ON SOME NUMERICAL MODEL TO SOLVING DYNAMICAL EQUATIONS OF NONRELATIVISTIC AND RELATIVISTIC BACKWARD-WAVE TUBE

Abstract

It is developed an effective computational approach to solution the master corresponding system of differential equations, which describe the nonlinear stationary and non-stationary electromagnetic processes in the nonrelativistic and relativistic backward-wave tubes (carcinotrons) with maximal accounting for the different physical factors such as the relativistic effects, effects of dissipation, the presence of a space charge, wave reflections at the ends of the slowing system, stochastic factors by means including the special elements in a whole system etc as well as the detailed investigation of characteristics (dynamical and topological invariants) of dynamics of a carcinotron in automodulation and chaotic regimes with construction the corresponding bi-furcation diagrams. Below in order to further solve the master system of dynamical equations for carcinotron it is presented in brief the realizing numerical scheme, based on the use of the conservative finite-difference schemes of the "predictor-corrector" type and the sweep algorithm.