Analytical study of the plasmonic modes of metal nanoparticle circular array

Abstract

We analyze the plasmonic modes of a metal nanoparticle circular array. Closed form solutions to the eigenmode problem are given. For each polarization, the plasmonic mode with the highest quality is found to be an antiphase mode. We found that the significant suppression in radiative loss can be understood as the cancellation of the dipolar radiation term in the radiative linewidth. The remaining finite radiative linewidth decreases exponentially as the number of particle increases.

18 pages, 6 figures

References in corpus (2)

• Divergence of Dipole Sums and the Nature of Non-Lorentzian Exponentially Narrow Resonances in One-Dimensional Periodic Arrays of Nanospheres
• Anderson Localization of Polar Eigenmodes in Random Planar Composites

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• Generation of unipolar pulses in a circular Raman-active medium excited by few-cycle optical pulses
• Localization characteristics of two-dimensional quasicrystals consisting of metal nanoparticles
• Anomalous Light Scattering by Topological $\mathcal{P}\mathcal{T}$-symmetric Particle Arrays
• Electron-photon scattering mediated by localized plasmons: A quantitative analysis by eigen-response theory
• Negative Group Velocity from Quadrupole Resonance of Plasmonic Spheres
• Small mode volume topological photonic states in one-dimensional lattices with dipole--quadrupole interactions
• In-plane plasmonic modes in a quasicrystalline array of metal nanoparticles