The Process of Establishing Oscillations in Backward Wave Oscillator in the Framework of Two-Dimensional Theory

Abstract

The article is devoted to the studying the processes of establishing oscillations in the generator on backward wave. The superregenerative mode has been considered within the framework of the linear theory. In the analysis, a complex frequency is introduced, the imaginary part of which characterizes the increase in oscillations over time. One of the main peculiarities of considered two-dimensional model is accounting focusing magnetic field effect. In the presence of longitudinal magnetic field of finite magnitude the transverse high frequency displacements in electron beam occur in addition to the longitudinal ones. The method of successive approximations has been used in analysis. The case of cyclotron resonance is considered separately, when only a slow cyclotron wave is excited in the electron beam, which noticeably simplifies the original problem and the initial relations.