Single Particle Linear and Nonlinear Dynamics

doi:https://doi.org/10.2172/827009

Title: Single Particle Linear and Nonlinear Dynamics

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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:: Cai, Y

Publication Date:: 2004-06-25

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.

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                    Cai, Y. Single Particle Linear and Nonlinear Dynamics.  United States.  https://doi.org/10.2172/827009

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                    Cai, Y. Fri .  
        "Single Particle Linear and Nonlinear Dynamics".  United States.  https://doi.org/10.2172/827009.  https://www.osti.gov/servlets/purl/827009.

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@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}

}

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