Theoretical Analysis of Random Scattering Induced by Microlensing
Abstract
Theoretical investigations into the deflection angle caused by microlenses offer a direct path to uncovering principles of the cosmological microlensing effect. This work specifically concentrates on the the probability density function (PDF) of the light deflection angle induced by microlenses. We have made several significant improvements to the widely used formula from Katz et al. First, we update the coefficient from 3.05 to 1.454, resulting in a better fit between the theoretical PDF and our simulation results. Second, we developed an elegant fitting formula for the PDF that can replace its integral representation within a certain accuracy, which is numerically divergent unless arbitrary upper limits are chosen. Third, to facilitate further theoretical work in this area, we have identified a more suitable Gaussian approximation for the fitting formula.
Cite
@article{arxiv.2308.15073,
title = {Theoretical Analysis of Random Scattering Induced by Microlensing},
author = {Wenwen Zheng and Hou-Zun Chen and Xuechun Chen and Guoliang Li},
journal= {arXiv preprint arXiv:2308.15073},
year = {2023}
}
Comments
15 pages, 6 figures, accepted for publication in Research in Astronomy and Astrophysics