Evolution of the accelerated charged vortex particle in an inhomogeneous magnetic lens

TL;DR

This paper analyzes how non-relativistic charged vortex particles with angular momentum can be captured and transported through an inhomogeneous electromagnetic lens, considering real-world imperfections and preserving their wave structure.

Contribution

It introduces a formalism for capturing and transporting vortex particles in inhomogeneous fields, accounting for imperfections and preserving wave packet structure.

Findings

Conditions for successful particle capture and transport are established.

The formalism describes the transition process of wave packets into Landau states.

Examples illustrate the preservation of wave structure during transport.

Abstract

We present a detailed analysis of the capture and acceleration of a non-relativistic charged vortex particle (electron, positron, proton, etc.) with an orbital angular momentum in a field of an axisymmetric electromagnetic lens, typical for a linear accelerator. We account for the acceleration as well as for the inhomogeneity of both electric and magnetic fields that may arise from some real-life imperfections. We establish conditions when the wave packet can be captured and successfully transported through the lens. We describe the transition process and explain how a free Laguerre-Gaussian packet could be captured into the Landau state of the lens preserving its structure for all moments in time. Several representative examples are provided to illustrate developed formalism.