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Journal of the Optical Society of America B

Journal of the Optical Society of America B

| OPTICAL PHYSICS

  • Editor: Henry van Driel
  • Vol. 28, Iss. 6 — Jun. 1, 2011
  • pp: 1446–1458

Characterization of complex plasmonic modes in two-dimensional periodic arrays of metal nanospheres

Ana L. Fructos, Salvatore Campione, Filippo Capolino, and Francisco Mesa  »View Author Affiliations


JOSA B, Vol. 28, Issue 6, pp. 1446-1458 (2011)
http://dx.doi.org/10.1364/JOSAB.28.001446


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Abstract

Two-dimensional periodic arrays of noble metal nanospheres support a variety of optical phenomena, including bound and leaky modes of several types. The scope of this paper is the characterization of the modal dispersion diagrams of planar arrays of silver nanospheres, with the ability to follow individual modal evolutions. The metal spherical nanoparticles are described using the single dipole approximation technique by including all the retarded dynamic field terms. Polarizability of the nanospheres is provided by the Mie theory. Dispersion diagrams for both physical and nonphysical modes are shown for a square lattice of Ag nanospheres for the case of lossless and lossy metal particles, with dipole moments polarized along the x, y, and z directions. Though an array with one set of parameters has been studied, the analysis method and classification are general. The evolution of modes through different Riemann sheets and analysis of guidance and radiation are studied in detail.

© 2011 Optical Society of America

OCIS Codes
(260.2110) Physical optics : Electromagnetic optics
(160.3918) Materials : Metamaterials
(250.5403) Optoelectronics : Plasmonics

ToC Category:
Materials

History
Original Manuscript: February 14, 2011
Manuscript Accepted: March 16, 2011
Published: May 19, 2011

Citation
Ana L. Fructos, Salvatore Campione, Filippo Capolino, and Francisco Mesa, "Characterization of complex plasmonic modes in two-dimensional periodic arrays of metal nanospheres," J. Opt. Soc. Am. B 28, 1446-1458 (2011)
http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-28-6-1446


