Open AccessPencil-beam approximation of fractional Fokker-Planck
Author(s) -
Guillaume Bal,
Benjamín Palacios
Publication year - 2021
Publication title -
kinetic and related models
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.987
H-Index - 28
eISSN - 1937-5093
pISSN - 1937-5077
DOI - 10.3934/krm.2021024
Subject(s) - physics , fokker–planck equation , fermi gamma ray space telescope , pencil (optics) , beam (structure) , mathematics , statistical physics , computational physics , optics , quantum mechanics , differential equation
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.