Università Roma Tre

Introduction: History. Scientific and technological applications of particle accelerators. Operating principles.
Basic mathematics and physics: Matrices. Harmonic oscillator. Basic concepts of relativity. Lorentz force. Maxwell's equations.
Accelerator types: Linear accelerator (LINAC). Cyclotron. Betatron. Synchrotron.
Basic concepts of an accelerator: Beam characteristics. Main components of an accelerator. Phase stability principle.
Transverse dynamics: Transverse focus (weak focusing and strong focusing). Magnetic elements: dipoles, quadrupoles, sextupoles, correctors. Transport matrices (drift, dipole, quadrupole, FODO cell). Hill's equation, general solutions. Tune. Twiss parameters. Dispersion. Chromaticity.
Longitudinal dynamics: Linac, cyclotron, synchrotron. RF systems. Accelerating structures: Standing Wave and Traveling Wave.
Colliders: Brightness, integrated brightness. Fixed target vs collider. Beam-beam effects. Collision schemes.
Examples: DAΦNE. LHC.
Synchrotron radiation sources: Applications. Characteristics of synchrotron radiation, frequency spectrum.

Slides are used and provided (taken from the 2015-2016 course of Dr. Marica Biagini (INFN-LNF)

A text that deals, in more depth, with the topics of the program:
CAS - CERN Accelerator School: 5th General Accelerator Physics Course (http://cds.cern.ch/record/235242?ln=en)