Abstract

Analysis of known experimental data for the boundaries of the multipactor discharge in a flat gap shows that these data cannot be explained in the frames of a simple two-point theory. More complicated theories include repeating impacts of the electrons on the same surface before they hit the opposite one. Here an approach is proposed that can illustrate many of these theories: a phase map connecting the start and arrival phases of the electrons coming to the same or opposite plate. This illustrative technique leads to a concept of a generalized phase stability. Introduction of the generalized condition of stability helps to understand the expanding of multipacting zones beyond the limits predicted by the simple stability condition. The phase diagrams illustrate the phase motion when the simple condition of stability is applicable or not applicable.

Highlights

  • Generalized phase stability in multipactingValery Shemelin* Cornell Laboratory for Accelerator-based Sciences and Education (CLASSE), Ithaca, New York 14853, USA (Received 24 June 2011; published 20 September 2011)

  • The first two-point theory of the multipactor discharge in a flat gap [1,2] explains existence of borders of multipacting bands, or zones. This theory uses an assumption introduced by Gill and von Engel [3] that a parameter k equal to the impact velocity of the primary electrons relative to the emission velocities of secondaries is constant

  • This nonphysical assumption was replaced with the more realistic assumption of a nonzero initial velocity not directly related to the velocity of the primary electrons [4,5]

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Summary

Generalized phase stability in multipacting

Valery Shemelin* Cornell Laboratory for Accelerator-based Sciences and Education (CLASSE), Ithaca, New York 14853, USA (Received 24 June 2011; published 20 September 2011). Analysis of known experimental data for the boundaries of the multipactor discharge in a flat gap shows that these data cannot be explained in the frames of a simple two-point theory. More complicated theories include repeating impacts of the electrons on the same surface before they hit the opposite one. An approach is proposed that can illustrate many of these theories: a phase map connecting the start and arrival phases of the electrons coming to the same or opposite plate. This illustrative technique leads to a concept of a generalized phase stability. The phase diagrams illustrate the phase motion when the simple condition of stability is applicable or not applicable

INTRODUCTION
VALERY SHEMELIN
CONCLUSIONS
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