NDLI: New theory of single bunch stability in a linac with quadrupole displacements

Content Provider	IEEE Xplore Digital Library
Author	Guignard, G. Hagel, J.
Copyright Year	1999
Description	Author affiliation: CERN, Geneva, Switzerland (Guignard, G.)
Abstract	The analytical treatment previously described by Guingard and Hagel (1998) has been extended to include the important effect of magnetic quadrupole transverse displacements, the chromatic variation of the magnetic focusing, the energy spread along the bunch and possible microwave quadrupoles, the last two in relation to BNS damping. Both, the longitudinal and transverse equations of motion are solved, the second by using the perturbation method with partial expansions developed for this theory. The localized nature of the quadrupole displacements is preserved by using thin lenses and the superposition principle for the kick effects. The causality principle applied to the downstream beam oscillations due to the kicks is introduced via Heaviside functions. The treatment presented provides formulae for the tuneshift in the bunch and first-order solutions for the transverse beam off-sets within the bunch. It presents a break-through in the recent efforts to solve the problem of the bunch stability theoretically, with realistic beam and linac models.
Starting Page	1635
Ending Page	1637
File Size	198606
Page Count	3
File Format	PDF
ISBN	0780355733
DOI	10.1109/PAC.1999.794205
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1999-03-27
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Stability Linear particle accelerator Integrodifferential equations Tail Magnetosphere Acceleration Chebyshev approximation Radio frequency Magnetic analysis Damping
Content Type	Text
Resource Type	Article

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