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Journal of the Optical Society of America B

Journal of the Optical Society of America B


  • Vol. 13, Iss. 7 — Jul. 1, 1996
  • pp: 1499–1509

Propagation and localization of a surface plasmon polariton on a finite grating

François Pincemin and Jean-Jacques Greffet  »View Author Affiliations

JOSA B, Vol. 13, Issue 7, pp. 1499-1509 (1996)

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The propagation of a surface plasmon polariton along a finite grating is studied numerically. It is shown that there is a forbidden band of frequencies. The transmittivity of the system exhibits oscillations that are attributed to finite size effects. We also investigate the properties of acceptor defects, which produce localized states. The excitation of these modes yields a peak of the transmittivity within the gap and an enhancement of the near field. Finally, we study the transmittivity and the near field for random gratings that are periodic on average. We observe that the gap width decreases. In addition, we show that the reflectivity of the finite grating increases when the length of the finite grating increases for a frequency out of the gap but close to the band edge. This behavior indicates the presence of Anderson localization.

© 1996 Optical Society of America

François Pincemin and Jean-Jacques Greffet, "Propagation and localization of a surface plasmon polariton on a finite grating," J. Opt. Soc. Am. B 13, 1499-1509 (1996)

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  1. E. Yablonovitch, "Photonic band-gap structures," J. Opt. Soc. Am. B 10, 283–295 (1993).
  2. H. Raether, Surface Plasmons on Smooth and Rough Surfaces and on Gratings (Springer-Verlag, Berlin, 1988).
  3. A. A. Maradudin, in Surface Polaritons, V. M. Agranovich and D. L. Mills, eds. (North-Holland, Amsterdam, 1982), pp. 405–510.
  4. F. Pincemin, A. Sentenac, and J.-J. Greffet, "Near field scattered by a dielectric rod below a metal surface," J. Opt. Soc. Am. A 11, 1117–1127 (1994).
  5. F. Pincemin, A. A. Maradudin, A. D. Boardman, and J.-J. Greffet, "Scattering of a surface plasmon polariton by a surface defect," Phys. Rev. B 50, 15,261–15,275 (1994).
  6. K. Arya, B. Z. Su, and J. L. Birman, "Localization of the surface plasmon polariton caused by random roughness and its role in surface-enhanced optical phenomena," Phys. Rev. Lett. 54, 1559–1561 (1985).
  7. A. R. McGurn, A. A. Maradudin, and V. Celli, "Localization effects in the scattering of light from a randomly rough grating," Phys. Rev. B 31, 4866–4871 (1985).
  8. S. John, in Scattering and Localization of Classical Waves in Random Media, P. Sheng, ed. (World Scientific, Singapore, 1990), pp. 1–97.
  9. M. Saillard, "Numerical evidence of Anderson localization for electromagnetic surface waves," Opt. Commun. 96, 1–7 (1993).
  10. J. Sanchez-Gil, "Anderson localization of surface electromagnetic waves on rough, perfectly conducting surfaces that are periodic on average," Opt. Commun. (to be published).
  11. D. Sornette, L. Macon, and J. Coste, "Transfer matrix theory of leaky guided waves," J. Phys. (Paris) 49, 1683–1689 (1988).
  12. J. Sanchez-Gil and A. A. Maradudin, Department of Physics, University of California, Irvine, Calif. 92717 (personal communication).
  13. D. R. Smith, R. Dalichaouch, N. Kroll, S. Schultz, S. L. McCall, and P. M. Platzman, "Photonic band structure and defects in one and two dimensions," J. Opt. Soc. Am. B 10, 314–321 (1993).
  14. J. W. Haus, "A brief review of theoretical results for photonic band structures," J. Mod. Opt. 41, 195–207 (1994).
  15. P. R. Villeneuve and M. Piché, "Photonic bandgaps: what is the best numerical representation of periodic structures?" J. Mod. Opt. 41, 241–256 (1994).
  16. E. D. Palik, Handbook of Optical Constants of Solids (Academic, San Diego, Calif. 1985).
  17. R. Kaiser, Y. Lévy, N. Vansteenkiste, A. Aspect, W. Seifert, D. Leipold, and J. Mlynek, "Resonant enhancement of evansecent waves with a thin dielectric waveguide," Opt. Commun. 104, 234–240 (1994).
  18. A. Sentenac, F. Pincemin, and J.-J. Greffet, "Finite size effects on the scattering by a photonic band-gap structure," submitted to J. Opt. Soc. Am. B.

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