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Modelling Wave-Particle Interactions with high-m Guided Poloidal Waves
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- Author / Creator
- Whittall-Scherfee,Guy
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The development of accurate models of drift resonance between $H^+$ ions and Alfv\'enic ultra-low frequency (ULF) waves is crucial for understanding particle dynamics in the Earth's inner magnetosphere. However, full solutions to the wave equations are complex and approximations are required to derive numerical solutions. This thesis investigates the results obtained from one such approximation, focusing on the poloidal components of the wave, and reviews previously published results using the same assumption. These results are recreated and disagreements between the published results and the recreation are discussed. We use a full Lorentz particle integrator for test particle motion along with our analytic solutions to the field equations to analyze wave-particle resonance and the variation in particle invariants. We conclude that the poloidal mode approximation can lead to unrealistic magnetic fields aligned with the Earth's magnetic field, and in some cases, these fields can violate Faraday's Law.
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- Subjects / Keywords
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- Graduation date
- Fall 2020
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- Type of Item
- Thesis
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- Degree
- Master of Science
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- License
- Permission is hereby granted to the University of Alberta Libraries to reproduce single copies of this thesis and to lend or sell such copies for private, scholarly or scientific research purposes only. Where the thesis is converted to, or otherwise made available in digital form, the University of Alberta will advise potential users of the thesis of these terms. The author reserves all other publication and other rights in association with the copyright in the thesis and, except as herein before provided, neither the thesis nor any substantial portion thereof may be printed or otherwise reproduced in any material form whatsoever without the author's prior written permission.