Reconstruction: Rational Approximation of the Complex Error Function and the Electric Field of a Two-Dimensional Gaussian Charge Distribution
Accelerator Physics
2023-06-16 v1 Computational Physics
Abstract
This paper resurrects and archives an unpublished original Cornell Laboratory of Nuclear Studies report by Yuko Okamoto and Richard Talman, "Rational Approximation of the Complex Error Function and the Electric Field of a Two-Dimensional Gaussian Charge Distribution" CBN 80-13, dating from September 1980, during the start-up period of the CESR-CLEO collider. This code has played a significant role in the calculation of the beam-beam interaction (in particular the beam-beam tune shift) for subsequent storage ring colliders. Electronic access to the (refactored) original codes is provided by active links.
Keywords
Cite
@article{arxiv.2306.08095,
title = {Reconstruction: Rational Approximation of the Complex Error Function and the Electric Field of a Two-Dimensional Gaussian Charge Distribution},
author = {John Talman and Yuko Okamoto and Richard Talman},
journal= {arXiv preprint arXiv:2306.08095},
year = {2023}
}
Comments
43 pages, 2 figures