Pryimak O. The mathematical models and methods of computation of excitation and stability of the intense waves in plasma electronics devices

The object of research - the processes of excitation and absorption of oscillations in beam-plasma microwave generators and in devices of plasma heating by electron beam. The goal – to increase the efficiency of the processes of choosing rational parameters of beam-plasma microwave generators and amplifiers, as well as to determine the conditions and degree of ions heating to predict the effect on the walls of devices by improving mathematical models and computational methods. The methods – principles and methods of mathematical modeling of plasma, beam-plasma interaction and modulation instability of plasma oscillations; principles of parallel programming and methods for solving the differential equations; method of sequential analysis of options. The results – a system model of the process of interaction of an electron beam and modulation instability of an excited field in a plasma is constructed; algorithmic models of the processes of modulation instability of the excited field in the plasma and the interaction of the electron beam with plasma oscillations using the CUDA technology were built; computational method for ion temperature estimation had been improved. Implemented - at the NSC “Kharkov Institute of Physics and Technology” in studies of nonlinear wave processes and wave-particle interactions in periodic waveguide structures of plasma electronics and microwave devices, which made it possible to clarify the parameters of the beam-plasma generator in order to improve its technical characteristics.