Effect of bunch shape on its transverse mode coupling instability spectrum and threshold with high space charge
Abstract
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.
- Authors:
- Publication Date:
- Research Org.:
- Fermi National Accelerator Laboratory (FNAL), Batavia, IL (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), High Energy Physics (HEP)
- OSTI Identifier:
- 1509935
- Alternate Identifier(s):
- OSTI ID: 1488604
- Report Number(s):
- arXiv:1810.02458; FERMILAB-PUB-18-562-APC
Journal ID: ISSN 2469-9888; PRABCJ; 044401
- Grant/Contract Number:
- AC02-07CH11395; AC02-07CH11359
- Resource Type:
- Published Article
- Journal Name:
- Physical Review Accelerators and Beams
- Additional Journal Information:
- Journal Name: Physical Review Accelerators and Beams Journal Volume: 22 Journal Issue: 4; Journal ID: ISSN 2469-9888
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 43 PARTICLE ACCELERATORS
Citation Formats
Balbekov, V. Effect of bunch shape on its transverse mode coupling instability spectrum and threshold with high space charge. United States: N. p., 2019.
Web. doi:10.1103/PhysRevAccelBeams.22.044401.
Balbekov, V. Effect of bunch shape on its transverse mode coupling instability spectrum and threshold with high space charge. United States. https://doi.org/10.1103/PhysRevAccelBeams.22.044401
Balbekov, V. Tue .
"Effect of bunch shape on its transverse mode coupling instability spectrum and threshold with high space charge". United States. https://doi.org/10.1103/PhysRevAccelBeams.22.044401.
@article{osti_1509935,
title = {Effect of bunch shape on its transverse mode coupling instability spectrum and threshold with high space charge},
author = {Balbekov, V.},
abstractNote = {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.},
doi = {10.1103/PhysRevAccelBeams.22.044401},
journal = {Physical Review Accelerators and Beams},
number = 4,
volume = 22,
place = {United States},
year = {Tue Apr 30 00:00:00 EDT 2019},
month = {Tue Apr 30 00:00:00 EDT 2019}
}
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1103/PhysRevAccelBeams.22.044401
https://doi.org/10.1103/PhysRevAccelBeams.22.044401
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Cited by: 2 works
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Figures / Tables:
Figure 1: Some eigentunes of Eq. (18) against the referred wake strength. The red line M0,1 illustrates coalescence of the lowest head-tail pair, the blue line M2,3 does this for the next pair.
All figures and tables
(7 total)
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Works referenced in this record:
Fast head-tail instability with space charge
journal, August 1998
- Blaskiewicz, M.
- Physical Review Special Topics - Accelerators and Beams, Vol. 1, Issue 4
Erratum: Head-tail modes for strong space charge [Phys. Rev. ST Accel. Beams 12 , 044202 (2009)]
journal, October 2009
- Burov, A.
- Physical Review Special Topics - Accelerators and Beams, Vol. 12, Issue 10
Transverse instability of a bunched beam with space charge and wakefield
journal, September 2011
- Balbekov, V.
- Physical Review Special Topics - Accelerators and Beams, Vol. 14, Issue 9
Threshold of transverse mode coupling instability with arbitrary space charge
journal, November 2017
- Balbekov, V.
- Physical Review Accelerators and Beams, Vol. 20, Issue 11
Head-tail modes for strong space charge
journal, April 2009
- Burov, A.
- Physical Review Special Topics - Accelerators and Beams, Vol. 12, Issue 4
Two particle model for studying the effects of space-charge force on strong head-tail instabilities
journal, January 2016
- Chin, Yong Ho; Chao, Alexander Wu; Blaskiewicz, Michael M.
- Physical Review Accelerators and Beams, Vol. 19, Issue 1
Transverse modes of a bunched beam with space charge dominated impedance
journal, December 2009
- Balbekov, V.
- Physical Review Special Topics - Accelerators and Beams, Vol. 12, Issue 12
Figures / Tables found in this record:
Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.