Phys. Rev. B   67 , 195402 ( 2003 ).
[Crossref]

S. A. Damanyan and A. V. Zayats , “ Light tunneling via resonant surface plasmon polariton states and the enhanced transmission of periodically nanostructured metal films: an analytical study ,” Phys. Rev. B   67 , 035424 ( 2003 ); S. A. Damanyan , M. Nevière , and A. V. Zayats , “ Analytical theory of optical transmission through periodically structured metal films via tunnel-coupled surface polariton modes ,” Phys. Rev. B   70 , 075103 ( 2004 ).
[Crossref]

S. A. Damanyan and A. V. Zayats , “ Light tunneling via resonant surface plasmon polariton states and the enhanced transmission of periodically nanostructured metal films: an analytical study ,” Phys. Rev. B   67 , 035424 ( 2003 ); S. A. Damanyan , M. Nevière , and A. V. Zayats , “ Analytical theory of optical transmission through periodically structured metal films via tunnel-coupled surface polariton modes ,” Phys. Rev. B   70 , 075103 ( 2004 ).
[Crossref]

N. Bonod , S. Enoch , L. Li , E. Popov , and M. Nevière , “ Resonant opical transmission through thin metallic films with and without holes ,” Opt. Express   11 , 482 – 490 ( 2003 ).
[Crossref] [PubMed]

2002 (3)

A. P. Hibbins , J. R. Sambles , and C. R. Lawrence , “ Gratingless enhanced microwave transmission through a subwavelength aperture in a thick metal plate ,” Appl. Phys. Lett   84 , 4661 – 4663 ( 2002 ).
[Crossref]

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

M. M. J. Treacy , “ Dynamical diffraction explanation of the anomalous transmission of light through metallic gratings ,” Phys. Rev. B   66 , 195105 ( 2002 ).
[Crossref]

2001 (4)

P. T. Worthing and W. L. Barnes , “ Efficient coupling of surface plasmon polaritons to radiation using a bigrating ,” Appl. Phys. Lett.   79 , 3035 – 3037 ( 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]

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

L. Salomon , F. Grillot , A. V. Zayats , and F. de Fornel , “ Near-field distribution of optical transmission of periodic subwavelength holes in a metal film ,” Phys. Rev. Lett.   86 , 1110 – 1113 ( 2001 ).
[Crossref] [PubMed]

2000 (1)

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

1999 (2)

U. Schröter and D. Heitmann , “ Grating couplers for surface plasmons excited on thin metal films in the Kretschmann-Raether configuration ,” Phys. Rev. B   60 , 4992 – 4999 ( 1999 ).
[Crossref]

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

1998 (2)

T. W. Ebbesen , H. J. Lezec , H. F. Ghaemi , T. Thio , and P. A. Wolf , “ Extraordinary optical transmission through sub-wavelength hole arrays ,” Nature (London)   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]

1996 (1)

1995 (1)

Altewischer, E.

Barnes, W. L.

W. L. Barnes , W. A. Murray , J. Dintinger , E. Devaux , and T. W. Ebbesen , “ Surface plasmon polaritons and their role in the enhanced transmission of light through periodic arrays of subwavelength holes in a metal film ,” Phys. Rev. Lett.   92 , 107401 ( 2004 ).
[Crossref] [PubMed]

P. T. Worthing and W. L. Barnes , “ Efficient coupling of surface plasmon polaritons to radiation using a bigrating ,” Appl. Phys. Lett.   79 , 3035 – 3037 ( 2001 ).
[Crossref]

Bonod, N.

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 , 057403 ( 2002 ).
[Crossref] [PubMed]

Damanyan, S. A.

S. A. Damanyan and A. V. Zayats , “ Light tunneling via resonant surface plasmon polariton states and the enhanced transmission of periodically nanostructured metal films: an analytical study ,” Phys. Rev. B   67 , 035424 ( 2003 ); S. A. Damanyan , M. Nevière , and A. V. Zayats , “ Analytical theory of optical transmission through periodically structured metal films via tunnel-coupled surface polariton modes ,” Phys. Rev. B   70 , 075103 ( 2004 ).
[Crossref]

S. A. Damanyan and A. V. Zayats , “ Light tunneling via resonant surface plasmon polariton states and the enhanced transmission of periodically nanostructured metal films: an analytical study ,” Phys. Rev. B   67 , 035424 ( 2003 ); S. A. Damanyan , M. Nevière , and A. V. Zayats , “ Analytical theory of optical transmission through periodically structured metal films via tunnel-coupled surface polariton modes ,” Phys. Rev. B   70 , 075103 ( 2004 ).
[Crossref]

de Fornel, F.

