U.S. Particle Accelerator School

Classical Mechanics and Electromagnetism in Accelerators and Beams course

Sponsoring University:

Yale University

Course:

Classical Mechanics and Electromagnetism in Accelerators and Beams

Instructors:

Richard Talman, Cornell University and Vahid Ranjbar, Indiana University


Topics will alternate each day between Electromagnetism and Classical Mechanics. Topics on electrodynamics include Maxwell's equations. units; static 2D fields and end effects; plane waves, impedance; transmission lines, impedance matching; wave guides and resonators; electron linac; retarded time formalism, radiation; synchrotron and undulator radiation; beam instruments: pick ups, current transformers; resistive wall wake fields. Topics on Mechanics include relativistic mechanics; linear oscillators, Laplace transform; Hamiltonian formalism, adiabatic invariance; synchrotron oscillations; transfer matrices, symplectic requirements; nonlinear oscillators, method of Bogoliubov and Metropolsky; method of difference equations (maps); Z-transform; resonance and chaos; beam-beam interaction; beam diagnostics and FFT. Prerequisites: intermediate-level courses in Classical Mechanics and Electromagnetic Theory.