Accurate trajectory tabulations for benchmark electrostatic geometries

Abstract The lack of accurate data on trajectoriesthat originate from or pass through equipotential surfacesas in the hemispherical deflector or cylindrical mirror analyzers is apparent. This absence of trajectorydata is remedied in this report by defining a set of benchmark geometries and determining accurate interceptvalues for selected rays through these geometries. Accurate tables of interceptvalues have been thus created and are presented allowing the testing of any simulation software against these trajectorysolutions. In addition preliminary studies using a generic BEM for both the centric HDA and SC have found that the trajectory interceptdata for a given number of segments in BEM is similar to an order 2 FDM solution using an equivalent mesh spacing. The implication is that BEM seems to be an order 2 process when considering trajectoryerrors in these geometries.