Abstract
The problem of transverse emittance blow-up from beam injection errors in synchrotrons with nonlinear feedback systems is considered. The relative emittance growth is calculated for linear and nonlinear feedback transfer functions. Effects of an increase of the damping decrement of the beam coherent oscillations and of a decrease of the coherent transverse amplitude spread of different bunches in case of the damper with a positive cubic term in the feedback transfer function are discussed.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
H. G. Hereward, “How Good is the R.M.S. as a Measure of a Beam Size?”, CERN/MPS/DL 69-15 (1969).
L. Vos, “Transverse Emittance Blow-Up from Double Errors in Proton Machines,” in Proc. of EPAC’98, June 1998 (Stockholm, 1998), p. 1365; http://www.JACoW.org.
V. M. Zhabitsky, I. L. Korenev, and L. A. Yudin, “Transverse Feedback System with Digital Filter,” in Proc. of PAC’93, May 1993 (Washington, DC, 1993), p. 2543; http://www.JACoW.org.
V. M. Zhabitsky, “Theory of a Transverse Feedback System with a Nonlinear Transfer Function,” in Proc. of EPAC’98, June 1998 (Stockholm, 1998), p. 1380; http://www.JACoW.org.
The LHC Design Report, Vol. I, Ch. 6, Sec. 6.4: “Transverse Damping and Feedback System (ADT)”; Ch. 5, Subsec. 5.5.1: “Emittance Growth Caused by Transverse Injection Oscillations” (CERN, 2004).
Author information
Authors and Affiliations
Corresponding author
Additional information
The text was submitted by the author in English.
Rights and permissions
About this article
Cite this article
Zhabitsky, V.M. Transverse emittance blow-up from beam injection errors in synchrotrons with nonlinear feedback systems. Phys. Part. Nuclei Lett. 5, 49–53 (2008). https://doi.org/10.1134/S154747710801007X
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S154747710801007X