Particle Accelerator Physics II

1. Hamiltonian Formulation of Beam Dynamics.- 1.1 Hamiltonian Formalism.- 1.2 Hamiltonian Resonance Theory.- 1.3 Hamiltonian and Coupling.- 1.4 Symplectic Transformation.- Problems.- 2. General Electromagnetic Fields.- 2.1 General Transverse Magnetic-Field Expansion.- 2.2 Third-Order Differential Equation of Motion.- 2.3 Periodic Wiggler Magnets.- 2.4 Superconducting Magnet.- Problems.- 3. Dynamics of Coupled Motion.- 3.1 Conjugate Trajectories.- 3.2 Particle Motion in a Solenoidal Field.- 3.3 Transverse Coupled Oscillations.- Problems.- 4. Higher-Order Perturbations.- 4.1 Kinematic Perturbation Terms.- 4.2 Control of the Central Beam Path.- 4.3 Dipole Field Errors and Dispersion Function.- 4.4 Dispersion Function in Higher Order.- 4.5 Perturbation Methods in Beam Dynamics.- Problems.- 5. Hamiltonian Nonlinear Beam Dynamics.- 5.1 Higher-Order Beam Dynamics.- 5.2 Aberrations.- 5.3 Hamiltonian Perturbation Theory.- Problems.- 6. Charged Particle Acceleration.- 6.1 Accelerating Fields in Resonant rf Cavities.- 6.2 Beam-Cavity Interaction.- 6.3 Higher-Order Phase Focusing.- 6.4 FODO Lattice and Acceleration.- Problems.- 7. Synchrotron Radiation.- 7.1 Theory of Synchrotron Radiation.- 7.2 Synchrotron Radiation Power and Energy Loss.- 7.3 Spatial Distribution of Synchrotron Radiation.- 7.4 Synchrotron Radiation Spectrum.- Problems.- 8. Hamiltonian Many Particle Systems.- 8.1 The Vlasov Equation.- 8.2 Damping of Oscillations in Electron Accelerators.- 8.3 The Fokker-Planck Equation.- Problems.- 9. Particle Beam Parameters.- 9.1 Particle Distribution in Phase Space.- 9.2 Equilibrium Energy Spread and Bunch Length.- 9.3 Phase-Space Manipulation.- 9.4 Polarization of Particle Beam.- Problems.- 10. Collective Phenomena.- 10.1 Statistical Effects.- 10.2 Collective Self Fields.- 10.3 Beam-Current Spectrum.- 10.4 Wake Fields and Impedance.- 10.5 Coasting-Beam Instabilities.- 10.6 Longitudinal Single-Bunch Effects.- 10.7 Transverse Single-Bunch Instabilities.- 10.8 Multi-Bunch Instabilities.- Problems.- 11. Insertion Device Radiation.- 11.1 Particle Dynamics in an Undulator.- 11.2 Undulator Radiation.- 11.3 Undulator Radiation Distribution.- 11.4 Elliptical Polarization.- Problems.- References.- Suggested Reading.- Author Index.