Approximating Nonlinear Forces with Phase-Space Decoupling
Accelerator Physics
2017-08-02 v2
Abstract
Beam tracking software for accelerators typically falls into two categories: fast envelope simulations limited to linear beam optics, and slower multiparticle simulations that can model nonlinear effects. To find a middle ground between these approaches, we introduce virtual coordinates in position and momentum which have a cross-dependency (i.e. p=f(x) where x is an initial position and p* is a virtual projection of momentum onto the position axis). This technique approximates multiparticle simulations with a significant reduction in calculation cost.
Cite
@article{arxiv.1701.02812,
title = {Approximating Nonlinear Forces with Phase-Space Decoupling},
author = {Ben Folsom and Emanuele Laface},
journal= {arXiv preprint arXiv:1701.02812},
year = {2017}
}