Optimization of resonant O-type oscillators with distributed interaction

The optimization of the electronic efficiency of orotron-type oscillators with distributed interaction on the basis of optimal-control theory is considered. Desynchronization between wave velocity and beam-electron velocity is selected as the control. It is demonstrated that optimal nonrelay laws for the change in desynchronization along the interaction space can exist. Numerical results obtained by direct methods and by methods based on the Pontriagian maximum principle are compared, and macroprocesses and microprocesses in the oscillator under optimal desynchronization are analyzed. It is concluded that optimal-control methods based on the maximum principle are suitable for the optimization of resonant O-type oscillators with distributed interactions.