Lectures in accelerator theory

Accelerator theory is a broad area of study involving the behaviour of particle beams. Out of the many categories, the author has chosen to describe three phenomena taken from (1) the theory of single particle motion in nonlinear fields; (2) the theory of high intensity coherent motion and; (3) the theory of current accumulation. He deals with the behaviour of particles in the nonlinear field arising from the electromagnetic interaction of colliding beams. An analysis of the development of traveling waves on particle beams is presented. The situation studied is that of a uniform beam current in a circular accelerator and the excitation for the coherent motion is induced by the resistivity of the vacuum chamber wall. A description of the current accumulation process used at the proton storage rings at CERN (ISR) is given. (0 refs).