Abstract
We theoretically analyse the influence of the electron beam parameters on the radiation in free electron lasers (FELs). We consider three FEL installations, SPARC, LEUTL and SwissFEL, where several experiments with different values of the beam emittance, energy spread and current were conducted and documented in details. Based on the available data and on our analytical approach to the FEL harmonic power computation, we distinguish the key factors, affecting the harmonic generation, and compare our theoretical results with the available experimental data. Alternative theoretical approaches were also employed for the harmonic power estimation. At the reviewed installations and experiments the variation of the emittance, energy spread and electron current occurred; we model these experiments with account for all variations, and analyze and compare the results with each other for different sets of parameters; we compare the results with the available experimental data and measurements. We demonstrate as the emittance, the energy spread and the beam current density values interplay in their influence on the radiation characteristics of a single pass FEL and we show as individual variations of these parameters can mutually compensate each others influence to some degree.
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