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Particle Accelerator Physics and Modeling II
Last Updated: 2026-02-05 16:07:08
Abstract
The effect of nonlinearities on the beam dynamics of charged particles will be discussed. For the nonlinear beam transport, Lie-Methods in combination with differential algebra (DA) and truncated power series (TPS) will be introduced. In the second part we will discuss surrogate model construction for such non-linear dynamical systems using neural networks and polynomial chaos expansion.
Objective
Models for nonlinear beam dynamics can be applied to new or existing particle accelerators. You create Python based surrogate models of dynamical systems, such as charged particle accelerators using Keras and Tensorflow.
Content
- Symplectic Maps and Higher Order Beam Dynamics - Taylor Modells and Differential Algebra - Lie Methods - Normal Forms - Surrogate Models for dynamical systems - Surrogate model based neural networks - Surrogate model based polynomial chaos - Uncertanty quantification of dynamical systems
Resources
Lecture Notes
Lecture notes
Literature
* Modern Map Methods in Particle Beam Physics M. Berz ( http://bt.pa.msu.edu/pub/papers/AIEP108book/AIEP108book.pdf )
Learning Materials (Links)
- Moodle course
- Moodle-Kurs / Moodle course
- Literature
- Skript
General Information
- Language
- English
- Levels
- MSC
- Frequency
- Yearly recurring
Examination
- Type
- session examination
- Mode
- oral 30 minutes
Course Components
| Type | Title | Time & Place | Hours |
|---|---|---|---|
| lecture | Particle Accelerator Physics and Modeling II |
|
2 h weekly |
| exercise | Particle Accelerator Physics and Modeling II |
|
1 h weekly |
Offered In
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Physics (For the field of specialization `Physics' basic knowledge in quantum mechanics is required.)
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