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Title: Feedback control of multibunch instabilities

Journal Article · · AIP Conference Proceedings (American Institute of Physics); (United States)
DOI:https://doi.org/10.1063/1.41982· OSTI ID:7109280
 [1]
  1. Advanced Photon Source, Argonne National Laboratory, Argonne, Illinois 60439 (United States)

This lecture is intended to be an introduction to the use of feedback control to counteract multibunch instabilities. Furthermore, the intent is to make the most direct connection possible between feedback system design and the linear equations of motion of a single particle in an accelerator. Descriptions of the electronic design and considerations of gain versus stability have been treated in the literature (1,2,3) and will be glossed over in this lecture. The exposition is aimed at an audience with reasonable background in linear charged particle optics and minimal familiarity with circuit theory and electronics design. We begin with a brief description of the sources of instability and a description of the function of a feedback system in terms of the equation of motion of a beam bunch. We will try to list the fundamentals of the design process of a feedback system in such a way as to give the reader a framework within which to evaluate the subsequent material. Section 2 develops simple definitions of feedback system performance parameters: damping time constant, gain, and power requirements. Sections 3 and 4 give a perspective on feedback signal processing, using several betatron damping systems to exemplify time domain signal processing. Section 5 views the signal processing problem in frequency domain, using the CERN PS Booster longitudinal damper as an example.

OSTI ID:
7109280
Journal Information:
AIP Conference Proceedings (American Institute of Physics); (United States), Vol. 249:1; ISSN 0094-243X
Country of Publication:
United States
Language:
English