U.S. Particle Accelerator School

Intense Beam Physics: Space-Charge, Halo and Related Topics course

Sponsoring University:

College of William and Mary

Course:

Intense Beam Physics: Space-Charge, Halo and Related Topics

Instructors:

John Barnard and Steven Lund, LLNL


This course will be an introduction to the physics of intense charged particle beams, focusing on the role of space charge. The topics include: particle equations of motion, the paraxial ray equation, and the Vlasov equation; 4-D and 2-D equilibrium distribution functions (such as the Kapchinskij-Vladimirskij, thermal equilibrium, and Neuffer distributions), reduced moment and envelope equation formulations of beam evolution; transport limits and focusing methods; the concept of emittance and the calculation of its growth from mismatches in beam envelope and from space-charge non-uniformities using system conservation constraints; the role of space-charge in producing beam halos; longitudinal space-charge effects including small amplitude and rarefaction waves; stable and unstable oscillation modes of beams (including envelope and kinetic modes); the role of space-charge in the injector; and algorithms to calculate space-charge effects in particle codes. Examples of intense beams will be given primarily from the ion and proton accelerator communities with applications from heavy-ion fusion, spallation neutron sources, and/or tritium production. Prerequisites: Undergraduate Electromagnetism and Mechanics. Some familiarity with basic accelerator concepts and plasma physics is recommended but not required.
Course outline can be found here.