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1 - Physics of extraordinary transmission through subwavelength hole arrays

Published online by Cambridge University Press:  01 June 2011

By
Evgeny Popov  and
Nicolas Bonod
Edited by
Alexei A. Maradudin
Evgeny Popov
Affiliation:
Aix-Marseille Université, CNRS, Unité Mixte de Recherche 6133, Domaine Universitaire de Saint Jerome, 13397 Marseille Cedex 20, France
Nicolas Bonod
Affiliation:
Aix-Marseille Université, CNRS, Unité Mixte de Recherche 6133, Domaine Universitaire de Saint Jerome, 13397 Marseille Cedex 20, France
Alexei A. Maradudin
Affiliation:
University of California, Irvine
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Summary

A brief reminder of the history of grating anomalies and plasmon surface waves

The recent history of the research and development around plasmon surface waves that was initiated by the work published in Nature in 1998 by Ebbesen et al. [1] looks like a ten-fold compressed version of studies initiated more than a century ago by Robert Wood with his discovery of anomalies in the efficiency of metallic diffraction gratings, now known as Wood's anomalies [2]. In 1902, R. Wood wrote: “I was astounded to find that under certain conditions, the drop from maximum illumination to minimum, a drop certainly from 10 to 1, occurred within a range of wavelengths not greater than the distance between the sodium lines,” an observation that marked the discovery of grating anomalies.

The first period of the search for their explanation is marked by the attempt of Lord Rayleigh [3, 4] to link Wood's anomalies to the redistribution of the energy due to the passing-off (cut-off) of higher diffraction orders of the grating (transfer from propagating into evanescent type). As pointed out by Maystre [5], his prediction was all the more remarkable as the author first ignored the groove frequency of the grating used by Wood, and thus could not verify this assumption with experimental data.

Type
Chapter
Information
Structured Surfaces as Optical Metamaterials , pp. 1 - 27
Publisher: Cambridge University Press
Print publication year: 2011

