| Paper |
Title |
Page |
| MOPPH021 |
Impact of a Chirp and a Curvature in the Electron Energy Distribution on a Seeded Free Electron Laser
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43 |
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- A. A. Lutman
DEEI, Trieste
- P. Craievich, G. Penco
ELETTRA, Basovizza
- J. Wu
SLAC, Menlo Park, California
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In an free electron laser, the electron beam entering the undulator can have an initial energy curvature besides an initial energy chirp. In this paper, we derive the FEL Green function for the case of the electron beam having both an energy chirp and an energy curvature by solving the coupled Vlasov-Maxwell equations. We give an integral representation as well as an analytic expression for the Green function, providing an analytical expression for its temporal duration and its bandwidth. The FEL radiation properties can be evinced directly by the green function when the seed laser is very longer or very shorter than the temporal duration of the green function: in this configurations analytical expressions of the shift and of the chirp of the FEL radiation frequency are provided.
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