Publication Date

6-28-2010

Abstract

This thesis has two parts. In the first part I present results from my studies of the Vlasov-Maxwell system which was developed, together with a code, in collaboration with Bassi, Ellison and Warnock. The emphasis is on the link between the theory and the self-consistent numerical computations performed by the code. The Vlasov-Maxwell system models electron beams, typically in synchrotron light sources. In the second part I present results from my studies of the dynamics of spin polarized beams. Here the emphasis is on improvements of the theoretical basis of beam simulations by using topological methods.

Degree Name

Mathematics

Level of Degree

Doctoral

Department Name

Mathematics & Statistics

First Advisor

Ellison, James

First Committee Member (Chair)

Barber, Desmond

Second Committee Member

Boyer, Charles

Third Committee Member

Hagstrom, Thomas

Fourth Committee Member

Lau, Stephen

Project Sponsors

United States Department of Energy (contract DE-FG02-99ER41104)

Language

English

Keywords

Beam dynamics--Computer Simulation, Synchrotron radiation--Computer simulation, Polarization (Nuclear physics)--Computer simulation, Electron beams--Computers simulation, Topological dynamics

Document Type

Dissertation

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