Relativistic Electrodynamics
Modul No.
18-kb-2020
Module Cycle
WiSe
Learning Content
Basics of tensor analysis (tensor fields, transformation behavior, invariance, Ricci calculus, covariant derivative, differential operators), Lorentz transform, fundamental relativistic effects (time dilation, length contraction, Doppler effect), covariant form of Maxwell’s equations, induction law from relativistic point of view, relation to relativistic mechanics, four-vectors and four-tensors, electromagnetic energy-momentum tensor and Maxwell’s stress tensor, applications of relativistic electrodynamics.
Please Note
This lecture can be used as a replacement for the discontinued lecture “Beschleunigung geladener Teilchen im elektromagnetischen Feld”.
Current Information
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Radio Frequency Systems for Particle Accelerators
Modul No.
18-kb-2040
Module Cycle
SoSe
Learning Content
Repetition of transmission lines and waveguides, S-parameters. RF components, RF measurements, cavities loaded with magnetically permeable materials, cavities based on classical resonators, cavity equivalent circuit, beam loading, basic terms and definitions of nonlinear dynamics, RF acceleration, longitudinal phase space, particle tracking equations, Liouville's theorem, adiabaticity, RF systems for special beam manipulations, closed-loop and open-loop control (LLRF) systems.
Current Information
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Project Seminar / Advanced Project Seminar Particle Accelerator Technology
Modul No.
18-kb-1020 / 18-kb-2030
Module Cycle
WiSe/SoSe
Learning Content
Work on a more complex project in the field of particle accelerator technology. Depending on the specific problem, measurement aspects, analytical aspects, and simulation aspects will be included.
Please Note
If you are interested in this course, please enroll via TUCaN before the lectures start. An invitation mail to a Kick-Off Meeting in the first week will be sent to the enrolled students via TUCaN.
After the Kick-Off Meeting took place, a registration for the exam in TUCaN is mandatory.
After the course has started, there are no further enrollments possible.
The project is organized as a team work challenge. Therefore, interested students shall jointly register for the course and jointly participate in the kickoff meeting. The team typically consists of three students working on the project.
Current Information
In SoSe 2025 the topic is “measuring of a normal-conducting buncher cavity and conceptual design of an RF control system”.
The MESA particle accelerator is currently being constructed as part of the excellence cluster “PRISMA+” at the Johannes Gutenberg university in Mainz. It is an “energy recovery linac” (ERL, linac: linear accelerator), a state-of-the-art particle accelerator type allowing MESA to accelerate large amounts of electrons close to the speed of light. As such, it will be possible to use the MESA accelerator as a tool to examine phenomena which otherwise would be very difficult to detect, such as high-precision examinations of the properties of the electro-weak interaction or dark matter.
The acceleration of the charged particles takes place in so called “cavities”. These supply energy to the passing particles using electric fields oscillating at high frequencies. In order to meet the high quality requirements of the particle beam, a closed-loop control of amplitude and phase of these oscillations is required. Hereby, disturbances are induced for example by the particle beam itself.
As part of the Advance Project Seminar Particle Accelerator Technology in the summer term of 2025, a concept for such a control systems should be designed and analyzed based on an existing cavity. To this end, in a first step the behavior of the componend will be measured. Afterwards, it is the goal to construct a simulation model of the control which incorporates the actual behavior of the system and to examine this model from the view of closed-loop control system engineering. Primary difficulties are the high quality demands placed on the control as well as the high operating frequencies of 1,3 GHz / 2,6 GHz.
Hence, the Advanced Project Seminar Particle Accelerator offers the possibility to gain practical experience in a highly topical field of application. Skills in the areas of closed-loop control-, system- and radio-frequency engineering, signal processing as well as a view into the world of particle acceleration can be obtained. At the same time, a contribution to ongoing research work can be made.
Completed Projects
A list of completed projects can be found here: Student Projects
Scientific Working and Writing (formerly Proseminar Accelerator Technology)
Modul No.
18-kb-1001 (formerly 18-kb-1000)
Module Cycle
WiSe/SoSe
Learning Content
This course offers knowledge that is necessary to deal with scientific literature. After initial training in original scientific literature to a given topic the students prepare a summary of a scientific paper and present their results.
Current Information
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Completed Seminars
A list of completed seminars can be found here: Student Projects
