Pencil-beam approximation of fractional Fokker-Planck
Analysis of PDEs
2020-12-04 v1
Abstract
We consider the modeling of light beams propagating in highly forward-peaked turbulent media by fractional Fokker-Planck equations and their approximations by fractional Fermi pencil-beam models. We obtain an error estimate in a 1-Wasserstein distance for the latter model showing that beam spreading is well captured by the Fermi pencil-beam approximation in the small diffusion limit.
Keywords
Cite
@article{arxiv.2012.01906,
title = {Pencil-beam approximation of fractional Fokker-Planck},
author = {Guillaume Bal and Benjamin Palacios},
journal= {arXiv preprint arXiv:2012.01906},
year = {2020}
}