D. Gérard , L. Salomon , F. de Fornel , and A. V. Zayats , “ Ridge-enhanced optical transmission through a continuous metal film ,” Phys. Rev. B   69 , 113405 ( 2004 ).
[Crossref]

D. Gérard , L. Salomon , F. de Fornel , and A. V. Zayats , “ Analysis of the Bloch mode spectra of surface polaritonic crystals in the weak and strong coupling regimes: grating-enhanced transmission at oblique incidence and suppression of SPP radiative losses ,” Opt. Express   12 , 3652 – 3663 ( 2004 ), http://www.opticsexpress.org/abstract.cfm?URI=OPEX-12-16-3652 .
[Crossref] [PubMed]

L. Salomon , F. Grillot , A. V. Zayats , and F. de Fornel , “ Near-field distribution of optical transmission of periodic subwavelength holes in a metal film ,” Phys. Rev. Lett.   86 , 1110 – 1113 ( 2001 ).
[Crossref] [PubMed]

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 , S90 – S95 ( 2005 ).
[Crossref]

Devaux, E.

W. L. Barnes , W. A. Murray , J. Dintinger , E. Devaux , and T. W. Ebbesen , “ Surface plasmon polaritons and their role in the enhanced transmission of light through periodic arrays of subwavelength holes in a metal film ,” Phys. Rev. Lett.   92 , 107401 ( 2004 ).
[Crossref] [PubMed]

Dintinger, J.

W. L. Barnes , W. A. Murray , J. Dintinger , E. Devaux , and T. W. Ebbesen , “ Surface plasmon polaritons and their role in the enhanced transmission of light through periodic arrays of subwavelength holes in a metal film ,” Phys. Rev. Lett.   92 , 107401 ( 2004 ).
[Crossref] [PubMed]

Dykhne, A. M.

A. M. Dykhne , A. K. Sarychev , and V. M. Shalaev , “ Resonant transmittance through metal films with fabricated and light-induced modulation ,” Phys. Rev. B   67 , 195402 ( 2003 ).
[Crossref]

Ebbesen, T. W.

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 , S90 – S95 ( 2005 ).
[Crossref]

W. L. Barnes , W. A. Murray , J. Dintinger , E. Devaux , and T. W. Ebbesen , “ Surface plasmon polaritons and their role in the enhanced transmission of light through periodic arrays of subwavelength holes in a metal film ,” Phys. Rev. Lett.   92 , 107401 ( 2004 ).
[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]

A. Krishnan , T. Thio , T. J. Kim , H. J. Lezec , T. W. Ebbesen , P. A. Wolff , J. Pendry , L. Martin-Moreno , and 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. Wolf , “ Extraordinary optical transmission through sub-wavelength hole arrays ,” Nature (London)   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. J. Klein 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 , 183901 ( 2004 ).
[Crossref]

N. Bonod , S. Enoch , L. Li , E. Popov , and M. Nevière , “ Resonant opical transmission through thin metallic films with and without holes ,” Opt. Express   11 , 482 – 490 ( 2003 ).
[Crossref] [PubMed]

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

Garcia-Vidal,

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

Garcia-Vidal, F. J.

L. Martin-Moreno and F. J. Garcia-Vidal , “ Optical transmission through circular hole arrays in optically thick metal films ,” Opt. Express   12 , 3619 – 3628 ( 2004 ), http://www.opticsexpress.org/abstract.cfm?URI=OPEX-12-16-3619 .
[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]

Gayrold, T. K.

Genet, C.

C. Genet , M. P. van Exter , and J. P. Woerdman , “ Fano-type interpretation of red-shifts and red tails in hole array transmission spectra ”, Opt. Commun   225 , 331 – 336 ( 2003 ).
[Crossref]

Gérard, D.

Ghaemi, H. F.

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. Wolf , “ Extraordinary optical transmission through sub-wavelength hole arrays ,” Nature (London)   391 , 667 – 669 ( 1998 ).
[Crossref]

Gomez Rivas, J.

