The FEL paraxial wave equation is investigated within the context of the method of the approximants, which has been successfully applied to the one-dimensional FEL dynamics including high gain, inhomogeneous broadening and saturation effects. The method is effective in confining the transverse mode dynamics into a simple analytical model, which is amenable for a fast and reliable numerical procedure, appropriate to small computers. The case of uniform e-beam current profile is considered in some details. Numerical results are presented and compared with those from more sophisticated codes.
|Pages (from-to)||265 - 268|
|Number of pages||4|
|Journal||Nuclear Instruments and Methods in Physics Research, Section A: Accelerators, Spectrometers, Detectors and Associated Equipment|
|Publication status||Published - 1 Jul 1997|
All Science Journal Classification (ASJC) codes
- Nuclear and High Energy Physics
Dattoli, G., Carpanese, M., Sabia, E., Segreto, A., Torre, A., & Voykov, G. K. (1997). Evolution of transverse modes in FEL and the method of approximants. Nuclear Instruments and Methods in Physics Research, Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, 393(1-3), 265 - 268. https://doi.org/10.1016/S0168-9002(97)00489-0