New spatial cyclotron accelerator

Summary form only given. Considering a charged particle in a circularly polarized wave propagating along a non-homogeneous constant magnetic field, new acceleration mechanisms are described. The synchronous resonance of Roberts and Buchsbaum (1964) is very efficient over a short distance along the propagation direction of the wave. Moreover, this acceleration mechanism is very sensitive to the inaccuracy of the initial conditions when considering a large distance of propagation. Our idea is to use this mechanism over a short distance first, then the particle is introduced to a region where the magnetic field is no longer homogeneous.