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References

[1] Ebbesen, T. W., Lezec, H. J., Ghaemi, H. F., Thio, T., and Wolff, P. A., “Extraordinary optical transmission through sub-wavelength hole arrays,” Nature 391, 667–669 (1998).CrossRefGoogle Scholar
[2] Wood, R. W., “On a remarkable case of uneven distribution of light in a diffraction grating spectrum,” Phil. Mag. 4, 396–402 (1902).CrossRefGoogle Scholar
[3] Rayleigh, Lord, “On the dynamical theory of gratings,” Proc. Roy. Soc. (London) Ser. A 79, 399–416 (1907).CrossRefGoogle Scholar
[4] Rayleigh, Lord, “Note on the remarkable case of diffraction spectra described by Prof. Wood,” Phil. Mag. 14, 60–65 (1907).CrossRefGoogle Scholar
[5] Maystre, D., “General study of grating anomalies from electromagnetic surface modes,” in Electromagnetic Surface Modes, ed. Boardman, A. D. (New York: Wiley, 1982), chap. 7.Google Scholar
[6] Fano, U., “The theory of anomalous diffraction gratings and of quasi-stationary waves on metallic surfaces (Sommerfeld's waves),” J. Opt. Soc. Am. 31, 213–222 (1941).CrossRefGoogle Scholar
[7] Hessel, A. and Oliner, A. A., “A new theory of Wood's anomalies on optical gratings,” Appl. Opt. 4, 1275–1297 (1965).CrossRefGoogle Scholar
[8] Hutley, M. C. and Maystre, D., “Total absorption of light by a diffraction grating,” Opt. Commun. 19, 431–436 (1976).CrossRefGoogle Scholar
[9] Neviére, M., Maystre, D., McPhedran, R. C., Derrick, G. H., and Hutley, M. C., “On the total absorption of unpolarized monochromatic light,” Proceedings of the ICO-11 Conference, Madrid, Spain, pp. 609–612 (1978).Google Scholar
[10] McPhedran, R. C., Derrick, G. H., and Botten, L. C., “Theory of crossed gratings,” in Electromagnetic Theory of Gratings, ed. Petit, R. (Berlin: Springer, 1980), chap. 7.Google Scholar
[11] Weitz, D. A., Gramila, T. J., Genack, A. Z., and Gersten, J. I., “Anomalous low-frequency Raman scattering from rough metal surfaces and the origin of the surface-enhanced Raman scattering,” Phys. Rev. Lett. 45, 355–358 (1980).CrossRefGoogle Scholar
[12] Reinisch, R. and Neviére, M., “Electromagnetic theory of diffraction in nonlinear optics and surface enhanced nonlinear optical effects,” Phys. Rev. B 28, 1870–1885 (1983).CrossRefGoogle Scholar
[13] Kretschmann, E., “Determination of optical constants of metals by excitation of surface plasmons,” Z. Phys. 241, 313–324 (1971).CrossRefGoogle Scholar
[14] Raether, H., Surface Plasmons on Smooth and Rough Surfaces and on Gratings (Berlin: Springer-Verlag, 1988).CrossRefGoogle Scholar
[15] Jory, M. J., Vukusic, P. S., and Sambles, J. R., “Development of a prototype gas sensor using surface plasmon resonance on gratings,” Sens. Actuators B 17, 203–209 (1994).CrossRefGoogle Scholar
[16] Schroter, U. and Heitmann, D., “Grating couplers for surface plasmons excited on thin metal films in the Kretschmann-Raether configuration,” Phys. Rev. B 60, 4992–4999 (1999).CrossRefGoogle Scholar
[17] Homola, J., Yee, S. S., and Gauglitz, G., “Surface plasmon resonance sensors: review,” Sens. Actuators. B 54, 3–15 (1999).CrossRefGoogle Scholar
[18] Ebbesen, T. W., “Des photons passe-muraille,” La Recherche 329, 50–52 (2000).Google Scholar
[19] Porto, J. A., García-Vidal, F. T., and Pendry, J. B., “Transmission resonances on metallic gratings with very narrow slits,” Phys. Rev. Lett. 83, 2845–2848 (1999).CrossRefGoogle Scholar
[20] Lalanne, P., Hugonin, J. P., Astilean, S., Palamaru, M., and Möller, K. D., “One-mode model and Airy-like formulae for one-dimensional metallic gratings,” J. Opt. A: Pure Appl. Opt. 2, 48–51 (2000).CrossRefGoogle Scholar
[21] Lopez-Rios, T., Mendoza, D., García-Vidal, F. J., Sanchez-Dehesa, J., and Pannetier, B., “Surface shape resonances in lamellar metallic gratings,” Phys. Rev. Lett. 81, 665–668 (1998).CrossRefGoogle Scholar
[22] Popov, E., Neviére, M., Enoch, S., and Reinisch, R., “Theory of light transmission through subwavelength periodic hole arrays,” Phys. Rev. B 62, 16100–16108 (2000).CrossRefGoogle Scholar
[23] Enoch, S., Popov, E., Neviére, M., and Reinisch, R., “Enhanced light transmission by hole arrays,” J. Opt. A: Pure Appl. Opt. 4, S83–S87 (2002).CrossRefGoogle Scholar
[24] Martín-Moreno, L., García-Vidal, F. J., Lezec, H. J., Pellerin, K. M., Thio, T., Pendry, J. B., and Ebbesen, T. W., “Theory of extraordinary optical transmission through subwavelength hole arrays,” Phys. Rev. Lett. 86, 1114–1117 (2001).CrossRefGoogle ScholarPubMed
[25] García-Vidal, F. J., Martín-Moreno, L., and Pendry, J. B., “Surfaces with holes in them: new plasmonic metamaterials,” J. Opt. A: Pure Appl. Opt. 7, S97–S101 (2005).CrossRefGoogle Scholar
[26] Popov, E., Neviére, M., Sentenac, A., Bonod, N., Ferrenbach, A.-L., Wenger, J., Lenne, P.-F., and Rigneault, H., “Single-scattering theory of light diffraction by a circular subwavelength aperture in a finitely conducting screen,” J. Opt. Soc. Am. A 24, 339–358 (2007).CrossRefGoogle Scholar
[27] Popov, E., Neviére, M., Wenger, J.et al., “Field enhancement in single subwavelength apertures,” J. Opt. Soc. Am. A 23, 2342–2348 (2006).CrossRefGoogle ScholarPubMed
[28] Neviére, M., Popov, E., and Reinisch, R., “Electromagnetic resonances in linear and nonlinear optics: phenomenological study of grating behavior through the poles and zeros of the scattering operator,” J. Opt. Soc. Am. A 12, 513–523 (1995).CrossRefGoogle Scholar
[29] Maystre, D. and Petit, R., “Brewster incidence for metallic gratings,” Opt. Commun. 17, 196–200 (1976).CrossRefGoogle Scholar
[30] Sarrazin, M., Vigneron, J. P., and Vigoureux, J. M., “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).CrossRefGoogle Scholar
[31] Genet, C., Exter, M. P., and Woerdman, J. P., “Fano-type interpretation of red-shifts and red-tails in hole array transmission spectra,” Opt. Commun. 225, 331–336 (2003).CrossRefGoogle Scholar
[32] Bethe, H. A., “Theory of diffraction by small holes,” Phys. Rev. 66, 163–182 (1944).CrossRefGoogle Scholar
[33] Popov, E., Bonod, N., Neviére, M., Rigneault, H., Lenne, P.-F., and Chaumet, P., “Surface plasmon excitation on a single subwavelength hole in a metallic sheet,” Appl. Opt. 44, 2332–2337 (2005).CrossRefGoogle Scholar
[34] Lezec, H. J. and Thio, T., “Diffracted evanescent wave model for enhanced and suppressed optical transmission through subwavelength hole arrays,” Opt. Express 12, 3629–3651 (2004).CrossRefGoogle ScholarPubMed
[35] Gay, G., Alloschery, O., Weiner, J., Lezec, H. J., O'Dwyer, C., Sukharev, M., and Seindeman, T., “The response of nanostructured surfaces in the near field,” Nature Phys. 2, 792 (2006).CrossRefGoogle Scholar
[36] García-Vidal, F. J., Rodrigo, S. G., and Martín-Moreno, L., “Foundations of the composite diffracted evanescent wave model,” Nature Phys. 2, 790 (2006).CrossRefGoogle Scholar
[37] Weiner, J. and Lezec, H. J., “Reply: Foundations of the composite diffracted evanescent wave model,” Nature Phys. 2, 791 (2006).CrossRefGoogle Scholar
[38] Aigouy, L., Lalanne, P., Hugonin, J. P., Juié, G., Mathet, V., and Mortier, M., “Nearfield analysis of surface waves launched at nano-slit apertures,” Phys. Rev. Lett. 98 153902(1-4) (2007).CrossRefGoogle Scholar
[39] Lalanne, P., Hugonin, J. P., Liu, H. T., and Wang, B., “A microscopic view of the electromagnetic properties of sub-wavelength metallic surfaces,” Surface Sci. Rep. 64, 453–469 (2009).CrossRefGoogle Scholar
[40] Liu, H. T. and Lalanne, P., “Microscopic theory of the extraordinary optical transmission,” Nature 452, 728–731 (2008).CrossRefGoogle ScholarPubMed

