Materials Science and Engineering B 149 (2008) 247–250
Local-field enhancement in metallic nanoplanets
G. Pellegrini
∗
, G. Mattei, V. Bello, P. Mazzoldi
CNISM, Dipartimento di Fisica, Universit` a di Padova, via Marzolo 8, I-35131 Padova, Italy
Received 27 June 2007; accepted 4 September 2007
Abstract
Generalized Multiparticle Mie theory is applied in order to study in detail local-field properties of metallic nanoplanets (i.e., a central cluster
surrounded by small “satellite” clusters very close to its surface), obtained by ion beam techniques. Strongly asymmetric dimers are chosen as
model systems in order to establish the influence of topological parameters such as satellite dimension and distance from the central cluster surface
on the local-field enhancement, with calculated enhancement factors as high as ∼180 in the case of silver. Similar topological configurations are
shown to be present in typical nanoplanet systems, with comparable local-field enhancement factors. Simulations for silver and silver–gold alloy
in silica, and for gold in titania matrix are reported as examples of possible experimental systems.
© 2007 Elsevier B.V. All rights reserved.
Keywords: Interacting nanoparticles; Coupled plasmons; Local-field enhancement
1. Introduction
The interaction of light with ensemble of coupled metal
nanoclusters (NCs) has attracted much interest in the last few
years, for the peculiar linear and non-linear optical properties of
these systems. Extinction spectra and local-field enhancement
are influenced by parameters such as particle size, number and
relative positions as well as by incident light polarization state
[1–3]. Given their far- and local-field properties strongly cou-
pled clusters are promising for molecular sensors and miniature
non-linear optical elements [4–8]. Strong electrodynamic cou-
pling allows a polarization-mediated control over the plasmon
resonance shape and position, and the possibility of three-
dimensional subwavelength confinement along with plasmon
waveguiding [9–16]. A number of different techniques have
been adopted to model the optical properties of coupled clus-
ters, herein included finite difference time domain (FDTD),
T-matrix, discrete dipole approximation (DDA) and Generalized
Multiparticle Mie (GMM)approaches [17–20].
In the present paper we describe by the GMM theory the local-
field enhancement properties of peculiar structures of interacting
nanoclusters called nanoplanets (NPs, i.e., a central cluster sur-
rounded by small “satellite” clusters very close to its surface),
∗
Corresponding author.
E-mail address: pellegrini@padova.infm.it (G. Pellegrini).
synthesized by ion beam processing techniques [21–25].A
detailed descriptions of the GMM formalism may be found
in Ref. [26,27]. We first adopt strongly asymmetric dimers as
model systems, in order to determine the influence on the local-
field enhancement factor of parameters like satellite dimension
and distance from the central cluster surface, as well as incident
light polarization state. Subsequently GMM theory is applied
to the NPs topology in three test cases: (i) Au
x
Ag
1-x
NPs in
SiO
2
matrix (i.e., an already synthesized experimental system
[21–25]), (ii) Ag NPs in SiO
2
, and (iii) Au NPs in TiO
2
(the
last two cases being of interest for possible new experimental
systems).
2. Local field: asymmetric dimers
The first investigated structures are strongly asymmetric sil-
ver dimers in silica matrix (n = 1.45), which are chosen as
model systems in order to study the direct coupling mech-
anism between central and satellite clusters. Dimensions are
R = 15 nm for the mother cluster, and a varying radius from
1 to 3 nm for the satellite ones, in close relation to sizes obtained
in experimental systems [21–25]. Interparticle spacing is varied
between 1 and 15 nm, in order to evaluate the influence of surface
distances on the field enhancement. The electric field is com-
puted on the x–y dimer equatorial plane, with a unitary amplitude
monochromatic plane wave as an incident field, moving along
the z axis in the positive direction. Field is calculated for three
0921-5107/$ – see front matter © 2007 Elsevier B.V. All rights reserved.
doi:10.1016/j.mseb.2007.09.060