3-D Simulation of Millimeter-Wave Cold Secondary-Emission Cathode Drift-Orbital Resonance Magnetrons

The mathematical 2-D model describing in a self-consistent fashion the physical processes in millimeter-wave (MMW) cold second-emission cathode (SEC) magnetrons operating on a space harmonics of non- pi - mode oscillation can be used to study both the dynamics of establishing self-induced oscillations and the stationary oscillations regimes (Sosnitskiy and Varviv, 2002). However the 2-D model does not take into account the finiteness of its space interaction axial length in these magnetrons. A 3-D mathematical model for the cold SEC magnetrons has been worked out allowing for the finiteness of the axial length of its space interaction (Kopot, 2005). The numerical experiment involves the use of the PIC code. The equations presented in (Vaughn, 1993) have been taken into consideration in simulating the secondary electron emission processes with regard to the angle at incidence of primary electrons. The input data for the numerical experiment are the parameters that can be measured: geometry of magnetron´s space interaction, natural frequency and the loaded Q of the oscillatory circuit on an operating mode, a permanent magnetic field and an anode voltage. The device output performances such as anode current, output power and efficiency are the results from calculations and do not require that their rough value are known. Simulations are made of dynamic processes of secondary electron multiplication and the device output in stationary mode