Analytical study of the plasmonic modes of a metal nanoparticle circular array

Abstract

We analyze the plasmonic modes of a metal nanoparticle circular array. Closed-form solutions to the eigenmode problem are presented. For each polarization, the plasmonic mode with the highest quality is found to be in antiphase. The significant suppression of 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. © 2008 The American Physical Society.