Beam dynamics in high energy particle accelerators / Andrzej Wolski, University of Liverpool, UK.

Format:

Book

Author/Creator:

Wolski, Andrzej, author.

Series:

Gale eBooks

Language:

English

Subjects (All):

Beam dynamics.

Particle accelerators.

Physical Description:

1 online resource (xiii, 591 pages) : illustrations

Place of Publication:

London : Imperial College Press, [2014]

Language Note:

English

Summary:

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 ap

Contents:

Contents; Preface; I Electromagnetism and Classical Mechanics; 1 Electromagnetic Fields in Accelerator Components; 1.1 Boundary Conditions on Electromagnetic Fields; 1.1.1 Surface of an infinite permeability material; 1.1.2 Surface of an ideal conductor; 1.2 Two-Dimensional Multipole Fields; 1.2.1 Current distribution for a pure multipole; 1.2.2 Geometry of iron-dominated multipole magnets; 1.2.3 Multipole decomposition; 1.3 Three-Dimensional Fields; 1.3.1 Cartesian and cylindrical modes; 1.3.2 Generalised gradients; 1.4 Fields in Radiofrequency Cavities; 1.4.1 Rectangular cavities

1.4.2 Cylindrical cavities2 Hamiltonian for a Particle in an Accelerator Beam Line; 2.1 The Hamiltonian for a Straight Beam Line; 2.2 Dynamical Variables for Beam Dynamics; 2.3 The Hamiltonian in a Curved Co-ordinate System; 2.4 Symplectic Transfer Maps and Liouville's Theorem; II Single-Particle Linear Dynamics; 3 Linear Transfer Maps for Common Components; 3.1 Drift Space; 3.2 Dipole Magnet; 3.3 Dipole Fringe Fields and Edge Focusing; 3.4 Quadrupole Magnet; 3.5 Solenoid; 3.6 Radiofrequency Cavity; 3.7 Spin Dynamics; 4 Linear Optics in Uncoupled Beam Lines; 4.1 A FODO Lattice

4.2 The Courant-Snyder Parameters4.3 Action-Angle Variables; 4.4 Courant-Snyder Parameters in a FODO Beam Line; 4.5 Hill's Equation; 4.6 Courant-Snyder Parameters and Particle Distribution; 5 Coupled Optics; 5.1 Transverse-Longitudinal Coupling; 5.1.1 Dispersion; 5.1.2 Momentum compaction and phase slip; 5.1.3 Synchrotron motion; 5.2 Fully Coupled Motion; 5.3 Dispersion Revisited; 5.4 Examples of Coupled Optics; 5.4.1 Uniform solenoid field; 5.4.2 Flat-beam electron source; 6 Linear Imperfections in Storage Rings; 6.1 The Closed Orbit; 6.2 Dipole Field Errors; 6.3 Quadrupole Alignment Errors

6.4 Focusing Errors6.5 Beam-Based Alignment of Quadrupoles; 6.6 Coupling Errors; 7 Effects of Synchrotron Radiation; 7.1 Classical Radiation: Radiation Damping; 7.2 Quantum Radiation: Quantum Excitation; 7.3 Equilibrium Emittance and Lattice Design; 7.3.1 Natural emittance in a FODO storage ring; 7.3.2 Double-bend achromat; 7.3.3 TME lattices and multibend achromats; 7.4 Computation of Equilibrium Emittances; 7.5 Synchrotron Radiation and Spin Polarisation; III Single-Particle Nonlinear Dynamics; 8 Examples of Nonlinear Effects in Accelerator Beam Lines

8.1 Longitudinal Dynamics in a Bunch Compressor8.2 Chromaticity in a Linear FODO Beam Line; 8.3 Chromaticity in Storage Rings; 9 Representations of Transfer Maps; 9.1 Lie Transformations; 9.2 Power Series Map for a Sextupole; 9.3 Mixed-Variable Generating Functions; 10 Symplectic Integrators; 10.1 Splitting Methods; 10.2 Explicit Symplectic Integrator for s-dependent Fields; 10.3 Symplectic Runge-Kutta Integrators; 11 Methods for Analysis of Single-Particle Dynamics; 11.1 A Lie Transformation Example: the -I Transformer; 11.2 Canonical Perturbation Theory

11.2.1 Dipole perturbations: closed orbit distortion

Notes:

Description based upon print version of record.

Includes bibliographical references and index.

Description based on online resource; title from PDF title page (ebrary, viewed April 4, 2014).

ISBN:

9781783262786

1783262788

OCLC:

874213845