Dresden 2020 – scientific programme

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AKBP: Arbeitskreis Beschleunigerphysik

AKBP 3: Beam Dynamics

AKBP 3.5: Talk

Monday, March 16, 2020, 17:30–17:45, MOL 213

Efficient Semi-Lagrangian Vlasov-Simulation of FEL-type Phase-Space Densities — •Philipp Amstutz and Mathias Vogt — DESY, Hamburg, Germany

In semi-Lagrangian (SL) approaches a solution to the Vlasov-Equation is obtained by back-tracking its characteristics and subsequently evaluating the initial condition. These methods yield a smooth numerical approximation to the phase-space density (PSD), which can put them at an advantage over particle-based methods. For instance, when studying small-scale effects where the inherent stochastic noise of particle methods becomes burdensome, SL schemes are a promising alternative.

In free-electron lasers (FELs) the electron bunches typically exhibit an ``exotic'' structure in the longitudinal phase-space resembling a fine, wiggling hair-like band. Such PSDs are not efficiently captured by a regular grid, as large parts of the minimum bounding rectangle of the PSD are void and do not contribute to the dynamics of the system. We present a code which employs tree-based domain decomposition to overcome this problem and its application to the study of space-charge driven micro-bunching in bunch-compressor stages of FEL-injectors.