Self-consistent time dependent two dimensional and three dimensional space charge distributions with linear force

V. Danilov; S. Cousineau; S. Henderson; J. Holmes

doi:10.1103/PhysRevSTAB.6.094202

Self-consistent time dependent two dimensional and three dimensional space charge distributions with linear force

V. Danilov, S. Cousineau, S. Henderson, J. Holmes

Research output: Contribution to journal › Article › peer-review

21 Scopus citations

Abstract

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.

Original language	English
Article number	094202
Pages (from-to)	74-85
Number of pages	12
Journal	Physical Review Special Topics - Accelerators and Beams
Volume	6
Issue number	9
DOIs	https://doi.org/10.1103/PhysRevSTAB.6.094202
State	Published - 2003
Externally published	Yes

Funding

The authors thank A. Fedotov for useful discussions and help with references. This research was sponsored ?>by UT-Batelle, LLC, under Contract No. DE-AC05-00OR22725 for the U.S. Department of Energy. SNS is a partnership of six national laboratories: Argonne, Brookhaven, Jefferson, Lawrence Berkeley, Los Alamos, and Oak Ridge.

Funders	Funder number
UT-Batelle	DE-AC05-00OR22725
U.S. Department of Energy

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10.1103/PhysRevSTAB.6.094202

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Self-consistent time dependent two dimensional and three dimensional space charge distributions with linear force

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