Applications of Lagrangian field theory in the computational modeling of beam-wave interactions
Abstract/Contents
- Abstract
- Modeling the non-linear interaction between intense charged particle beams and electromagnetic fields in beam-based radiation sources, from klystrons to free electron lasers, has historically been addressed using semi-analytical simulation tools. Through recent advances in manufacturing and materials science, we can now realize structures and interaction topologies which are vastly more complex than in current devices -- unintuitive configurations with the potential to overcome traditional limits in interaction efficiency and output power. These device concepts lie beyond the assumptions of semi-analytical models, however. Their multi-scale nature, spanning time scales from picoseconds to milliseconds, also renders them computationally intractable to model with more general, transient solvers (particle-in-cell codes). To address this issue, we have developed a steady-state solver which applies abstract concepts from Lagrangian mechanics, classical and quantum field theory and differential geometry to the concrete challenge of full-wave electromagnetic finite element analysis. Through this unique field theory perspective, we overcome several open problems in beam-wave modeling, from the interpolation of the current density from particle trajectories (where we demonstrate an 80 fold improvement in accuracy over existing state of the art approaches), to the revival of the traditional nodal finite element framework for the solution of electromagnetic fields. This approach is also computationally efficient, converging to the steady-state solution in less than ten iterations compared to the thousands to billions of time steps required by a transient solver.
Description
| Type of resource | text |
|---|---|
| Form | electronic resource; remote; computer; online resource |
| Extent | 1 online resource. |
| Place | California |
| Place | [Stanford, California] |
| Publisher | [Stanford University] |
| Copyright date | 2019; ©2019 |
| Publication date | 2019; 2019 |
| Issuance | monographic |
| Language | English |
Creators/Contributors
| Author | Gold, Alysson Rebecca |
|---|---|
| Degree supervisor | Tantawi, Sami |
| Thesis advisor | Tantawi, Sami |
| Thesis advisor | Fan, Shanhui, 1972- |
| Thesis advisor | Pianetta, Piero |
| Thesis advisor | Raubenheimer, Tor O |
| Degree committee member | Fan, Shanhui, 1972- |
| Degree committee member | Pianetta, Piero |
| Degree committee member | Raubenheimer, Tor O |
| Associated with | Stanford University, Department of Electrical Engineering. |
Subjects
| Genre | Theses |
|---|---|
| Genre | Text |
Bibliographic information
| Statement of responsibility | Alysson Rebecca Gold. |
|---|---|
| Note | Submitted to the Department of Electrical Engineering. |
| Thesis | Thesis Ph.D. Stanford University 2019. |
| Location | electronic resource |
Access conditions
- Copyright
- © 2019 by Alysson Rebecca Gold
- License
- This work is licensed under a Creative Commons Attribution Non Commercial 3.0 Unported license (CC BY-NC).
Also listed in
Loading usage metrics...