Geometric interpretations for resonances of plasmonic nanoparticles

TL;DR

This paper introduces a geometric interpretation of localized surface plasmon resonances using a Bohr model based on surface plasmon polaritons, linking two main branches of plasmonics and explaining various scattering phenomena.

Contribution

It establishes a novel geometric framework connecting LSPs and SPPs, explaining anomalous scattering features and enabling geometric tuning for optimal absorption.

Findings

Explains higher order modes at lower frequencies

Demonstrates blueshift of resonances with size increase

Shows geometric tuning can maximize single channel absorption

Abstract

The rapidly developing field of plasmonics can be roughly categorized into two branches: surface plasmon polaritons (SPPs) propagating in plasmonic waveguides and localized surface plasmons (LSPs) supported by scattering plasmonic particles. Investigations along these two directions usually employ quite different approaches and techniques, resulting in more or less a dogma that the two branches progress almost independently of each other, with few interactions. Here in this work we interpret LSPs from a Bohr model based geometric perspective relying on SPPs, thus establishing a connection between these two sub-fields. Besides the clear explanations of conventional scattering features of plasmonic nanoparticles, based on this geometric model we further demonstrate other anomalous scattering features (higher order modes supported at lower frequencies, and blueshift of the resonance with increasing particle sizes) and multiple electric resonances of the same order supported at different frequencies, which have been revealed to originate from backward SPP modes and multiple dispersion bands supported in the corresponding plasmonic waveguides, respectively. Inspired by this geometric model, it is also shown that, through solely geometric tuning, the absorption of each LSP resonance can be maximized to reach the single channel absorption limit, provided that the scattering and absorption rates are tuned to be equal. The Bohr model based geometric picture offers new insights into the understanding of the localized resonances, and may shed new light to many related applications based on particle scattering, such as biosensing, nanoantennas, photovoltaic devices and related medical treatment.