Hybridization theory for plasmon resonance in metallic nanostructures

TL;DR

This paper develops a mathematical framework for understanding plasmon resonance in metallic nanostructures, revealing how geometry and material modifications can induce complex resonance phenomena, supported by theoretical and numerical analysis.

Contribution

It introduces a hybridization theory for plasmon resonance in metallic nanostructures using Neumann-Poincaré operators and asymptotic analysis, extending understanding of resonance behavior.

Findings

Resonance frequencies depend on geometry and material properties.

Hybridization between solid and cavity plasmon modes is analytically characterized.

Numerical experiments support the theoretical predictions.

Abstract

In this paper, we investigate the hybridization theory of plasmon resonance in metallic nanostructures, which has been validated by the authors in [31] through a series of experiments. In an electrostatic field, we establish a mathematical framework for the Neumann-Poincar\'{e}(NP) type operators for metallic nanoparticles with general geometries related to core and shell scales. We calculate the plasmon resonance frequency of concentric disk metal nanoshells with normal perturbations at the interfaces by the asymptotic analysis and perturbation theory to reveal the intrinsic hybridization between solid and cavity plasmon modes. The theoretical finding are convincingly supported by extensive numerical experiments. Our theory corroborates and strengthens that by properly enriching the materials structures as well as the underlying geometries, one can induce much richer plasmon resonance phenomena of practical significance.