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Two topics in particle accelerator beams: Vlasov-Maxwell treatment of coherent synchrotron radiation and topological treatment of spin polarization

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Please use this identifier to cite or link to this item: http://hdl.handle.net/1928/10879

Two topics in particle accelerator beams: Vlasov-Maxwell treatment of coherent synchrotron radiation and topological treatment of spin polarization

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Title: Two topics in particle accelerator beams: Vlasov-Maxwell treatment of coherent synchrotron radiation and topological treatment of spin polarization
Author: Heinemann, Klaus
Advisor(s): Ellison, James
Committee Member(s): Barber, Desmond
Boyer, Charles
Hagstrom, Thomas
Lau, Stephen
Department: University of New Mexico. Dept. of Mathematics and Statistics
Subject: Maxwell equations
Vlasov equation
Free Electron Laser
Spin polarized beams
Topology
Dynamical Systems
LC Subject(s): Beam dynamics--Computer Simulation
Synchrotron radiation--Computer simulation
Polarization (Nuclear physics)--Computer simulation
Electron beams--Computers simulation
Topological dynamics
Degree Level: Doctoral
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.
Graduation Date: May 2010
URI: http://hdl.handle.net/1928/10879


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