Author: Sytova, S.N.
Paper Title Page
WEPSB029
Simulation of Nonlinear Dynamics of Radiation Formed by High-Current Beams of Charged Particles in Multidimensional Space-Periodic Structures  
 
  • S.N. Sytova
    Belarussian State University, Scientific Research Institute of Nuclear Problems, Minsk, Belarus
 
  The principle of volume free electron lasers (VFEL) is based on the interaction of relativistic electron beam with two or more strong coupled electromagnetic waves generating in essentially non-one-dimensional geometry as a result of dynamical Bragg diffraction inside the resonator. Such resonator is a multidimensional space-periodic structure (natural or artificial electromagnetic (photonic) crystal). Previously VFEL were considered in various two- and three-wave diffraction geometries theoretically and experimentally. Here the general system of equations describing the various variants of multiple beam multi-wave VFEL is proposed. It takes into account multisection resonator, the dispersion of electromagnetic waves in the system, external reflectors etc. The mathematical modeling of two-beam two-wave VFEL was carried out using the proposed system of equations. It is shown that the change of current density of electron beams leads to change of VFEL chaotic dynamics and is one of the ways of chaos control in the system.  
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