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Modeling and Numerical Simulation of Space Charge Dominated Beams in the Paraxial Approximation

Francis Filbet 1 Eric Sonnendrücker 1, 2
1 CALVI - Scientific computation and visualization
IRMA - Institut de Recherche Mathématique Avancée, LSIIT - Laboratoire des Sciences de l'Image, de l'Informatique et de la Télédétection, Inria Nancy - Grand Est, IECL - Institut Élie Cartan de Lorraine
Abstract : This work is devoted to the modeling of space charge dominated particle beams in the paraxial approximation with several types of external focusing fields (uniform, periodic and alternating gradient). A solid mathematical background for numerical beam simulation is established. The Kapchinsky-Vladimirsky distribution which can be matched exactly or numerically to the focusing channel is first studied. Then the matched KV beam is used to approximately match arbitrary beams. Moreover Water-Bag and Maxwell Boltzmann beams are studied to give analytical solution for code validation. Finally, numerical simulations are presented in different configurations.
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https://hal.inria.fr/inria-00070460
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Submitted on : Friday, May 19, 2006 - 8:34:25 PM
Last modification on : Friday, February 4, 2022 - 3:19:17 AM
Long-term archiving on: : Sunday, April 4, 2010 - 9:16:05 PM

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  • HAL Id : inria-00070460, version 1

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Francis Filbet, Eric Sonnendrücker. Modeling and Numerical Simulation of Space Charge Dominated Beams in the Paraxial Approximation. [Research Report] RR-5547, INRIA. 2005, pp.31. ⟨inria-00070460⟩

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