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References

  1. P. K. Aravind and H. Metiu, “The effects of the interaction between resonances in the electromagnetic response of a sphere-plane structure; applications to surface enhanced spectroscopy,” Surf. Sci. 506–528 (1983). [CrossRef]
  2. Y. Saito and P. Verma, “Imaging and spectroscopy through plasmonic nano-probe,” Eur. Phys. J. Appl. Phys. 46, 20101 (2009). [CrossRef]
  3. C. Li, Y. Liu, L. Li, Z. Du, S. Xu, M. Zhang, X. Yin, and T. Wang, “A novel amperometric biosensor based on NiO hollow nanospheres for biosensing glucose,” Talanta 77, 455–459 (2008). [CrossRef] [PubMed]
  4. R. Gordon, D. Sinton, K. L. Kavanagh, and A. G. Brolo, “A new generation of sensors based on extraordinary optical transmission,” Acc. Chem. Res. 41, 1049–1057 (2008). [CrossRef] [PubMed]
  5. A. Alú, A. Salandrino, and N. Engheta, “Negative effective permeability and left-handed materials at optical frequencies,” Opt. Express 14, 1557–1567 (2006). [CrossRef] [PubMed]
  6. A. Alú and N. Engheta, “Negative refraction in infrared and visible domains,” in Theory and Phenomena of Metamaterials, F.Capolino, ed. (CRC Press, 2009), Chap. 23.
  7. E. V. Ponizovskaya and A. M. Bratkovsky, “Ensembles of plasmonic nanospheres at optical frequencies and a problem of negative index behavior,” Appl. Phys. A 87, 175–179(2007). [CrossRef]
  8. A. Alú and N. Engheta, “Dynamical theory of artificial optical magnetism produced by rings of plasmonic nanoparticles,” Phys. Rev. B 78, 085112 (2008). [CrossRef]
  9. A. Vallecchi, S. Steshenko, and F. Capolino, “Artificial magnetism at optical frequencies in composite materials made of particles with pairs of tightly coupled metallic nanospheres,” presented at the 2008 URSI General Assembly, Chicago, Illinois, 11–16 Aug. 2008.
  10. S. Steshenko, A. Vallecchi, and F. Capolino, “Electric and magnetic resonances in arrays with elements made of tightly coupled silver nanospheres,” presented at Metamaterials 2008, Pamplona, Spain, 21–26 Sept. 2008.
  11. A. Vallecchi and F. Capolino, “Metamaterials based on pairs of tightly coupled scatterers,” in Theory and Phenomena of Metamaterials, F.Capolino, ed. (CRC Press, 2009), Chap. 19. [CrossRef]
  12. C. R. Simovski, S. A. Tretyakov, and A. J. Viitanen, “Subwavelength imaging in a superlens of plasmon nanospheres,” Tech. Phys. Lett. 33, 264–266 (2007). [CrossRef]
  13. C. R. Simovski, A. J. Viitanen, and S. A. Tretyakov, “Subwavelength imaging and resolution by two linear chains of plasmonic particles,” in Proceedings of the 2007 IEEE Antennas and Propagation Society International Symposium (IEEE, 2007), pp. 4344–4347.
  14. S. Steshenko, F. Capolino, S. Tretyakov, and C. R. Simovski, “Super-resolution and near-field enhancement with layers of resonant arrays of nanoparticles,” in Applications of Metamaterials, F.Capolino, ed. (CRC Press, 2009), Chap. 4.
  15. S. Steshenko, F. Capolino, P. Alitalo, and S. Tretyakov, “Effective model and investigation of the near-field enhancement and subwavelength imaging properties of multilayer arrays of plasmonic nanospheres,” Phys. Rev. E (to be published).
  16. P. Alitalo, C. Simovski, A. Viitanen, and S. Tretyakov, “Near-field enhancement and subwavelength imaging in the optical region using a pair of two-dimensional arrays of metal nanospheres,” Phys. Rev. B 74, 235425 (2006). [CrossRef]
  17. C. R. Simovski, A. J. Viitanen, and S. A. Tretyakov, “Sub-wavelength resolution in linear arrays of plasmonic particles,” J. Appl. Phys. 101, 123102 (2007). [CrossRef]
  18. C. Mateo-Segura, C. R. Simovski, G. Goussetis, and S. Tretyakov, “Subwavelength resolution for horizontal and vertical polarization by coupled arrays of oblate nanoellipsoids,” Opt. Lett. 34, 2333–2335 (2009). [CrossRef] [PubMed]
  19. R. A. Shore and A. D. Yaghjian, “Traveling waves on two- and three-dimensional periodic arrays of lossless magnetodielectric spheres,” presented at EuCAP 2006, Nice, France, 6–10 Nov. 2006.
  20. R. A. Shore and A. D. Yaghjian, “Traveling waves on two- and three-dimensional periodic arrays of lossless scatterers,” Radio Sci. 42, RS6S21 (2007). [CrossRef]
  21. R. Shore and A. Yaghjian, “Complex waves on 1D, 2D, and 3D periodic arrays of lossy and lossless magnetodielectric spheres,” In-house report, AFRL-RY-HS-TR-2010-0019 (Air Force Research Laboratory, 2010).
  22. G. Gantzounis, N. Stefanou, and V. Yannopapas, “Optical properties of a periodic monolayer of metallic nanospheres on a dielectric waveguide,” J. Phys. Condens. Matter 17, 1791–1802 (2005). [CrossRef]
  23. Y. R. Zhen, K. H. Fung, and C. T. Chan, “Collective plasmonic modes in two-dimensional periodic arrays of metal nanoparticles,” Phys. Rev. B 78, 035419 (2008). [CrossRef]
  24. S. A. Maier and H. A. Atwater, “Plasmonics: localization and guiding of electromagnetic energy in metal/dielectric structures,” J. Appl. Phys. 98, 011101 (2005). [CrossRef]
  25. Y. Guo and R. Xu, “Planar metamaterials supporting multiple left-handed modes,” PIER 66, 239–251 (2006). [CrossRef]
  26. C. Hsu and H. H. Liu, “Optical behaviours of two dimensional Au nanoparticle arrays within porous anodic alumina,” J. Phys. Conf. Ser. 61, 440–444 (2007). [CrossRef]
  27. N. Félidj, J. Aubard, and G. Lévi, “Enhanced substrate-induced coupling in two-dimensional gold nanoparticle arrays,” Phys. Rev. B 66, 245407 (2002). [CrossRef]
