Abstract

Extensive 3-D finite-difference time-domain simulations are carried out to elucidate the nature of surface plasmon polaritons (SPPs) and localized surface plasmon polaritons (LSPs) generated by nanoscale holes in thin metallic films interacting with light. Both isolated nanoholes and square arrays of nanoholes in gold films are considered. For isolated nanoholes, we expand on an earlier discussion of Yin et al. [Appl. Phys. Lett. 85, 467–469 (2004)] on the origins of fringe patterns in the film and the role of near-field scanning optical microscope probe interactions. The associated light transmission of a single nanohole is enhanced when a LSP excitation of the nanohole itself is excited. Periodic arrays of nanoholes exhibit more complex behavior, with light transmission peaks exhibiting distinct minima and maxima that can be very well described with Fano lineshape models. This behavior is correlated with the coupling of SPP Bloch waves and more directly transmitted waves through the holes.

© 2005 Optical Society of America

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References

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    [Crossref] [PubMed]
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    [Crossref]
  32. 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(1–4) (2002).
    [Crossref] [PubMed]
  33. W. Fan, S. Zhang, B. Minhas, K.J. Malloy, and R.J. Brueck, “Enhanced infrared transmission through subwavelength coaxial metallic arrays,” Phys. Rev. Lett. 94, 033902(1–4) (2005).
    [Crossref] [PubMed]

2005 (1)

W. Fan, S. Zhang, B. Minhas, K.J. Malloy, and R.J. Brueck, “Enhanced infrared transmission through subwavelength coaxial metallic arrays,” Phys. Rev. Lett. 94, 033902(1–4) (2005).
[Crossref] [PubMed]

2004 (5)

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 sub-wavelength holes in a metal film,” Phys. Rev. Lett. 92, 107401(1–4) (2004).
[Crossref] [PubMed]

L. Yin, V.K. Vlasko-Vlasov, A. Rydh, J. Pearson, U. Welp, S.-H. Chang, S.K. Gray, G.C. Schatz, D.E. Brown, and C.W. Kimball, “Surface plasmons at single nanoholes in Au films,” Appl. Phys. Lett. 85, 467–469 (2004).
[Crossref]

J. Prikulis, P. Hanarp, L. Olofsson, D. Sutherland, and M. Kall, “Optical spectroscopy of nanometric holes in thin gold films,” Nano Lett. 4, 1003–2007 (2004).
[Crossref]

A. Degiron, H.J. Lezec, N. Yamamoto, and T.W. Ebbesen “Optical transmission properties of a single subwavelength aperture in a real metal,” Opt. Commun. 239, 61–66 (2004).
[Crossref]

H.J. Lezec and T. Thio, “Diffracted evanescent wave model for enhanced and suppressed optical transmission through subwavelength hole arrays,” Opt. Express 12, 3629–3651 (2004), http://www.opticsexpress.org/abstract.cfm?URI=OPEX-12-16-3629
[Crossref] [PubMed]

2003 (6)

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 (1–8) (2003).
[Crossref]

S.A. Darmanyan 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(1–7) (2003).
[Crossref]

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]

S.K. Gray and T. Kupka, “Propagation of light in metallic nanowire arrays: Finite-difference time-domain results for silver cylinders,” Phys. Rev. B 68, 045415(1–11) (2003).
[Crossref]

J. M. Steele, C.E. Moran, A. Lee, C.M. Aguirre, and N.J. Halas, “Metallodielectric gratings with subwavelength slots: Optical properties,” Phys Rev. B 68, 205103(1–7) (2003).
[Crossref]

K.L. Kelly, E. Coronado, L.L. Zhao, and G.C. Schatz, “The optical properties of metal nanoparticles: The influence of size, shape, and dielectric environment,” J. Phys. Chem. B 107, 668–677 (2003).
[Crossref]

2002 (1)

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(1–4) (2002).
[Crossref] [PubMed]

2001 (4)

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

G. Guiffaut and K. Mahdjoubi, “A parallel FDTD Algorithm using the MPI library,” IEEE Ant. and Prop. Mag. 43, 94–103 (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, 1110–1117 (2001).
[Crossref] [PubMed]

R. Wannemacher, “Plasmon-supported transmission of light through nanometric holes in metallic thin films,” Opt. Commun. 195, 107–118 (2001).
[Crossref]

1999 (2)

1998 (3)

