U.S. Particle Accelerator School

Design of Storage Rings for Light Sources course

Sponsoring University:

Rutgers University


Design of Storage Rings for Light Sources


Riccardo Bartolini, John Adams Institute for Accelerator Science, University of Oxford and Diamond Light Source

Purpose and Audience
The purpose of this course is to provide the students with an overview of lattices used in storage ring light sources, on the rationale for their development starting from users’ requirements up to the most modern lattice solutions. This course is suitable for graduate students and senior undergraduate students in experimental or applied physics or students from other fields considering accelerator physics as a possible career. This course also provides a broader background to physicists interested in synchrotron radiation, insertion devices and application of nonlinear systems to accelerator physics.

Students should be familiar with undergraduate relativistic mechanics and electromagnetism. Basic knowledge of beam optics at the level of the USPAS undergraduate course “Accelerator Fundamentals” or the CAS and JUAS introductory courses is required. It is the responsibility of the student to ensure that he or she meets the course prerequisites or has equivalent experience.

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

This course aims to introduce the students to the physics and the techniques used in the design of modern storage ring light sources. It provides the mathematical instruments to understand the main problems in the optimisation of the beam dynamics and provides the state of the art tools to effectively tackle these problems. These include analytical techniques based on classical Hamiltonian of beam motion, advanced numerical techniques used in tracking and Frequency Map Analysis, and most recent optimisation tools based on Multi-Objectives Genetic Algorithms. On completion of this course, the students are expected to understand the basic workings of all types of lattices proposed for such storage rings, the rationale for the latest developments and should be able to contribute effectively to any design team dealing with new lattices or upgrades of existing machines.

Instructional Method
This course includes a series of lectures and tutorials. Exercises will be assigned to enforce the understanding of the underlying theory while hands-on simulations will be carried out to familiarise students with the main numerical techniques. Students should bring a laptop with MADX or elegant installed. The students will be asked to produce an accelerator design for a hypotethical upgrade of an existing light source. Problem sets will be assigned during the laboratory sessions with the expectation that they will be completed during those sessions. There will be a final written exam at the end of the course.

Course Content
Course material will include basics of beam transport, basic concepts of synchrotron radiation, emittance in electron storage rings, linear optics for low emittance lattices, insertion devices, diffraction limited storage rings, nonlinear optics, resonances and their corrections, beam lifetime, collective effects. Some of the necessary prerequisites of Hamiltonian dynamics and numerical optimisation techniques will also be discussed.

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: final exam (approx. 30% of final grade), homework assignments (approx. 50% of final grade) computer/lab sessions (approx. 20% of final grade).

Rutgers University course number 01:750:645 Design of Storage Rings for Light Sources

IU/USPAS course number: P671