Rough Fabry-Perot cavity: a vastly multi-scale numerical problem
Abstract
A commercial Fabry-Perot laser diode is characterized by highly disproportionate dimensions, which poses a significant numerical challenge, even for state-of-the-art tools. This challenge is exacerbated when one of the cavity mirrors is rough-ened, as is the case when fabricating random laser diodes. Such a system involves length scales from several hundred mi-crometres (length) to a few nanometres (roughness) all of which are relevant when studying optical properties in the visi-ble. While involving an extreme range of dimensions, these cavities cannot be treated through statistical approaches such as those used with self-similar fractal structures known to show well-studied properties. Here we deploy numerical meth-ods to compute cavity modes and show how random corrugations of the Fabry-Perot cavity wall affect statistical proper-ties of their spectral features. Our study constitutes a necessary first step in developing technologically essential devices for photonic computation and efficient speckle-free illumination.
Cite
@article{arxiv.2507.16607,
title = {Rough Fabry-Perot cavity: a vastly multi-scale numerical problem},
author = {Tetiana Slipchenko and Jaime Abad-arredondo and Antonio Consoli and Francisco J García Vidal and Antonio I Fernández-domínguez and Pedro David García and Cefe López},
journal= {arXiv preprint arXiv:2507.16607},
year = {2025}
}