Abstract
In this paper we will examine theoretically the dynamics of the development of the two-stream instability in the interaction of an unmodulated relativistic beam with such a cavity. Our goal is to determine the maximum amplitude of the excited field, with an account of the opposition of this field to the motion of the beam particles, and to determine the energy distribution of the beam at the cavity exit. This distribution is interesting, in particular, for the development of the self-acceleratio n of an electron beam proposed in
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