Undulators and generation of X-ray pulses in free-electron lasers with self-amplified spontaneous emission

The results of theoretical examination and comparative analysis of synchrotron radiation sources (specifically, undulators and X-ray free-electron lasers (FELs)) are presented. The problem of generation of shorter radiation pulses is prioritized; undulator systems and their corresponding FELs, which are considered to be the most promising in terms of generation of high-frequency ultrashort pulses of such radiation (in particular, in the X-ray range) are studied. The possibility of generation of higher harmonics is explored. The advantages and disadvantages of single-pass (with no reflecting elements) and multi-pass (with mirrors) FEL lasing schemes are revealed. The potential to reduce the duration of laser pulses produced by undulators and FELs and use them as sources of femtosecond pulses is investigated. The prospects for further development of X-ray free-electron lasers and the ways to improve the quality of their radiation with the given parameters are discussed.