J. Gomez Rivas , C. Schotsch , P. Haring Bolivar , and H. Kurz , “ Enhanced transmission of THz radiation through subwavelength hole ,” Phys. Rev. B   68 , 201306 ( 2003 ).
[Crossref]

Grann, E. B.

Grillot, F.

L. Salomon , F. Grillot , A. V. Zayats , and F. de Fornel , “ Near-field distribution of optical transmission of periodic subwavelength holes in a metal film ,” Phys. Rev. Lett.   86 , 1110 – 1113 ( 2001 ).
[Crossref] [PubMed]

Grupp, D. E.

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]

Haring Bolivar, P.

J. Gomez Rivas , C. Schotsch , P. Haring Bolivar , and H. Kurz , “ Enhanced transmission of THz radiation through subwavelength hole ,” Phys. Rev. B   68 , 201306 ( 2003 ).
[Crossref]

Heitmann, D.

U. Schröter and D. Heitmann , “ Grating couplers for surface plasmons excited on thin metal films in the Kretschmann-Raether configuration ,” Phys. Rev. B   60 , 4992 – 4999 ( 1999 ).
[Crossref]

Hibbins, A. P.

A. P. Hibbins , J. R. Sambles , and C. R. Lawrence , “ Gratingless enhanced microwave transmission through a subwavelength aperture in a thick metal plate ,” Appl. Phys. Lett   84 , 4661 – 4663 ( 2002 ).
[Crossref]

Hooper, I. R.

I. R. Hooper and J. R. Sambles , “ Coupled surface plasmon polaritons on thin metal slabs corrugated on both surfaces ,” Phys. Rev. B   70 , 045421 ( 2004 ).
[Crossref]

Hunter, W. R.

D. W. Lynch and W. R. Hunter , in Handbook of optical constants of solids , E. D. Palik , ed. ( Academic press, New York , 1991 ).

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 Garcia-Vidal , “ Evanescently coupled resonance in surface plasmon enhanced transmission ,” Opt. Commun   200 , 1 – 7 ( 2001 ).
[Crossref]

Klein Koerkamp, K. J.

K. J. Klein 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 , 183901 ( 2004 ).
[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 Garcia-Vidal , “ Evanescently coupled resonance in surface plasmon enhanced transmission ,” Opt. Commun   200 , 1 – 7 ( 2001 ).
[Crossref]

Kuipers, L.

K. J. Klein 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 , 183901 ( 2004 ).
[Crossref]

Kurz, H.

J. Gomez Rivas , C. Schotsch , P. Haring Bolivar , and H. Kurz , “ Enhanced transmission of THz radiation through subwavelength hole ,” Phys. Rev. B   68 , 201306 ( 2003 ).
[Crossref]

Lalanne, P.

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

P. Lalanne and G. M. Morris , “ Highly improved convergence of the coupled-wave method for TM polarization ,” J. Opt. Soc. Am. A   13 , 779 – 784 (1996).

Lawrence, C. R.

A. P. Hibbins , J. R. Sambles , and C. R. Lawrence , “ Gratingless enhanced microwave transmission through a subwavelength aperture in a thick metal plate ,” Appl. Phys. Lett   84 , 4661 – 4663 ( 2002 ).
[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]

A. Krishnan , T. Thio , T. J. Kim , H. J. Lezec , T. W. Ebbesen , P. A. Wolff , J. Pendry , L. Martin-Moreno , and 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. Wolf , “ Extraordinary optical transmission through sub-wavelength hole arrays ,” Nature (London)   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, L.

Lynch, D. W.

D. W. Lynch and W. R. Hunter , in Handbook of optical constants of solids , E. D. Palik , ed. ( Academic press, New York , 1991 ).

Martin-Moreno, L.

L. Martin-Moreno and F. J. Garcia-Vidal , “ Optical transmission through circular hole arrays in optically thick metal films ,” Opt. Express   12 , 3619 – 3628 ( 2004 ), http://www.opticsexpress.org/abstract.cfm?URI=OPEX-12-16-3619 .
[Crossref]

A. Krishnan , T. Thio , T. J. Kim , H. J. Lezec , T. W. Ebbesen , P. A. Wolff , J. Pendry , L. Martin-Moreno , and 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]

Moharam, M. G.

Morris, G. M.

Murray, W. A.

