# Linear electromagnetic wave equations in materials

## TL;DR

This paper reviews microscopic electrodynamics in materials and systematically derives electromagnetic wave equations based on the dielectric tensor, clarifying their relation to response functions and Green's functions.

## Contribution

It provides a comprehensive framework connecting microscopic dielectric properties to electromagnetic wave equations in materials, enhancing theoretical understanding.

## Key findings

- Derivation of wave equations from dielectric tensor
- Clarification of relations between response tensors and Green functions
- Systematic overview of microscopic electromagnetic wave formulations

## Abstract

After a short review of microscopic electrodynamics in materials, we investigate the relation of the microscopic dielectric tensor to the current response tensor and to the full electromagnetic Green function. Subsequently, we give a systematic overview of microscopic electromagnetic wave equations in materials, which can be formulated in terms of the microscopic dielectric tensor.