Immersion lens in the axially symmetric electrostatic systems based on a spherical sector deflector with spatial focusing of the second order

In this paper the results of computer simulation of energy analyzer systems are presented. The systems are based on a combination of hollow electrostatic lenses with various configurations of the axially symmetric sector spherical deflector with spatial focusing of the second order, such combination forming systems of axis to axis, axis to ring, ring to axis, ring to ring focusing. It is shown that the combination of hollow immersion lenses with systems based on the second order focusing spherical deflector provides high efficiency of these systems in high-resolution spectroscopy of charged particles. The particle separation in energy occurs in the deflector where particles energy is minimal and a relativistic shift of their trajectories is absent. due to this fact the energy scale of a spectrometer is absolutely linear and the energy error is determined only by an error of input electrostatic potentials. Based on investigated systems, the compact design of high-luminosity spectrometers is possible with energy resolving power in a range from several hundreds up to tens of thousands.