Stationary statistical theory of two-surface multipactor regarding all impacts for efficient threshold analysis

Abstract

Statistical multipactor theories are critical prediction approaches for multipactor breakdown determination. However, these approaches still require a negotiation between the calculation efficiency and accuracy. This paper presents an improved stationary statistical theory for efficient threshold analysis of two-surface multipactor. A general integral equation over the distribution function of the electron emission phase with both the single-sided and double-sided impacts considered is formulated. The modeling results indicate that the improved stationary statistical theory can not only obtain equally good accuracy of multipactor threshold calculation as the nonstationary statistical theory, but also achieve high calculation efficiency concurrently. By using this improved stationary statistical theory, the total time consumption in calculating full multipactor susceptibility zones of parallel plates can be decreased by as much as a factor of four relative to the nonstationary statistical theory. It also shows that the effect of single-sided impacts is indispensable for accurate multipactor prediction of coaxial lines and also more significant for the high order multipactor. Finally, the influence of secondary emission yield (SEY) properties on the multipactor threshold is further investigated. It is observed that the first cross energy and the energy range between the first cross and the SEY maximum both play a significant role in determining the multipactor threshold, which agrees with the numerical simulation results in the literature.

A continuum approach for multipactor using Vlasov–Poisson analysis

“…To reasonably neglect any velocity components tangential to the parallel plates, a spatially uniform oscillatory electric-field oriented normally to the parallel plates is simulated. This reduces the role of any angular velocity component from the Lorentz force and is in keeping with previous stationary and nonstationary multipactor calculations [27][28][29][30]. This is referred to as a 1D or 1D1V description of the multipactor phenomenon.…”

“…Despite the differences in material types in these publications, e.g. copper in [48,49] and silver in [28,29], the differing SEYs show qualitatively comparable results. Similarities beyond the first-order regime can also be made, such as the wedge or separation between first-and third-order multipactor zones and the blending of higher-order zones that makes them indistinguishable.…”

“…More recent multipactor susceptibility calculations also depict nearly identical behaviors in the first-order regime [28,29,48,49]. These four publications use different simulation techniques: stationary statistical techniques [29], nonstationary statistical theory in [28], map-based calculations [48], and semi-analytical approaches [49], respectively. Despite the differences in material types in these publications, e.g.…”

“…This unique shape of the first-order regime is attributed to the use of realistic SEE equations rather than constants; see for instance [47,48]. More recent multipactor susceptibility calculations also depict nearly identical behaviors in the first-order regime [28,29,48,49]. These four publications use different simulation techniques: stationary statistical techniques [29], nonstationary statistical theory in [28], map-based calculations [48], and semi-analytical approaches [49], respectively.…”