Application of effective potential to investigation of two-dimensional lenses-mirror electrostatic systems with curvilinear axial trajectories

Movement equations of two-dimensional electron mirrors with curvilinear axial trajectory have been reduced to form similar for such mirrors with rectilinear axial trajectory by introduction of effective potentials. On the basis of this analogy the general expressions to within sizes of the second order trifle, describing time-of-flight and equation of a trajectory in an average plane in two-dimensional electronic mirrors with curvilinear by an axial trajectory are received. The space and time-of-flight focusing conditions and also conditions of elimination of separate kind aberration are determined. By numerical accounts the condition stigmatic focusing elimination spherical aberration of the second order in two and three-electrode mirror electrostatic power analyser are found which electrodes serve pairs of parallel plates divided by direct cracks. The time-of-flight focusing condition up to the second order inclusive for a three-electrode flat mirror are found also. (author)