MULTICARRIER MULTIPACTOR ANALYSIS BASED ON BRANCHING LEVY WALK HYPOTHESIS

In this paper, we propose a stochastic approach for the analytical analysis of the multicarrier multipactor discharge occurring in high-power vacuum microwave devices, in which electric flelds are not homogeneously distributed. We indicate that the statistical behavior of large amount of secondary electrons in the process of a multipactor discharge can be well described by the probabilistic random walk and Levy walk theory. Based on the derived probability density of the lateral difiusion of secondary electrons in homogeneous flelds, the multicarrier multipaction in inhomogeneous flelds can be analytically computed with signiflcantly enhanced e-ciency. As a demonstration, the accumulation of secondary electrons of a multicarrier multipaction in a rectangular waveguide supporting TE10 mode is given. The theoretical results comply well with the results achieved by the time-consuming particle simulation, the slope difierence of which is less than 0.8%, while only costs one-order less computational time. To the best of our knowledge, this is the flrst time that the probability density of the lateral difiusion of secondary electrons during a multipaction is theoretically derived. This density depicts the physical picture of the statistical movement of secondary electrons during the process of a multicarrier multipactor, which can be widely used in the areas of high-power electronics and electromagnetism.