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AKBP: Arbeitskreis Beschleunigerphysik

AKBP 4: Beam Dynamics I

AKBP 4.2: Talk

Monday, March 18, 2024, 17:15–17:30, E 020

Phase space density tomography constrained by the Vlasov-Fokker-Planck equation — •Felipe Donoso, Stefan Funker, Erik Bründermann, Martin Frank, and Anke-Susanne Müller — KIT, Karlsruhe, Germany

Understanding the evolution of complex systems with numerous interacting particles requires advanced analytical tools capable of capturing the intricate dynamics of phase space. This study introduces a novel approach to phase space density tomography, leveraging constraints imposed by the Vlasov-Fokker-Planck equation. The Vlasov-Fokker-Planck equation offers a comprehensive description of the evolution of distribution functions in phase space, accounting for both deterministic and stochastic processes. The method proposed is designed to address the specific challenges associated with electron beam dynamics, providing enhanced accuracy in reconstructing phase space distributions.

In this work, we present a tomographic framework for reconstructing the phase space density of an electron bunch in the KARA synchrotron using simulated data and the Vlasov-Fokker-Planck equation.

Keywords: Dynamic Tomography; Phase space density; Vlasov-Fokker-Planck equation; Bunch profile; Simulation

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