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Elaborated Modeling of Synchrotron Motion in Vlasov-Fokker-Planck Solvers

Schönfeldt, P. 1; Boltz, T. 1; Mochihashi, A. 1; Leonard Steinmann, J. 1; Müller, A.-S.
1 Karlsruher Institut für Technologie (KIT)

Solving the Vlasov-Fokker-Planck equation is a well-tested approach to simulate dynamics of electron bunches self-interacting with their own wake-field. Typical implementations model the dynamics of a charge density in a damped harmonic oscillator, with a small perturbation due to collective effects. This description imposes some limits to the applicability: Because after a certain simulation time coherent synchrotron motion will be damped down, effectively only the incoherent motion is described. Furthermore – even though computed - the tune spread is typically masked by the use of a charge density instead of individual particles. As a consequence, some effects are not reproduced. In this contribution, we present methods that allow to consider single-particle motion, coherent synchrotron oscillations, non-linearities of the accelerating voltage, higher orders of the momentum compaction factor, as well as modulations of the accelerating voltage. We also provide exemplary studies – based on the KIT storage ring KARA (KArlsruhe Research Accelerator) - to show the potentiality of the methods.

Verlagsausgabe §
DOI: 10.5445/IR/1000087573
Veröffentlicht am 22.11.2018
Cover der Publikation
Zugehörige Institution(en) am KIT Institut für Beschleunigerphysik und Technologie (IBPT)
Laboratorium für Applikationen der Synchrotronstrahlung (LAS)
Publikationstyp Zeitschriftenaufsatz
Publikationsjahr 2018
Sprache Englisch
Identifikator ISSN: 1742-6588, 1742-6596
KITopen-ID: 1000087573
HGF-Programm 54.01.01 (POF III, LK 01) ps- und fs-Strahlen
Erschienen in Journal of physics / Conference Series
Verlag Institute of Physics Publishing Ltd (IOP Publishing Ltd)
Band 1067
Heft 6
Seiten Art. Nr.: 062025
Bemerkung zur Veröffentlichung 9th International Particle Accelerator Conference, IPAC 2018; J.W. Marriott Parq HotelVancouver; Canada; 29 April 2018 through 4 May 2018
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