W. L. Barnes , W. A. Murray , J. Dintinger , E. Devaux , and T. W. Ebbesen , “ Surface plasmon polaritons and their role in the enhanced transmission of light through periodic arrays of subwavelength holes in a metal film ,” Phys. Rev. Lett.   92 , 107401 ( 2004 ).
[Crossref] [PubMed]

Nevière, M.

S. A. Damanyan and A. V. Zayats , “ Light tunneling via resonant surface plasmon polariton states and the enhanced transmission of periodically nanostructured metal films: an analytical study ,” Phys. Rev. B   67 , 035424 ( 2003 ); S. A. Damanyan , M. Nevière , and A. V. Zayats , “ Analytical theory of optical transmission through periodically structured metal films via tunnel-coupled surface polariton modes ,” Phys. Rev. B   70 , 075103 ( 2004 ).
[Crossref]

N. Bonod , S. Enoch , L. Li , E. Popov , and M. Nevière , “ Resonant opical transmission through thin metallic films with and without holes ,” Opt. Express   11 , 482 – 490 ( 2003 ).
[Crossref] [PubMed]

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

Pellerin, K. M.

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.

A. Krishnan , T. Thio , T. J. Kim , H. J. Lezec , T. W. Ebbesen , P. A. Wolff , J. Pendry , L. Martin-Moreno , and 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]

Pommet, D. A.

Popov, E.

N. Bonod , S. Enoch , L. Li , E. Popov , and M. Nevière , “ Resonant opical transmission through thin metallic films with and without holes ,” Opt. Express   11 , 482 – 490 ( 2003 ).
[Crossref] [PubMed]

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

Reinisch, R.

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

Salomon, L.

D. Gérard , L. Salomon , F. de Fornel , and A. V. Zayats , “ Ridge-enhanced optical transmission through a continuous metal film ,” Phys. Rev. B   69 , 113405 ( 2004 ).
[Crossref]

D. Gérard , L. Salomon , F. de Fornel , and A. V. Zayats , “ Analysis of the Bloch mode spectra of surface polaritonic crystals in the weak and strong coupling regimes: grating-enhanced transmission at oblique incidence and suppression of SPP radiative losses ,” Opt. Express   12 , 3652 – 3663 ( 2004 ), http://www.opticsexpress.org/abstract.cfm?URI=OPEX-12-16-3652 .
[Crossref] [PubMed]

L. Salomon , F. Grillot , A. V. Zayats , and F. de Fornel , “ Near-field distribution of optical transmission of periodic subwavelength holes in a metal film ,” Phys. Rev. Lett.   86 , 1110 – 1113 ( 2001 ).
[Crossref] [PubMed]

Sambles, J. R.

I. R. Hooper and J. R. Sambles , “ Coupled surface plasmon polaritons on thin metal slabs corrugated on both surfaces ,” Phys. Rev. B   70 , 045421 ( 2004 ).
[Crossref]

A. P. Hibbins , J. R. Sambles , and C. R. Lawrence , “ Gratingless enhanced microwave transmission through a subwavelength aperture in a thick metal plate ,” Appl. Phys. Lett   84 , 4661 – 4663 ( 2002 ).
[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 , 085415 ( 2003 ).
[Crossref]

Sarychev, A. K.

A. M. Dykhne , A. K. Sarychev , and V. M. Shalaev , “ Resonant transmittance through metal films with fabricated and light-induced modulation ,” Phys. Rev. B   67 , 195402 ( 2003 ).
[Crossref]

Schotsch, C.

J. Gomez Rivas , C. Schotsch , P. Haring Bolivar , and H. Kurz , “ Enhanced transmission of THz radiation through subwavelength hole ,” Phys. Rev. B   68 , 201306 ( 2003 ).
[Crossref]

Schröter, U.

U. Schröter and D. Heitmann , “ Grating couplers for surface plasmons excited on thin metal films in the Kretschmann-Raether configuration ,” Phys. Rev. B   60 , 4992 – 4999 ( 1999 ).
[Crossref]

Segerink, F. B.

K. J. Klein 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 , 183901 ( 2004 ).
[Crossref]

Shalaev, V. M.

A. M. Dykhne , A. K. Sarychev , and V. M. Shalaev , “ Resonant transmittance through metal films with fabricated and light-induced modulation ,” Phys. Rev. B   67 , 195402 ( 2003 ).
[Crossref]

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]

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

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

Treacy, M. M. J.