H. Kano, S. Mizuguchi, and Satoshi Kawata, “Excitation of surface-plasmon polaritons by a focused laser beam,” J. Opt. Soc. Am. B,  15, 1381 (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]

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]

1996 (1)

R.D. Grober, T. Rutherford, and T.D. Harris, “Model approximation for the electromagnetic field of a near-field optical probe,” Appl. Optics 19, 3488–3495 (1996).
[Crossref]

1972 (1)

P.B. Johnson and R.W. Christy, “Optical constants of the noble metals,” Phys. Rev. B 6, 4370–4379 (1972).
[Crossref]

1961 (1)

U. Fano, “Effects of Configuration Interaction on Intensities and Phase Shifts,” Phys. Rev. 124, 1866–1878 (1961).
[Crossref]

1950 (1)

C.J. Bouwkamp, “On Bethe’s theory of diffraction by small holes,” Philips Res. Rep. 5, 321–332 (1950).

1944 (1)

H.A. Bethe, “Theory of diffraction by small holes,” Phys. Rev. 66, 163–182 (1944).
[Crossref]

Aguirre, C.M.

J. M. Steele, C.E. Moran, A. Lee, C.M. Aguirre, and N.J. Halas, “Metallodielectric gratings with subwavelength slots: Optical properties,” Phys Rev. B 68, 205103(1–7) (2003).
[Crossref]

Arfken, G.B.

G.B. Arfken and H.J. Weber, Mathematical Methods for Physicists, (Academic Press, New York, 1995).

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 sub-wavelength holes in a metal film,” Phys. Rev. Lett. 92, 107401(1–4) (2004).
[Crossref] [PubMed]

Bethe, H.A.

H.A. Bethe, “Theory of diffraction by small holes,” Phys. Rev. 66, 163–182 (1944).
[Crossref]

Bohren, C. F.

C. F. Bohren and D. R. Huffman, Absorption and Scattering of Light by Small Particles, Second Edition (Wiley, New York, 1983) p. 344.

Bouwkamp, C.J.

C.J. Bouwkamp, “On Bethe’s theory of diffraction by small holes,” Philips Res. Rep. 5, 321–332 (1950).

Brown, D.E.

L. Yin, V.K. Vlasko-Vlasov, A. Rydh, J. Pearson, U. Welp, S.-H. Chang, S.K. Gray, G.C. Schatz, D.E. Brown, and C.W. Kimball, “Surface plasmons at single nanoholes in Au films,” Appl. Phys. Lett. 85, 467–469 (2004).
[Crossref]

Brueck, R.J.

W. Fan, S. Zhang, B. Minhas, K.J. Malloy, and R.J. Brueck, “Enhanced infrared transmission through subwavelength coaxial metallic arrays,” Phys. Rev. Lett. 94, 033902(1–4) (2005).
[Crossref] [PubMed]

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(1–4) (2002).
[Crossref] [PubMed]

Chang, S.-H.

L. Yin, V.K. Vlasko-Vlasov, A. Rydh, J. Pearson, U. Welp, S.-H. Chang, S.K. Gray, G.C. Schatz, D.E. Brown, and C.W. Kimball, “Surface plasmons at single nanoholes in Au films,” Appl. Phys. Lett. 85, 467–469 (2004).
[Crossref]

Christy, R.W.

P.B. Johnson and R.W. Christy, “Optical constants of the noble metals,” Phys. Rev. B 6, 4370–4379 (1972).
[Crossref]

Coronado, E.

K.L. Kelly, E. Coronado, L.L. Zhao, and G.C. Schatz, “The optical properties of metal nanoparticles: The influence of size, shape, and dielectric environment,” J. Phys. Chem. B 107, 668–677 (2003).
[Crossref]

Darmanyan, S.A.

S.A. Darmanyan 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(1–7) (2003).
[Crossref]

de Fornel, 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, 1110–1117 (2001).
[Crossref] [PubMed]

Degiron, A.

A. Degiron, H.J. Lezec, N. Yamamoto, and T.W. Ebbesen “Optical transmission properties of a single subwavelength aperture in a real metal,” Opt. Commun. 239, 61–66 (2004).
[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 sub-wavelength holes in a metal film,” Phys. Rev. Lett. 92, 107401(1–4) (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 sub-wavelength holes in a metal film,” Phys. Rev. Lett. 92, 107401(1–4) (2004).
[Crossref] [PubMed]

Ebbesen, T. W.

