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:
-
[2];
- 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}
}
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Works referencing / citing this record:
A necessary and sufficient condition for the stability of linear Hamiltonian systems with periodic coefficients
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- Journal of Mathematical Physics, Vol. 60, Issue 2
A necessary and sufficient condition for the stability of linear Hamiltonian systems with periodic coefficients
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