M. M. J. Treacy , “ Dynamical diffraction explanation of the anomalous transmission of light through metallic gratings ,” Phys. Rev. B   66 , 195105 ( 2002 ).
[Crossref]

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

van Exter, M. P.

E. Altewischer , M. P. van Exter , and J. P. Woerdman , “ Nonreciprocal reflection of a subwavelength hole array ,” Opt. Lett.   28 , 1906 – 1908 ( 2003 ).
[Crossref] [PubMed]

C. Genet , M. P. van Exter , and J. P. Woerdman , “ Fano-type interpretation of red-shifts and red tails in hole array transmission spectra ”, Opt. Commun   225 , 331 – 336 ( 2003 ).
[Crossref]

van Hulst, N. F.

K. J. Klein 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 , 183901 ( 2004 ).
[Crossref]

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 , 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 , 085415 ( 2003 ).
[Crossref]

Woerdman, J. P.

C. Genet , M. P. van Exter , and J. P. Woerdman , “ Fano-type interpretation of red-shifts and red tails in hole array transmission spectra ”, Opt. Commun   225 , 331 – 336 ( 2003 ).
[Crossref]

E. Altewischer , M. P. van Exter , and J. P. Woerdman , “ Nonreciprocal reflection of a subwavelength hole array ,” Opt. Lett.   28 , 1906 – 1908 ( 2003 ).
[Crossref] [PubMed]

Wolf, P. A.

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

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 Garcia-Vidal , “ Evanescently coupled resonance in surface plasmon enhanced transmission ,” Opt. Commun   200 , 1 – 7 ( 2001 ).
[Crossref]

Worthing, P. T.

P. T. Worthing and W. L. Barnes , “ Efficient coupling of surface plasmon polaritons to radiation using a bigrating ,” Appl. Phys. Lett.   79 , 3035 – 3037 ( 2001 ).
[Crossref]

Zayats, A. V.

D. Gérard , L. Salomon , F. de Fornel , and A. V. Zayats , “ Ridge-enhanced optical transmission through a continuous metal film ,” Phys. Rev. B   69 , 113405 ( 2004 ).
[Crossref]

D. Gérard , L. Salomon , F. de Fornel , and A. V. Zayats , “ Analysis of the Bloch mode spectra of surface polaritonic crystals in the weak and strong coupling regimes: grating-enhanced transmission at oblique incidence and suppression of SPP radiative losses ,” Opt. Express   12 , 3652 – 3663 ( 2004 ), http://www.opticsexpress.org/abstract.cfm?URI=OPEX-12-16-3652 .
[Crossref] [PubMed]

S. A. Damanyan and A. V. Zayats , “ Light tunneling via resonant surface plasmon polariton states and the enhanced transmission of periodically nanostructured metal films: an analytical study ,” Phys. Rev. B   67 , 035424 ( 2003 ); S. A. Damanyan , M. Nevière , and A. V. Zayats , “ Analytical theory of optical transmission through periodically structured metal films via tunnel-coupled surface polariton modes ,” Phys. Rev. B   70 , 075103 ( 2004 ).
[Crossref]

S. A. Damanyan and A. V. Zayats , “ Light tunneling via resonant surface plasmon polariton states and the enhanced transmission of periodically nanostructured metal films: an analytical study ,” Phys. Rev. B   67 , 035424 ( 2003 ); S. A. Damanyan , M. Nevière , and A. V. Zayats , “ Analytical theory of optical transmission through periodically structured metal films via tunnel-coupled surface polariton modes ,” Phys. Rev. B   70 , 075103 ( 2004 ).
[Crossref]

L. Salomon , F. Grillot , A. V. Zayats , and F. de Fornel , “ Near-field distribution of optical transmission of periodic subwavelength holes in a metal film ,” Phys. Rev. Lett.   86 , 1110 – 1113 ( 2001 ).
[Crossref] [PubMed]

Appl. Phys. Lett (2)

A. P. Hibbins , J. R. Sambles , and C. R. Lawrence , “ Gratingless enhanced microwave transmission through a subwavelength aperture in a thick metal plate ,” Appl. Phys. Lett   84 , 4661 – 4663 ( 2002 ).
[Crossref]

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

Appl. Phys. Lett. (1)