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]

Ebbesen, T.W.

A. Degiron, H.J. Lezec, N. Yamamoto, and T.W. Ebbesen “Optical transmission properties of a single subwavelength aperture in a real metal,” Opt. Commun. 239, 61–66 (2004).
[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 sub-wavelength holes in a metal film,” Phys. Rev. Lett. 92, 107401(1–4) (2004).
[Crossref] [PubMed]

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

T.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]

Fan, W.

W. Fan, S. Zhang, B. Minhas, K.J. Malloy, and R.J. Brueck, “Enhanced infrared transmission through subwavelength coaxial metallic arrays,” Phys. Rev. Lett. 94, 033902(1–4) (2005).
[Crossref] [PubMed]

Fano, U.

U. Fano, “Effects of Configuration Interaction on Intensities and Phase Shifts,” Phys. Rev. 124, 1866–1878 (1961).
[Crossref]

Garcia-Vidal, F.J.

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

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]

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]

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]

Gray, S.K.

L. Yin, V.K. Vlasko-Vlasov, A. Rydh, J. Pearson, U. Welp, S.-H. Chang, S.K. Gray, G.C. Schatz, D.E. Brown, and C.W. Kimball, “Surface plasmons at single nanoholes in Au films,” Appl. Phys. Lett. 85, 467–469 (2004).
[Crossref]

S.K. Gray and T. Kupka, “Propagation of light in metallic nanowire arrays: Finite-difference time-domain results for silver cylinders,” Phys. Rev. B 68, 045415(1–11) (2003).
[Crossref]

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, 1110–1117 (2001).
[Crossref] [PubMed]

Grober, R.D.

R.D. Grober, T. Rutherford, and T.D. Harris, “Model approximation for the electromagnetic field of a near-field optical probe,” Appl. Optics 19, 3488–3495 (1996).
[Crossref]

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]

Guiffaut, G.

G. Guiffaut and K. Mahdjoubi, “A parallel FDTD Algorithm using the MPI library,” IEEE Ant. and Prop. Mag. 43, 94–103 (2001).
[Crossref]

Hagness, S.C.

A. Taflove and S.C. Hagness, Computational Electrodynamics: The Finite-difference Time-Domain Method, Second Edition, (Artech House, Boston, 2000).

Halas, N.J.

J. M. Steele, C.E. Moran, A. Lee, C.M. Aguirre, and N.J. Halas, “Metallodielectric gratings with subwavelength slots: Optical properties,” Phys Rev. B 68, 205103(1–7) (2003).
[Crossref]

Hanarp, P.

J. Prikulis, P. Hanarp, L. Olofsson, D. Sutherland, and M. Kall, “Optical spectroscopy of nanometric holes in thin gold films,” Nano Lett. 4, 1003–2007 (2004).
[Crossref]

Harris, T.D.

R.D. Grober, T. Rutherford, and T.D. Harris, “Model approximation for the electromagnetic field of a near-field optical probe,” Appl. Optics 19, 3488–3495 (1996).
[Crossref]

Huffman, D. R.

C. F. Bohren and D. R. Huffman, Absorption and Scattering of Light by Small Particles, Second Edition (Wiley, New York, 1983) p. 344.

Jackson, J.D.

J.D. Jackson, Classical Electrodynamics, Second Edition (Wiley, New York, 1975) pp. 438–441.

Johnson, P.B.

P.B. Johnson and R.W. Christy, “Optical constants of the noble metals,” Phys. Rev. B 6, 4370–4379 (1972).
[Crossref]

Kall, M.

J. Prikulis, P. Hanarp, L. Olofsson, D. Sutherland, and M. Kall, “Optical spectroscopy of nanometric holes in thin gold films,” Nano Lett. 4, 1003–2007 (2004).
[Crossref]

Kano, H.

Kawata, Satoshi

Kelly, K.L.

K.L. Kelly, E. Coronado, L.L. Zhao, and G.C. Schatz, “The optical properties of metal nanoparticles: The influence of size, shape, and dielectric environment,” J. Phys. Chem. B 107, 668–677 (2003).
[Crossref]

Kim, T.J.

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

Kimball, C.W.

