Equivalent Circuit Model and Analysis of Rising-sun Magnetron Resonant System

Equivalent circuit of rising-sun magnetron is analyzed in this paper, and resonant frequencies of each mode are calculated by expressions of equivalent capacitance and inductance of sector cavity. The formula of resonant frequency was simplified and then an expression of resonant frequency as a function of structure dimensions is derived. Moreover, the influence of structure dimensions on π-mode resonant frequency is analyzed. The results showed that the equivalent circuit result is consistent with simulation result, approximately. Especially, the π-mode resonant frequencies obtained by two methods are consistent well with each other. Besides, π-mode resonant frequency increased with the increasing of big cavity radius, small cavity radius and its angle, while it increases with the decreasing of small cavity angle. Therefore, the equivalent circuit theory in this paper is available and it can help to predesign and analyze resonant system of rising-sun magnetron.