Effect of bunch shape on its transverse mode coupling instability spectrum and threshold with high space charge
The transverse mode coupling instability of a bunched beam is investigated in the paper at different forms of the bunches, with space charge included. An equation of transverse motion of the bunch in the parabolic potential well of synchrotron oscillations is derived and analyzed. The bunch of constant density (flat bunch) is examined in detail to make a comparison with the square well model. It is shown that both models result in very close instability thresholds of the flat bunch. Then different form bunches are investigated in the parabolic potential well. It is shown that decrease of the bunch RMS length leads to the growth of its threshold, that is the flat bunch model gives only a minimal estimation of the threshold. The results are treated in terms of Landau damping due to a spread of the space charge tune shift.
- Research Organization:
- Fermi National Accelerator Laboratory (FNAL), Batavia, IL (United States)
- Sponsoring Organization:
- USDOE Office of Science (SC), High Energy Physics (HEP)
- Grant/Contract Number:
- AC02-07CH11395; AC02-07CH11359
- OSTI ID:
- 1509935
- Alternate ID(s):
- OSTI ID: 1488604
- Report Number(s):
- arXiv:1810.02458; FERMILAB-PUB-18-562-APC; PRABCJ; 044401
- Journal Information:
- Physical Review Accelerators and Beams, Journal Name: Physical Review Accelerators and Beams Vol. 22 Journal Issue: 4; ISSN 2469-9888
- Publisher:
- American Physical Society (APS)Copyright Statement
- Country of Publication:
- United States
- Language:
- English
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