Plasmon Resonance of Finite
One-Dimensional Au Nanoparticle
Chains
Q.-H. Wei,
²
K.-H. Su, S. Durant, and X. Zhang*
Department of Mechanical and Aerospace Engineering, UniVersity of California
at Los Angeles, Los Angeles, California 90095
Received March 11, 2004; Revised Manuscript Received April 20, 2004
ABSTRACT
We report experimental and theoretical studies on the plasmon resonances of finite one-dimensional chains of Au nanoparticles excited by
evanescent light waves with polarization parallel to the chains. The experimental results show that the plasmon resonance peak wavelengths
of these finite 1D chains are significantly red-shifted in comparison to that of single Au nanoparticle. Contrary to previous findings, the peak
wavelengths are observed to be a nonmonotonic function of particle numbers in the chain. This phenomenon is reproduced in the theoretical
results obtained by using the transfer-matrix method and is shown to occur only for larger particles where phase retardation effects are
important in plasmon coupling.
Considerable recent interest has been paid to nanometal
particles due to the numerous potential applications of their
extraordinary optical properties.
1-11
The strong interactions
of nanometal particles with visible light originate from the
excitation of collective oscillations of conduction electrons
within these particles, an elementary excitation termed
“surface plasmons”.
13
The surface plasmons can be detected
as resonance peaks in the light scattering spectra of these
nanoparticles. The plasmon resonance energy of a particular
nanometal particle depends on its size, shape, composition,
and its surrounding medium.
14
Coupling between surface
plasmons of neighboring particles leads to energy shifts and
energy confinements between particles, an effect playing an
important role in surface enhanced Raman scattering experi-
ments (SERS).
10-12,15-19
Near-field plasmon coupling in periodic arrays has been
extensively studied. Of particular interest, recent theoretical
and experimental work suggests that one-dimensional nano-
particle arrays can be utilized to transport energy.
10-12,20-21
The minimum size of the guided modes in nanoparticle arrays
is not limited by diffraction, which may enable nanoscale
optical devices if the propagation loss can be minimized.
Furthermore, near-field scanning optical microscopic studies
of 1D chains of nanoparticles showed that enhanced local
electromagnetic fields are primarily confined between par-
ticles, which may be utilized for producing efficient SERS-
active substrates for molecular sensing applications.
22
Since
the energy transportation in a chain is sensitive to interparticle
plasmon coupling, thorough understanding of the resonance
wavelength dependence on the chain length and particle
spacing could provide useful guidance for designing na-
nooptical devices. Far-field spectroscopic studies and finite-
difference time-domain (FDTD) simulations of chains of 50
nm diameter Au spheres show that the peak wavelength of
plasmon resonances increases (decreases) with the chain
lengths for the longitudinal (transverse) mode and saturates
when the chain is longer than about seven particles.
20
In this letter, we report experimental and theoretical studies
on the plasmon resonances of finite 1D chains of Au
nanoparticles excited by optical waves with a polarization
parallel to the chain (longitudinal mode). The experimental
results show that the plasmon resonance peak wavelength
of a finite 1D chain of Au nanoparticles is significantly red-
shifted in comparison to that of single Au nanoparticles. In
contrast to previous findings for smaller particles,
20-21
the
peak wavelength is found to be nonmonotonic and oscillating
with the variation of the chain length. Theoretical calculations
based on the transfer matrix method show satisfactory
agreement with this experimental observation and demon-
strate further that this resonance peak oscillation occurs only
for large particles. This finding may help to provide a better
understanding of the plasmon resonances in coupled nano-
particle chains.
The gold nanoparticles were prepared on quartz substrates
by electron beam lithography (EBL) and a standard lift-off
process. 10 nm-thick indium tin oxide (ITO) films were
sputtered on the quartz substrates to reduce charging effects
during the EBL process, and 100 nm-thick poly(methyl
methacrylate) (PMMA) films were used as a positive
* Corresponding author. E-mail: xiang@seas.ucla.edu.
²
Present address: Applied NanoBioscience Center, Arizona State
University, Tempe, AZ 85287-4004; e-mail: Qihuo.Wei@asu.edu.
NANO
LETTERS
2004
Vol. 4, No. 6
1067-1071
10.1021/nl049604h CCC: $27.50 © 2004 American Chemical Society
Published on Web 05/08/2004
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