Note: An Introduction to the Physics of High Energy Accelerators -- Contents -- Series Preface -- Preface -- 1 Introduction -- 1.1 Prerequisites -- 1.2 Uses of Accelerators -- 1.2.1 Luminosity of a High Energy Collider -- 1.2.2 Synchrotron Radiation Sources -- Problems -- 2 Acceleration and Phase Stability -- 2.1 Acceleration Methods -- 2.1.1 DC Accelerators -- 2.1.2 Time Varying Electromagnetic Fields -- 2.1.3 Resonant Cavities -- 2.1.4 Accelerating Structures -- 2.2 Phase Stability -- 2.2.1 Synchrotron Oscillations -- 2.2.2 Adiabatic Damping and Longitudinal Emmittance -- 2.2.3 Transition Crossing -- 2.3 The Need for Transverse Focusing -- Problems -- 3 Transverse Linear Motion -- 3.1 Stability of Transverse Oscillations -- 3.1.1 Weak Focusing -- 3.1.2 Strong Focusing -- 3.1.3 Stability Criterion -- 3.2 Equation of Motion -- 3.2.1 Piecewise Method of Solution -- 3.2.2 Closed Form Solution -- 3.2.3 Courant-Snyder Parameters -- 3.2.4 Emittance and Admittance -- 3.2.5 Adiabatic Damping of Betatron Oscillations -- 3.3 Momentum Dispersion -- 3.3.1 Equation of Motion for an Off-Momentum Particle -- 3.3.2 Solution of Equation of Motion -- 3.4 Linear Deviations from the Ideal Lattice -- 3.4.1 Steering Errors and Corrections -- 3.4.2 Focusing Errors and Corrections -- 3.4.3 Chromaticity -- Problems -- 4 Resonances and Transverse Nonlinear Motion -- 4.1 Transverse Resonances -- 4.1.1 Floquet Transformation -- 4.1.2 Multipole Expansion -- 4.1.3 The Driven Oscillator and Rational Numbers -- 4.2 A Third-Integer Resonance -- 4.2.1 Equation of Motion -- 4.2.2 Recognition of the Sextupole Resonance -- 4.2.3 First Integral and the Separatrix -- 4.2.4 Application to Resonant Extraction -- 4.2.5 Comments on Correction Systems -- 4.3 The Hamiltonian Formalism -- 4.3.1 Review of Hamiltonian Dynamics -- 4.3.2 The Hamiltonian for Small Transverse Oscillations. , 4.3.3 Transformations of the Hamiltonian -- 4.3.4 The Third-Integer Resonance Revisited -- Problems -- 5 Transverse Coupled Motion -- 5.1 Linear Coupling -- 5.1.1 Coupled Harmonic Oscillators -- 5.1.2 Perturbation Treatment of a Single Skew Quadrupole -- 5.1.3 Matrix Treatment of a Single Skew Quadrupole -- 5.1.4 Matrix Formalism of Linear Coupling -- 5.2 Nonlinear Coupling -- 5.2.1 Two-Degree-of-Freedom Sum Resonance Due to Distribution of Sextupoles -- 5.2.2 Multipoles and Resonance Lines -- Problems -- 6 Intensity Dependent Effects -- 6.1 Space Charge -- 6.1.1 The Transverse Space Charge Force -- 6.1.2 Equation of Motion in the Presence of Space Charge -- 6.1.3 Incoherent Tune Shift -- 6.1.4 The Beam-Beam Tune Shift -- 6.1.5 Image Charge and Image Current Effects -- 6.2 The Negative Mass Instability -- 6.2.1 The Longitudinal Space Charge Field -- 6.2.2 Perturbation of the Line Density -- 6.3 Wake Fields and Impedance -- 6.3.1 Field of a Relativistic Charge in Vacuum -- 6.3.2 Wake Field for a Resistive Wall -- 6.3.3 Wake Functions -- 6.3.4 Impedance -- 6.4 Macroparticle Models of Coherent Instabilities -- 6.4.1 Beam Breakup in Linacs -- 6.4.2 The Strong Head-Tail Instability -- 6.4.3 The Head-Tail Instability -- 6.5 Evolution of the Distribution Function -- 6.5.1 The Vlasov Equation -- 6.5.2 The Dispersion Relation -- 6.5.3 Application to the Negative Mass Instability -- 6.6 Landau Damping -- Problems -- 7 Emittance Preservation -- 7.1 Injection Mismatch -- 7.1.1 Steering Errors -- 7.1.2 Focusing Errors -- 7.2 Diffusion Processes -- 7.2.1 RF Noise and Excitation of Oscillations -- 7.2.2 Beam-Gas Scattering -- 7.3 Emittance Reduction -- 7.3.1 Transverse Stochastic Cooling -- 7.3.2 Longitudinal Stochastic Cooling -- 7.4 Some Remarks on Beam Distributions -- Problems -- 8 Synchrotron Radiation -- 8.1 Radiation from Relativistic Particles. , 8.2 Damping of Oscillations -- 8.3 Quantum Fluctuations and Equilibrium Beam Size -- Problems -- Appendix A Tables of Accelerator Parameters -- Bibliography -- Index.