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Title: Single Particle Linear and Nonlinear Dynamics

Abstract

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.

Authors:
Publication Date:
Research Org.:
Stanford Linear Accelerator Center, Menlo Park, CA (US)
Sponsoring Org.:
USDOE Office of Science (US)
OSTI Identifier:
827009
Report Number(s):
SLAC-PUB-10511
TRN: US0404754
DOE Contract Number:  
AC03-76SF00515
Resource Type:
Technical Report
Resource Relation:
Other Information: PBD: 25 Jun 2004
Country of Publication:
United States
Language:
English
Subject:
43 PARTICLE ACCELERATORS; ACCELERATORS; ALGEBRA; DEFECTS; STABILITY

Citation Formats

Cai, Y. Single Particle Linear and Nonlinear Dynamics. United States: N. p., 2004. Web. doi:10.2172/827009.
Cai, Y. Single Particle Linear and Nonlinear Dynamics. United States. https://doi.org/10.2172/827009
Cai, Y. Fri . "Single Particle Linear and Nonlinear Dynamics". United States. https://doi.org/10.2172/827009. https://www.osti.gov/servlets/purl/827009.
@article{osti_827009,
title = {Single Particle Linear and Nonlinear Dynamics},
author = {Cai, Y},
abstractNote = {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.},
doi = {10.2172/827009},
url = {https://www.osti.gov/biblio/827009}, journal = {},
number = ,
volume = ,
place = {United States},
year = {2004},
month = {6}
}