Phys. Rev. ST Accel. Beams 6, 094202 (2003) [12 pages]Self-consistent time dependent two dimensional and three dimensional space charge distributions with linear forceSee Also: Erratum
Finding self-consistent distributions of beam particles interacting with each other via the space charge force is one of the challenges of accelerator physics. Exactly solvable models are used for simulation benchmarks, instability threshold calculations, etc. Since such distributions have been found only in one and two dimensions (Kapchinsky-Vladimirsky distribution), it is not possible to apply them to a general three dimensional motion. This paper shows how to construct new sets of self-consistent distributions, extending even to the three dimensional case. This article is available under the terms of the Creative Commons Attribution 3.0 License. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. © 2003 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevSTAB.6.094202
DOI:
10.1103/PhysRevSTAB.6.094202
PACS:
29.27.Bd, 41.75.–i
See AlsoErratum: V. Danilov, S. Cousineau, S. Henderson, and J. Holmes, Erratum: Self-consistent time dependent two dimensional and three dimensional space charge distributions with linear force [Phys. Rev. ST Accel. Beams 6, 094202 (2003)], Phys. Rev. ST Accel. Beams 11, 019901 (2008). |
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