U.S. Particle Accelerator School

Proton and Ion Linear Accelerators

Sponsoring University:

University of California, Davis

Course Name:
Proton and Ion Linear Accelerators

Yuri Batygin, Los Alamost National Lab and Peter Ostroumov, Michigan State University and Argonne National Lab

Purpose and Audience
The purpose of this course is to provide a comprehensive introduction to ion RF linear accelerators. This course is suitable for graduate students and researchers who want to get a better understanding of high-current beam dynamics and modern accelerator technology.

Undergraduate-level Electromagnetism and Classical Mechanics courses. Some familiarity with plasma physics, special relativity and basic accelerator physics is recommended but not required.

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

This course is intended to give a student a broad overview of Radio Frequency accelerators and beamlines. Special emphasis is on high-current beam dynamics and superconducting linac technology for acceleration of charged particle beams with high current. The topics include: self-consistent space-charge dominated dynamics of particles, halo formation in particle beams, nonlinear beam effects, beam loading effects, superconducting accelerating structures, RF cavities fabrication technology, normal and superconducting focusing elements, Radio Frequency Quadrupole accelerators. After taking the course students will be able to design the beam optics with space charge, find optimal conditions for particle dynamics to minimize particle losses and to provide optimal beam sizes in beamlines, determine beam emittance growth and beam current  limits in RF accelerators and beamlines.

Instructional Method
The course will consist of lectures during the morning and afternoon, focusing on the theoretical understanding of the course content, as well as sessions on solving practical problems. Daily homework will be given that let the student review basic concepts introduced in the class.

Course Content
The course provides a description of the beam dynamics with strong space charge forces in beamlines and RF accelerators. The topics include: self-consistent dynamics of particles, equations of motion, emittance and brightness of the beam, beam transport in quadrupole focusing channel and in longitudinal magnetic field, averaging method in particle dynamics, Kapchinsky-Vladimirsky beam envelope equations, beam current limit in beamlines, nonlinear effects in beam transport, beam emittance growth due to space charge forces, halo formation in particle beams, beam equilibrium in focusing channels, space charge dominated beam in RF linacs, numerical methods in high brightness beam physics.

Reading Requirements
(to be provided by the USPAS) "RF Linear Accelerators" - second, completely revised and enlarged edition, Wiley Publishers (2008) by Thomas Wangler. Students will also receive instructor-provided handouts.

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

UC Davis course number:
163EDN670 Special Topics
Indiana University course number: Physics 571, Special Topics in Accelerator Physics
Michigan State University course number: PHY 963, U.S. Particle Accelerator School
MIT course number: 8.790, Accelerator Physics