PFC / JA - 93 - 11 Pierce - Type Dispersion Relation for an Intense Relativistic Electron Beam Interacting with a Slow - Wave Structure
نویسنده
چکیده
A Pierce-type dispersion relation is derived from field theory which describes the interaction of an intense relativistic electron beam with a cylindrical slow-wave structure of arbitrary corrugation depth. It is shown that near a resonance the Pierce parameter can be expressed in terms of the vacuum dispersion function and the space-charge parameter is proportional to a fill factor. The dispersion relation is valid in both the low-current (Compton) regime and the high-current (Raman) regime. The dispersion characteristics of the interaction, such as the linear instability growth rate and bandwidth, are analyzed in both regimes. PACS numbers: 41.60.Cr, 41.75.Ht, 52.75.Ms, 52.25.Wz
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تاریخ انتشار 2014