DocumentCode
1979952
Title
Computation of longitudinal bunched beam instability thresholds
Author
Baartman, R. ; D´Yachkov, M.
Author_Institution
TRIUMF, Vancouver, BC, Canada
fYear
1993
fDate
17-20 May 1993
Firstpage
3330
Abstract
An integral equation derived from the linearized Vlasov equation has been used to find the instability thresholds in the case of space-charge impedance alone for various distribution functions. It has been found that the thresholds for the instability which are caused by the coupling between m=±1 azimuthal modes may be obtained analytically for many practically used distributions. Moreover, the criterion determining these thresholds appears to be the same as that for thresholds beyond which no stationary distribution can be found
Keywords
Vlasov equation; beam handling techniques; particle beam diagnostics; azimuthal modes; integral equation; linearized Vlasov equation; longitudinal bunched beam instability thresholds; space-charge impedance; Eigenvalues and eigenfunctions; Frequency; Impedance; Integral equations; Page description languages; Physics; Potential well; Stability; Symmetric matrices; Synchrotrons;
fLanguage
English
Publisher
ieee
Conference_Titel
Particle Accelerator Conference, 1993., Proceedings of the 1993
Conference_Location
Washington, DC
Print_ISBN
0-7803-1203-1
Type
conf
DOI
10.1109/PAC.1993.309642
Filename
309642
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