Unified theory to describe and engineer conservation laws in light-matter interactions

TL;DR

This paper introduces a unified, algebraic theory for analyzing and engineering conservation laws in light-matter interactions, enabling precise control and optimization of property transfer between electromagnetic fields and objects.

Contribution

It provides a comprehensive framework to describe, compute, and optimize property transfer in light-matter interactions, including bounds and optimal illumination strategies.

Findings

Explicit characterization of transfer due to object asymmetry and absorption.

Calculation of upper bounds for property transfer rates.

Identification of most efficient illumination conditions.

Abstract

We present a unified theory to treat conservation laws in light-matter interactions. It can be used to describe and engineer the transfer of any measurable property from the electromagnetic field to any object. The theory allows to explicitly characterize and separately compute the transfer due to asymmetry of the object and the transfer due to field absorption by the object. It also allows to compute the upper bound of the transfer rate of any given property to any given object, together with the corresponding most efficient illumination which achieves the bound. Due to its algebraic nature, the approach is inherently suited for computer implementation.