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Modeling and Numerical Simulation of Space Charge Dominated Beams in the Paraxial Approximation
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.
https://hal.inria.fr/inria-00070460
Contributor : Rapport de Recherche Inria <>
Submitted on : Friday, May 19, 2006 - 8:34:25 PM
Last modification on : Tuesday, March 2, 2021 - 5:12:05 PM
Long-term archiving on: : Sunday, April 4, 2010 - 9:16:05 PM
Contributor : Rapport de Recherche Inria <>
Submitted on : Friday, May 19, 2006 - 8:34:25 PM
Last modification on : Tuesday, March 2, 2021 - 5:12:05 PM
Long-term archiving on: : Sunday, April 4, 2010 - 9:16:05 PM