Abstract
We present the theory of self-consistent interaction of crooked relativistic electron beam within and near the e.m. field caustic zones of jumping ball and whispering gallery types being formed in open resonators of elliptical cylindrical symmetry. On the basis of numerical analysis of nonlinear system of equations by applying a large-particles method, the principal possibility to design the multiwave synchro-Cherenkov amplifiers and generators is shown.
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