Numerical Methods of Accelerator Physics

Summary of MSc lecture series at TU Darmstadt, etit, TEMF by Adrian Oeftiger in 2022/23.

Thirteenth part of a jupyter notebook lecture series, held on 03.02.2023.

Find the rendered PDF slides here.

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Overview Lecture Series

1. Lecture 01: basic concepts (accelerators, time scales, modelling a pendulum)
2. Lecture 02: basic concepts (rms emittance, emittance preservation & filamentation, discrete frequency analysis & NAFF)
3. Lecture 03: basic concepts (chaos and early indicators, numerical artefacts)
4. Lecture 04: longitudinal beam dynamics (acceleration with rf cavities, longitudinal tracking equations)
5. Lecture 05: longitudinal beam dynamics (Monte-Carlo technique, synchrotron Hamiltonian, phase space initialisation)
6. Lecture 06: longitudinal beam dynamics (simulating transition crossing, equilibrium distributions, emittance growth)
7. Lecture 07: transverse beam dynamics (dipole / quadrupole / sextupole magnetic fields, betatron matrices)
8. Lecture 08: transverse beam dynamics (Hill differential equation, Floquet theory, optics, off-momentum particles)
9. Lecture 09: longitudinal tomography
10. Lecture 10: closed orbit correction (local and global)
11. Lecture 11: reinforcement learning (Q-learning, actor-critic methods)
12. Lecture 12: collective effects (space charge, lambda-prime model, microwave instability)
13. Lecture 13: summary
14. Lecture 14: Bayesian optimisation