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Title: Three-dimensional envelope instability in periodic focusing channels

Journal Article · · Physical Review Accelerators and Beams

The space-charge driven envelope instability can be of great danger in high intensity accelerators and was studied using a two-dimensional (2D) envelope model and three-dimensional (3D) macroparticle simulations before. In this paper, we study the instability for a bunched beam using a three-dimensional envelope model in a periodic solenoid and radio-frequency (rf) focusing channel and a periodic quadrupole and rf focusing channel. This study shows that when the transverse zero current phase advance is below 90°, the beam envelope can still become unstable if the longitudinal zero current phase advance is beyond 90°. For the transverse zero current phase advance beyond 90°, the instability stopband width becomes larger with the increase of the longitudinal focusing strength and even shows different structure from the 2D case when the longitudinal zero current phase advance is beyond 90°. Breaking the symmetry of two longitudinal focusing rf cavities and the symmetry between the horizontal focusing and the vertical focusing in the transverse plane in the periodic quadrupole and rf channel makes the instability stopband broader. This suggests that a more symmetric accelerator lattice design might help reduce the range of the envelope instability in parameter space.

Research Organization:
Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)
Sponsoring Organization:
USDOE Office of Science (SC)
Grant/Contract Number:
AC02-05CH11231
OSTI ID:
1427329
Alternate ID(s):
OSTI ID: 1465449
Journal Information:
Physical Review Accelerators and Beams, Journal Name: Physical Review Accelerators and Beams Vol. 21 Journal Issue: 3; ISSN 2469-9888
Publisher:
American Physical SocietyCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 16 works
Citation information provided by
Web of Science

References (23)

Transverse beam compression on the Paul trap simulator experiment journal December 2007
Envelope instability and the fourth order resonance journal December 2014
RF Linear Accelerators book January 2008
Half-integer resonance crossing in high-intensity rings journal February 2002
Fourth order resonance of a high intensity linear accelerator journal May 2009
Space charge modeling of dense electron beams with large energy spreads journal June 2006
Experimental Evidence of the 90° Stop Band in the GSI UNILAC journal June 2009
A Paul trap configuration to simulate intense non-neutral beam propagation over large distances through a periodic focusing quadrupole magnetic field journal March 2000
Space charge induced beam instability in periodic focusing channel journal February 2015
Parametric instabilities in 3D periodically focused beams with space charge journal January 2017
Parametric resonances in intense one-dimensional beams propagating through a periodic focusing channel
  • Okamoto, Hiromi; Yokoya, Kaoru
  • Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Vol. 482, Issue 1-2 https://doi.org/10.1016/S0168-9002(01)01684-9
journal April 2002
Stability properties of the transverse envelope equations describing intense ion beam transport journal February 2004
Modeling of second order space charge driven coherent sum and difference instabilities journal October 2017
Interplay of space-charge fourth order resonance and envelope instability
  • Jeon, D.; Jang, J. H.; Jin, H.
  • Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Vol. 832 https://doi.org/10.1016/j.nima.2016.06.036
journal October 2016
Frequency map analysis of a three-dimensional particle in the core model of a high intensity linac journal December 2001
Stability of anisotropic beams with space charge journal April 1998
Coherent resonance stop bands in alternating gradient beam transport journal June 2017
RMS Envelope Equations with Space Charge journal January 1971
Revisiting the Longitudinal 90° Limit in High Intensity Linear Accelerators journal March 2017
Space-Charge Structural Instabilities and Resonances in High-Intensity Beams journal November 2015
Parametric collective resonances and space-charge limit in high-intensity rings journal September 2003
Experimental verification of resonance instability bands in quadrupole doublet focusing channels
  • Fukushima, K.; Ito, K.; Okamoto, H.
  • Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Vol. 733 https://doi.org/10.1016/j.nima.2013.05.101
journal January 2014
Parametric sum envelope instability of periodically focused intense beams journal September 2016

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Intensity limitations due to space charge for bunch compression in synchrotrons journal July 2018
Intensity limitations due to space charge for bunch compression in synchrotrons text January 2018

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43 PARTICLE ACCELERATORS