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

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Abstract

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.

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References

  1. T.W. Ebbesen, H.J. Lezec, H.F. Ghaemi, T. Thio, P.A. Wolff, Nature 391, 667 (1998)

    Article  ADS  Google Scholar 

  2. H.A. Bethe, Phys. Rev. 66, 163 (1944)

    Article  ADS  MathSciNet  Google Scholar 

  3. D.E. Grupp, H.J. Lezec, T.W. Ebbesen, K.M. Pellerin, T. Thio, Appl. Phys. Lett. 77, 1569 (2000)

    Article  ADS  Google Scholar 

  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)

    Article  ADS  Google Scholar 

  5. H.F. Ghaemi, T. Thio, D.E. Grupp, T.W. Ebbesen, H.J. Lezec, Phys. Rev. B 58, 6779 (1998)

    Article  ADS  Google Scholar 

  6. T. Thio, H.F. Ghaemi, H.J. Lezec, P.A. Wolff, T.W. Ebbesen, J. Opt. Soc. Am. B 16, 1743 (1999)

    Article  ADS  Google Scholar 

  7. E. Popov, M. Neviére, S. Enoch, R. Reinisch, Phys. Rev. B 62, 16100 (2000)

    Article  ADS  Google Scholar 

  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)

    Article  ADS  Google Scholar 

  9. L. Salomon, F. Grillot, A.V. Zayats, F. de Fornel, Phys. Rev. Lett. 86, 1110 (2001)

    Article  ADS  Google Scholar 

  10. R. Wannemacher, Opt. Commun. 195, 107 (2001)

    Article  ADS  Google Scholar 

  11. S. Chang, S.K. Gray, G.C. Schatz, Opt. Express 13, 3150 (2005)

    Article  ADS  Google Scholar 

  12. F.I. Baida, D. Van Labeke, B. Guizal, Appl. Opt. 42, 6811 (2003)

    Article  ADS  Google Scholar 

  13. J.A. Porto, F.J. García-Vidal, J.B. Pendry, Phys. Rev. Lett. 83, 2845 (1999)

    Article  ADS  Google Scholar 

  14. F.J. García-Vidal, H.J. Lezec, T.W. Ebbesen, L. Martín-Moreno, Phys. Rev. Lett. 90, 213901 (2003)

    Article  ADS  Google Scholar 

  15. S.S. Akarca-Biyikli, I. Bulu, E. Ozbay, Appl. Phys. Lett. 85, 1098 (2004)

    Article  ADS  Google Scholar 

  16. A. Taflove, S.C. Hagness, Computational Electrodynamics: The Finite-Difference Time-Domain Method, 3rd ed. (Artech House, Boston, 2005)

  17. K.S. Yee, IEEE Trans. Antennas Propag. 14, 302 (1966)

    Article  ADS  Google Scholar 

  18. S.K. Gray, T. Kupka, Phys. Rev. B 68, 45415 (2003)

    Article  ADS  Google Scholar 

  19. P.B. Johnson, R.W. Christy, Phys. Rev. B 6, 4370 (1972)

    Article  ADS  Google Scholar 

  20. D.W. Prather, S. Shi, J. Opt. Soc. Am. A 16, 1131 (1999)

    Article  ADS  Google Scholar 

  21. S.A. Cummer, IEEE Trans. Antennas Propag. 45, 392 (1997)

    Article  ADS  Google Scholar 

  22. C.F. Bohren, D.R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, New York, 1998)

    Book  Google Scholar 

  23. S.V. Kukhlevsky, M. Mechler, L. Csapó, K. Janssens, O. Samek, Phys. Rev. B 70, 195428 (2004)

    Article  ADS  Google Scholar 

  24. D.W. Lynch, W.R. Hunter, Handbook of Optical Constants of Solids, ed. by E. Palik (Academic Press, Orlando, 1985), p. 350

  25. S.V. Kukhlevsky, M. Mechler, L. Csapó, K. Janssens, O. Samek, Phys. Rev. B 72, 165421 (2005)

    Article  ADS  Google Scholar 

  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)

    Article  ADS  Google Scholar 

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Correspondence to G.C. Schatz.

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PACS

73.20.Mf; 78.20.Ci; 78.68.+m; 64.47.-n; 03.50.De

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Shuford, K., Ratner, M., Gray, S. et al. Finite-difference time-domain studies of light transmission through nanohole structures. Appl. Phys. B 84, 11–18 (2006). https://doi.org/10.1007/s00340-006-2218-x

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  • DOI: https://doi.org/10.1007/s00340-006-2218-x

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