Homogeneous magnetic field in a cylindrical shell

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Abstract
Designing a magnetically focused ribbon beam electron gun is totally dependent on one's ability to produce a highly homogeneous magnetic field. Such fields complying with different criteria of homogeneity were generated using four coils. The design parameters that minimised the RMS deviation of the field intensity from a constant value throughout the region of interest, were determined numerically. Electrons' trajectories from points along the source to a plane target, were calculated to evaluate the effect of the residual inhomogeneity of the optimal field. A four-coil system accurately implementing optimal design parameters, was built and successfully tested.