P. T. Worthing and W. L. Barnes , “ Efficient coupling of surface plasmon polaritons to radiation using a bigrating ,” Appl. Phys. Lett.   79 , 3035 – 3037 ( 2001 ).
[Crossref]

J. Opt. A: Pure Appl. Opt (1)

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 , S90 – S95 ( 2005 ).
[Crossref]

J. Opt. Soc. Am. A (3)

Nature (London) (1)

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

Opt. Commun (2)

C. Genet , M. P. van Exter , and J. P. Woerdman , “ Fano-type interpretation of red-shifts and red tails in hole array transmission spectra ”, Opt. Commun   225 , 331 – 336 ( 2003 ).
[Crossref]

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

Opt. Express (3)

Opt. Lett. (1)

Phys. Rev. B (10)

I. R. Hooper and J. R. Sambles , “ Coupled surface plasmon polaritons on thin metal slabs corrugated on both surfaces ,” Phys. Rev. B   70 , 045421 ( 2004 ).
[Crossref]

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

D. Gérard , L. Salomon , F. de Fornel , and A. V. Zayats , “ Ridge-enhanced optical transmission through a continuous metal film ,” Phys. Rev. B   69 , 113405 ( 2004 ).
[Crossref]

A. M. Dykhne , A. K. Sarychev , and V. M. Shalaev , “ Resonant transmittance through metal films with fabricated and light-induced modulation ,” Phys. Rev. B   67 , 195402 ( 2003 ).
[Crossref]

S. A. Damanyan and A. V. Zayats , “ Light tunneling via resonant surface plasmon polariton states and the enhanced transmission of periodically nanostructured metal films: an analytical study ,” Phys. Rev. B   67 , 035424 ( 2003 ); S. A. Damanyan , M. Nevière , and A. V. Zayats , “ Analytical theory of optical transmission through periodically structured metal films via tunnel-coupled surface polariton modes ,” Phys. Rev. B   70 , 075103 ( 2004 ).
[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]

J. Gomez Rivas , C. Schotsch , P. Haring Bolivar , and H. Kurz , “ Enhanced transmission of THz radiation through subwavelength hole ,” Phys. Rev. B   68 , 201306 ( 2003 ).
[Crossref]

U. Schröter and D. Heitmann , “ Grating couplers for surface plasmons excited on thin metal films in the Kretschmann-Raether configuration ,” Phys. Rev. B   60 , 4992 – 4999 ( 1999 ).
[Crossref]

M. M. J. Treacy , “ Dynamical diffraction explanation of the anomalous transmission of light through metallic gratings ,” Phys. Rev. B   66 , 195105 ( 2002 ).
[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 , 085415 ( 2003 ).
[Crossref]

Phys. Rev. Lett. (5)

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

K. J. Klein 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 , 183901 ( 2004 ).
[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]

L. Salomon , F. Grillot , A. V. Zayats , and F. de Fornel , “ Near-field distribution of optical transmission of periodic subwavelength holes in a metal film ,” Phys. Rev. Lett.   86 , 1110 – 1113 ( 2001 ).
[Crossref] [PubMed]

W. L. Barnes , W. A. Murray , J. Dintinger , E. Devaux , and T. W. Ebbesen , “ Surface plasmon polaritons and their role in the enhanced transmission of light through periodic arrays of subwavelength holes in a metal film ,” Phys. Rev. Lett.   92 , 107401 ( 2004 ).
[Crossref] [PubMed]

Other (1)

D. W. Lynch and W. R. Hunter , in Handbook of optical constants of solids , E. D. Palik , ed. ( Academic press, New York , 1991 ).

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Figures (7)

Fig. 1.
Fig. 1.

Schematic representation of a periodically modulated metallic film. It consists in a one-dimensional metal grating with a period a0 , a slit diameter d, and a film thickness h.

Fig. 2.
Fig. 2.

Wavelength dependence of the modulus of the determinant of the matrix A defined in Eq. (40) for a nanostructure with the following parameters: a0 = 700 nm, d = 200 nm, h = 110 nm, ΩI = 1 and ΩIII = 2.28 . The spectral positions of the two resonances RI (metal/air) and RIII (metal/glass) are located at λ = 728 nm and λ = 1094 nm respectively.

Fig. 3.
Fig. 3.

