# Light-matter interactions in multi-element resonators

## TL;DR

This paper explores how multi-element optical resonators can be engineered to enhance light-matter interactions, providing a comprehensive analysis of their static and dynamic properties for quantum applications.

## Contribution

It offers a first-principles transfer matrix approach to analyze multi-mirror cavities, revealing conditions for enhanced light-matter coupling in complex resonator structures.

## Key findings

- Enhanced confinement in subcavities boosts light-matter interactions
- Analytical and numerical methods characterize cavity properties
- Design guidelines for cavity quantum electrodynamics and optomechanics

## Abstract

We investigate structural resonances in multi-element optical resonators and provide a roadmap for the description of the interaction of single extended cavity modes with quantum emitters or mechanical resonators. Using a first principle approach based on the transfer matrix formalism we analyze, both numerically and analytically, the static and dynamical properties of three- and four-mirror cavities. We investigate in particular conditions under which the confinement of the field in specific subcavities allows for enhanced light-matter interactions in the context of cavity quantum electrodynamics and cavity optomechanics.