Plasmon resonances of nanorods in transverse electromagnetic scattering

TL;DR

This paper provides a detailed theoretical analysis of plasmon resonances in 2D nanorods, elucidating how geometry, material properties, and frequency influence resonance behavior in electromagnetic scattering.

Contribution

It offers the first precise spectral and asymptotic characterization of plasmon resonances in anisotropic nanorod structures, advancing understanding of their quantitative behaviors.

Findings

Derived accurate resonant conditions for nanorods.

Characterized the quantitative behavior of resonant fields.

Linked geometry and material parameters to resonance phenomena.

Abstract

Plasmon resonance is the resonant oscillation of conduction electrons at the interface between negative and positive permittivity material stimulated by incident light, which forms the fundamental basis of many cutting-edge industrial applications. We are concerned with the quantitative theoretical understanding of this peculiar resonance phenomenon. It is known that the occurrence of plasmon resonance as well as its quantitative behaviours critically depend on the geometry of the material structure, the corresponding material parameters and the operating wave frequency, which are delicately coupled together. In this paper, we study the plasmon resonance for a 2D nanorod structure, which presents an anisotropic geometry and arises in the transverse electromagnetic scattering. We present delicate spectral and asymptotic analysis to establish the accurate resonant conditions as well as sharply characterize the quantitative behaviours of the resonant field.