* Ask NSCL main desk reception for lab entry and directions to attend.
Prof. Steven M. Lund
Michigan State University
Physics and Astronomy Department
Facility for Rare Isotope Beams (FRIB)
640 South Shaw Lane
Room 1118
517-908-7291 (office)
510-459-4045 (mobile)
Lund@frib.msu.edu
Dr. Alfonse Pham (MSU/FRIB) The Facility for Rare Isotope Beams
https://people.nscl.msu.edu/~lund/msu/phy905_2016/
The purpose of this course is to introduce the students to the physics and technology of charged particle beam accelerators. This course is suitable for graduate students from physics and other fields who are interested in accelerator physics as a possible career or to attain a better understanding of accelerator systems used in a plethora of fields such as high energy and nuclear physics, light sources for materials science, medical technology, and industrial applications.
It is the responsibility of the student to ensure that he or she meets the course prerequisites or has equivalent experience.
| • Undergraduate Level Classical Mechanics |
| • Undergraduate Level Electromagnetic Theory |
| • Undergraduate Level Special Relativity |
This introductory course covers the fundamental principles of particle accelerators and charged particle beam dynamics. The physics and technology of charged particle focusing and acceleration is explored, with emphasis on basic relationships, definitions, and applications found in the field of particle accelerators. On completion of this course, the students are expected to understand the basic workings of accelerator systems and their components. They will comprehend basic principles and definitions of beam dynamics and will be better grounded to extend their knowledge on research projects on accelerator systems and/or better understand accelerator systems associated with their fields and applications.
Lecture notes/slides complied by the instructor will serve as the "text" for the course. These are given in the linked directory below. These include: notes developed by the lecturer based both on materials from his courses in the US Particle Accelerator School and materials developed specifically for this class, introductory overview material generously provided by Prof. Mike Syphers (Northern Illinois U., former MSU) from teaching a similar course in the US Particle Accelerator School, and referenced material taken from various textbooks. Lectures will augment and clarify these notes. Textbooks (see below) are recommended, but not required, for supplemental reading. Seven weekly problem sets (total 40% grade) will be assigned which will be expected to be completed outside of scheduled class sessions. An overnight take home final (60% grade) due the next day will be given during the finals period. The specific schedule will be determined on consultation with the students for minimal conflict with other exams. Points for all problems will be specified. Problem set grades will be computed as a percentage of points scored relative to points possible on all problem sets. Final exam grades will be computed as a percentage of points scored relative to points possible on the final. The problems are designed to reinforce and extend lecture presentations and will follow directly from materials covered. Students are encouraged to discuss the problem sets with other students and the lecturers/graders, but are required to turn in their own solutions. On the final exam, both course lecture notes and the student's own personal notes can be used, but all work must be independent. Clarification questions to the lecturers are allowed.
See topics on the course schedule below for the specific progression of topics. Core lectures (SL) will cover the history of accelerators, transverse (focusing) particle dynamics, longitudinal (acceleration) dynamics, magnetic optics for beam focusing and bending, nonlinear (resonance) effects, and space charge effects. An application lecture (AF) will cover the Facility for Rare Isotope Beams (FRIB).
The schedule below constitutes an abbreviated (late start) term consistent with a two credit hour survey course. Note that the first lecture (Mar. 3) is
close to mid-term. Adjustments may be made to the schedule as the term
progresses. Updates will be posted on the course web site. Sequence numbers (01, 02, ...) correspond to note
sets found in the linked directory under Lecture Notes below.
| Tuesday | Thursday | ||
|---|---|---|---|
| Mar. 3 | 01: Intro / Overview | ||
| Spring Break, Mar. 7-11 | |||
| Mar. 15 | 01: Intro / Overview | Mar. 17 | 02: Injectors 03: Magnetic Field Calculations |
| Mar. 22 | 04: Particle Equations of Motion | Mar. 24 | 04: Particle Equations of Motion 05: Solenoid Focusing |
| Mar. 29 | 06: Solenoid Focusing & Canonical Angular Momentum 07: Description of Applied Focusing Fields |
Mar. 31 | 08: Hill's Equation, Phase Amplitude Formulation, and Courant-Snyder Invariant/Emittance |
| Apr. 4 | 09, 10: Dispersive and Chromatic Effects |
Apr. 7 | 11: Momentum Compaction 12: Particle Equations of Motion | >
| Apr. 11 | 13: Acceleration and Normalized Emittance 14: Resonances in Rings |
Apr. 14 | 15: Acceleration Overview 15: RF Acceleration in Linacs |
| Apr. 18 | 15: RF Acceleration | Apr. 21 | 16: RF Cavities |
| Apr. 25 | 17: RF Bunching and Gymnastics 17: RF Acceleration in Rings |
Apr. 28 | Alfonse Pham: FRIB 18: Space Charge Effects |
| Finals Week May 2-6 | |||
Lecture notes will be periodically posted on the course web site under the linked Core Lectures and Application Lectures directories below. Paper copies of lecture notes will be handed out in class to aid note taking. When possible, corrections and additions will be posted on the course web site subsequent to lectures. Materials are organized by lecture. Postings will be in pdf format. In some cases, notes are posted in both one slide per page (for presentation; e.g., 01.lecture.pdf) (presentation) and 4 slides per page (handouts, for more compact printing; e.g., 01.lecture_ho.pdf) formats. Notes will be maintained on this on this web site after the course with occasional updates, corrections, and extensions until a next version of the course is given. At that time the web site will be frozen with a link to the newer version.
| Core Lectures |
| Application Lectures |
The following optional texts can be used for additional background information but are not required for the course:
| • Wangler, "RF Linear Accelerators" |
| • Conte and MacKay, "An Introduction of the Physics of Particle Accelerators" |
| • Edwards and Syphers, "An Introduction to the Physics of High Energy Accelerators" |
| • Wiedemann, "Particle Accelerator Physics" |
| • Wille, "The Physics of Particle Accelerators An Introduction" |
| • SY Lee, "Accelerator Physics" |
| • Berz, Makino, and Wan, "An Introduction to Accelerator Physics" |
Several of these are available online via the MSU library.
Problem sets will be handed out in class and subsequently posted below in pdf format on the course web site in the linked directory below. The problem sets are due at the start of lectures on the day specified on the problem sets. Solutions will not be posted on this web site, but paper copies of solutions will be handed out in class.
| Problem Sets |
A take home final exam will be handed out at the end of the last lecture and subsequently posted in pdf format on the course web site in the directory below. The final exam is due the next day at the time specified on the exam. Solutions will not be posted on this web site, but paper copies of solutions will be handed out when the exam is returned.
| Final Exam |