Abstract
Abstract A two-electrode cylindrical mirror energy analyzer of charged particles is proposed and calculated. It has a high luminosity due to the axisymmetric field distribution and second-order focusing in the detector plane. Charged particles are introduced into and removed from the analyzer without using grids through an opening in the end electrodes, where the field is practically absent. The electrostatic field of the analyzer is calculated analytically using the methods of the theory of functions of a complex variable. Numerical integration of differential equations of motion and the Monte Carlo method are used to model the behavior of charged particle beams. Analyzer variants with high dispersion and luminosity are calculated.