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Discrete Dipole Approximation (DDA) is a computational technique to simulate the optical properties of nanostructures
of different shapes, sizes, and compositions. The influence of the target size on the optical response of 5 nm-diameter
nanoparticles arranged in a monolayer hexagonal array is investigated by using DDA at various incident angles of the
incident light on the target considered for silver (Ag), gold (Au) and copper (Cu) nanoparticles. In our study, the target
size is controlled by the number of the spherical nanoparticles used to generate the two dimensional arrays. The
interparticle distance is kept constant in all the simulations. The anisotropic response of noble-metal nanoparticles is
generally characterized by the excitation of the high-energy (transverse) surface plasmon (SP) mode and the low-energy
(longitudinal) SP mode. Results of the simulations for the three chosen metals show an exponential dependency of the
absorption efficiency of the SP modes with respect to the target size. As the target size is increased, the energy of Ag-longitudinal
SP mode is red-shifted and it displays an exponential decay while the band position of the transverse mode
is blue-shifted. They however overlap when the smallest target size is considered. Although, the optical response of Au
and Cu nanoparticle arrays shows the same dependency on the target size as observed in the case of Ag, the positions of
their respective longitudinal and transverse modes are very close, making these almost indistinguishable. The
dependency of the absorption efficiency of SP modes on the incident angle is fitted linearly for Cu, Au and longitudinal-
Ag modes to the target size, while the transverse-Ag mode shows an exponential fitting. No change in the Ag-SP band
position is observed when the incident angle is changed, but the SP bands for both Au and Cu exhibit exponential
variation behavior.
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