L. Yin, V.K. Vlasko-Vlasov, A. Rydh, J. Pearson, U. Welp, S.-H. Chang, S.K. Gray, G.C. Schatz, D.E. Brown, and C.W. Kimball, “Surface plasmons at single nanoholes in Au films,” Appl. Phys. Lett. 85, 467–469 (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 F.J. Garcia-Vidal, “Evanescently coupled resonance in surface plasmon enhanced transmission,” Opt. Commun. 200, 1–7 (2001).
[Crossref]

Kupka, T.

S.K. Gray and T. Kupka, “Propagation of light in metallic nanowire arrays: Finite-difference time-domain results for silver cylinders,” Phys. Rev. B 68, 045415(1–11) (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(1–4) (2002).
[Crossref] [PubMed]

Lee, A.

J. M. Steele, C.E. Moran, A. Lee, C.M. Aguirre, and N.J. Halas, “Metallodielectric gratings with subwavelength slots: Optical properties,” Phys Rev. B 68, 205103(1–7) (2003).
[Crossref]

Lezec, H. J.

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]

Lezec, H.J.

H.J. Lezec and T. Thio, “Diffracted evanescent wave model for enhanced and suppressed optical transmission through subwavelength hole arrays,” Opt. Express 12, 3629–3651 (2004), http://www.opticsexpress.org/abstract.cfm?URI=OPEX-12-16-3629
[Crossref] [PubMed]

A. Degiron, H.J. Lezec, N. Yamamoto, and T.W. Ebbesen “Optical transmission properties of a single subwavelength aperture in a real metal,” Opt. Commun. 239, 61–66 (2004).
[Crossref]

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

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]

Mahdjoubi, K.

G. Guiffaut and K. Mahdjoubi, “A parallel FDTD Algorithm using the MPI library,” IEEE Ant. and Prop. Mag. 43, 94–103 (2001).
[Crossref]

Malloy, K.J.

W. Fan, S. Zhang, B. Minhas, K.J. Malloy, and R.J. Brueck, “Enhanced infrared transmission through subwavelength coaxial metallic arrays,” Phys. Rev. Lett. 94, 033902(1–4) (2005).
[Crossref] [PubMed]

Martin-Moreno, L.

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

Minhas, B.

W. Fan, S. Zhang, B. Minhas, K.J. Malloy, and R.J. Brueck, “Enhanced infrared transmission through subwavelength coaxial metallic arrays,” Phys. Rev. Lett. 94, 033902(1–4) (2005).
[Crossref] [PubMed]

Mizuguchi, S.

Moran, C.E.

J. M. Steele, C.E. Moran, A. Lee, C.M. Aguirre, and N.J. Halas, “Metallodielectric gratings with subwavelength slots: Optical properties,” Phys Rev. B 68, 205103(1–7) (2003).
[Crossref]

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 sub-wavelength holes in a metal film,” Phys. Rev. Lett. 92, 107401(1–4) (2004).
[Crossref] [PubMed]

Olofsson, L.

J. Prikulis, P. Hanarp, L. Olofsson, D. Sutherland, and M. Kall, “Optical spectroscopy of nanometric holes in thin gold films,” Nano Lett. 4, 1003–2007 (2004).
[Crossref]

Pearson, J.

L. Yin, V.K. Vlasko-Vlasov, A. Rydh, J. Pearson, U. Welp, S.-H. Chang, S.K. Gray, G.C. Schatz, D.E. Brown, and C.W. Kimball, “Surface plasmons at single nanoholes in Au films,” Appl. Phys. Lett. 85, 467–469 (2004).
[Crossref]

Pendry, J.

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

Prather, D. W.

Prikulis, J.

J. Prikulis, P. Hanarp, L. Olofsson, D. Sutherland, and M. Kall, “Optical spectroscopy of nanometric holes in thin gold films,” Nano Lett. 4, 1003–2007 (2004).
[Crossref]

Raether, H.

H. Raether, Surface Plasmons on Smooth and Rough Surfaces and on Gratings, (Springer-Verlag, New York, 1988).

Rutherford, T.

R.D. Grober, T. Rutherford, and T.D. Harris, “Model approximation for the electromagnetic field of a near-field optical probe,” Appl. Optics 19, 3488–3495 (1996).
[Crossref]

Rydh, A.

L. Yin, V.K. Vlasko-Vlasov, A. Rydh, J. Pearson, U. Welp, S.-H. Chang, S.K. Gray, G.C. Schatz, D.E. Brown, and C.W. Kimball, “Surface plasmons at single nanoholes in Au films,” Appl. Phys. Lett. 85, 467–469 (2004).
[Crossref]

Salomon, L.