  28. C. L. Holloway, E. F. Kuester, J. Baker-Jarvis, and P. Kabos, “A double negative (DNG) composite medium composed of magnetodielectric spherical particles embedded in a matrix,” IEEE Trans. Antennas Propag. 51, 2596–2603 (2003). [CrossRef]
  29. S. Steshenko and F. Capolino, “Single dipole approximation for modeling collections of nanoscatterers,” in Theory and Phenomena of Metamaterials, F.Capolino, ed. (CRC Press, 2009), Chap. 8.
  30. A. F. Koenderink and A. Polman, “Complex response and polariton-like dispersion splitting in periodic metal nanoparticle chains,” Phys. Rev. B 74, 033402 (2006). [CrossRef]
  31. A. F. Koenderink, R. de Waele, J. C. Prangsma, and A. Polman, “Experimental evidence for large dynamic effects on the plasmon dispersion of subwavelength metal nanoparticle waveguides,” Phys. Rev. B 76, 201403 (2007). [CrossRef]
  32. A. Alú and N. Engheta, “Theory of linear chains of metamaterial/plasmonic particles as subdiffraction optical nanotransmission lines,” Phys. Rev. B 74, 205436 (2006). [CrossRef]
  33. W. H. Weber and G. W. Ford, “Propagation of optical excitations by dipolar interactions in metal nanoparticle chains,” Phys. Rev. B 70, 125429 (2004). [CrossRef]
  34. S. Y. Park and D. Stroud, “Surface-plasmon dispersion relations in chains of metallic nanoparticles: an exact quasistatic calculation,” Phys. Rev. B 69, 125418 (2004). [CrossRef]
  35. R. A. Shore and A. D. Yaghjian, “Travelling electromagnetic waves on linear periodic arrays of lossless spheres,” Electron. Lett. 41, 578–580 (2005). [CrossRef]
  36. A. D. Yaghjian, “Scattering-matrix analysis of linear periodic arrays,” IEEE Trans. Antennas Propag. 50, 1050–1064(2002). [CrossRef]
  37. C. M. Linton, R. Porter, and I. Thompson, “Scattering by a semi-infinite periodic array and the excitation of surface waves,” SIAM J. Appl. Math. 67, 1233–1258 (2007). [CrossRef]
  38. D. S. Citrin, “Plasmon-polariton transport in metal-nanoparticle chains embedded in a gain medium,” Opt. Lett. 31, 98–100(2006). [CrossRef] [PubMed]
  39. A. F. Koenderink, “Plasmon nanoparticle array waveguides for single photon and single plasmon sources,” Nano Lett. 9, 4228–4233 (2009). [CrossRef] [PubMed]
  40. L. A. Sweatlock, S. A. Maier, and H. A. Atwater, “Highly confined electromagnetic fields in arrays of strongly coupled Ag nanoparticles,” Phys. Rev. B 71, 235408 (2005). [CrossRef]
  41. S. Campione and F. Capolino, “Linear and planar periodic arrays of metallic nanospheres: fabrication, optical properties and applications,” Selected Topics in Metamaterials and Photonic Crystals, A.Andreone, A.Cusano, A.Cutolo, and V.Galdi, eds. (World Scientific, in press, 2011), Chap. 5. [CrossRef]
  42. F. Capolino, D. R. Jackson, and D. R. Wilton, “Field representations in periodic artificial materials excited by a source,” Theory and Phenomena of Metamaterials, F.Capolino, ed. (CRC Press, 2009), Chap. 12. [CrossRef]
  43. C. F. Bohren and D. R. Huffman, Absortion and Scattering of Light by Small Particles (Wiley, 1983).
  44. P. Baccarelli, S. Paulotto, and C. D. Nallo, “Full-wave analysis of bound and leaky modes propagating along 2D periodic printed structures with arbitrary metallisation in the unit cell,” IET Microw. Antennas Propag. 1, 217–225 (2007). [CrossRef]
  45. F. Capolino, D. R. Wilton, and W. A. Johnson, “Efficient computation of the 3d Green’s function for the Helmholtz operator for a linear array of point sources using the Ewald method,” J. Computat. Phys. 223, 250–261 (2007). [CrossRef]
  46. L. B. Felsen and N. Marckuvitz, Radiation and Scattering of Waves (IEEE Press, 1984).
  47. F. Capolino, D. R. Jackson, and D. R. Wilton, “Fundamental properties of the field at the interface between and air a periodic artificial material excited by a line source,” IEEE Trans. Antennas Propag. 53, 91–99 (2005). [CrossRef]
  48. F. Capolino, D. R. Jackson, D. R. Wilton, and L. B. Felsen, “Comparison of methods for calculating the field excited by a dipole near a 2-D periodic material,” IEEE Trans. Antennas Propag. 55, 1644–1655 (2007). [CrossRef]
  49. P. Baccarelli, C. D. Nallo, S. Paulotto, and D. R. Jackson, “A full-wave numerical approach for modal analysis of 1-D periodic microstrip structures,” IEEE Trans. Microwave Theory Tech. 54, 1350–1362 (2006). [CrossRef]
  50. S. A. Maier, P. G. Kik, and H. A. Atwater, “Optical pulse propagation in metal nanoparticle chain waveguides,” Phys. Rev. B 67, 205402 (2003). [CrossRef]
  51. M.Abramowitz and I.A.Stegun eds., Handbook of Mathematical Functions (Dover, 1972).
  52. R. Rodríguez-Berral, F. Mesa, P. Baccarelli, and P. Burghignoli, “Excitation of a periodic microstrip line by an aperiodic delta-gap source,” IEEE Antennas Wirel. Propag. Lett. 8, 641–644 (2009). [CrossRef]
  53. I. El-Kady, M. M. Sigalas, R. Biswas, K. M. Ho, and C. M. Soukoulis, “Metallic photonic crystals at optical wavelengths,” Phys. Rev. B 62, 15299–15302 (2000). [CrossRef]
  54. K. E. Jordan, G. E. Richter, and P. Sheng, “An efficient numerical evaluation of the Green’s function for the Helmholtz operator in periodic structures,” J. Comp. Phys. 63, 222–235(1986). [CrossRef]
  55. F. T. Celepcikay, D. R. Wilton, D. R. Jackson, and F. Capolino, “Choosing splitting parameters and summation limits in the numerical evaluation of 1-D and 2-D periodic Green’s functions using the Ewald method,” Radio Sci. 43, RS6S01(2008). [CrossRef]

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