A particle accelerator simulation which straddles the gap between multi-particle and moment codes is derived. The hybrid approach represents the
beam using macro-particles which contain discrete longitudinal coordinates
and transverse second moments. The discretization scheme for the macro-particles is derived using variational principles, as a natural extension of well
known variational approaches. This variational discretization allows for exact
transverse emittance conservation. The electrostatic self-potential is discrete
in the longitudinal direction and solved semi-analytically in the transverse
direction using integrated Green’s functions. The algorithm is implemented
and tested against both a moment and multi-particle code. / Graduate
Identifer | oai:union.ndltd.org:uvic.ca/oai:dspace.library.uvic.ca:1828/12036 |
Date | 27 August 2020 |
Creators | Jung, Paul Matthew |
Contributors | Baartman, Richard, Karlen, Dean Albert |
Source Sets | University of Victoria |
Language | English, English |
Detected Language | English |
Type | Thesis |
Format | application/pdf |
Rights | Available to the World Wide Web |
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