Dipole emission from a real cavity in a random medium. Fluorescence in a homogeneous medium II

TL;DR

This paper derives a general formula for the emission rate of an emitter in a real cavity within a random medium and applies it to calculate the decay rate of an atom in a molecule embedded in a continuous medium.

Contribution

It introduces a new formalism for calculating emission rates of emitters in complex media, specifically considering real cavities in random environments.

Findings

Derived a general expression for emission rate in a real cavity

Applied the formalism to atomic decay in a molecular environment

Provided insights into fluorescence behavior in heterogeneous media

Abstract

In this paper we derive a general expression for the emission rate of an emitter which is placed at the center of a real cavity drilled in a generic random medium. We apply our formalism to the computation of the decay rate of a single atom which seats within a small molecule embedded in a continuous medium.