U.S. Particle Accelerator School

High Current Beam Physics in Induction Accelerators course

Sponsoring University:

Arizona State University


High Current Beam Physics in Induction Accelerators


George J. Caporaso and Yu-Jiuan Chen, Lawrence Livermore National Lab

Purpose and Audience
The purpose of this course is to introduce the students to the physics of beam transport in high current accelerators. This course is suitable for graduate students or students from other fields considering accelerator physics as a possible career. This course also can provide a broader background to engineers and technicians working in the field of accelerator technology.

Familiarity with differential equations and with electromagnetic theory at the undergraduate level.

This course introduces the basic operating principles of high current accelerators and beam dynamics and transport. The most important beam focusing systems and instabilities will be described with mathematical models.

Instructional Method
This course includes a series of 5 lectures during morning sessions, followed by 4 afternoon study sessions, in which we will discuss the problem sets. Problem sets will be assigned which will be expected to be completed outside of scheduled class sessions. Two instructors will be available at all times.

Course Content
Introductory material will include discussions of applications of high current beams and principles of operation of induction accelerators. Various focusing systems such a continuous and alternating solenoids, quadrupoles and ion channels will be discussed along with equations describing the beam envelope. Some basic instabilities such as the parametric image displacement, cumulative beam breakup, transverse resistive wall and ion-hose will be covered. The course will conclude with a discussion of chromatic aberration and its control including “corkscrew” growth, alignment algorithms for the focusing elements and optimal focusing strategy for a minimum focal spot size.

Reading Requirements
Course notes will be provided.

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