Plasmon oscillations in ellipsoid nanoparticles: beyond dipole approximation

TL;DR

This paper develops a general analytical method to describe plasmon oscillations in ellipsoid nanoparticles beyond the dipole approximation, providing explicit formulas for multiple modes and numerical analysis for higher orders.

Contribution

It introduces a novel analytical framework for calculating plasmon modes of arbitrary multipolarity in ellipsoid nanoparticles, extending beyond traditional dipole models.

Findings

Derived explicit formulas for 24 plasmon modes.

Numerically investigated higher-order modes.

Provided a comprehensive method for potential and frequency calculations.

Abstract

The plasmon oscillations of a metallic triaxial ellipsoid nanoparticle have been studied within the framework of the quasistatic approximation. A general method has been proposed for finding the analytical expressions describing the potential and frequencies of the plasmon oscillations of an arbitrary multipolarity order. The analytical expressions have been derived for an electric potential and plasmon oscillation frequencies of the first 24 modes. Other higher orders plasmon modes are investigated numerically.