2002/08/21 by Bjoern S. Schmekel, Schmekel, Bjoern S., Joseph T. Rogers +2
Arts and Humanities · Engineering · Physics and Astronomy · #Accelerator Physics (physics.acc-ph) #Crystallography and Radiation Phenomena #FOS: Physical sciences #Particle Accelerators and Free-Electron Lasers #Twentieth Century Scientific Developments #physics.acc-ph
paper · pdf · doi:10.48550/arxiv.physics/0208075
arxiv created 2002/08/21 · openalex publication_date 2002/08/21 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The evolution of two colliding beams in a linear accelerator can be described by two coupled Vlasov equations. In PEP-NOTE-325 by S. Kheifets and A. W. Chao the case without external focusing was considered. In this paper we derive the equilibrium distribution and the tune shift in the presence of external focusing. Motion is considered only in the vertical direction and the beams are presumed to be one-dimensional.