Abstract
We develop a statistical theory of secondary-emission discharge (SED) taking the energy distribution of secondary electrons into account. The theory allows one to describe quantitatively the initial stage of development of a two-sided multipactor. For an arbitrary probability density of normal components of the ejection velocity and an arbitrary distance between the walls enclosing the microwave discharge plasma, we construct an analytical solution for the electron distribution function over transit times. The performed analysis is based on the results of a detailed study of conditions under which an electron reaches the opposite side. With allowance for the spread in thermal velocities, we derive a recurrence relation between the electron distribution functions over emission phases and formulate a general integral equation from which the resulting stationary distribution and the threshold of SED onset are determined.
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Vdovicheva, N.K., Sazontov, A.G. & Semenov, V.E. Statistical Theory of Two-Sided Multipactor. Radiophysics and Quantum Electronics 47, 580–596 (2004). https://doi.org/10.1023/B:RAQE.0000049556.18329.e9
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DOI: https://doi.org/10.1023/B:RAQE.0000049556.18329.e9