Nonlinear Dynamics In Particle Accelerators (V23)

This book is an introductory course to accelerator physics at the level of graduate students. It has been written for a large audience which includes users of accelerator facilities, accelerator physicists and engineers, and undergraduates aiming to learn the basic principles of construction, operation and applications of accelerators.
The new concepts of dynamical systems developed in the last twenty years give the theoretical setting to analyse the stability of particle beams in accelerator. In this book a common language to both accelerator physics and dynamical systems is integrated and developed, aiming to eliminate the difficulties faced by accelerator physicists, engineers and applied mathematicians when they try to join efforts in the attempt to control the nonlinearities disturbing particle beams.

Preface
Conventions and notations
1 Introduction to Accelerator Physics
1.1 Introduction
1.2 Accelerators in medicine and industrty
1.3 Nonlinear phenomena in particle accelerators
1.4 Acceleration and guiding of charged particles.
Physical principles
1.5 Accelerator types
1.5.1 Linear accelerators
1.5.2 The cyclotron
1.5.3 The isochronous cyclotron
1.5.4 The synchrocyclotron
1.5.5 The betatron
1.5.6 The synchrotron
1.6 How to build a synchrotron accelerator
1.6.1 Confinement
1.6.2 Acceleration
1.6.3 Focusing
1.7 Synchrotron radiation
1.8 A short guide to accelerator bibliorgaphy
2 Equations of Motion
2.1 Equations of motion in the transversy plane
2.1.1 Transverse motion in stratight sections
2.1.2 Transverse motion in stratight sections with special purpose magnets
2.1.3 Transverse motion inside dipoles
2.2 The design orbit and its stability
……
3 Introduction to the Qualitative Theory of Nonlinear Differential Equations
4 Dynamics and Stability of Guiding and Focusing. Linear Optics of Synchrotrons
5 Nonlinear Motion in the Transverse Plane: Sextupoles
6 The Beam-Beam Interaction
References
Subject index