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

• URL: http://arxiv.org/abs/2207.10352v1
• Date: Thu, 21 Jul 2022 08:15:53 GMT
• Title: Evolution of the accelerated charged vortex particle in an inhomogeneous magnetic lens
• Authors: S.S. Baturin, D.V. Grosman, G.K. Sizykh and D.V. Karlovets
• Abstract summary: We present a detailed analysis of the capture and acceleration of a non-relativistic charged vortex particle with an orbital angular momentum in a field of an axisymmetric electromagnetic lens. 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 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.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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.

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