Peculiarities of charged particle motion in an annular channel with electrified walls

Abstract

The motion of charged particles in a straight hollow dielectric channel with electrified walls is considered in general form. It is shown that the motion of particles in the channel is periodic. In the first approximation, the potential of interaction of particles with the channel walls is harmonic. The relation between the period of oscillations of a particle in the channel and the physical parameters of the channel wall is derived. In a curvilinear channel (e.g., a ring), the resultant potential acquires a new term due to the centrifugal force. The particle in this case performs multiple contactless motion in the ring. At the same time, oscillations of particles in the ring take place. The motion in the ring is accompanied with emission of synchrotron and channeled radiation. If a thin (micrometer) target is introduced into the ring, high-intensity X rays and bremsstrahlung are observed. The directionality of radiation depends on the particle energy.