Multipactor discharge on a dielectric surface: Statistical theory and simulation results

Sazontov, A. G.; Semenov, V. E.; Buyanova, M.; Vdovicheva, N. K.; Anderson, D.; Lisak, M.; Puech, J.; Lapierre, L.

doi:10.1063/1.2011348

Cited by 54 publications

(25 citation statements)

References 13 publications

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“…In this respect, we note that the conditions of multipactor onset on the dielectric surface were studied mainly numerically by the Monte-Carlo method [5][6][7][8][9], except for work [10] presenting an analytical solution of the problem, which allows one to determine the regions of existence of the multipactor discharge in the absence of an external magnetic field.…”

Section: Introductionmentioning

confidence: 99%

Influence of an external magnetic field on the threshold of multipactor onset on a dielectric surface

Vdovicheva

Sazontov

2007

Radiophys Quantum Electron

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537.521.7+621.385.6 In this paper, we propose a theoretical model of the initial stage of development of a one-sided secondary-emission (multipactor) discharge on a dielectric surface. Consideration is based on a statistical method supported by an exact analytical solution for the transit-time distribution function of secondary electrons. The general integral equation allowing us to determine the stationary emission-phase distribution functions and the threshold of multiplicator onset in the presence of an external magnetic field is formulated. It is shown that the presence of an external magnetic field can significantly change the conditions of multipactor onset. It is found that the discharge-zone boundaries calculated within the framework of a statistical model are in qualitative agreement with the results obtained by the Monte-Carlo method.

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Section: Introductionmentioning

confidence: 99%

Influence of an external magnetic field on the threshold of multipactor onset on a dielectric surface

Vdovicheva

Sazontov

2007

Radiophys Quantum Electron

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“…Recently, a new mechanism of multipactor discharge was found in wideband high-power systems when multiple carriers were used. In such a "multicarrier multipactor" [6][7][8][9], the fluctuation of secondary electrons between consecutive periods of the multicarrier signal can be accumulated, yielding a dynamic, "long-term" multipactor process [10,11]. This special multipactor discharge can be induced by low-energy electric field, and therefore potentially threatens the reliability of the wideband high-power RF and microwave systems in space and accelerator applications.…”

Section: Introductionmentioning

confidence: 99%

Multicarrier Multipactor Analysis Based on Branching Levy Walk Hypothesis

Song¹,

Wang²,

Cui³

et al. 2014

PIER

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Abstract-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 fields 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 diffusion of secondary electrons in homogeneous fields, the multicarrier multipaction in inhomogeneous fields can be analytically computed with significantly enhanced efficiency. As a demonstration, the accumulation of secondary electrons of a multicarrier multipaction in a rectangular waveguide supporting TE 10 mode is given. The theoretical results comply well with the results achieved by the time-consuming particle simulation, the slope difference of which is less than 0.8%, while only costs one-order less computational time. To the best of our knowledge, this is the first time that the probability density of the lateral diffusion 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.

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“…For complicated structures this process becomes extremely complex. For this reason, the statistical approach has so far only been applied to double-sided multipactor between parallel plates [15][16][17][18] , in a rectangular waveguide 19 , and single-sided multipactor on a dielectric surface 20 . The theory has also recently been generalized to multicarrier signals, again in the parallel plates geometry 21 .…”

Section: Introductionmentioning

confidence: 99%

“…The inhomogeneity of the electric field can be incorporated using the concept of the ponderomotive force, which affects the electron drift velocity 10,20,[28][29][30] , and the concept of geometrical spreading can be used to model curved surfaces by diluting the electron density appropriately 29 .…”

Section: Introductionmentioning

confidence: 99%

Non-resonant multipactor—A statistical model

Rasch

Johansson

2012

Physics of Plasmas

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High power microwave systems operating in vacuum or near vacuum run the risk of multipactor breakdown. In order to avoid multipactor, it is necessary to make theoretical predictions of critical parameter combinations. These treatments are generally based on the assumption of electrons moving in resonance with the electric field while traversing the gap between critical surfaces.Through comparison with experiments, it has been found that only for small system dimensions will the resonant approach give correct predictions. Apparently, the resonance is destroyed due to the statistical spread in electron emission velocity, and for a more valid description it is necessary to resort to rather complicated statistical treatments of the electron population, and extensive simulations. However, in the limit where resonance is completely destroyed it is possible to use a much simpler treatment, here called non-resonant theory. In this paper we develop the formalism for this theory, use it to calculate universal curves for the existence of multipactor, and compare with previous results. Two important effects that leads to an increase in the multipactor threshold in comparison with the resonant prediction are identified. These are the statistical spread of impact speed, which leads to a lower average electron impact speed, and the impact of electrons in phase regions where the secondary electrons are immediately reabsorbed, leading to an effective removal of electrons from the discharge.

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Multipactor discharge on a dielectric surface: Statistical theory and simulation results

Cited by 54 publications

References 13 publications

Influence of an external magnetic field on the threshold of multipactor onset on a dielectric surface

Influence of an external magnetic field on the threshold of multipactor onset on a dielectric surface

Multicarrier Multipactor Analysis Based on Branching Levy Walk Hypothesis

Non-resonant multipactor—A statistical model

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