Bunched beam longitudinal instability: Coherent dipole motion
In this paper, the authors present a new formulation for the longitudinal coherent dipole motion, where a quadrature response of the environmental impedance is shown to be the effective longitudinal impedance for the beam instability. The Robinson-Pedersen formulation for the longitudinal dipole motion is also presented, the difference of the two approaches is discussed in the comparison. The results by using the Sacherer integral equation for the coherent dipole motion can generate the same results as by using the other two approaches, except for a scaling difference. The formulation is further generalized to the rigid bunch motion using signal analysis method, where a form factor shows up naturally. Finally, the formulation is applied to solve the coupled bunch instabilities. Examples of the AGS Booster and the AGS coupled bunch instabilities are used to illustrate the applications of the formulation.
- Research Organization:
- Brookhaven National Lab., Upton, NY (United States). Alternating Gradient Synchrotron Dept.
- Sponsoring Organization:
- USDOE, Washington, DC (United States)
- DOE Contract Number:
- AC02-76CH00016
- OSTI ID:
- 10152964
- Report Number(s):
- BNL-48905; AGS/AD-93-6; ON: DE93013344; TRN: 93:001187
- Resource Relation:
- Other Information: PBD: 23 Apr 1993
- Country of Publication:
- United States
- Language:
- English
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A new formulation of longitudinal coherent instabilities
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