Motion of electrons in a hypocycloidal monochromator

Motion of electrons in a hypocycloidal monochromator, which uses a uniform axial magnetic field and a cylindrical electric field has been investigated. Analytical equations for trajectories of electrons (charged particles in general) in the monochromator have been obtained for the case that neglects fringing fields at the boundaries of electrodes. Electron trajectories have been studied as a function of the monochromator parameters.