A physical interpretation of the cubic map coefficients describing the electron cloud evolution

TL;DR

This paper provides an analytical interpretation of cubic map coefficients to better understand the dynamics of electron cloud evolution in particle accelerators, which can affect their performance.

Contribution

It offers a novel analytical approach to interpret cubic map coefficients related to electron cloud dynamics in accelerators.

Findings

Analytical insights into electron cloud behavior

Understanding of cubic map coefficients

Implications for accelerator performance

Abstract

The Electron Cloud, an undesirable physical phenomena in the accelerators, develops quickly as photons striking the vacuum chamberwall knock out electrons that are then accelerated by the beam, gain energy, and strike the chamber again, producing more electrons. The interaction between the electron cloud and a beam leads to the electron cloud effects such as single- and multi-bunch instability, tune shift, increase of pressure and particularly can limit the ability of recently build or planned accelerators to reach their design parameters. We report a principal results about the analytical study to understanding a such dynamics of electrons.