A Core-Particle Model for Periodically Focused Ion Beams with Intense Space-Charge
Abstract
A core-particle model is derived to analyze transverse orbits of test particles evolving in the presence of a core ion beam described by the KV distribution. The core beam has uniform density within an elliptical cross-section and can be applied to model both quadrupole and solenoidal focused beams in periodic or aperiodic lattices. Efficient analytical descriptions of electrostatic space-charge fields external to the beam core are derived to simplify model equations. Image charge effects are analyzed for an elliptical beam centered in a round, conducting pipe to estimate model corrections resulting from image charge nonlinearities. Transformations are employed to remove coherent utter motion associated with oscillations of the ion beam core due to rapidly varying, linear applied focusing forces. Diagnostics for particle trajectories, Poincare phase-space projections, and single-particle emittances based on these transformations better illustrate the effects of nonlinear forces acting on particles evolving outside the core. A numerical code has been written based on this model. Example applications illustrate model characteristics. The core-particle model described has recently been applied to identify physical processes leading to space-charge transport limits for an rms matched beam in a periodic quadrupole focusing channel [Lund and Chawla, Nuc. Instr. and Meth. A 561, 203more »
- Authors:
- Publication Date:
- Research Org.:
- Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 936679
- Report Number(s):
- UCRL-JRNL-223449
TRN: US0805629
- DOE Contract Number:
- W-7405-ENG-48
- Resource Type:
- Journal Article
- Journal Name:
- Nuclear Instruments and Methods A, vol. 577, N/A, February 24, 2007, pp. 173-185
- Additional Journal Information:
- Journal Volume: 577
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 43 PARTICLE ACCELERATORS; 70 PLASMA PHYSICS AND FUSION; DISTRIBUTION; ELECTROSTATICS; FOCUSING; ION BEAMS; OSCILLATIONS; PHASE SPACE; QUADRUPOLES; SPACE CHARGE; TEST PARTICLES; TRAJECTORIES; TRANSFORMATIONS; TRANSPORT
Citation Formats
Lund, S M, Barnard, J J, Bukh, B, Chawla, S R, and Chilton, S H. A Core-Particle Model for Periodically Focused Ion Beams with Intense Space-Charge. United States: N. p., 2006.
Web.
Lund, S M, Barnard, J J, Bukh, B, Chawla, S R, & Chilton, S H. A Core-Particle Model for Periodically Focused Ion Beams with Intense Space-Charge. United States.
Lund, S M, Barnard, J J, Bukh, B, Chawla, S R, and Chilton, S H. 2006.
"A Core-Particle Model for Periodically Focused Ion Beams with Intense Space-Charge". United States. https://www.osti.gov/servlets/purl/936679.
@article{osti_936679,
title = {A Core-Particle Model for Periodically Focused Ion Beams with Intense Space-Charge},
author = {Lund, S M and Barnard, J J and Bukh, B and Chawla, S R and Chilton, S H},
abstractNote = {A core-particle model is derived to analyze transverse orbits of test particles evolving in the presence of a core ion beam described by the KV distribution. The core beam has uniform density within an elliptical cross-section and can be applied to model both quadrupole and solenoidal focused beams in periodic or aperiodic lattices. Efficient analytical descriptions of electrostatic space-charge fields external to the beam core are derived to simplify model equations. Image charge effects are analyzed for an elliptical beam centered in a round, conducting pipe to estimate model corrections resulting from image charge nonlinearities. Transformations are employed to remove coherent utter motion associated with oscillations of the ion beam core due to rapidly varying, linear applied focusing forces. Diagnostics for particle trajectories, Poincare phase-space projections, and single-particle emittances based on these transformations better illustrate the effects of nonlinear forces acting on particles evolving outside the core. A numerical code has been written based on this model. Example applications illustrate model characteristics. The core-particle model described has recently been applied to identify physical processes leading to space-charge transport limits for an rms matched beam in a periodic quadrupole focusing channel [Lund and Chawla, Nuc. Instr. and Meth. A 561, 203 (2006)]. Further characteristics of these processes are presented here.},
doi = {},
url = {https://www.osti.gov/biblio/936679},
journal = {Nuclear Instruments and Methods A, vol. 577, N/A, February 24, 2007, pp. 173-185},
number = ,
volume = 577,
place = {United States},
year = {Wed Aug 02 00:00:00 EDT 2006},
month = {Wed Aug 02 00:00:00 EDT 2006}
}