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  • Physics of extraordinary transmission through subwavelength hole arrays
    • By Evgeny Popov, Aix-Marseille Université, CNRS, Unité Mixte de Recherche 6133, Domaine Universitaire de Saint Jerome, 13397 Marseille Cedex 20, France, Nicolas Bonod, Aix-Marseille Université, CNRS, Unité Mixte de Recherche 6133, Domaine Universitaire de Saint Jerome, 13397 Marseille Cedex 20, France
  • Edited by Alexei A. Maradudin, University of California, Irvine
  • Book: Structured Surfaces as Optical Metamaterials
  • Online publication: 01 June 2011
  • Chapter DOI: https://doi.org/10.1017/CBO9780511921261.002
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  • Physics of extraordinary transmission through subwavelength hole arrays
    • By Evgeny Popov, Aix-Marseille Université, CNRS, Unité Mixte de Recherche 6133, Domaine Universitaire de Saint Jerome, 13397 Marseille Cedex 20, France, Nicolas Bonod, Aix-Marseille Université, CNRS, Unité Mixte de Recherche 6133, Domaine Universitaire de Saint Jerome, 13397 Marseille Cedex 20, France
  • Edited by Alexei A. Maradudin, University of California, Irvine
  • Book: Structured Surfaces as Optical Metamaterials
  • Online publication: 01 June 2011
  • Chapter DOI: https://doi.org/10.1017/CBO9780511921261.002
Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • Physics of extraordinary transmission through subwavelength hole arrays
    • By Evgeny Popov, Aix-Marseille Université, CNRS, Unité Mixte de Recherche 6133, Domaine Universitaire de Saint Jerome, 13397 Marseille Cedex 20, France, Nicolas Bonod, Aix-Marseille Université, CNRS, Unité Mixte de Recherche 6133, Domaine Universitaire de Saint Jerome, 13397 Marseille Cedex 20, France
  • Edited by Alexei A. Maradudin, University of California, Irvine
  • Book: Structured Surfaces as Optical Metamaterials
  • Online publication: 01 June 2011
  • Chapter DOI: https://doi.org/10.1017/CBO9780511921261.002
Available formats
×