Statistical theory of the initial study of the multipactor discharge in a rectangular waveguide is constructed. The recurrent relation between the emission phase and position distributions is derived taking into account the velocity spread of secondary electrons. A general integral equation allowing prediction of the threshold value of the secondary yield (above which electron multipaction occurs) is formulated. It has been found that the presence of directional anisotropy can significantly alter the multipacting discharge cutoff conditions in comparison with isotropic emission. It has been established that the combined action of tangential velocity components and magnetic field leads to an increase of the threshold of multipactor growth.
We study the influence of the thermal spread in ejection velocities of secondary electrons on the initial stage of development of a two-sided multipactor. The analysis employs a statistical method based on an exact analytical solution for the electron distribution function over times of transit through the vacuum gap. The obtained theoretical relations are used as the basis for a numerical algorithm which takes into account both the angular and energy distributions of secondary electrons and makes it possible to calculate quantitatively the main multipactor characteristics for the actual dependence of the secondary-emission ratio of the walls on the energy of bombarding electrons. Detailed numerical calculations of the multipactor zones are presented. It is shown that the presence of angular anisotropy can change significantly the conditions of production of the secondary-emission discharge as compared with the case of isotropic emission.
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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