Mathematical modeling of acceleration in a racetrack microtron at 50 MeV with a limited number of orbits

Abstract

A mathematical model of a racetrack microtron at 50 MeV is described. A special feature of the accelerator is that the transverse dimensions of the accelerating section of the microtron are substantial. To bypass this section in the first revolution, the acceleration factor is increased to four. Another feature of the accelerator is that the beam is injected directly into the accelerating section with comparatively low energy. The frequency of the accelerating section is 1500 MHz, the increment to the beam energy in one revolution is ∼10 MeV, the number of revolutions is 5, and the injection energy is 0.75–0.88 MeV. Modeling showed that the phase-energy region from which particles are trapped in an accelerating regime is large, which makes it possible to obtain an intense accelerated beam at the exit.