U.S. Particle Accelerator School
U.S. Particle Accelerator School
Education in Beam Physics and Accelerator Technology

Induction Accelerators


University of New Mexico

Course Name:

Induction Accelerators


Yu-Jiuan Chen and Nathaniel J. Pogue, Lawrence Livermore National Laboratory; Josh Coleman, Los Alamos National Laboratory; Will Waldron, Lawrence Berkeley National Laboratory

Purpose and Audience
The purpose of this course is to provide a comprehensive survey of high-current electron induction accelerators, which begins with conventional induction accelerators with magnetic cores and ends with a summary of new research frontiers in induction accelerators. This course is suitable for graduate students in physics and engineering who are interested in induction accelerators as part of their research or career goals. This course can also provide a broader background to technicians working in the field of accelerator technology.

Required: Undergrad Electricity and Magnetism: level Griffiths, Intro to Electrodynamics (including special relativity)
Required: Undergrad Classical Mechanics: level Taylor, Classical Mechanic
Recommend: Undergrad Accelerator Physics: level USPAS Fundamentals of Accelerator Physics
Recommend: Graduate Electricity and Magnetism: level Jackson, Classical Electrodynamics
Recommend: Graduate Classical Mechanics: level Goldstein, Classical Mechanics

It is the responsibility of the student to ensure that they meet the course prerequisites or have equivalent experience.

This course introduces the basic operating principles of high-current electron induction accelerators including: beam dynamics and transport, induction cell technology, pulsed power technology, electron sources, and beam diagnostics. The most important beam focusing systems and instabilities will be described with mathematical models.

Instructional Method
Daily lectures will begin in morning sessions and continue through the afternoon. The afternoon session will also be used for problem set discussion or a computer lab, based on the individual lecturer’s discrepancy. Daily problem sets will be assigned and expected to be completed outside of scheduled class sessions. Problem sets will be due the morning of the next lecture session. The instructors will be available during recitations and evening problem sessions.

Course Contents
The course will start with an introduction to induction accelerators and their applications with an emphasis on electron induction accelerators.  Lectures on pulsed power will review systems from low repetition-rate, long and short-pulse systems to high repetition-rate multi-pulse systems, and induction accelerator cell design. Lectures on high-current beam physics include discussions of electron sources and injector designs, various transverse focusing systems, beam envelope and emittance with an examination of the stability of periodic focusing systems, and chromatic aberration of focusing systems including pulse energy spread induced “corkscrew motion” and strategies for mitigation. The lectures will discuss some basic instabilities such as cumulative beam breakup, image displacement and ion-hose. The beam physics lectures will conclude with a discussion of target physics issues that occur when a high-intensity electron beam is focused tightly on to an x-ray converter target. Laboratory diagnostics methods for various accelerator parameters, such as cell impedance, cell voltages, current density profile, emittance, spot sizes, etc., will be discussed throughout the lectures.

Reading Requirements
(to be provided by the USPAS)  “Induction Accelerators” Editors: Ken Takayama and Richard J Briggs, Springers Publishers. (For download: https://www.fieldp.com/cpa.html) “Principles of Charged Particle Acceleration” by Stanley Humphries, Chapter 10.

Credit Requirements
Students will be evaluated based on: homework assignments (80 % of final grade) and the final exam (20% of final grade).

University of New Mexico course number: ECE 595-006
Michigan State University course number: PHY 963 - 301 - Accelerator Physics
Indiana University course number: Physics 571, Special Topics in Physics of Beams
MIT course number: 8.790, Accelerator Physics