Pontriagin's maximum principle in problems of the optimization of diffraction electronic instruments

The possibilities afforded by the use of Pontriagin's maximum principle in electronics are demonstrated by applying it to an optimization problem of practical interest. The problem consists of optimizing the parameters of a maximum-efficiency diffraction oscillator for a given power output over a specified frequency range for a selected electron gun. As an example, the optimization problem is solved numerically for an oscillator with a Gaussian distribution of the high-frequency field envelope in an open resonator.