Thresholds of longitudinal instability of bunched beam in the presence of dominant inductive impedance
Abstract
The paper studied thresholds of multipole instability of a bunch under the assumption that all its oscillation eigen-modes are completely determined by a dominating low-frequency inductance of the vacuum chamber. The acceptable value of its impedance is found to coincide through stability of microwave oscillations multiplied by the value of the relative inside-the-bunch spread of synchrotron frequencies. The effect of stationary space charge self-fields is also estimated.
- Publication:
-
Unknown
- Pub Date:
- 1991
- Bibcode:
- 1991tlib.rept.....B
- Keywords:
-
- Electrical Impedance;
- Inductance;
- Microwave Oscillators;
- Multipoles;
- Oscillations;
- Proton Beams;
- Synchrotrons;
- Systems Stability;
- Beam Interactions;
- Eigenvalues;
- Estimating;
- Low Frequencies;
- Space Charge;
- Stability;
- Vacuum Chambers;
- Atomic and Molecular Physics