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Simple Code for the Growth Rates of Free-Electron Lasers
R.El-Bahi,M.N.Rhimi,A.W.Cheikhrouhou 한국물리학회 2002 THE JOURNAL OF THE KOREAN PHYSICAL SOCIETY Vol.40 No.2
A model for a free-electron laser (FEL) with helical and axial magnetic elds has been investigated theoretically. The dispersion relations for the transverse and the longitudinal modes for the onedimensional linear case are derived using a uid model for the electron beam. The modes with positive and negative helicities are clearly selected. An analytically solvable expression for the growth rates of the modes, exactly in resonance with the beam, is obtained. We present a simple computer code GRFEL, based on analytical formulae and obtained within the context of the theory of FEL, which requires negligible CPU time and runs on small computers. Fixing three of the ve parameters of the FELs (the wiggler field, the axial magnetic eld, the wiggler wavevector, the electron relativistic factor, and the plasma frequency), GRFEL sweeps the spectrum of the remaining parameters, giving three-dimensional curves of the growth rate. This enables us to select the best operating zones and exclude the forbidden regions for the FEL being investigated. An output sample of GRFEL describing the dependence of the growth rate on the parameters of the system is given.
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