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, 1110–1117 (2001).
[Crossref] [PubMed]

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 (1–8) (2003).
[Crossref]

Schatz, G.C.

L. Yin, V.K. Vlasko-Vlasov, A. Rydh, J. Pearson, U. Welp, S.-H. Chang, S.K. Gray, G.C. Schatz, D.E. Brown, and C.W. Kimball, “Surface plasmons at single nanoholes in Au films,” Appl. Phys. Lett. 85, 467–469 (2004).
[Crossref]

K.L. Kelly, E. Coronado, L.L. Zhao, and G.C. Schatz, “The optical properties of metal nanoparticles: The influence of size, shape, and dielectric environment,” J. Phys. Chem. B 107, 668–677 (2003).
[Crossref]

Shi, S.

Steele, J. M.

J. M. Steele, C.E. Moran, A. Lee, C.M. Aguirre, and N.J. Halas, “Metallodielectric gratings with subwavelength slots: Optical properties,” Phys Rev. B 68, 205103(1–7) (2003).
[Crossref]

Sutherland, D.

J. Prikulis, P. Hanarp, L. Olofsson, D. Sutherland, and M. Kall, “Optical spectroscopy of nanometric holes in thin gold films,” Nano Lett. 4, 1003–2007 (2004).
[Crossref]

Taflove, A.

A. Taflove and S.C. Hagness, Computational Electrodynamics: The Finite-difference Time-Domain Method, Second Edition, (Artech House, Boston, 2000).

Thio, T.

H.J. Lezec and T. Thio, “Diffracted evanescent wave model for enhanced and suppressed optical transmission through subwavelength hole arrays,” Opt. Express 12, 3629–3651 (2004), http://www.opticsexpress.org/abstract.cfm?URI=OPEX-12-16-3629
[Crossref] [PubMed]

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

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

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

Treacy, M.M.J.

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

van Exter, M.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]

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 (1–8) (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 (1–8) (2003).
[Crossref]

Vlasko-Vlasov, V.K.

L. Yin, V.K. Vlasko-Vlasov, A. Rydh, J. Pearson, U. Welp, S.-H. Chang, S.K. Gray, G.C. Schatz, D.E. Brown, and C.W. Kimball, “Surface plasmons at single nanoholes in Au films,” Appl. Phys. Lett. 85, 467–469 (2004).
[Crossref]

Wannemacher, R.

R. Wannemacher, “Plasmon-supported transmission of light through nanometric holes in metallic thin films,” Opt. Commun. 195, 107–118 (2001).
[Crossref]

Weber, H.J.

G.B. Arfken and H.J. Weber, Mathematical Methods for Physicists, (Academic Press, New York, 1995).

Welp, U.

L. Yin, V.K. Vlasko-Vlasov, A. Rydh, J. Pearson, U. Welp, S.-H. Chang, S.K. Gray, G.C. Schatz, D.E. Brown, and C.W. Kimball, “Surface plasmons at single nanoholes in Au films,” Appl. Phys. Lett. 85, 467–469 (2004).
[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]

Wolff, P.A.

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

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

Yamamoto, N.

A. Degiron, H.J. Lezec, N. Yamamoto, and T.W. Ebbesen “Optical transmission properties of a single subwavelength aperture in a real metal,” Opt. Commun. 239, 61–66 (2004).
[Crossref]

Yin, L.

L. Yin, V.K. Vlasko-Vlasov, A. Rydh, J. Pearson, U. Welp, S.-H. Chang, S.K. Gray, G.C. Schatz, D.E. Brown, and C.W. Kimball, “Surface plasmons at single nanoholes in Au films,” Appl. Phys. Lett. 85, 467–469 (2004).
[Crossref]

Zayats, A.V.

S.A. Darmanyan 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(1–7) (2003).
[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, 1110–1117 (2001).
[Crossref] [PubMed]

Zhang, S.

W. Fan, S. Zhang, B. Minhas, K.J. Malloy, and R.J. Brueck, “Enhanced infrared transmission through subwavelength coaxial metallic arrays,” Phys. Rev. Lett. 94, 033902(1–4) (2005).
[Crossref] [PubMed]

Zhao, L.L.

