Applied Physics B

, Volume 84, Issue 1–2, pp 11–18 | Cite as

Finite-difference time-domain studies of light transmission through nanohole structures



We present theoretical studies on the transmission of light through subwavelength, circular apertures surrounded by circular groove structures. Finite-difference time-domain equations in cylindrical coordinates are provided for both dispersive materials and electrical conductors. The nanohole systems are composed of a circular hole in a slab, that is encircled by sinusoidal grooves defined by a period and depth. Light transmission is found to be extremely sensitive to the hole size, groove period, and groove depth. We determine a set of groove parameters that optimize transmission. Enhancements in transmission by approximately a factor of four can be achieved for silver in the visible when compared to the light incident upon the hole. These results may find utility in the design of nanoscale light manipulating devices.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    T.W. Ebbesen, H.J. Lezec, H.F. Ghaemi, T. Thio, P.A. Wolff, Nature 391, 667 (1998)CrossRefADSGoogle Scholar
  2. 2.
    H.A. Bethe, Phys. Rev. 66, 163 (1944)MATHCrossRefMathSciNetADSGoogle Scholar
  3. 3.
    D.E. Grupp, H.J. Lezec, T.W. Ebbesen, K.M. Pellerin, T. Thio, Appl. Phys. Lett. 77, 1569 (2000)CrossRefADSGoogle Scholar
  4. 4.
    H.J. Lezec, A. Degiron, E. Devaux, R.A. Linke, L. Martin-Moreno, F.J. Garcia-Vidal, T.W. Ebbesen, Science 297, 820 (2002)CrossRefADSGoogle Scholar
  5. 5.
    H.F. Ghaemi, T. Thio, D.E. Grupp, T.W. Ebbesen, H.J. Lezec, Phys. Rev. B 58, 6779 (1998)CrossRefADSGoogle Scholar
  6. 6.
    T. Thio, H.F. Ghaemi, H.J. Lezec, P.A. Wolff, T.W. Ebbesen, J. Opt. Soc. Am. B 16, 1743 (1999)CrossRefADSGoogle Scholar
  7. 7.
    E. Popov, M. Neviére, S. Enoch, R. Reinisch, Phys. Rev. B 62, 16100 (2000)CrossRefADSGoogle Scholar
  8. 8.
    L. Martín-Moreno, F.J. García-Vidal, H.J. Lezec, K.M. Pellerin, T. Thio, J.B. Pendry, T.W. Ebbesen, Phys. Rev. Lett. 86, 1114 (2001)CrossRefADSGoogle Scholar
  9. 9.
    L. Salomon, F. Grillot, A.V. Zayats, F. de Fornel, Phys. Rev. Lett. 86, 1110 (2001)CrossRefADSGoogle Scholar
  10. 10.
    R. Wannemacher, Opt. Commun. 195, 107 (2001)CrossRefADSGoogle Scholar
  11. 11.
    S. Chang, S.K. Gray, G.C. Schatz, Opt. Express 13, 3150 (2005)CrossRefADSGoogle Scholar
  12. 12.
    F.I. Baida, D. Van Labeke, B. Guizal, Appl. Opt. 42, 6811 (2003)CrossRefADSGoogle Scholar
  13. 13.
    J.A. Porto, F.J. García-Vidal, J.B. Pendry, Phys. Rev. Lett. 83, 2845 (1999)CrossRefADSGoogle Scholar
  14. 14.
    F.J. García-Vidal, H.J. Lezec, T.W. Ebbesen, L. Martín-Moreno, Phys. Rev. Lett. 90, 213901 (2003)CrossRefADSGoogle Scholar
  15. 15.
    S.S. Akarca-Biyikli, I. Bulu, E. Ozbay, Appl. Phys. Lett. 85, 1098 (2004)CrossRefADSGoogle Scholar
  16. 16.
    A. Taflove, S.C. Hagness, Computational Electrodynamics: The Finite-Difference Time-Domain Method, 3rd ed. (Artech House, Boston, 2005)Google Scholar
  17. 17.
    K.S. Yee, IEEE Trans. Antennas Propag. 14, 302 (1966)MATHCrossRefADSGoogle Scholar
  18. 18.
    S.K. Gray, T. Kupka, Phys. Rev. B 68, 45415 (2003)CrossRefADSGoogle Scholar
  19. 19.
    P.B. Johnson, R.W. Christy, Phys. Rev. B 6, 4370 (1972)CrossRefADSGoogle Scholar
  20. 20.
    D.W. Prather, S. Shi, J. Opt. Soc. Am. A 16, 1131 (1999)CrossRefADSGoogle Scholar
  21. 21.
    S.A. Cummer, IEEE Trans. Antennas Propag. 45, 392 (1997)CrossRefADSGoogle Scholar
  22. 22.
    C.F. Bohren, D.R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, New York, 1998)CrossRefGoogle Scholar
  23. 23.
    S.V. Kukhlevsky, M. Mechler, L. Csapó, K. Janssens, O. Samek, Phys. Rev. B 70, 195428 (2004)CrossRefADSGoogle Scholar
  24. 24.
    D.W. Lynch, W.R. Hunter, Handbook of Optical Constants of Solids, ed. by E. Palik (Academic Press, Orlando, 1985), p. 350Google Scholar
  25. 25.
    S.V. Kukhlevsky, M. Mechler, L. Csapó, K. Janssens, O. Samek, Phys. Rev. B 72, 165421 (2005)CrossRefADSGoogle Scholar
  26. 26.
    L. Yin, V.K. Vlasko-Vlasov, A. Rydh, J. Pearson, U. Welp, S.-H. Chang, S.K. Gray, G.C. Schatz, D.B. Brown, C.W. Kimball, Appl. Phys. Lett. 85, 467 (2004)CrossRefADSGoogle Scholar

Copyright information

© Springer-Verlag 2006

Authors and Affiliations

  • K.L. Shuford
    • 1
  • M.A. Ratner
    • 1
  • S.K. Gray
    • 2
  • G.C. Schatz
    • 1
  1. 1.Department of ChemistryNorthwestern UniversityEvanstonUSA
  2. 2.Chemistry DivisionArgonne National LaboratoryArgonneUSA

Personalised recommendations