Phase focusing and synchronization of microwave generator with electron-oscillator flows

As part of simplified three-dimensional problem studied the self-excitation of the finite portion of the active medium on electron-oscillator flows at centrifugal electrostatic focusing. In addition to the study of the transverse motion of the electrons in each ensemble considered longitudinal movement and interaction of a large number of ensembles displaced in the longitudinal direction. Radiative interaction in multibeam microwave generator with electron-oscillators held by centrifugal electrostatic focusing leads to phase self-focusing in ensembles of oscillators and to rise of the dipole moment of the system over time. In the presence of feedback across the field this process leads to self-excitation of the small volumes of the active resonant medium and obtaining stationary generation. The impact of noise on the input of a flow determines the width of the spectral line. Radiative coupling of individual generators accompanied by their mutual synchronization and narrowing of a range of radiation.