About this Journal Submit a Manuscript Table of Contents
International Journal of Optics
Volume 2012 (2012), Article ID 901970, 10 pages
http://dx.doi.org/10.1155/2012/901970
Research Article

Diffraction of Light by a Two-Dimensional Lattice of Spheres

1Département de Mathématiques et de Statistique, Université de Moncton, Moncton, NB, Canada E1A 3E9
2Department of Physics, Concordia University, 7141 Sherbrooke West, SP 367.03, Montréal, QC, Canada H4B 1R6

Received 20 March 2012; Revised 29 May 2012; Accepted 30 May 2012

Academic Editor: Vittorio M. N. Passaro

Copyright © 2012 Bernard de Dormale and Vo-Van Truong. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. U. Kreibig and M. Vollmer, Optical Properties of Metal Clusters, Springer Series in Materials Science, Springer, Berlin, Germany, 1995.
  2. C. G. Granqvist and O. Hunderi, “Selective absorption of solar energy in granular metals: the role of particle shape,” Applied Physics Letters, vol. 32, no. 12, pp. 798–800, 1978.
  3. S. Nonaka, T. Suda, and H. Oda, “Typical characteristics of optical thin film filters with metallic nanoparticles,” Japanese Journal of Applied Physics, vol. 41, pp. 4538–4546, 2002.
  4. P. Yang, H. Portalès, and M.-P. Pileni, “Ability to discern the splitting between longitudinal and transverse plasmon resonances in Au compared to Ag nanoparticles in close-packed planar arrays,” Physical Review B, vol. 81, no. 20, Article ID 205405, 1 pages, 2010. View at Publisher · View at Google Scholar · View at Scopus
  5. T. Yamaguchi, S. Yoshida, and A. Kinbara, “Effect of the dipole interaction between island particles on the optical properties of an aggregated silver film,” Thin Solid Films, vol. 13, no. 2, pp. 261–264, 1972. View at Scopus
  6. V. V. Truong and G. D. Scott, “Optical constants of aggregated gold films,” Journal of the Optical Society of America, vol. 66, no. 2, pp. 124–131, 1976. View at Scopus
  7. C. G. Granqvist and O. Hunderi, “Optical properties of Ag-SiO2 cermet films: a comparison of effective-medium theories,” Physical Review B, vol. 18, no. 6, pp. 2897–2906, 1978. View at Publisher · View at Google Scholar · View at Scopus
  8. V. V. Truong and G. D. Scott, “Optical properties of aggregated noble metal films,” Journal of the Optical Society of America, vol. 67, no. 4, pp. 502–510, 1977. View at Publisher · View at Google Scholar
  9. P. A. Bobbert, J. Vlieger, and R. Greef, “Light reflection from a substrate sparsely seeded with spheres—comparison with an ellipsometric experiment,” Physica A, vol. 147, no. 1-2, pp. 243–257, 1986. View at Scopus
  10. G. Bosi, “Retarded treatment of substrate-related effects on granular films. I. Polarizability of a single sphere,” Physica A, vol. 190, no. 3-4, pp. 375–392, 1992. View at Scopus
  11. B. T. Draine and P. J. Flatau, “Diserete-dipole approximation for periodic targets: theory and tests,” Journal of the Optical Society of America A, vol. 25, no. 11, pp. 2693–2703, 2008. View at Publisher · View at Google Scholar · View at Scopus
  12. P. W. Barber and S. C. Hill, Light Scattering by Particles: Computational Methods, World Scientific, Singapore, 1990.
  13. S. D. Wu and E. N. Glytsis, “Finite-number-of-periods holographic gratings with finite-width incident beams: analysis using the finite-difference frequency-domain method,” Journal of the Optical Society of America A, vol. 19, no. 10, pp. 2018–2029, 2002. View at Publisher · View at Google Scholar
  14. B. M. de Dormale, “Interaction of light with a lattice of dipoles: a new approach,” Canadian Journal of Physics, vol. 74, no. 1-2, pp. 43–48, 1996.
  15. B. M. de Dormale, “Interaction of light with a lattice of dipoles: substrate-related effects,” Canadian Journal of Physics, vol. 74, no. 9-10, pp. 603–607, 1996.
  16. V. V. Truong and B. de Dormale, “Optical absorption in overcoats of nanoparticle arrays on a metallic substrate,” Plasmonics, vol. 6, no. 2, pp. 195–200, 2011. View at Publisher · View at Google Scholar
  17. F. Borghese, P. Denti, G. Toscano, and O. I. Sindoni, “An addition theorem for vector Helmholtz harmonics,” Journal of Mathematical Physics, vol. 21, no. 12, pp. 2754–2755, 1980, The notation T11+sm(r^) is used in this reference instead of Xlms(θ,ϕ). View at Publisher · View at Google Scholar
  18. B. M. de Dormale, “Some new formulas for multipole field calculations,” Canadian Journal of Physics, vol. 74, no. 9-10, pp. 608–613, 1996.
  19. J. D. Jackson, Classical Electrodynamics, John Wiley & Sons, New York, NY, USA, 2nd edition, 1975.
  20. J. Bosi, “Optical response of a thin film of spherical particles on a dielectric substrate: retarded multipolar treatment,” Journal of the Optical Society of America B, vol. 11, pp. 1073–1083, 1994.
  21. M. Born and E. Wolf, Principles of Optics, Pergamon Press, Oxford, UK, 6th edition, 1980.
  22. J. M. Ziman, Principles of The Theory of Solids, Cambridge University Press, Cambridge, UK, 2nd edition, 1972.