Speaker
Description
A theoretical framework for understanding and controlling mode selection in echo-enabled harmonic generation (EEHG) free-electron lasers (FELs) at high harmonic numbers is presented. In EEHG, adjacent harmonics naturally exhibit comparable microbunching amplitudes, creating a unique opportunity to work with different spectral components. To capture this process, we benchmark orthogonal transverse-mode expansions against a Maxwell–Vlasov treatment of FEL gain. This framework enables a quantitative comparison between modal descriptions and first-principles kinetic theory, with emphasis on the role of transverse structure, detuning, and polarization in mode competition. This work serves as a blueprint for future computational methods to optimize selective amplification of neighboring harmonics. The final analysis aims to reveal the extent of transverse restructuring driven by instabilities that can break degeneracies in mode competition, reduce the demand for start-to-end simulations, and inform the feasibility of the machine setup for future experimental studies.
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