Mie scattering eigenmodes for optical trapping

TL;DR

This paper introduces a method using Mie scattering eigenmodes to precisely analyze optical forces and momentum transfer in light-matter interactions, providing a natural basis for understanding optical trapping.

Contribution

It presents a novel application of Mie scattering theory to define orthogonal optical eigenmodes related to optical forces, enhancing the understanding of light-matter interactions.

Findings

Defined Hermitian relationship between incident field and optical forces

Established orthogonal optical eigenmodes as a basis for momentum transfer

Provided a framework for precise analysis of optical trapping phenomena

Abstract

The Mie scattering theory enables the exact determination of the scattered field as a function of the incident field. Here, we use this approach to calculate the Hermitian relationship between the incident field and the optical forces acting on the scattering objects. This Hermitian relationship defines also a set of orthogonal optical eigenmodes which deliver a natural basis to describe momentum transfer in light-matter interactions.