Focusing and transport of sheet electron beams

Sheet electron beams can transport stably in periodically cusped magnetic fields(PCMs). Two-plane focusing and edge focusing of the sheet beams with rectangular cross section of finite width are investigated using single-particle model. Theoretical and numerical analyses show that offset-pole PCM configuration is effective in edge focusing, while both PCM and offset-pole PCM configurations are incapable of two-plane edge focusing. The PCM-PQM(periodic quadrupole magnetic field) configuration has inherent advantages for independent adjustment of edge fields so that two-plane focusing and edge focusing can be accomplished in both transverse dimensions.