Airy transform of an electron Landau state in a longitudinal constant magnetic field

Huilin Tang; Zhejue Fan; Shigen Ouyang; Zhenwu Mo; Danlin Xu; Haoyu Huang; Dongmei Deng

Results in Physics (Jul 2023)

Airy transform of an electron Landau state in a longitudinal constant magnetic field

Huilin Tang,
Zhejue Fan,
Shigen Ouyang,
Zhenwu Mo,
Danlin Xu,
Haoyu Huang,
Dongmei Deng

Affiliations

Huilin Tang: Provincial Key Laboratory of Nanophotonic Functional Materials and Devices, South China Normal University, Guangzhou 510631, China; School of Information and Optoelectronic Science and Engineering, South China Normal University, Guangzhou 510006, China
Zhejue Fan: Provincial Key Laboratory of Nanophotonic Functional Materials and Devices, South China Normal University, Guangzhou 510631, China; School of Information and Optoelectronic Science and Engineering, South China Normal University, Guangzhou 510006, China
Shigen Ouyang: Provincial Key Laboratory of Nanophotonic Functional Materials and Devices, South China Normal University, Guangzhou 510631, China; School of Information and Optoelectronic Science and Engineering, South China Normal University, Guangzhou 510006, China
Zhenwu Mo: Provincial Key Laboratory of Nanophotonic Functional Materials and Devices, South China Normal University, Guangzhou 510631, China; School of Information and Optoelectronic Science and Engineering, South China Normal University, Guangzhou 510006, China
Danlin Xu: Provincial Key Laboratory of Nanophotonic Functional Materials and Devices, South China Normal University, Guangzhou 510631, China; School of Information and Optoelectronic Science and Engineering, South China Normal University, Guangzhou 510006, China
Haoyu Huang: Provincial Key Laboratory of Nanophotonic Functional Materials and Devices, South China Normal University, Guangzhou 510631, China; School of Information and Optoelectronic Science and Engineering, South China Normal University, Guangzhou 510006, China
Dongmei Deng: Corresponding author at: Provincial Key Laboratory of Nanophotonic Functional Materials and Devices, South China Normal University, Guangzhou 510631, China.; Provincial Key Laboratory of Nanophotonic Functional Materials and Devices, South China Normal University, Guangzhou 510631, China; School of Information and Optoelectronic Science and Engineering, South China Normal University, Guangzhou 510006, China

Journal volume & issue: Vol. 50
p. 106552

Abstract

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In this article, a relationship between the electron beams in a longitudinal constant magnetic field and light beams in a parabolic refractive index distribution medium is revealed and demonstrated analytically. We propose a new method to work out the properties of the singularity in that analytical expression and have a discussion on some universal features of electron beams in a longitudinal constant magnetic field. Based on the theories above, we introduce a new type of structured electron beams, which is the Airy transform of electron Landau states (ATLSs). We not only study the dynamic of ATLSs and the magnetic field analytically and numerically but also carry out the movement of centroid and the dual auto-focusing property of ATLSs. Moreover, we have a discussion on the influence on ATLSs of Airy control parameters and the parameters of electron Landau states.

Published in Results in Physics

ISSN: 2211-3797 (Online)
Publisher: Elsevier
Country of publisher: Netherlands
LCC subjects: Science: Physics
Website: http://www.journals.elsevier.com/results-in-physics/

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