Coupling
between plasmonic nanoparticles (NPs) in NP assemblies
has been investigated extensively via far-field properties, such as
absorption and scattering, but very rarely via near-field properties,
and a quantitative investigation of near-field properties should provide
great insights into the nature of the coupling. We report a numerical
procedure to obtain reliable near-field spectra (Q
NF) around spherical gold NPs (Au NPs) using discrete
dipole approximation (DDA). The reliability of the method was tested
by comparing Q
NF from DDA calculations
with exact results from the Mie theory. We then applied the method
to examine Au NPs assembled in dimers, trimers, and up to pentamers
in a linear arrangement. For the well-studied dimer system, we show
that the Q
NF enhancement, due to coupling
in longitudinal mode, is much greater than the enhancement in Q
ext. There is a linear correlation between the Q
NF and Q
ext peak
positions, with the Q
NF peak red-shifted
from the Q
ext peak by an average of approximately
12 nm. In the case of the multimers, Q
NF spectra from individual spheres were not always identical and become
dependent on the sphere location. In the longitudinal model, the center
sphere has the strongest Q
NF spectra.
For the transverse mode, we differentiate two different scenarios:
transverse-Y, where both electric field (E) and light
propagation vector (k) are perpendicular to the chain
axis, and transverse-X, where k is parallel to the chain
axis. In the transverse-Y mode, coupling leads to reduced Q
NF spectra and the center sphere has the lowest Q
NF intensity. In the transverse-X mode, there
is a retardation effect from the front sphere to the back sphere.
The Q
NF from the front sphere is stronger
than from the back sphere. In addition, due to the phase lag in the k-direction, the Q
NF in transverse-X
can differ quite significantly from that in transverse-Y for large
particles. These results provide new insights into the coupling properties
of Au NPs. Collectively, these results can be understood when one
considers how the electric field from induced dipoles on neighboring
NPs adds with, or subtracts from, the incident E-field. These results
provide new insights into the coupling properties of Au NPs.