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Plasmon tunability in metallodielectric metamaterials

Sampsa Riikonen, Isabel Romero, and F. J. García de Abajo
Phys. Rev. B 71, 235104 – Published 9 June 2005; Erratum Phys. Rev. B 73, 039901 (2006)
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  • INTRODUCTION
  • PLASMON CHEMISTRY
  • RESULTS AND DISCUSSION
  • ACKNOWLEDGEMENTS
    • References

    Abstract

    The dielectric properties of metamaterials consisting of periodically arranged metallic nanoparticles of spherical shape are calculated by rigorously solving Maxwell’s equations. Effective dielectric functions are obtained by comparing the reflectivity of planar surfaces limiting these materials with Fresnel’s formulas for equivalent homogeneous media, showing mixing and splitting of individual-particle modes due to interparticle interaction. Detailed results for simple-cubic and fcc crystals of aluminum spheres in vacuum, silver spheres in vacuum, and silver spheres in a silicon matrix are presented. The filling fraction of the metal f is shown to determine the position of the plasmon modes of these metamaterials. Significant deviations are observed with respect to Maxwell-Garnett effective-medium theory for large f, and multiple plasmons are predicted to exist in contrast to Maxwell-Garnett theory.

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    • Received 2 December 2004

    DOI:https://doi.org/10.1103/PhysRevB.71.235104

    ©2005 American Physical Society

    Erratum

    Erratum: Plasmon tunability in metallodielectric metamaterials [Phys. Rev. B 71, 235104 (2005)]

    Sampsa Riikonen, Isabel Romero, and F. J. García de Abajo
    Phys. Rev. B 73, 039901 (2006)

    Authors & Affiliations

    Sampsa Riikonen1, Isabel Romero2, and F. J. García de Abajo1,2,*

    • 1Donostia International Physics Center, Paseo Manuel de Lardizabal 4, 20018 San Sebastian, Spain
    • 2Unidad de Física de Materiales CSIC-UPV/EHU, Apartado 1072, 20080 San Sebastian, Spain

    • *Author to whom correspondence should be addressed.

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    Issue

    Vol. 71, Iss. 23 — 15 June 2005

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    Images

    • Figure 1
      Figure 1
      Plasmon chemistry in interacting nanoparticles. The nonretarded plasmon energies of two identical metallic particles are shown along with schematic representations of the corresponding oscillation modes. The particles have radius R, their center-to-center distance is d, and the metal is described by a Drude dielectric function of bulk-plasma frequency ωp [Eq. (1)].Reuse & Permissions
    • Figure 2
      Figure 2
      Total scattering cross section σ of a system formed by two metallic spheres as a function of incident photon energy ω and center-to-center distance d between two aluminum spheres described by the Drude dielectric function of Eq. (1) with ωp=15eV and η=0.6eV. Two different polarization directions of the external electric field have been considered in (a) and (b), as shown in the insets. σ is normalized to the projected area of the two spheres, 2πR2. The solid curves represent the modes given by the expressions of Fig. 1.Reuse & Permissions
    • Figure 3
      Figure 3
      Contour plot of Im{−1∕ϵeff} as a function of incident photon energy ω and filling fraction of the metal for aluminium spheres in simple-cubic (a) and fcc (b) configurations, surrounded by vacuum. Brighter regions correspond to higher values of Im{−1∕ϵeff}. The solid curves correspond to Maxwell-Garnett theory as given by Eq. (6).Reuse & Permissions
    • Figure 4
      Figure 4
      Contour plot of Im{−1∕ϵeff} as a function of incident photon energy ω and filling fraction of the metal for silver spheres in an fcc configuration, surrounded by (a) vacuum or (b) silicon. Brighter regions correspond to higher values of Im{−1∕ϵeff}. The solid curves correspond to Maxwell-Garnett theory as given by Eq. (6).Reuse & Permissions
    • Figure 5
      Figure 5
      Real and imaginary parts of the effective dielectric function ϵeff for an fcc arrangement of Ag spheres surrounded by Si (solid and broken curves, respectively). Two different filling fractions of the metal have been considered: (a) f=0.2 and (b) f=0.5. The dielectric function has been divided by 50 in the low-ω region to improve readability.Reuse & Permissions
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