Space Charge Effects for Transverse Collective Instabilities in Circular Machines
Alexey Burov
TL;DR
This paper reviews the historical development of understanding transverse collective instabilities in circular particle accelerators, emphasizing the roles of Coulomb and wake fields in beam stability issues.
Contribution
It provides a comprehensive overview of the evolution of theories and models addressing transverse instabilities in circular machines, integrating Coulomb and wake field effects.
Findings
Historical insights into beam instability theories
Relationship between Coulomb and wake fields in instabilities
Implications for stability mitigation strategies
Abstract
A brief historical review is presented of progressing understanding of transverse coherent instabilities of charged particles beams in circular machines when both Coulomb and wake fields are important. The paper relates to a talk given at ICFA Workshop on Mitigation of Coherent Beam Instabilities in Particle Accelerators, 23-27 September 2019 in Zermatt, Switzerland.
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