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Localized Surface Plasmon Resonances of Simple Tunable Plasmonic Nanostructures

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Abstract

We derive and present systematic relationships between the analytical formulas for calculation of the localized surface plasmon resonances (LSPR) of some plasmonic nanostructures which we have categorized as simple. These relationships, including some new formulas, are summarized in a tree diagram which highlights the core-shell plasmons as the generators of solid and cavity plasmons. In addition, we show that the LSPR of complex structures can be reduced to that of simpler ones, using the LSPR of a nanorice as a case study, in the dipole limit. All the formulas were derived using a combination of the Drude model, the Rayleigh approximation, and the Fröhlich condition. The formulas are handy and they are in good agreement with the results of the plasmon hybridization theory. The formulas also account for dielectric effects, which provide versatility in the tuning of the LSPR of the nanostructures. A simplified model of plasmon hybridization is presented, allowing us to investigate the weak-coupling regimes of solid and cavity plasmons in the core-shell nanostructures we have studied.

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Acknowledgments

We wish to thank Vincenzo Giannini for his advice on the manuscript.

Funding

L. C. U. was sponsored by the National Research Foundation (NRF) and the University of Pretoria. T. M. was supported by the Czech Science Foundation (GACR) grant no. 17-22160S. T. P. J. K. was supported by the NRF project nos. 109302 and 112085.

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Authors and Affiliations

  1. Department of Physics, University of Pretoria, Private bag X20, Hatfield, 0028, South Africa

    Luke C. Ugwuoke & Tjaart P. J. Krüger

  2. Faculty of Mathematics and Physics, Charles University, Ka Karlovu 5, 121 16, Prague 2, Czech Republic

    Tomáš Mančal

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  1. Luke C. Ugwuoke
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  2. Tomáš Mančal
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Correspondence to Luke C. Ugwuoke.

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Ugwuoke, L.C., Mančal, T. & Krüger, T.P.J. Localized Surface Plasmon Resonances of Simple Tunable Plasmonic Nanostructures. Plasmonics 15, 189–200 (2020). https://doi.org/10.1007/s11468-019-01019-3

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