U.S. Particle Accelerator School

Fundamentals of Charged Particle Optics in High Energy Accelerators course

Sponsoring University:

University of California, Santa Cruz


Fundamentals of Charged Particle Optics in High Energy Accelerators


Michael Syphers and Arden Warner, Fermilab and Ryoichi Miyamoto, University of Texas at Austin

Purpose and Audience
The various applications of particle accelerators and beam transport systems are far ranging, including particle and nuclear physics, energy production, chemistry, materials and biological sciences, and medicine. Sound optical designs, with appropriate steering and focusing characteristics of the particle beams are vital to the successful operation of any accelerator or beam transport system. This course will survey the fundamental concepts of particle beam optics and discuss relevant designs and applications of optical systems in areas of current research and development. In doing so, general characteristics of accelerators and beam lines -- past, present, and future -- will be surveyed. This course is designed for advanced undergraduates or entry-level graduate students pursuing accelerator science as a career or engineers who want to learn in more detail about the basic concepts of beam optics.

Courses in College Physics and first-year calculus required; the USPAS course "Accelerator Fundamentals" or equivalent and a linear algebra course are helpful, but not required.

On completion of this course, the students are expected to understand the basic physical principles governing the lowest-order design and implementation of beam optical systems and to gain experience with techniques, both analytical and computational, used in the development and analysis of optical systems.

Instructional Method
This course includes a series of lectures, exercise sessions, and computer sessions. Homework problems will be assigned which will be graded and answers provided in the exercise sessions. Some homework will involve computer calculations, with time provided in the computer lab. There will be an open-book final exam at the conclusion of the course.

Course Content
Linear optical systems, Courant-Snyder parameterization, beam transport elements, system design, design codes, modular design principles, matching, chromatic aberrations; design consideration for diagnostics and compensation of errors; emphasis will be on "high energy" systems, but issues of low energy beam transport systems will be discussed. Relevant issues for the optics of synchrotrons and storage rings, linacs and linear colliders, damping rings and light sources, fixed target beam lines, transfer lines between accelerators, and optical elements for other specific beam manipulations will be discussed.

Reading Requirements

(to be provided by the USPAS) “An Introduction to the Physics of High Energy Accelerators”, by D. A. Edwards and M. J. Syphers, John Wiley & Sons (1993). Additional suggested reading, “Particle Accelerator Physics I”, by Helmut Wiedemann, Springer, 2nd edition (1999).

Credit Requirements

Students will be evaluated based on the following performances: Final exam (30%), Homework assignments (50%), Computer assignments (20%).