Abstract
A mathematical model is presented for self-consistent interaction of pulsed electron flows with the electromagnetic waves they excite in irregular waveguides. The model is applied to axially symmetric systems and based on simultaneous solution of an inhomogeneous system of nonstationary waveguide equations and relativistic equations of motion of a system of quasi-particles that approximate the electron flow. Results of calculations are presented for the case of a pulse of photoelectrons emitted from the walls of a hyperboloid of revolution. The flow is accelerated preliminarily by means of a grid that has a high transmission factor.
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