Applied Physics
N 3, 2002

New results of geometrized theory of dense electron beams
The review

V.A Syrovoy
The Lenin’s All-Russian Electrical Engineering Institute, Moscow, Russia

  In this paper we consider new results of the geometrized theory which one is the newest partition of modern optics of dense electron beams. The datas results are connected to models of higher approximations for not paraxial axisymmetrical and belt, nonrelativistic and relativistic streams with reference to problems of calculation of electron-optical systems (EOS) for perspective microwave beam-plasma devices (BPD) and powerful electron-beam valves (EBV).
   The dimensional electrostatic streams in the geometrized version are studied both within the framework of a revertive problem (synthesis) and within the framework of a direct formulation (analysis) with propagation of a beam in a given external field, which is traditionally decided with application of the frontal numerical methods of integration of input equations in partial derivatives. The apparatus of the geometrized models is ordinary differential equations.

Contents