2018
DOI: 10.1088/2515-7647/aae8a2
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Finite-size effects on periodic arrays of nanostructures

Abstract: Arrays of nanostructures have emerged as exceptional tools for the manipulation and control of light. Oftentimes, despite the fact that real implementations of nanostructure arrays must be finite, these systems are modeled as perfectly periodic, and therefore infinite. Here, we investigate the legitimacy of this approximation by studying the evolution of the optical response of finite arrays of nanostructures as their number of elements is increased. We find that the number of elements necessary to reach the i… Show more

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Cited by 62 publications
(75 citation statements)
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“…Another benefit of large polarizability is that already small patches of periodically arranged plasmonic scatterers, just a few scatterers across, are sufficient to bring out the collective effects of infinite lattices [184], such as diffractive directional in-and out-coupling of emission. This has been elegantly demonstrated by several groups [64,185,186]. One of the studies investigated the emission from fluorophores located at the central scatterer (hole-in-film) in a hexagonal lattice, adding rows of the lattice one by one around the central hole [64].…”
Section: Diffraction As Main Philosophy Of Light-emitting Plasmonic Mmentioning
confidence: 96%
“…Another benefit of large polarizability is that already small patches of periodically arranged plasmonic scatterers, just a few scatterers across, are sufficient to bring out the collective effects of infinite lattices [184], such as diffractive directional in-and out-coupling of emission. This has been elegantly demonstrated by several groups [64,185,186]. One of the studies investigated the emission from fluorophores located at the central scatterer (hole-in-film) in a hexagonal lattice, adding rows of the lattice one by one around the central hole [64].…”
Section: Diffraction As Main Philosophy Of Light-emitting Plasmonic Mmentioning
confidence: 96%
“…NPs in the array [89,90]. However, periodic lattices of strictly arranged NPs are usually considered to study this finite-size effect.…”
Section: Disordered Arrays a Types Of Disordermentioning
confidence: 99%
“…Finally, after thermal evaporation of 40 nm of aluminum, a lift-off process was performed. The array size was 50 μm x 80 m, consisting of about 27000 elements, can be considered large enough to observe the effect of surface lattice resonances in the transmission spectra 50,51 Modelling. Electromagnetic simulations have been performed assuming infinite array size (given the large number of fabricated elements)using a commercial finite difference time-domain-based software (Lumerical FDTD Solutions) and the T-matrix method 46 .…”
Section: Methodsmentioning
confidence: 99%