Second-order focusing of a bounded cylindrical field for a distant source

Abstract

Non-relativistic equations of motion have been solved numerically in order to calculate the focusing properties of a cylindrical field between concentric cylinders of radii R1 and R2 with two boundaries along the Z-axis, for charged particles emitted by a source that is distant from the analyser and located on the axis of symmetry. It was shown that this system exhibited second-order focusing. For a point focus and a distant source a dispersion value was obtained equal on average to 4.6R1. The effect of variation of parameters on the focusing has been studied and some regressions for estimating the focusing characteristics were obtained.

An electrostatic face-field energy analyser for space and plasma measurements

“…In the paper [5] it was preliminarily found out that a cylindrical field, bounded along the axis of symmetry, can prove secondorder focusing for a parallel flow of charged particles. Further new results were obtained in our recent papers [6][7][8] where high-resolving analysers based on a cylindrical face field with 'point-to-point' and 'ring-to-point' configurations were proposed.…”

New electrostatic energy analyzer for space plasma measurements

“…In the paper [5] it was preliminary found out that cylindrical field bounded with two plates along the axis of symmetry can prove the second order focusing for a parallel flow of charged particles. Further new results were obtained in our recent papers [6]- [8] where high-resolving analyzers based on a cylindrical face-field with "point-to-point" and "ring-to-point" focusing configurations were [5] proposed.…”

High-resolving electrostatic charged particles energy analyzer with fine tuning for space investigations

“…The field is restricted by concentric cylindrical surfaces with radii R 1 and R 2 and two flat surfaces perpendicular to the z-axis [6] with a distance L between them (see figure 1). The potential distribution of this electrostatic system can be written as follows…”

“…In the paper [5] it was found out, that that a cylindrical field bounded along axis of symmetry can prove the second order focusing for a parallel flow of charged particles. In the papers [6]- [8] we investigated possible configurations of face-field analyzers, free of fringe-field distortion effects, but with fixed ion-optical parameters. In the present paper we consider results of the investigations of the focusing properties of a bounded cylindrical field with fine tuning in order to build a high energy resolving, compact energy analyzer for measurements of energetic characteristics of charged particle flows in space For example, such instrument can find out application in measurements of solar wind flows and for forecasting the rapid changes of solar activity.…”