/TUDa-NMAP-13

TU Darmstadt etit lecture on numerical methods of accelerator physics series 13

Primary LanguageHTML

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.


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