Abstract
Collective lattice resonances in regular arrays of plasmonic nanoparticles have attracted much attention due to a large number of applications in optics and photonics. Most of the research in this field is concentrated on the electric dipolar lattice resonances, leaving higher-order multipolar lattice resonances in plasmonic nanostructures relatively unexplored. Just a few works report exceptionally high-Q multipolar lattice resonances in plasmonic arrays, but only with infinite extent (i.e., perfectly periodic). In this work, we comprehensively study multipolar collective lattice resonances both in finite and in infinite arrays of Au and Al plasmonic nanoparticles using a rigorous theoretical treatment. It is shown that multipolar lattice resonances in the relatively large (up to 6400 nanoparticles) finite arrays exhibit broader full width at half maximum (FWHM) compared to similar resonances in the infinite arrays. We argue that our results are of particular importance for the practical implementation of multipolar lattice resonances in different photonics applications.
Highlights
Collective lattice resonances (CLRs) are modes inherent to plasmonic or all-dielectric nanoparticles (NPs) arranged in a regular lattice, and observed at wavelengths close to Rayleigh anomalies of the lattice
It can be seen that the main contribution at the λ = 468 nm resonance was due to electric dipole (ED), while the λ = 421 nm peak appearde due to magnetic dipole (MD) and electric quadrupole (EQ) with a minor contribution of ED interaction
We noticed that nh h a = nm, which means that the peak at λ = nm corresponded to a multipolar CLR coupled to the [1, 0]
Summary
Collective lattice resonances (CLRs) are modes inherent to plasmonic or all-dielectric nanoparticles (NPs) arranged in a regular lattice, and observed at wavelengths close to Rayleigh anomalies of the lattice. CLRs in arrays of NPs are well-explained and understood within the coupled electric dipole (ED) [19,20], coupled ED and magnetic dipole (MD) [21], and coupled ED, MD, electric quadrupole (EQ) and magnetic quadrupole (MQ) [22] approximations. In all of these frameworks, closed-form analytical solutions are available for the extinction, scattering and absorption cross sections for infinite periodic structures. Recent works on CLRs suggest a great promise of multipolar CLRs, obviously in arrays of high-index NPs [35] since such NPs support a richer variety of multipolar modes [36] compared to plasmonic counterparts
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