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Optics Express

Optics Express

  • Editor: Michael Duncan
  • Vol. 12, Iss. 5 — Mar. 8, 2004
  • pp: 883–894

Dynamic near-field calculations of surface-plasmon polariton pulses resonantly scattered at sub-micron metal defects

José A. Sánchez-Gil and Alexei A. Maradudin  »View Author Affiliations

Optics Express, Vol. 12, Issue 5, pp. 883-894 (2004)

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We investigate theoretically the near-field dynamics of the scattering of a surface-plasmon polariton (SPP) pulse impinging normally on a rectangular groove on an otherwise planar metal surface. Our formulation is based on solving the reduced Rayleigh equation (derived through the use of an impedance boundary condition) for every component of the spectral decomposition of the incoming SPP pulse. Numerical calculations are carried out of the time dependence of the near-field resonant scattering effects produced at the rectangular groove. The scattering process is tracked through the (time-resolved) repartition of the incoming SPP electromagnetic energy into reflected and transmitted SPP pulses, and into pulsed scattered light. Furthermore, we directly show evidence of the excitation of single resonances, as manifested by the concentration of electric field intensity within the groove, and its subsequent leakage, over the resonance lifetime. The near-field formation of oscillations caused by the interference between two adjacent resonances simultaneously excited is also considered.

© 2004 Optical Society of America

OCIS Codes
(240.6680) Optics at surfaces : Surface plasmons
(260.5740) Physical optics : Resonance
(290.5880) Scattering : Scattering, rough surfaces
(320.2250) Ultrafast optics : Femtosecond phenomena

ToC Category:
Research Papers

Original Manuscript: December 16, 2003
Revised Manuscript: February 27, 2004
Published: March 8, 2004

Jose Sanchez-Gil and Alexei Maradudin, "Dynamic near-field calculations of surface-plasmon polariton pulses resonantly scattered at sub-micron metal defects," Opt. Express 12, 883-894 (2004)

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  1. T. A. Leskova and N. I. Gapotchenko, �??Fabry-Perot type interferometer for surface polaritons: resonance effects,�?? Solid State Commun. 53, 351 (1985). [CrossRef]
  2. B. Rothenhausler and W. Knoll, �??Surface plasmon interferometry in the visible,�?? Appl. Phys. Lett. 52, 1554 (1988). [CrossRef]
  3. B. Rothenhausler and W. Knoll, �??Interferometric determination of the complex wave vector of plasmon surface polaritons,�?? J. Opt. Soc. Am. B 5, 1401 (1988). [CrossRef]
  4. 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, 15261 (1994). [CrossRef]
  5. A. V. Shchegrov, I. V. Novikov, and A. A. Maradudin, �??Scattering of surface plasmon polaritons by a circularly symmetric surface defect,�?? Phys. Rev. Lett. 78, 4269 (1997). [CrossRef]
  6. J. A. Sanchez-Gil, �??Surface defect scattering of surface plasmon polaritons: Mirrors and light emitters,�?? Appl. Phys. Lett. 73, 3509 (1998). [CrossRef]
  7. J. A. Sanchez-Gil and A. A. Maradudin, �??Near-field and far-field scattering of surface plasmon polaritons by one-dimensional surface defects,�?? Phys. Rev. B 60, 8359 (1999).
  8. T. A. Leskova, A. A. Maradudin, and W. Zierau, �??Surface plasmon polariton propagation near an index step,�?? Proc. SPIE 4100, 1 (2000). [CrossRef]
  9. Z. Schlesinger and A. J. Sievers, �??Infrared surface wave interferometry,�?? Appl. Phys. Lett. 36, 409 (1980). [CrossRef]
  10. B. Rothenh¨ausler and W. Knoll, �??On the influence of the propagation length of plasmon surface polaritons in the visible energy range for the optical characterization of heterogeneous thin films,�?? Surf. Sci. 191, 585 (1987). [CrossRef]
  11. B. Rothenhausler and W. Knoll, �??Total internal diffraction of plasmon surface polaritons,�?? Appl. Phys. Lett. 51, 783 (1987). [CrossRef]
  12. B. Rothenhausler and W. Knoll, �??Surface plasmon microscopy,�?? Nature 332, 615 (1988) [CrossRef]
  13. C. E. H. Berger, R. P. H. Koioyman, and J. Greve, �??Surface plasmon propagation near an index step,�?? Opt. Commun. 167, 183 (1999). [CrossRef]
  14. I. Smolyaninov, D. L. Mazzoni, and C. C. Davis, �??Imaging of surface plasmon scattering by lithographically created individual surface defects,�?? Phys. Rev. Lett. 78, 2823 (1997).
  15. I. I. Smolyaninov, D. L. Mazzoni, J. Mait, and C. C. Davis, �??Experimental study of surface plasmon scattering by individual surface defects,�?? Phys. Rev. B 56, 1601 (1997). [CrossRef]
  16. A. Dogariu, T. Thio, L. J. Wang, T. W. Ebbesen, and H. J. Lezec, �??Delay in light transmission through small apertures,�?? Opt. Lett. 26, 450 (2001). [CrossRef]
  17. Y.-H. Liau, S. Egusa, and N. F. Scherer, �??Ultrafast interferometric measurements of plasmonic transport in photonic crystals,�?? Opt. Lett. 27, 857 (2002). [CrossRef]
  18. J. A. Sanchez-Gil and A. A. Maradudin, �??Resonant scattering of surface-plasmon polariton pulses by nanoscale metal defects,�?? Opt. Lett. 28, 2255 (2003). [CrossRef] [PubMed]
  19. H. Raether, Surface Polaritons on Smooth and Rough Surfaces and on Gratings (Springer-Verlag, Berlin, 1988).
  20. A. A. Maradudin, �??An impedance boundary condition for a rough surface,�?? in Topics in Condensed Matter Physics, ed. M. P. Das (Nova, New York, 1994), p. 33.
  21. Note that, strictly speaking, such a linear mapping of the surface corrugation into the surface impedance on the plane may not be correct, as discussed in Ref. [7], in the case of rectangular defects, due to the influence of higher-order terms in the slope. Nonetheless, this should not affect the results for the resonant scattering process, except for, presumably, the actual position and strength of resonances.
  22. In our two-dimensional geometry, a near-field area at constant height converts into a single line; we actually merge in a single map all such line scans, from the vacuum-metal interface up to a certain, maximum height.
  23. We have verified that both resonances are decoupled by separately probing each with surface plasmon polariton pulses appropriately tuned.
  24. W. L. Barnes, A. Dereux, and T.W. Ebbesen, �??Surface plasmon sub-wavelength optics,�?? Nature 424, 824 (2003). [CrossRef] [PubMed]

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