Extrapolation Algorithms and Their Use for the Evaluation of Beam-Beam Effects on the Motion and Polarization of Particles in Storage Rings

摘要

A proposal of using extrapolation algorithms as an analytical - numerical tool for the evaluation of the beam-beam effects in storage rings is formulated. These algorithms already known to experts of Applied Mathematics are described in some detail. Physical models for the beam-beam interaction effects on betatron motion and polarization of a test particle are discussed and put in such a form to allow the application of the extrapolation algorithms.