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Broadening of Plasmonic Resonance Due to Electron Collisions with Nanoparticle Boundary: а Quantum Mechanical Consideration

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Abstract

We present a quantum mechanical approach to calculate broadening of plasmonic resonances in metallic nanostructures due to collisions of electrons with the surface of the structure. The approach is applicable if the characteristic size of the structure is much larger than the de Broglie electron wavelength in the metal. The approach can be used in studies of plasmonic properties of both single nanoparticles and arrays of nanoparticles. Energy conservation is insured by a self-consistent solution of Maxwell's equations and our model for the photon absorption at the metal boundaries. Consequences of the model are illustrated for the case of spheroid nanoparticles, and results are in good agreement with earlier theories. In particular, we show that the boundary-collision broadening of the plasmonic resonance in spheroid nanoparticles can depend strongly on the polarization of the impinging light.

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Acknowledgments

This work was partly supported by Science Foundation Ireland (06/IN.1/I90) and by Russian Foundation for Basic Research (14-02-00125). The Center for Nanostructured Graphene (CNG) is sponsored by the Danish National Research Foundation, Project DNRF58.

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Authors and Affiliations

  1. P.N. Lebedev Physical Institute, Leninsky pr. 53, 119991, Moscow, Russia

    Alexander V. Uskov & Igor E. Protsenko

  2. DTU Fotonik, Technical University of Denmark, Ørsteds Plads 343, DK-2800, Kgs. Lyngby, Denmark

    Alexander V. Uskov & N. Asger Mortensen

  3. Plasmonics LTD, Nijnie Polia Street, 52/1, 119382, Moscow, Russia

    Alexander V. Uskov & Igor E. Protsenko

  4. Center for Nanostructured Graphene (CNG), Technical University of Denmark, DK-2800, Kgs. Lyngby, Denmark

    N. Asger Mortensen

  5. Tyndall National Institute and Department of Physics, University College Cork, Cork, Ireland

    Eoin P. O’Reilly

Authors
  1. Alexander V. Uskov
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  2. Igor E. Protsenko
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  3. N. Asger Mortensen
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  4. Eoin P. O’Reilly
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Correspondence to Alexander V. Uskov.

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Uskov, A.V., Protsenko, I.E., Mortensen, N.A. et al. Broadening of Plasmonic Resonance Due to Electron Collisions with Nanoparticle Boundary: а Quantum Mechanical Consideration. Plasmonics 9, 185–192 (2014). https://doi.org/10.1007/s11468-013-9611-1

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  • DOI: https://doi.org/10.1007/s11468-013-9611-1

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