Beam Dynamics in High Energy Particle Accelerators

Particle accelerators are essential tools for scientific research in fields as diverse as high energy physics, materials science and structural biology. They are also widely used in industry and medicine. Producing the optimum design and achieving the best performance for an accelerator depends on a detailed understanding of many (often complex and sometimes subtle) effects that determine the properties and behavior of the particle beam. Beam Dynamics in High Energy Particle Accelerators provides an introduction to the concepts underlying accelerator beam line design and analysis, taking an approach that emphasizes the elegance of the subject and leads into the development of a range of powerful techniques for understanding and modeling charged particle beams.

Electromagnetism and Classical Mechanics:

Electromagnetic Fields in Accelerator Components

Hamiltonian for a Particle in an Accelerator Beam Line

Single-Particle Linear Dynamics:

Linear Transfer Maps for Common Components

Linear Optics in Uncoupled Beam Lines

Coupled Optics

Linear Imperfections in Storage Rings

Effects of Synchrotron Radiation

Single-Particle Nonlinear Dynamics:

Examples of Nonlinear Effects in Accelerator Beam Lines

Representations of Transfer Maps

Symplectic Integrators

Methods for Analysis of Single-Particle Dynamics

Collective Effects:

Space Charge

Scattering Effects

Wake Fields, Wake Functions and Impedance

Coherent Instabilities