Use of a modified paraxial formalism for particle beam dynamics: Application to liquid metal ion sources

Abstract
A modified paraxial formalism has been developed and used to describe two-dimensional ion beam dynamics in liquid metal ion sources with pointed geometries. It has been shown that appreciable differences exist between first-order and modified paraxial theory in the calculation of beam dispersion. For a singly charged ion the effects of mass and initial energies on calculated trajectories in the modified theory are demonstrated. Finally, it is argued that only the modified theory can accurately describe within the paraxial approximation the ion trajectories close to the apex of needle-type liquid metal ion sources.

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