# Classic Harmonic Oscillator Model of Coupled Metal Nanoparticles with Arbitrary Configuration in Plane

## TL;DR

This paper introduces a harmonic oscillator model to analyze the optical properties of arbitrarily configured coupled metal nanoparticles in a plane, enabling easy spectral calculations and electric field distribution analysis.

## Contribution

The model extends previous work by handling arbitrary configurations and polarizations, broadening the analysis of coupled MNPs beyond simple dimers.

## Key findings

- Spectra vary with system configuration and light polarization.
- Far field electric field distributions are characterized for different arrangements.
- The model facilitates analysis of complex nanoparticle systems.

## Abstract

A classic harmonic oscillator model is developed to investigate the optical properties of coupled metal nanoparticles (MNPs) with arbitrary configuration in plane. The coupling coefficients are derived from classical electrodynamics. Using this model, we can easily obtain the spectra of coupled MNPs varying with the configurations of the system and the polarizations of external light. Furthermore, the far field electric field distributions of different configurations are revealed. This model is an extension of our previous works which only discuss the parallel and vertical excitations for dimer. It is useful to related applications