K.L. Kelly, E. Coronado, L.L. Zhao, and G.C. Schatz, “The optical properties of metal nanoparticles: The influence of size, shape, and dielectric environment,” J. Phys. Chem. B 107, 668–677 (2003).
[Crossref]

Appl. Optics (1)

R.D. Grober, T. Rutherford, and T.D. Harris, “Model approximation for the electromagnetic field of a near-field optical probe,” Appl. Optics 19, 3488–3495 (1996).
[Crossref]

Appl. Phys. Lett. (2)

L. Yin, V.K. Vlasko-Vlasov, A. Rydh, J. Pearson, U. Welp, S.-H. Chang, S.K. Gray, G.C. Schatz, D.E. Brown, and C.W. Kimball, “Surface plasmons at single nanoholes in Au films,” Appl. Phys. Lett. 85, 467–469 (2004).
[Crossref]

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

IEEE Ant. and Prop. Mag. (1)

G. Guiffaut and K. Mahdjoubi, “A parallel FDTD Algorithm using the MPI library,” IEEE Ant. and Prop. Mag. 43, 94–103 (2001).
[Crossref]

J. Opt. Soc. Am. A (1)

J. Opt. Soc. Am. B (1)

J. Phys. Chem. B (1)

K.L. Kelly, E. Coronado, L.L. Zhao, and G.C. Schatz, “The optical properties of metal nanoparticles: The influence of size, shape, and dielectric environment,” J. Phys. Chem. B 107, 668–677 (2003).
[Crossref]

Nano Lett. (1)

J. Prikulis, P. Hanarp, L. Olofsson, D. Sutherland, and M. Kall, “Optical spectroscopy of nanometric holes in thin gold films,” Nano Lett. 4, 1003–2007 (2004).
[Crossref]

Nature (1)

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

Opt. Commun. (4)

R. Wannemacher, “Plasmon-supported transmission of light through nanometric holes in metallic thin films,” Opt. Commun. 195, 107–118 (2001).
[Crossref]

A. Degiron, H.J. Lezec, N. Yamamoto, and T.W. Ebbesen “Optical transmission properties of a single subwavelength aperture in a real metal,” Opt. Commun. 239, 61–66 (2004).
[Crossref]

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

Opt. Express (1)

Philips Res. Rep. (1)

C.J. Bouwkamp, “On Bethe’s theory of diffraction by small holes,” Philips Res. Rep. 5, 321–332 (1950).

Phys Rev. B (1)

J. M. Steele, C.E. Moran, A. Lee, C.M. Aguirre, and N.J. Halas, “Metallodielectric gratings with subwavelength slots: Optical properties,” Phys Rev. B 68, 205103(1–7) (2003).
[Crossref]

Phys. Rev. (2)

U. Fano, “Effects of Configuration Interaction on Intensities and Phase Shifts,” Phys. Rev. 124, 1866–1878 (1961).
[Crossref]

H.A. Bethe, “Theory of diffraction by small holes,” Phys. Rev. 66, 163–182 (1944).
[Crossref]

Phys. Rev. B (5)

S.A. Darmanyan 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(1–7) (2003).
[Crossref]

S.K. Gray and T. Kupka, “Propagation of light in metallic nanowire arrays: Finite-difference time-domain results for silver cylinders,” Phys. Rev. B 68, 045415(1–11) (2003).
[Crossref]

P.B. Johnson and R.W. Christy, “Optical constants of the noble metals,” Phys. Rev. B 6, 4370–4379 (1972).
[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 (1–8) (2003).
[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]

Phys. Rev. Lett. (4)

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, 1110–1117 (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 sub-wavelength holes in a metal film,” Phys. Rev. Lett. 92, 107401(1–4) (2004).
[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, 057403(1–4) (2002).
[Crossref] [PubMed]

W. Fan, S. Zhang, B. Minhas, K.J. Malloy, and R.J. Brueck, “Enhanced infrared transmission through subwavelength coaxial metallic arrays,” Phys. Rev. Lett. 94, 033902(1–4) (2005).
[Crossref] [PubMed]

Other (6)

C. F. Bohren and D. R. Huffman, Absorption and Scattering of Light by Small Particles, Second Edition (Wiley, New York, 1983) p. 344.

J.D. Jackson, Classical Electrodynamics, Second Edition (Wiley, New York, 1975) pp. 438–441.

