The Cockcroft Institute
Post-graduate
Lecture Courses: Academic Year 2005-6
Core Course
An
Introduction to
Accelerator Science (timetable)
Tutor : Dr R Appleby
Syllabus
1. Introduction and overview
Overview and goals of course. The
principle of weak and strong focusing. Beam forces, space-charge and
magnets
2. A touch of relativity
The Lorentz transformations and their
consequences. Transformation of energy/momentum and 4-vectors.
Relativistic dynamics
3. Transverse beam dynamics
Particle motion and derivation of
transverse Hills equations. Matrix formulation of transverse beam
dynamics. Stability of motion. Emittance and phase space. Off-momentum
particle motion. Closed orbit distortion. Chromaticity
4. Longitudinal beam dynamics
The pill-box cavity. The principle of
phase stability
5. History of particle accelerators and concluding summary
The historical development of
accelerators. Review of modern machines. Concluding summary.