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IHEP 96 - 7
(in English) | |
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| S.V. Ivanov | ||
| Impedance Treatment of Longitudinal Coupled-Bunch Feedbacks in a Proton Synchrotron | ||
| Protvino, 1996.- p.19, figs. 4, refs.:6. | ||
Characteristic equation of coupled-bunch motion of a beam governed by a feedback (FB) is given to find the beam FB stabilizing effect against coherent instabilities or, say, injection error damping rates. Quite a general FB using filter method is involved: it has two paths, the in-phase and quadrature (or amplitude and phase in a small-signal approach), with unequal gains; may employ distinct RF-bands to pick-up beam data and feed correction back to the beam. To account for cross-talk between various field and beam current harmonics inflicted by frequency down- and up-mixing inside the FB circuit, an impedance matrix (with, at most, three non-trivial elements per row) is introduced as a natural concept to gain insight into `FB \& beam' dynamics.
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