Single Particle Linear and Nonlinear Dynamics

Technical Report · Fri Jun 25 00:00:00 EDT 2004

DOI:https://doi.org/10.2172/827009· OSTI ID:827009

Cai, Y

I will give a comprehensive review of existing particle tracking tools to assess long-term particle stability for small and large accelerators in the presence of realistic magnetic imperfections and machine misalignments. The emphasis will be on the tracking and analysis tools based upon the differential algebra, Lie operator, and ''polymorphism''. Using these tools, a uniform linear and non-linear analysis will be outlined as an application of the normal form.

• Research Organization: SLAC National Accelerator Lab., Menlo Park, CA (United States)
• Sponsoring Organization: USDOE Office of Science (US)
• DOE Contract Number: AC03-76SF00515
• OSTI ID: 827009
• Report Number(s): SLAC-PUB-10511; TRN: US0404754
• Resource Relation: Other Information: PBD: 25 Jun 2004
• Country of Publication: United States
• Language: English

Related Subjects

43 PARTICLE ACCELERATORS
ACCELERATORS
ALGEBRA
DEFECTS
STABILITY