Zero order transmission of the same nanostructure as in Fig. 2 (a0 = 700 nm, d = 200 nm, h = 110 nm, εI =1 and εIII = 2.28). The two resonances RI (metal/air) and RIII (metal/Glass) clearly display Fano profiles. Inset: comparison between the spectral positions of the transmission (red) and SPP resonance(blue).

Fig.4.
Fig.4.

Calculated transmission (a), reflectivity and absorption (b) spectra of the structured silver film obtained by illuminating from both sides: air (full line) and glass (dashed line).

Fig. 5.
Fig. 5.

Transmission (a) and reflectivity (b) spectra of a symmetric sinusoidally modulated silver film (εI =εIII =1), for different thickness h. Structure parameters: a0 = 700 nm, d = 200 nm. The imaginary part of the dielectric function of silver is neglected.

Fig.6.
Fig.6.

Transmission (a), reflectivity (b) and absorption (c) spectra of the symmetric structure described in Fig. 5. for different values of h, the complex dielectric function of the metal being taken into account.

Fig. 7.
Fig. 7.

Calculated zero order transmission spectra of a modulated silver film as a function of the dielectric constant of the medium I. The medium III (substrate) is quartz εIII =2.31. The structure parameters are a0 = 600 nm, d = 200 nm, and h = 150 nm. (a) εIεIII , (b) εIεIII .

Equations (51)

