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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:
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; 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. 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

Figures / Tables:

Figure 1 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.

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Works referenced in this record:

Fast head-tail instability with space charge
journal, August 1998


Erratum: Head-tail modes for strong space charge [Phys. Rev. ST Accel. Beams 12 , 044202 (2009)]
journal, October 2009


Transverse instability of a bunched beam with space charge and wakefield
journal, September 2011


Threshold of transverse mode coupling instability with arbitrary space charge
journal, November 2017


Head-tail modes for strong space charge
journal, April 2009


Two particle model for studying the effects of space-charge force on strong head-tail instabilities
journal, January 2016


Transverse modes of a bunched beam with space charge dominated impedance
journal, December 2009


    Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.