Nonlinear theory of long-range-interaction resonant generators

A nonlinear self-consistent theory has been developed for resonant electronic generators of long-range interaction. The theory has been under development for devices whose electrodynamic system has a high Q-factor and a sufficiently rarefied spectrum. In accordance with the initial physical situation, the mathematical model under consideration has been obtained in the form of a system of differential equations, and an algorithm for its numerical solution has been proposed. The maximum amplitude of the generated oscillations in an open cavity with a Gaussian distribution of the field has been calculated analytically.