Dipole emission and coherent transport in random media I

TL;DR

This paper develops a microscopic theoretical framework to analyze dipole emission and coherent transport in random media, deriving general formulas for decay rates and emission power applicable to various cavity models.

Contribution

It introduces a novel microscopic approach to relate dipole emission processes with coherent transport in random media, including general formulas for decay rates and emission power.

Findings

Derived general expressions for spontaneous emission decay rates.

Formulated formulas applicable to virtual and real cavities.

Established a theoretical basis for understanding dipole emission in disordered media.

Abstract

This is the first of a series of papers devoted to develop a microscopical approach to the dipole emission process and its relation to coherent transport in random media. In this Letter, we deduce general expressions for the decay rate of spontaneous emitters and the power emission of induced dipoles embedded in homogenous dielectric media. We derive formulae which apply generically to virtual cavities and, in the continuum approximation, to small real cavities.