Applied Physics
N 3, 2002
New
results of geometrized theory of dense electron beams
The review
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.