# General Scattering Characteristics of Resonant Core-Shell Spheres

## TL;DR

This paper analyzes the electromagnetic scattering properties of small resonant core-shell spheres, exploring how core and shell parameters influence plasmonic resonances in both electrostatic and electrodynamic regimes.

## Contribution

It introduces analytical methods using MacLaurin and Padé expansions to understand core-shell scattering, revealing new insights into resonance mechanisms and material effects.

## Key findings

- Thickness influences plasmonic resonances in electrostatic limit
- Core material affects dynamic depolarization and damping
- Method applicable to other resonances and shapes

## Abstract

This article presents and discusses the general features and aspects regarding the electromagnetic scattering by a small core-shell plasmonic sphere. First, the thickness effects on the plasmonic resonances are presented in the electrostatic (Rayleigh) limit, utilizing the MacLaurin expansion of the Mie coefficients of hollow scatterers. Several aspects regarding the core effects are given, illustrating the enabling mechanisms and peculiarities of its resonant scattering response on it electrostatic limit. The electrodynamic aspects of the scattering process are revealed through the newly introduced Pad\'e expansion of the Mie coefficients. Additionally we expose how the core material affects the dynamic mechanisms, such as the dynamic depolarization and radiative damping. The described method can be expanded for other type of resonances and canonical shapes, while the general characteristics presented here are expected to stimulate further studies regarding the functionalities of the core-shell scatterers.