Study of Collective Beam Instabilities using a Correleation-moment Analysis

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A general formalism for treating simultaneously the transverse coupled bunch and transverse coupled mode instabilities is presented. In this approach, the equations of motion of a coupled multi-bunch beam are expanded to yield a system of equations involving correlation-moments of the transverse and longitudinal motions. After a proper truncation, the system of equations is closed and can be solved. This approach allows us to formulate within one framework several known instability mechanisms including the single bunch mode coupling instability, the coupled bunch instability, the mode coupling instability, and the coupled mode coupled bunch instability as particular cases.

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Heifets, S. A. & Chao, A. W. October 24, 2006.

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A general formalism for treating simultaneously the transverse coupled bunch and transverse coupled mode instabilities is presented. In this approach, the equations of motion of a coupled multi-bunch beam are expanded to yield a system of equations involving correlation-moments of the transverse and longitudinal motions. After a proper truncation, the system of equations is closed and can be solved. This approach allows us to formulate within one framework several known instability mechanisms including the single bunch mode coupling instability, the coupled bunch instability, the mode coupling instability, and the coupled mode coupled bunch instability as particular cases.

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  • Journal Name: Phys.Rev.ST Accel.Beams 10:034402,2007

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  • Report No.: SLAC-PUB-12171
  • Grant Number: AC02-76SF00515
  • Office of Scientific & Technical Information Report Number: 894139
  • Archival Resource Key: ark:/67531/metadc888243

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  • October 24, 2006

Added to The UNT Digital Library

  • Sept. 22, 2016, 2:13 a.m.

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  • Sept. 26, 2017, 3:44 p.m.

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Heifets, S. A. & Chao, A. W. Study of Collective Beam Instabilities using a Correleation-moment Analysis, article, October 24, 2006; [Menlo Park, California]. (digital.library.unt.edu/ark:/67531/metadc888243/: accessed September 20, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.