Department of Physics, The University of Chicago
Monday, May 7, 2018
10:00 a.m. – 11:00 a.m.
“Pen and paper mathematical models for state of the art wakefield accelerators”
The two beam wakefield acceleration is one of the most advanced ways to design compact GeV machines. First, a high current low energy beam decelerates in a structure (corrugated metal pipe, dielectric-loaded waveguide/resonator or plasma medium) leaving an electromagnetic wake (Cherenkov shock wave). Second, a low charge high energy beam follows the first beam and gets accelerated by the generated EM field. This accelerator scheme still lacks understanding of many aspects, such as beam stability, energy transfer efficiency.
My talk will be focused on analytical methods and simple mathematical models to address these remaining challenges and gain detailed insight into important effects in dielectric and plasma wakefield acceleration. In particular, I will formulate and prove relativistic Gauss theorem. It will be shown further that combining this theorem with the conformal mapping technique allows one to derive a universal formula for Green’s function amplitude of the Lorentz force acting on an ultra-relativistic particle. Finally, a number of applications of the presented formalism to real-world wakefield devices will be given.
Dr. Stanislav (Stas) Baturin is with the Department of Physics at The University of Chicago. He is an active member of the Center for Bright Beams, a multidisciplinary collaboration between U Chicago, Cornell and UCLA. Stanislav received his PhD in Theoretical Physics from Saint Petersburg State University, Russia, in 2013.
His work spans accelerator physics, electromagnetism and mathematical physics. Stanislav develops new theoretical analytical models. Currently, his major scope of interests include the theory of short range steady-state and transition wake fields. Specifically, he develops conformal map methods for wake field calculations, beam stability analysis in linear accelerators and wake field accelerators. Stanislav also works on various aspects of carbon-based (nanotubes, diamond, graphene) electron source theory and applications.
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