Speaker
Description
Evaluation of microscopic beam instabilities is important for accurate study of space-charge dominated high-brightness beam dynamics. This is especially important for the Coherent Electron Cooling Proof-of-Principle experiment where amplification of Plasma Cascade Instability is required to demonstrate beam cooling. We present a numerical method to transform mechanical coordinates from particle tracking simulation code IMPACT-T to canonical coordinates. We use a HenonNet-based method to extract local linear symplectic transfer maps. By linearizing around the reference trajectory, we reduce the 3D Maxwell-Vlasov equation to a linear integral equation. Finally, we numerically solve the linear integral equation using the extracted symplectic maps to semi-analytically evaluate microscopic beam instabilities in the CeC POP lattice.
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