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ε II ( x ) = n ε n exp ( ingx )
{ ε 0 = f ε s + ( 1 f ) ε m , for n = 0 ε n = ( ε s ε m ) sin ( nπf ) , for n 0
H 0 y = exp [ i ( k Ix x + k Iz z ) ]
k x n = k Ix + ng
k spp = k x n = k Ix + ng
H Iy = H 0 y + n r n exp [ i ( k x n x k Iz n z ) ]
H IIIy = n t n exp [ i ( k x n x + k IIIz n ( z h ) ) ]
E = ( i ω ε f ε ) × H
H IIy z = ε f ε ( x ) E IIx
E IIx z = μ 0 H IIy + E IIz x
H IIy = n H II n ( z ) exp ( i k x n x )
E IIx = i ( μ 0 ε f ) 1 2 n E II n ( z ) exp ( i k x n x )
[ H II ] z = k 0 [ ε ] [ E II ]
[ E II ] z = k 0 ( K x [ ε ] 1 K x I d ) [ H II ]
2 [ E II ] z 2 = k 0 2 M [ E II ]
2 [ H II ] z 2 = k 0 2 M [ H II ]
M = ( K x [ ε ] 1 K x I d ) [ ε ]
M = [ ε ] ( K x [ ε ] 1 K x I d )
E II n ( z ) = m N E n , m { ψ m + exp ( k 0 q m z ) + ψ m exp ( k 0 q m ( z h ) ) }
H II n ( z ) = m N H n , m { ψ m + exp ( k 0 q m z ) + ψ m exp ( k 0 q m ( z h ) ) }
δ n 0 + r n = m = 1 N H n , m [ ψ m + + ψ m exp ( k 0 q m h ) ]
k Iz 0 ε I δ n 0 + k Iz n ε I r n = m = 1 N iE n , m [ ψ m + + ψ m exp ( k 0 q m h ) ]
m = 1 N H n , m [ ψ m + exp ( k 0 q m h ) + ψ m ] = t n
m = 1 N iE n , m [ ψ m + exp ( k 0 q m h ) + ψ m ] = k IIIz n ε III t n
m = 1 N [ k I z n ε I H n , m + i E n , m ] ψ m + + m = 1 N [ k I z n ε I H n , m + i E n , m ] exp ( k 0 q m h ) ψ m = 2 k I ε I δ n 0
m = 1 N [ k IIIz n ε III H n , m + i E n , m ] exp ( k 0 q m h ) ψ m + + m = 1 N [ k IIIz n ε III H n , m + i E n , m ] ψ m = 0
[ K IZ [ H ] + i [ E ] { K IZ [ H ] + i [ E ] } X { K IIIZ [ H ] + i [ E ] } X K IIIZ [ H ] + i [ E ] ] [ ψ m + ψ m ] = [ INC 0 ]
R n = r n r n * Re ( k Iz n k 0 n I cos θ )
T n = t n t n * Re ( n I k IIIz n k 0 n III 2 cos θ )
ε II ( x ) = ε 0 + ε 1 exp ( igx ) + ε 1 exp ( igx )
ε II ( x ) = ε 0 ( 1 + α exp ( igx ) + α exp ( igx ) )
K x = ( g k 0 0 0 0 0 0 0 0 g k 0 )
[ ε ] = ε 0 ( 1 α 0 α 1 α 0 α 1 )
M = ( [ g 2 ε 0 k 0 2 ( 1 + α 2 1 + 2 α 2 ) 1 ] ε 0 α ( g 2 ε 0 k 0 2 ) k 0 2 α 2 1 + 2 α 2 g 2 k 0 2 ε 0 α ε 0 ε 0 α α 2 1 + 2 α 2 g 2 k 0 2 α ( g 2 ε 0 k 0 2 ) k 0 2 [ g 2 ε 0 k 0 2 ( 1 + α 2 1 + 2 α 2 ) 1 ] ε 0 )
q 1 2 = 1 2 k 0 2 ( 2 ε 0 k 0 2 + g 2 + g 4 + 8 ε 0 k 0 2 α 2 ( ε 0 k 0 2 g 2 ) )
q 2 2 = 1 2 k 0 2 ( 2 ε 0 k 0 2 + g 2 g 4 + 8 ε 0 k 0 2 α 2 ( ε 0 k 0 2 g 2 ) )
q 3 2 = 1 k 0 2 ( ε 0 k 0 2 + g 2 1 2 α 2 )
[ E ] = ( 1 1 1 E 1 E 2 0 1 1 1 )
E 1 = k 0 2 ε 0 + q 2 2 α ( ε 0 k 0 2 g 2 )
E 2 = k 0 2 ε 0 + q 1 2 α ( ε 0 k 0 2 g 2 )
[ H ] = ( H 1 H 2 ε k 0 q 3 H 3 H 4 0 H 1 H 2 ε 0 k 0 q 3 )
H 1 = ε 0 k 0 q 1 ( 1 + α E 1 ) H 2 = ε 0 k 0 q 2 ( 1 + α E 2 )
H 3 = ε 0 k 0 q 1 ( E 1 + 2 α ) H 4 = ε 0 k 0 q 2 ( E 2 + 2 α )
A ( ψ 3 + ψ 1 + ψ 3 ψ 1 ) = ( 2 k I ε I 0 0 0 )
A = ( k I ε I H 3 + i E 1 k I ε I H 4 + i E 2 ( k I ε I H 3 + i E 1 ) e ( k 0 q 1 h ) ( k I ε I H 4 + i E 2 ) e ( k 0 q 2 h ) k Iz ε I H 1 + i k Iz ε I H 2 + i ( k Iz ε I H 1 + i ) e ( k 0 q 1 h ) ( k Iz ε I H 2 + i ) e ( k 0 q 2 h ) ( k III ε III H 3 + i E 1 ) e ( k 0 q 1 h ) ( k III ε III H 4 + i E 2 ) e ( k 0 q 2 h ) ( k III ε III H 3 + i E 1 ) ( k III ε III H 4 + i E 2 ) ( k IIIz ε III H 1 + i ) e ( k 0 q 1 h ) ( k IIIz ε III H 2 + i ) e ( k 0 q 2 h ) ( k IIIz ε III H 1 + i ) ( k IIIz ε III H 2 + i ) )
k ( I , III ) z = k ( I , III ) 2 g 2
t 0 = 1 Δ [ Δ 1 H 3 exp ( k 0 q 1 h ) Δ 2 H 4 exp ( k 0 q 2 h ) + Δ 3 H 3 + Δ 4 H 4 ]
t 1 = 1 Δ [ Δ 1 H 1 exp ( k 0 q 1 h ) Δ 2 H 2 exp ( k 0 q 2 h ) + Δ 3 H 1 + Δ 4 H 2 ]
r 0 = 1 Δ [ Δ 1 H 3 Δ 2 H 4 + Δ 3 H 3 exp ( k 0 q 1 h ) + Δ 4 H 4 exp ( k 0 q 2 h ) ] 1
r 1 = 1 Δ [ Δ 1 H 1 Δ 2 H 2 + Δ 3 H 1 exp ( k 0 q 1 h ) + Δ 4 H 2 exp ( k 0 q 2 h ) ]
A = 1 R 0 2 R 1 T 0 2 T 1

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