G.B. Arfken and H.J. Weber, Mathematical Methods for Physicists, (Academic Press, New York, 1995).

A. Taflove and S.C. Hagness, Computational Electrodynamics: The Finite-difference Time-Domain Method, Second Edition, (Artech House, Boston, 2000).

H. Raether, Surface Plasmons on Smooth and Rough Surfaces and on Gratings, (Springer-Verlag, New York, 1988).

Focus Issue: Extraordinary light transmission through sub-wavelength structured surfaces, Opt. Express12, pp. 3618–3706 (2004), http://www.opticsexpress.org/abstract.cfm?URI=OPEX-12-16-3618
[PubMed]

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Figures (10)

Fig. 1.
Fig. 1.

Time-averaged |Ex |2 for an isolated d=200 nm diameter nanohole in a 100 nm thick gold film on top of a glass layer: (a) z=4 nm, x-y profile; (b) x-z cut for y=0 of result in (a); (c) same as (b) but for the case of no hole present; (d) result of subtracting the amplitudes in (b) and (c) and taking the absolute square of the result. The field shown is the Fourier transform at incident wavelength λ=532 nm of our FDTD result.

Fig. 2.
Fig. 2.

Profiles of scaled field components, Ex′=Ex kspp /() and Ez ′=Ez/A, along the incident polarization direction (x with y=0) just above (z=4 nm) the metal film. Symbols are the FDTD results and curves correspond to the Bessel function fits described in the text.

Fig. 3.
Fig. 3.

Comparison of theoretically estimated NSOM signal (solid red symbols) with the total intensity (dashed black line) and the intensity of parallel electric field component (solid blue line) on the metal surface of a single nanohole.

Fig. 4.
Fig. 4.

Transmission spectrum of a single d=200 nm nanohole in a 100 nm thick metal film on glass, treating the metal as gold (solid curve) and as a perfect electrical conductor (dashed curve). The metal film is sandwiched between glass and air, with the light incident from the glass side.

Fig. 5.
Fig. 5.

Transmission spectra for 2-D periodic square arrays of d=200 nm nanoholes with square lattice spacing D=600 nm in a 100 nm thickmetal film. (a) Treating the metal film as gold. (b) Treating the metal film as a PEC.

Fig. 6.
Fig. 6.

| Ez |2 for the 2-D square hole array in a gold film of Fig. 5(a). (a)(f) correspond to λ=610 nm, 620 nm, …, 660 nm.

Fig. 7.
Fig. 7.

| Ex |2 for the 2-D hole array in the gold film of Fig. 5(a). (a)–(f) correspond to λ=610 nm, 620 nm, …, 660 nm.

Fig. 8.
Fig. 8.

|Ez |2 for the 2D hole array in (a) gold and (b) PEC films at wavelength 600 nm. The contrast has been increased by a factor of 3 comparing to other figures in order to show the weak Wood’s anomaly features.

Fig. 9.
Fig. 9.

Multiple resonance Fano model fit (solid curve) to the FDTD transmission data (symbols) for the 2D array of holes in a gold film.

Fig. 10.
Fig. 10.

Charge distribution of the (1,0)air mode at (a) the transmission minimum, and (b) the transmission maximum.

Equations (9)

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

ε A u ( ω ) = ε ω D 2 ω 2 + i γ D ω
T ( λ ) = [ T tot ( λ ) T film ( λ ) ] ( I i n c π a 2 ) ,
k S P P ω c ( ε A u ε d ε A u + ε d ) 1 2
E S P P A ( z ̂ i α k S P P ρ ̂ ) H 1 ( 1 ) ( k S P P ρ ) cos ( φ ) exp ( α z ) exp ( i ω t ) ,
H m ( 1 ) ( k S P P ρ ) = J m ( k S P P ρ ) + i Y m ( k S P P ρ ) .
H m ( 1 ) ( k S P P ρ ) ( 2 π k S P P ρ ) 1 2 exp ( i k S P P ρ ) exp ( i 2 m + 1 4 π )
λ S P P = D ( n x 2 + n y 2 ) 1 2 ( ε A u ε d ε A u + ε d ) 1 2
T Fano ( ω ) T b = T a ( ε + q ) 2 1 + ε 2 , ε = ω ω r γ r 2 .
T multiple ( ω ) T b = T a ( 1 + Σ r q r ε r ) 2 1 + ( Σ r ε r 1 ) 2

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