title: 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. 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. 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.affiliation: Department of Physics, Ulsan National Institute of Science and Technology, Ulsan 44919, Korea.
authors.forename: Moses
authors.initials: M
authors.lastname: Chung
authors.affiliation: Plasma Physics Laboratory, Princeton University, Princeton, New Jersey 08543, USA.|Department of Modern Physics, University of Science and Technology of China, Hefei, Anhui 230026, People's Republic of China.
authors.forename: Hong
authors.initials: H
authors.lastname: Qin
authors.affiliation: Plasma Physics Laboratory, Princeton University, Princeton, New Jersey 08543, USA.
authors.forename: Ronald C
authors.initials: RC
authors.lastname: Davidson
authors.affiliation: GSI Helmholtzzentrum für Schwerionenforschung GmbH, Planckstrasse 1, D-64291 Darmstadt, Germany.
authors.forename: Lars
authors.initials: L
authors.lastname: Groening
authors.affiliation: GSI Helmholtzzentrum für Schwerionenforschung GmbH, Planckstrasse 1, D-64291 Darmstadt, Germany.
authors.forename: Chen
authors.initials: C
authors.lastname: Xiao