Distributions of electric fields in two-dimensional arrays of gold nanodisks on Si3N4 membranes are modeled by
use of the discrete-dipole approximation as a function of nanodisk diameter (20 nm to 50 nm), height (10 nm to
100 nm), ratio of the array spacing to diameter (1.3 to 4.7), and angle of incident light. The primary focus is on
fields in a plane near the circular gold/vacuum interface with light of 532 nm wavelength incident through the
membrane, a configuration that is particularly relevant to potential applications in plasmon-mediated Brillouin
light scattering, nanolithography, and photovoltaics. The height/diameter ratio for maximum intensities over this
plane is between 0.7 and 1.5 and not strongly dependent on the spacing for a given angle. The average intensity
increases with decreasing array spacing and incident angle relative to the substrate normal. This dependence is
attributed primarily to a combination of fractional coverage area of the gold and increased excitation of a dipolar
contribution to the fields. The incident light at 532 nm simultaneously excites dipolar and quadrupolar surface-plasmon
modes. Because the quadrupolar mode has a peak close to 532 nm, its excited fields are approximately
out of phase with the incident light.
Enhancement of Brillouin light scattering (BLS) at the wavelength of 532 nm was observed from Rayleigh-like and
Sezawa-like acoustic modes of alkaline-earth boro-aluminosilicate glass covered with periodic arrays of gold nanodisks.
This enhancement is attributed to mediation of surface plasmons of the nanodisks. For nanodisks with diameters of 71
nm to 90 nm, heights of 30 nm, and periodicity of 100 nm, the maximum measured surface-plasmon enhancement of
BLS intensity was, respectively, ~ 2.4 and ~ 5.6 for Rayleigh-like and Sezawa-like modes, relative to the intensity from a
gold film with the same fractional coverage area but without surface-plasmon coupling. The maximum for the Rayleigh-like
modes occurs with the smallest-diameter nanodisks, and that for the Sezawa-like modes occurs with the largest-diameter
nanodisks. The angular dependence is relatively broad. Calculations employing the discrete dipole
approximation were used to predict the electric-field intensities in the gold disks and nearby glass as a function of
nanodisk diameter. The average calculated intensity at the top surface of the gold increases with decreasing diameter,
consistent with the experimental results for Rayleigh-like modes and the expectation that surface ripple is the dominant
scattering mechanism for such modes. The results of this study suggest that nanodisk arrays can provide a platform for
practical implementation of surface-enhanced BLS analogous to other surface-enhanced spectroscopies, and suggest the
additional possibility of substantially extending the range of wave numbers in BLS through plasmonic-crystal band
folding.
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