U.S. Particle Accelerator School

Design of Electron Storage and Damping Rings course

Sponsoring University:

Michigan State University


Design of Electron Storage and Damping Rings


Mauro Pivi, SLAC National Accelerator Lab; Ina Reichel, Lawrence Berkeley National Lab and Mike Syphers, Michigan State University

Purpose and Audience
The purpose of this course is to introduce the students to the design and physics issues of electron (or positron) storage rings and damping rings, with emphasis on beam dynamics. This course is suitable for anyone who has a basic understanding of the principle of charged particle optics, and who also has an interest in electron storage rings.


The USPAS undergraduate course 'Fundamentals of Accelerator Physics and Technology with Simulations and Measurements Lab' or equivalent.

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

By the end of the course, students should be able to:

Instructional Method
There will be nine lectures over five mornings. Afternoon sessions will be used for discussion and for working through and reviewing set problems. There will be homework and a final examination.

Course Content
The physical principles behind the design and operation of electron (and positron) storage and damping rings will be described, including relevant aspects of charged particle optics and beam dynamics with synchrotron radiation. Expressions for the equilibrium beam properties, depending on the lattice structure, will be derived, and applied to the design of storage rings for particular applications, including colliders and light sources. Beam dynamics problems related to single-particle dynamics (including dynamic aperture and acceptance, coupling correction) and collective effects (such as microwave instability, resistive-wall instability, Touschek scattering, electron cloud and ion effects) will be discussed. The requirements for some of the technical subsystems, including the injection components, magnets, RF, and vacuum system, will be considered in the context of their impact on beam behavior and the performance of the storage ring.

Reading Requirements
(to be provided by the USPAS) "An Introduction to the Physics of Particle Accelerators" [second edition] by Mario Conte and William W. MacKay, World Scientific Pub. Co. (2008).

Credit Requirements
Students will be evaluated based on performance in the final exam (50% of final grade), and the homework assignments (50% of final grade).

IU/USPAS course: Physics 671

Outline of Lecture Contents

Lecture 1: Review of Linear Beam Dynamics

Lecture 2: Lattice Design I: Linear Dynamics

Lecture 3: Lattice Design II: Nonlinear Dynamics

Lecture 4: Insertion Devices

Lecture 5: Coupling and Alignment

Lecture 6: Classical Coupled-Bunch Instabilities

Lecture 7: Space-charge, Intrabeam Scattering and Touschek Effects

Lecture 8: Classical Single-Bunch Instabilities

Lecture 9: Ion Effects and Electron Cloud Effects