Wakefields and Collective Effects

Prof. R.M. Jones, Cockcroft Institute/University of Manchester

The purpose of the course is to enable students to become well-versed in the beam dynamics of wakefield-beam interaction in high energy accelerators. It is suitable for advanced undergraduates, graduate students and, active researchers in the field. Prerequisites: A course on Electromagnetism and a minimum of at least a mathematical background of first-year undergraduate calculus.

This course will address the fundamentals of wakefields and their relation to the beam impedance. The features of both long-range and short-range wakefields will be discussed. Circuit models of relativistic electron beams coupled to multiple accelerator cavities will be developed to calculate the coupled modal frequencies and wakefields. In addition to the general theoretical formalism of wakefields, practical methods to damp and measure the wakefields will be described with techniques taken from ongoing research on high-energy linacs (L-band and X-band linacs in particular). Throughout the course, basic physical principles such as superposition, energy conservation and causality will be emphasized.

. Comments and suggestions are welcome. My e-mail address is: roger.jones@manchester.ac.uk