Potential-well bunch lengthening in electron storage rings
Abstract
The cubic equation derived by B. Zotter has been popularly used for electron storage rings to describe the scaling law of potential-well bunch lengthening. This equation has also often been used to calculate the effective impedance when the bunch lengthening is measured or simulated. This paper discusses the validity of Zotter's equation and presents an alternative but self-consistent equation for potential-well bunch lengthening. Its applications to predicting bunch lengthening and extracting effective impedance from bunch length measurements are also addressed.
- Publication:
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arXiv e-prints
- Pub Date:
- September 2023
- DOI:
- 10.48550/arXiv.2309.00808
- arXiv:
- arXiv:2309.00808
- Bibcode:
- 2023arXiv230900808Z
- Keywords:
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- Physics - Accelerator Physics
- E-Print:
- 6 pages, 4 figures, submitted to 20th Annual Meeting of Particle Accelerator Society of Japan (PASJ2023). arXiv admin note: text overlap with arXiv:2307.01286