Nonautonomous regime of oscillations in resonance oscillators with distributed interaction
Abstract
Electrons are derived which describe the modulatedelectronbeam excitation of a resonator containing a periodic structure. The behavior of the field amplitude and phase is described by a system of differential equations characteristic for a system of Thomson type with one degree of freedom. For small beam modulation, general representations are obtained for the coefficients of these equations, describing the properties of the nonlinear systems under consideration. It is shown that synchronous and asynchronous oscillation regimes may exist in a resonator with a periodic structure during the modulation of the beam by an external signal at the input to the interaction space. The results are applicable to such devices as diffractionradiation generators, orotrons, and resonance BWTs.
 Publication:

Radiotekhnika i Elektronika
 Pub Date:
 August 1984
 Bibcode:
 1984RaEl...29.1580V
 Keywords:

 Distributed Parameter Systems;
 Electron Oscillations;
 Microwave Oscillators;
 Millimeter Waves;
 Resonators;
 Synchronized Oscillators;
 Backward Wave Tubes;
 Differential Equations;
 Diffraction Radiation;
 Electron Beams;
 Forced Vibration;
 Periodic Functions;
 Self Oscillation;
 Thomson Scattering;
 Velocity Modulation;
 Electronics and Electrical Engineering