Abstract
Abstract To determine the behaviour of time-of-flight mass analyzers containing rotationally symmetric electrostatic lenses and mirrors, transfer matrices up to third and fifth order have been determined. For this purpose the distribution of the electrostatic potential is calculated from the geometry and the potentials of the electrodes and a reference particle is traced through this distribution using differential algebra. By varying some parameters specific elements of the transfer matrix or of combinations thereof can be minimized by numerical multiparameter fits thus obtaining for instance energy-independent transversal and/or longitudinal focusing to first and/or second order.
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