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Optics Letters

Optics Letters


  • Editor: Alan E. Willner
  • Vol. 37, Iss. 3 — Feb. 1, 2012
  • pp: 416–418

Solution of large-scale plasmonic problems with the multilevel fast multipole algorithm

M. G. Araújo, J. M. Taboada, J. Rivero, D. M. Solís, and F. Obelleiro  »View Author Affiliations

Optics Letters, Vol. 37, Issue 3, pp. 416-418 (2012)

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A surface integral equation together with the multilevel fast multipole algorithm is successfully applied to fast and accurate resolution of plasmonic problems involving a large number of unknowns. The absorption, scattering, and extinction efficiencies of several plasmonic gold spheres of increasing size are efficiently obtained solving the electric and magnetic current combined-field integral equation. The numerical predictions are compared with reference analytic results to demonstrate the accuracy, suitability, and capabilities of this approach when dealing with large-scale plasmonic problems.

© 2012 Optical Society of America

OCIS Codes
(000.4430) General : Numerical approximation and analysis
(260.2110) Physical optics : Electromagnetic optics
(260.3910) Physical optics : Metal optics
(290.2200) Scattering : Extinction

ToC Category:
Physical Optics

Original Manuscript: September 30, 2011
Revised Manuscript: December 13, 2011
Manuscript Accepted: December 13, 2011
Published: February 1, 2012

M. G. Araújo, J. M. Taboada, J. Rivero, D. M. Solís, and F. Obelleiro, "Solution of large-scale plasmonic problems with the multilevel fast multipole algorithm," Opt. Lett. 37, 416-418 (2012)

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  1. S. A. Maier and H. A. Atwater, J. Appl. Phys. 98, 011101 (2005). [CrossRef]
  2. S. A. Maier, Plasmonics: Fundamentals and Applications (Springer, 2007).
  3. S. Kawata ed., Near-Field Optics and Surface Plasmon Polaritons (Springer, 2010).
  4. J. A. Shuller, E. S. Barnard, W. Cai, Y. C. Jun, J. S. White, and M. L. Brongersma, Nat. Mater. 9, 193 (2010). [CrossRef]
  5. J. Dorfmüller, R. Vogelgesang, W. Khunsin, C. Rockstuhl, C. Etrich, and K. Kern, Nano Lett. 10, 3596 (2010). [CrossRef]
  6. R. F. Harrington, Field Computation by Moment Method (IEEE Press, 1993).
  7. P. Ylä-Oijala and M. Taskinen, IEEE Trans. Antennas Propag. 53, 1168 (2005).
  8. J. Rivero, J. M. Taboada, L. Landesa, F. Obelleiro, and I. García-Tuñón, Opt. Express 18, 15876 (2010). [CrossRef]
  9. J. M. Taboada, J. Rivero, F. Obelleiro, M. G. Araújo, and L. Landesa, J. Opt. Soc. Am. A 28, 1341 (2011). [CrossRef]
  10. R. Coifman, V. Rokhlin, and S. Wanzura, IEEE Antennas Propag. Mag. 35, 7 (1993). [CrossRef]
  11. J. M. Song and W. C. Chew, Microw. Opt. Technol. Lett. 10, 14 (1995). [CrossRef]
  12. J. Song, C.-C. Lu, and W. C. Chew, IEEE Trans. Antennas Propag. 45, 1488 (1997). [CrossRef]
  13. J. M. Taboada, L. Landesa, F. Obelleiro, J. L. Rodríguez, J. M. Bértolo, M. G. Araújo, J. C. Mouriño, and A. Gomez, IEEE Antennas Propag. Mag. 51, 20 (2009). [CrossRef]
  14. Ö. Ergül and L. Gürel, IEEE Trans. Antennas Propag. 57, 1740 (2009).
  15. M. G. Arañjo, J. M. Taboada, F. Obelleiro, J. M. Bértolo, L. Landesa, J. Rivero, and J. L. Rodríguez, Prog. Electromagn. Res. 101, 241 (2010). [CrossRef]
  16. J. M. Taboada, M. G. Araújo, J. M. Bértolo, L. Landesa, F. Obelleiro, and J. L. Rodríguez, Prog. Electromagn. Res. 105, 15 (2010). [CrossRef]
  17. P. Ylä-Oijala, M. Taskinen, and S. Järvenpää, Radio Sci. 40, RS6002 (2005). [CrossRef]
  18. S. M. Rao, D. R. Wilton, and A. W. Glisson, IEEE Trans. Antennas Propag. 30, 409 (1982). [CrossRef]
  19. W. C. Chew, J.-M. Jin, E. Michielssen, and J. Song, Fast and Efficient Algorithms in Computational Electromagnetics (Artech House, 2001).
  20. M. G. Araújo, J. M. Taboada, J. Rivero, and F. Obelleiro, Prog. Electromagn. Res. 118, 425 (2011). [CrossRef]
  21. P. B. Johnson and R. W. Christy, Phys. Rev. B 6, 4370 (1972). [CrossRef]
  22. C. F. Bohren and D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, 1983).
  23. A. Ishimaru, Electromagnetic Wave Propagation, Radiation and Scattering (Prentice-Hall, 1991).
  24. Y. Saad and M. Schultz, SIAM J. Sci. Statist. Comput. 7 (1986). [CrossRef]

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