English

Localized Surface Plasmon Resonances of Simple Tunable Plasmonic Nanostructures

Optics 2019-05-21 v1

Abstract

We derive and present systematic relationships between the analytical formulas for calculation of the localized surface plasmon resonances (LSPR) of some plasmonic nano-structures 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 Fr\"ohlich 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.

Keywords

Cite

@article{arxiv.1905.08185,
  title  = {Localized Surface Plasmon Resonances of Simple Tunable Plasmonic Nanostructures},
  author = {Luke C. Ugwuoke and Tomáš Mančal and Tjaart P. J. Krüger},
  journal= {arXiv preprint arXiv:1905.08185},
  year   = {2019}
}

Comments

20 pages (one column), 7 figures, and 3 supplementary figures