Polarizability calculation of vibrating nanoparticles for intensity of low frequency Raman scattering

TL;DR

This paper introduces a new numerical method to accurately calculate the polarizability of vibrating nanoparticles, enabling better prediction of low frequency Raman scattering intensities in complex dielectric environments.

Contribution

A novel numerical approach for computing nanoparticle polarizability with position-dependent permittivity, applicable to Raman scattering analysis.

Findings

Method accurately matches exact solutions in test cases.

Effective for calculating Raman intensities in metallic and dielectric nanoparticles.

Suitable for nanoparticles embedded in transparent matrices.

Abstract

A new numerical method is introduced for calculating the polarizability of an arbitrary dielectric object with position dependent complex permittivity. Three separate numerical approaches are provided to calculate the dipole moment of a nanoparticle embedded in a dielectric matrix in the presence of an applied electric field. Numerical tests confirm the accuracy of this method when applied to several cases for which an exact solution is available. This method is especially well suited for the calculation of absolute Raman scattering intensities due to acoustic phonons in metallic and dielectric nanoparticles embedded in transparent matrices.