U.S. Particle Accelerator School
Design of Storage Rings
Sponsoring University:
University of California, Davis
Course Name:
Design of Storage Rings
Instructor:
Steve Peggs, Brookhaven National Laboratory
Purpose and Audience
The purpose of this course is to introduce the students to the design and performance of electron and proton storage rings, with an emphasis on linear and nonlinear 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 storage rings.
Prerequisites
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 they meet the course prerequisites or have equivalent experience.
Objectives
By the end of the course, students should be able to explain and describe:
- linear motion through a strong focusing lattice, including longitudinal and off-momentum motion;
- nonlinear motion using difference and differential equations, with single particles and bunches;
- behavior and typical parameters of normal and superconducting magnets and RF cavities;
- linear errors, their correction, sextupoles, chromaticity, and the Henon map;
- octupoles, detuning and slow extraction;
- synchrotron radiation -- classical damping and quantum excitation;
- the beam-beam interaction and betatron resonances.
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 proton storage rings will be described, including relevant aspects of charged particle optics, linear, and nonlinear beam dynamics, including synchrotron radiation. Expressions for beam properties that depend 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 will be discussed, emphasizing the use of difference equations including N-turn Hamiltonians. The requirements for some of the technical subsystems, including magnets and the RF system, will be considered in the context of their impact on beam behavior and the performance of the storage ring.
Reading Requirements
Instructors will provide materials in class.
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).
UC Davis course number: 163EDN671 Advanced Topics
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