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Title: 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:
ORCiD logo [1]
  1. Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
Publication Date:
Research Org.:
Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
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; 1697126
Grant/Contract Number:  
AC02-07CH11359; AC02-07CH11395
Resource Type:
Published Article
Journal Name:
Physical Review Accelerators and Beams
Additional Journal Information:
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. doi: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. doi: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 = {2019},
month = {4}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1103/PhysRevAccelBeams.22.044401

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