U.S. Particle Accelerator School

Applied Electromagnetism for Accelerator Components course

Sponsoring University:

Michigan State University


Applied Electromagnetism for Accelerator Components: Magnet and RF Cavity Design


Mauricio Lopes, Fermi National Accelerator Lab and Jeremiah Holzbauer, Argonne National Lab

Purpose and Audience
This course will focus on the theory and design of the two main components of accelerators: magnets and RF cavities. The class will be structured to give a good understanding of the underlying electromagnetics as well as the practical demands of component design. While this class is not intended to be a software tutorial, modeling software will be used extensively to give students hands-on experience with the process of designing these accelerator components. This course would be suitable for graduate students beginning their career in accelerator physics or a related field. This course could also be appropriate for technicians and engineers working in accelerator physics. 


It is strongly recommended that students applying for this course have been exposed to electromagnetism and classical mechanics at the graduate level. While this class will not require extensive derivation, students who do not have this background will find following the material quite challenging because of the more open-ended nature of the labs, homework, and final project.

It is the responsibility of the student to ensure that he or she meets the course prerequisites or has equivalent experience.

The objective of this course is to provide students with both theoretical and practical knowledge of magnet and RF cavity design. Upon completing this course, students will have been exposed to the mathematical underpinnings and the process of designing these components with the goal of preparing them for similar work in their future careers.

Instructional Method
This class will consist of a series of classroom lectures during the mornings with afternoons reserved for computer work. During the first week, the afternoons will consist of guided computer tutorials which will introduce students to basic design simulation tools and methods. Problem sets will be assigned during this week, due the following morning. The afternoon sections of the second week will be dedicated to the development of the students' design projects, the results of which will be presented on the final day of class. Both instructors will be available during the evenings to assist students with homework and projects. 

Course Content
This class will apply basic magnet and cavity theory to real world component design using modern simulations programs. Magnet and cavity theory will be presented to provide a rigorous foundation for this work. Component choice based on application will be discussed at length, as well as scaling and optimization schemes for design refinement and optimization. Geometry creation and simulation theory will be presented and put to use in a series of guided simulation assignments to expose all students to a variety of design processes. Each student will additionally complete and present a major design project selected from a provided list of examples. Example projects include design of quarter wave, half wave, spoke, and elliptical resonators as well as dipoles, quadrupole, sextupoles and combined function magnets.

Suggested References
•    J. Tanabe – “Iron Dominated Electromagnets: Design, Fabrication, Assembly and Measurements” - World Scientific Pub Co Inc – 2005 – ISBN: 981256327X
•    H. Padamsee, J. Knobloch, T. Hays – “RF Superconductivity for Accelerators” – Wiley VCH - 2008 - ISBN: 3527408428
•    J. D. Jackson – “Classical Electrodynamics” – Wiley 3rd edition – 1998 – ISBN: 047130932X
•    T. P. Wangler – “RF Linear Accelerators” - Wiley VCH – 2008 - ISBN: 3527406808

Additional suggestions for further reading will be discussed in class.

Credit Requirements
The course grade will be based on the graded homework sets and in-class labs (40%) and the final design project and presentation (60%).

IU/USPAS course: Physics 571