Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Localized Surface Plasmon Resonances of Simple Tunable Plasmonic
  Nanostructures   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.

9
The categories of this paper are: nlin
29
The categories of this paper are: funct-an
22
The categories of this paper are: chao-dyn
7
The categories of this paper are: hep-th
34
The categories of this paper are: chem-ph
23
The categories of this paper are: solv-int
35
The categories of this paper are: mtrl-th
37
The categories of this paper are: supr-con
21
The categories of this paper are: adap-org
16
The categories of this paper are: stat
26
The categories of this paper are: bayes-an
5
The categories of this paper are: gr-qc
25
The categories of this paper are: patt-sol
18
The categories of this paper are: econ
30
The categories of this paper are: q-alg
13
The categories of this paper are: quant-ph