CERN LHC Project Report 16 (1996)

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Transverse Instabilities in the LHC

J. Scott Berg

July 1996

Abstract:

I first summarize the impedance model that I will be using (this is compiled from the work of several other authors). I then use the methods described elsewhere [1] to determine mode coupling thresholds and growth rates of multibunch modes, including the effects of multibunch mode coupling (see [1]). The effects of feedback are also considered.

 
• 1 Parameters
• 2 Impedance Model
  • 2.1 Broadband Impedance
    • 2.1.1 Space charge
    • 2.1.2 Resonators
    • 2.1.3 Beam position monitors
    • 2.1.4 Abort kicker magnets
    • 2.1.5 Purely inductive
    • 2.1.6 Resistive wall
  • 2.2 Narrow-Band Impedance
    • 2.2.1 Septum cavities
    • 2.2.2 CMS experimental chamber
  • 2.3 Accelerating Cavities
• 3 Results
  • 3.1 Injection
    • 3.1.1 Single Bunch
    • 3.1.2 Multibunch Mode Growth Rates
    • 3.1.3 Feedback
    • 3.1.4 Multibunch Mode Coupling
  • 3.2 Collision
• 4 Conclusions
• 5 Acknowledgments
• References
• About this document ...