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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