Analytical Potentials for the Efficient Simulation of Planar and Axisymmetric Ion Mirrors

Abstract

In this paper, we obtained analytical equations for electrostatic fields of two-dimensional planar and axially symmetric mirrors with piecewise-constant and piecewise-linear potentials on electrode surfaces located symmetrically in parallel planes or on a cylindrical surface, in particular, in the presence of an additional end electrode. The results can be used for the efficient optimization of aberration properties of time-of-flight mass analyzers and electrostatiс ion traps with gridless ion mirrors based on both standard planar or ring-type electrodes with finite gaps between them and PCB plates.