Calculation of electron-optical characteristics of a quadrupole-cylindrical field

Abstract

The article is devoted to the calculation and analysis of electron-optical characteristics of a electrostatic quadrupole-cylindrical field. The object of the research is the development of an energy analyzer based on a quadrupole-cylindrical field. The structure of electrostatic quadrupole-cylindrical fields is obtained on the basis of the superposition of a basic cylindrical field and axially symmetrical cylindrical quadrupoles. The calculation of electron-optical characteristics of a quadrupole-cylindrical field was fulfilled on the basis of the analytical method for calculating of trajectories of charged particles. The problem of integrating of differential equations of charged particle motion and the analytical description of the trajectory equation in a quadrupole-cylindrical field has been solved. A projection of charged particle trajectory from the source to its image has been calculated. The main aberration coefficients that determine the conditions of secondorder angular focusing are calculated. The most optimal scheme of a quadrupole-cylindrical mirror for energy analysis has been found.