U.S. Particle Accelerator School

Physics and Engineering of Undulators for Storage Ring and FEL Light Sources


Northern Illinois University and UT-Battelle

Course Name:

Physics and Engineering of Undulators for Storage Ring and FEL Light Sources


Efim Gluskin and Vadim Sajaev, Argonne National Laboratory

Purpose and Audience
This course will instruct students on the physics and technology of undulators – sources of radiation in contemporary accelerator-based light sources. It is a graduate-level course suitable for students, scientists and engineers with interest in synchrotron radiation sources. The course is also appropriate for advanced undergraduate-level students.

Students should be competent at a senior-undergraduate level with classical mechanics, special relativity and relativistic classical mechanics, and electromagnetic theory including radiation physics (at the level of "Classical Electricity and Magnetism” by W. Panofsky and M. Phillips). Familiarity with these topics at a graduate-level is recommended.

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

On completion of this course, the students are expected to understand the basic physical principles behind an undulator, interaction of ultra-relativistic particles with an undulator field, properties of undulator radiation, and applications of undulators in storage ring and FEL-based light sources. Also, the students are expected to perform computer simulations associated with preliminary design studies of undulators.

Instructional Method
This course includes a series of lectures in the morning, followed by problem solving sessions in the afternoon. Problem sets, to be completed outside of scheduled class time, will be assigned in the lecture sessions. There will be an open-book final exam at the conclusion of the course.

Course Content
The course will begin with a review of basic principles of relativistic mechanics, basics in radiation physics of ultra-relativistic particles moving in electromagnetic fields, and accelerator physics concepts applicable to storage ring-based light sources and FELs.It will follow with the introduction of the undulator concept and analysis of undulator radiation of a single particle. The single-particle formulation is extended in a more comprehensive analysis of radiation of a multi-particle beam with non-zero emittance.

Different magnetic designs of undulators will be introduced: permanent magnet-based designs and electromagnet-based designs, including superconducting electromagnets. Specific requirements for the quality of undulator magnetic field will be introduced. It will follow with the description of special measurements tools used for the verification of field quality.

Engineering solutions for different types of undulators will be introduced and a comparative analysis of their advantages and disadvantages will be presented. This part of the course will also include description and analysis of essential mechanical components associated with undualtors, such as drive mechanisms and vacuum chambers. It will also touch upon problems and solutions associated with the construction of undulators.

Finally, physics and engineering of the integration of undulators in storage ring light sources and FEL amplifiers will conclude the course.

Reading Requirements
(to be provided by the USPAS) "The Science and Technology of Undulators and Wigglers" Oxford University Press (2004) by James A. Clarke.

Credit Requirements
Student evaluation will be based on the homework assignments (50% of final grade) and the in class final exam (50% of final grade).

Northern Illinois University course number: PHYSICS 790D - Special Topics in Physics - Beam Physics
Indiana University course number: Physics 671, Advanced Topics in Accelerator Physics
Michigan State University course number: PHY 963, "U.S. Particle Accelerator School"
MIT course number: 8.790, "Accelerator Physics"