Generalized Kapchinskij-Vladimirskij Distribution and Beam Matrix for Phase-Space Manipulations of High-Intensity Beams
Abstract
In an uncoupled linear lattice system, the Kapchinskij-Vladimirskij (KV) distribution formulated on the basis of the single-particle Courant-Snyder invariants has served as a fundamental theoretical basis for the analyses of the equilibrium, stability, and transport properties of high-intensity beams for the past several decades. Recent applications of high-intensity beams, however, require beam phase-space manipulations by intentionally introducing strong coupling. Here in this Letter, we report the full generalization of the KV model by including all of the linear (both external and space-charge) coupling forces, beam energy variations, and arbitrary emittance partition, which all form essential elements for phase-space manipulations. The new generalized KV model yields spatially uniform density profiles and corresponding linear self-field forces as desired. Finally, the corresponding matrix envelope equations and beam matrix for the generalized KV model provide important new theoretical tools for the detailed design and analysis of high-intensity beam manipulations, for which previous theoretical models are not easily applicable.
- Authors:
-
- Ulsan National Inst. of Science and Technology, Ulsan (Korea)
- Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States); Univ. of Science and Technology of China, Hefei (China). Dept. of Modern Physics
- Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
- GSI-Helmholtzzentrum fur Schwerionenforschung, Darmstadt (Germany)
- Publication Date:
- Research Org.:
- Princeton Plasma Physics Laboratory (PPPL), Princeton, NJ (United States)
- Sponsoring Org.:
- USDOE; National Research Foundation of Korea (NRF)
- OSTI Identifier:
- 1340281
- Alternate Identifier(s):
- OSTI ID: 1333344
- Grant/Contract Number:
- NRF-2015R1D1A1A01061074; NRF-2016R1A5A1013277; AC02-09CH11466
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review Letters
- Additional Journal Information:
- Journal Volume: 117; Journal Issue: 22; Journal ID: ISSN 0031-9007
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; high-intensity beams
Citation Formats
Chung, Moses, Qin, Hong, Davidson, Ronald C., Groening, Lars, and Xiao, Chen. Generalized Kapchinskij-Vladimirskij Distribution and Beam Matrix for Phase-Space Manipulations of High-Intensity Beams. United States: N. p., 2016.
Web. doi:10.1103/PhysRevLett.117.224801.
Chung, Moses, Qin, Hong, Davidson, Ronald C., Groening, Lars, & Xiao, Chen. Generalized Kapchinskij-Vladimirskij Distribution and Beam Matrix for Phase-Space Manipulations of High-Intensity Beams. United States. https://doi.org/10.1103/PhysRevLett.117.224801
Chung, Moses, Qin, Hong, Davidson, Ronald C., Groening, Lars, and Xiao, Chen. Wed .
"Generalized Kapchinskij-Vladimirskij Distribution and Beam Matrix for Phase-Space Manipulations of High-Intensity Beams". United States. https://doi.org/10.1103/PhysRevLett.117.224801. https://www.osti.gov/servlets/purl/1340281.
@article{osti_1340281,
title = {Generalized Kapchinskij-Vladimirskij Distribution and Beam Matrix for Phase-Space Manipulations of High-Intensity Beams},
author = {Chung, Moses and Qin, Hong and Davidson, Ronald C. and Groening, Lars and Xiao, Chen},
abstractNote = {In an uncoupled linear lattice system, the Kapchinskij-Vladimirskij (KV) distribution formulated on the basis of the single-particle Courant-Snyder invariants has served as a fundamental theoretical basis for the analyses of the equilibrium, stability, and transport properties of high-intensity beams for the past several decades. Recent applications of high-intensity beams, however, require beam phase-space manipulations by intentionally introducing strong coupling. Here in this Letter, we report the full generalization of the KV model by including all of the linear (both external and space-charge) coupling forces, beam energy variations, and arbitrary emittance partition, which all form essential elements for phase-space manipulations. The new generalized KV model yields spatially uniform density profiles and corresponding linear self-field forces as desired. Finally, the corresponding matrix envelope equations and beam matrix for the generalized KV model provide important new theoretical tools for the detailed design and analysis of high-intensity beam manipulations, for which previous theoretical models are not easily applicable.},
doi = {10.1103/PhysRevLett.117.224801},
journal = {Physical Review Letters},
number = 22,
volume = 117,
place = {United States},
year = {Wed Nov 23 00:00:00 EST 2016},
month = {Wed Nov 23 00:00:00 EST 2016}
}
Web of Science
Works referenced in this record:
Circular modes for flat beams in the LHC
journal, June 2013
- Burov, A.
- Physical Review Special Topics - Accelerators and Beams, Vol. 16, Issue 6
Generalized Courant-Snyder Theory for Charged-Particle Dynamics in General Focusing Lattices
journal, September 2013
- Qin, Hong; Davidson, Ronald C.; Chung, Moses
- Physical Review Letters, Vol. 111, Issue 10
Photoinjector generation of a flat electron beam with transverse emittance ratio of 100
journal, March 2006
- Piot, P.; Sun, Y. -E; Kim, K. -J.
- Physical Review Special Topics - Accelerators and Beams, Vol. 9, Issue 3
Transverse-to-longitudinal emittance exchange to improve performance of high-gain free-electron lasers
journal, October 2006
- Emma, P.; Huang, Z.; Kim, K. -J.
