• K.Batrakov, S.Sytova
  Research Institute for Nuclear Problems of Belarus State University, Minsk, Belarus

First lasing of Volume Free Electron Lasers (VFEL) in mm wavelength range was obtained recently (NIM A483 (2002) 21). Theoretical investigations show that it is one of the effective schemes with volume distributed feedback (VDFB). In VFEL operation the linear stage quickly changes into the nonlinear one where most of the electron beam energy is transformed into electromagnetic radiation. A detailed numerical analysis of this stage is necessary for experiment design, optimal geometry determination and result processing. We proposed a mathematical model and numerical methods for VFEL modeling (Comp. Math. Math. Phys. 45(2005) 666). They are implemented in computer code VOLC (Math. Model. Anal. 11 (2006) 13). Different VFEL geometries are investigated in light of future experiments on VFEL device at INP. VFEL is analyzed as a dynamical system. Bifurcation points corresponding to transitions between different regimes of generation are considered. Dependence on position of bifurcation points on geometry of VDBF and other VFEL parameters are analyzed.

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