Volume 536, Issue 7 2300529
Research Article

Electron Odd-Pearcey Gaussian Beams Propagating In a Constant Magnetic Field

Xuezhen Cai

Xuezhen Cai

School of Information and Optoelectronic Science and Engineering, South China Normal University, Guangzhou, 510006 China

Guangdong Provincial Key Laboratory of Nanophotonic Functional Materials and Devices, South China Normal University, Guangzhou, 510631 China

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Huilin Tang

Huilin Tang

School of Information and Optoelectronic Science and Engineering, South China Normal University, Guangzhou, 510006 China

Guangdong Provincial Key Laboratory of Nanophotonic Functional Materials and Devices, South China Normal University, Guangzhou, 510631 China

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Haoyu Huang

Haoyu Huang

School of Information and Optoelectronic Science and Engineering, South China Normal University, Guangzhou, 510006 China

Guangdong Provincial Key Laboratory of Nanophotonic Functional Materials and Devices, South China Normal University, Guangzhou, 510631 China

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Hailong Wu

Hailong Wu

School of Information and Optoelectronic Science and Engineering, South China Normal University, Guangzhou, 510006 China

Guangdong Provincial Key Laboratory of Nanophotonic Functional Materials and Devices, South China Normal University, Guangzhou, 510631 China

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Xingyi He

Xingyi He

School of Information and Optoelectronic Science and Engineering, South China Normal University, Guangzhou, 510006 China

Guangdong Provincial Key Laboratory of Nanophotonic Functional Materials and Devices, South China Normal University, Guangzhou, 510631 China

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Yanru Chen

Yanru Chen

School of Information and Optoelectronic Science and Engineering, South China Normal University, Guangzhou, 510006 China

Guangdong Provincial Key Laboratory of Nanophotonic Functional Materials and Devices, South China Normal University, Guangzhou, 510631 China

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Dongmei Deng

Corresponding Author

Dongmei Deng

School of Information and Optoelectronic Science and Engineering, South China Normal University, Guangzhou, 510006 China

Guangdong Provincial Key Laboratory of Nanophotonic Functional Materials and Devices, South China Normal University, Guangzhou, 510631 China

E-mail: [email protected]

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First published: 16 April 2024

Abstract

In this paper, the introduction of a novel type of electron beams known as electron odd-Pearcey Gaussian beams (EOPGBs) is presented. For the first time, the dynamics of EOPGBs are explored propagating in both free space and a constant magnetic field by employing the Schrödinger equation. The investigation reveals that the electron beams exhibit remarkable auto-focusing characteristics in these two media, and the focal length can be controlled by adjusting certain parameters. Additionally, in a constant magnetic field, EOPGBs exhibit intriguing properties, notably the dual auto-focusing property, which sets them apart from other known electron beams. The probability currents and distribution factors are used to provide a theoretical explanation for the aforementioned features of EOPGBs. Furthermore, the conclusions are consistent with the results obtained from numerical simulations.

Conflict of Interest

The authors declare no conflict of interest.

Data Availability Statement

The data that support the findings of this study are available on request from the corresponding author. The data are not publicly available due to privacy or ethical restrictions.

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