Accelerator and beam physics is a broad discipline that draws on concepts from linear and nonlinear mechanics, electrodynamics, special relativity, plasma physics, statistical mechanics, and quantum mechanics. The applications of particle accelerators are equally far ranging, including particle and nuclear physics, energy production, chemistry, materials and biological sciences, and medicine. This course will survey a variety of accelerator physics topics that represent areas of current research and development. Typically, an area will be first discussed abstractly and then applied to a specific facility or device. The lectures will assume a solid understanding of classical mechanics and electrodynamics.

Course Outline

• Acceleration
• -Electrodynamics of waveguides and cavities
• -Acceleration and beam loading
• -Transverse steering and focusing
• -Superconducting cavities
• -Application: Continuous Electron Beam Accelerator Facility (CEBAF) linear accelerator
• Fundamentals of Beam Transport
• -Magnets and multipoles
• -Orbits and focusing
• -Transfer matrices, tunes, lattice functions, and emittance
• -Synchrotron oscillations and transition
• -Application: Relativistic Heavy Ion Accelerator (RHIC)
• Perturbations and Nonlinear Beam Dynamics
• -Magnetic errors
• -Chromaticity
• -Resonances and coupling
• -Nonlinearity, dynamic aperture, and momentum acceptance
• -Application: Large Hadron Collider (LHC)
• Correlations and Collective Phenomena
• -Correlations and beam noise
• -BBGKY hierarchy
• -Vlasov and Fokker Planck equations
• -Coherent effects
• -Phase space cooling
• -Applications: Ionization cooling for muon beams; crystal beams
• Space charge and instabilities
• -Tune shifts
• -Waves and solitons
• -Resistive wall instabilities
• -Coasting beam and single bunch instabilities
• -Application: Longitudinal effects in heavy ion fusion driver accelerators
• Beam Halo Formation
• -Application: Spallation Neutron Source
• Synchrotron radiation and electron storage rings
• -Basics of synchrotron radiation
• -Damping
• -Quantum excitation
• -Lifetime
• -Emittance minimization
• -Application: Low emittance storage rings for synchrotron light
• Coupled-bunch Instabilities
• -Beam self-interaction
• -Multibunch instabilities in storage rings
• -Beam breakup in recirculated linear accelerators
• -Application: Energy recovery linear accelerators
• Two Stream Effects
• -Beam-beam interaction
• -Electron clouds
• -Fast ion instabilities
• -Application: B-factories, linear colliders
• Coherent Synchrotron Radiation
• Radiation by a charge distribution
• -Implied self interaction
• -Phase space distortion
• Instabilities
• Free-electron lasers
• -Fundamentals of FELs
• -Application: SLAC LCLS
• Novel methods of acceleration
• -Plasmas, lasers, and wakefields
• -Survey of experiments