# 402-0778-00L Particle Accelerator Physics and Modeling II

Semester | Spring Semester 2018 |

Lecturers | A. Adelmann |

Periodicity | yearly recurring course |

Language of instruction | English |

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 advanced concepts such as laser plasma wakefield acceleration. |

Objective | Model for nonlinear beam dynamics can be applied to new or existing particle accelerators. Some of the most important papers in the field are discussed (as part of the exercises). Advanced accelerator concepts are analysed and a toy model of a laser plasma wakefield accelerator is developed. |

Content | - Symplectic Maps and Higher Order Beam Dynamics - Taylor Modells and Differential Algebra - Lie Methods - Normal Forms - Coulomb Repulsion (Space Charge) as N-Body Problem - Coherent Synchrotron Radiation - Particle Collisions - Laser Plasma Wakefield Acceleration |

Lecture notes | Lecture notes |

Literature | * Beam Dynamics - A New Attitude and Framework E. Forest * Modern Map Methods in Particle Beam Physics M. Berz (http://bt.pa.msu.edu/pub/papers/AIEP108book/AIEP108book.pdf) |

Prerequisites / Notice | Ideally Particle Accelerator Physics and Modelling 1 (PAM-1), however at the beginning of the semester, a crash course is offered introducing the minimum level of particle accelerator modeling needed to follow. This lecture is also suited for PhD. Students. |