The model of nonlinear non-stationary descrete interaction of the electron beams with the waves in a slow-wave structure

We describe the model of nonlinear non-stationary discrete electron-wave interaction in a finite segment of the slow-wave structure (SWS). It is based on the equation of excitation in the finite-differences 2-th order, which includes local coupling impedance and the electron beam current determined by averaging of local currents on the width of the gap. The method of large particles is used in current calculations. The algorithm and a results example are presented. The model can be used for simulating of the process of fixing of oscillations in the discrete SWS.