04944oam 2200517 450 991082200480332120190911112724.01-78326-278-8(OCoLC)874213845(MiFhGG)GVRL8RHG(EXLCZ)99371000000009258220140626h20142014 uy 0engurun|---uuuuatxtccrBeam dynamics in high energy particle accelerators /Andrzej Wolski, University of Liverpool, UKLondon :Imperial College Press,[2014]�20141 online resource (xiii, 591 pages) illustrationsGale eBooksDescription based upon print version of record.1-78326-277-X Includes bibliographical references and index.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 cavities1.4.2 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 Lattice4.2 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 Errors6.4 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 Lines8.1 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 Theory11.2.1 Dipole perturbations: closed orbit distortionParticle 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 apBeam dynamicsParticle acceleratorsBeam dynamics.Particle accelerators.620.1620.1/1228620.11228Wolski Andrzej1715470MiFhGGMiFhGGBOOK9910822004803321Beam dynamics in high energy particle accelerators4110136UNINA