Lecture on beam instabilities
These lectures treat some of the common collective beam instability effects encountered in accelerators. In choosing the material for these lectures, it is attempted to introduce this subject with a more practical approach, instead of a more theoretical approach starting with first principles. After introducing the terminologies, emphasis will be placed on how to apply the lecture material to perform calculations and to make estimates of various instability effects. In the first half of the lectures, after briefly introducing the concepts of impedance and wake field, the authors will discuss a selected list of formulas for the impedances of various accelerator components. Detailed derivations are omitted, allowing time for the students to think through the process of how to apply the knowledge learned. The list of impedances to be covered include: space charge, resistive wall, resonator, wall roughness, and small perturbation on the vacuum chamber wall. Assuming impedances are known, the second half of the lectures addresses the question of how to calculate the power of beam heating, the growth rates, and the thresholds for a list of selected beam instability effects. Again with minimal detailed derivations, the aim is to introduce a collection of formulas, and apply them to linear as well as circular accelerators. The list of beam instability effects to be covered include: loss factor, beam break-up, BNS damping, bunch lengthening, resistive wall instability, head-tail instability, longitudinal head-tail instability, Landau damping, microwave instability, and mode coupling instability.
- Research Organization:
- SLAC National Accelerator Lab., Menlo Park, CA (United States)
- Sponsoring Organization:
- USDOE Office of Energy Research (ER) (US)
- DOE Contract Number:
- AC03-76SF00515
- OSTI ID:
- 753244
- Report Number(s):
- SLAC-PUB-8318; TRN: US0001869
- Resource Relation:
- Other Information: PBD: 21 Dec 1999
- Country of Publication:
- United States
- Language:
- English
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