- Physical Review Special Topics - Accelerators and Beams, Vol. 9, Issue 10
Theory of the alternating-gradient synchrotron
journal, January 1958
- Courant, E. D.; Snyder, H. S.
- Annals of Physics, Vol. 3, Issue 1
Generation of angular-momentum-dominated electron beams from a photoinjector
journal, December 2004
- Sun, Y. -E; Piot, P.; Kim, K. -J.
- Physical Review Special Topics - Accelerators and Beams, Vol. 7, Issue 12
Round-to-flat transformation of angular-momentum-dominated beams
journal, October 2003
- Kim, Kwang-Je
- Physical Review Special Topics - Accelerators and Beams, Vol. 6, Issue 10
First Observation of the Exchange of Transverse and Longitudinal Emittances
journal, June 2011
- Ruan, J.; Johnson, A. S.; Lumpkin, A. H.
- Physical Review Letters, Vol. 106, Issue 24
Class of Generalized Kapchinskij-Vladimirskij Solutions and Associated Envelope Equations for High-Intensity Charged-Particle Beams
journal, February 2013
- Qin, Hong; Davidson, Ronald C.
- Physical Review Letters, Vol. 110, Issue 6
Emittance preservation during bunch compression with a magnetized beam
journal, March 2016
- Stratakis, Diktys
- Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Vol. 811
Six-dimensional muon beam cooling using a homogeneous absorber: Concepts, beam dynamics, cooling decrements, and equilibrium emittances in a helical dipole channel
journal, April 2005
- Derbenev, Yaroslav; Johnson, Rolland P.
- Physical Review Special Topics - Accelerators and Beams, Vol. 8, Issue 4
Analytical methods for describing charged particle dynamics in general focusing lattices using generalized Courant-Snyder theory
journal, April 2014
- Qin, Hong; Davidson, Ronald C.; Burby, Joshua W.
- Physical Review Special Topics - Accelerators and Beams, Vol. 17, Issue 4
Single-knob beam line for transverse emittance partitioning
journal, April 2013
- Xiao, C.; Kester, O. K.; Groening, L.
- Physical Review Special Topics - Accelerators and Beams, Vol. 16, Issue 4
Calculation of beam envelopes in storage rings and transport systems in the presence of transverse space charge effects and coupling
journal, July 1988
- Borchardt, I.; Karantzoulis, E.; Mais, H.
- Zeitschrift für Physik C Particles and Fields, Vol. 39, Issue 3
Hamiltonian analysis of transverse beam dynamics in high-brightness photoinjectors
journal, October 2006
- Wang, Chun-xi
- Physical Review E, Vol. 74, Issue 4
Analysis of continuously rotating quadrupole focusing channels using generalized Courant-Snyder theory
journal, August 2013
- Chung, Moses; Qin, Hong; Gilson, Erik P.
- Physics of Plasmas, Vol. 20, Issue 8
Transverse to longitudinal emittance exchange
journal, August 2002
- Cornacchia, M.; Emma, P.
- Physical Review Special Topics - Accelerators and Beams, Vol. 5, Issue 8
Concept for controlled transverse emittance transfer within a linac ion beam
journal, June 2011
- Groening, L.
- Physical Review Special Topics - Accelerators and Beams, Vol. 14, Issue 6
Rectilinear six-dimensional ionization cooling channel for a muon collider: A theoretical and numerical study
journal, March 2015
- Stratakis, Diktys; Palmer, Robert B.
- Physical Review Special Topics - Accelerators and Beams, Vol. 18, Issue 3
Experimental Proof of Adjustable Single-Knob Ion Beam Emittance Partitioning
journal, December 2014
- Groening, L.; Maier, M.; Xiao, C.
- Physical Review Letters, Vol. 113, Issue 26
Generalized Kapchinskij-Vladimirskij Distribution and Envelope Equation for High-Intensity Beams in a Coupled Transverse Focusing Lattice
journal, November 2009
- Qin, Hong; Chung, Moses; Davidson, Ronald C.
- Physical Review Letters, Vol. 103, Issue 22
Circular modes, beam adapters, and their applications in beam optics
journal, July 2002
- Burov, Alexey; Nagaitsev, Sergei; Derbenev, Yaroslav
- Physical Review E, Vol. 66, Issue 1
Betatron motion with coupling of horizontal and vertical degrees of freedom
journal, October 2010
- Lebedev, V. A.; Bogacz, S. A.
- Journal of Instrumentation, Vol. 5, Issue 10
RMS Envelope Equations with Space Charge
journal, January 1971
- Sacherer, Frank J.
- IEEE Transactions on Nuclear Science, Vol. 18, Issue 3
Beam Dynamics in High Energy Particle Accelerators
book, January 2014
- Wolski, Andrzej
- World Scientific
Works referencing / citing this record:
A necessary and sufficient condition for the stability of linear Hamiltonian systems with periodic coefficients
journal, February 2019
- Qin, Hong
- Journal of Mathematical Physics, Vol. 60, Issue 2
A necessary and sufficient condition for the stability of linear Hamiltonian systems with periodic coefficients
text, January 2018
- Qin, Hong
- arXiv