Abstract
This chapter considers methods for solving the integro-differential equation describing the charged particle motion in axisymmetric electrostatic multipole-cylindrical fields using the optimally constructed superposition of the truncated power series. In the field superposition, the central circumference of the multipole coincides with the zero equipotential line of the logarithmic field. Proposed here is a method of trajectory calculation for the field, constructed as a superposition of the cylindrical and circular hexapole fields. The field is formed between two coaxial electrodes, the inner of which (placed at zero potential) is cylindrical, while the generatrix of the outer electrode with deflecting potential coincides with the equipotential line of the hexapole cylindrical field and has a curved profile. The calculations and analysis of electron-optical parameters of the mirror-type energy analyzers with a hexapole-cylindrical field are based on the theoretical studies presented.
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