Pierce-type dispersion relation for an intense relativistic electron beam interacting with a slow-wave structure

Chiping Chen

doi:10.1117/12.175761

13 May 1994 Pierce-type dispersion relation for an intense relativistic electron beam interacting with a slow-wave structure

Chiping Chen

Author Affiliations +

Proceedings Volume 2154, Intense Microwave Pulses II; (1994) https://doi.org/10.1117/12.175761
Event: OE/LASE '94, 1994, Los Angeles, CA, United States

Abstract

A Pierce-type dispersion relation is derived for 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 beam current. 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 for both regimes.

Citation Download Citation

Chiping Chen "Pierce-type dispersion relation for an intense relativistic electron beam interacting with a slow-wave structure", Proc. SPIE 2154, Intense Microwave Pulses II, (13 May 1994); https://doi.org/10.1117/12.175761

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