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Generalized Kapchinskij-Vladimirskij Distribution and Beam Matrix for Phase-Space Manipulations of High-Intensity Beams

Journal Article · · Physical Review Letters
 [1];  [2];  [3];  [4];  [4]
  1. Ulsan National Inst. of Science and Technology, Ulsan (Korea)
  2. Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States); Univ. of Science and Technology of China, Hefei (China). Dept. of Modern Physics
  3. Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
  4. GSI-Helmholtzzentrum fur Schwerionenforschung, Darmstadt (Germany)
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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.

Research Organization:
Princeton Plasma Physics Laboratory (PPPL), Princeton, NJ (United States)
Sponsoring Organization:
USDOE; National Research Foundation of Korea (NRF)
Grant/Contract Number:
AC02-09CH11466
OSTI ID:
1340281
Alternate ID(s):
OSTI ID: 1333344
Journal Information:
Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 22 Vol. 117; ISSN 0031-9007; ISSN PRLTAO
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English

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Cited By (2)

A necessary and sufficient condition for the stability of linear Hamiltonian systems with periodic coefficients journal February 2019
A necessary and sufficient condition for the stability of linear Hamiltonian systems with periodic coefficients text January 2018

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70 PLASMA PHYSICS AND FUSION TECHNOLOGY
high-intensity beams