Free-electron-driven vortex Smith-Purcell radiation with higher-order topological charge

Zi-Wen Zhang; Chao-Hai Du; Zi-Chao Gao; Fan-Hong Li; Juan-Feng Zhu; Liang Zhang; Adrian W. Cross; Pu-Kun Liu

doi:10.1109/piers55526.2022.9792887

Free-electron-driven vortex Smith-Purcell radiation with higher-order topological charge

Zi-Wen Zhang, Chao-Hai Du, Zi-Chao Gao, Fan-Hong Li, Juan-Feng Zhu, Liang Zhang, Adrian W. Cross, Pu-Kun Liu

Physics

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution book

Abstract

A free-electron-based vortex Smith-Purcell radiation with the higher-order topological charge is proposed in this paper based on uniform helical grating. Due to the spiral constraint of azimuth, the evanescent field of the electron beam will be diffracted and possess the orbital angular momentum. When the wave vectors of the diffraction wave match those of the free space, the vortex beam will be generated with different topological charges. Moreover, the higher-order topological charge can be affirmatively generated by utilizing the higher spatial harmonics according to Bloch's theorem of the helical periodic system. Moreover, the vortex beam with mixed orbital angular momentum can also be achieved. Furthermore, and the mode purities of these vortex beams are analyzed. The proposed scheme may facilitate the journey of the vortex beam from optical into terahertz band.

Original language	English
Title of host publication	2022 Photonics & Electromagnetics Research Symposium (PIERS)
Place of Publication	Piscataway, NJ
Publisher	IEEE
Pages	725-728
Number of pages	4
ISBN (Electronic)	9781665460231
DOIs	https://doi.org/10.1109/piers55526.2022.9792887
Publication status	Published - 16 Jun 2022

Keywords

angular momentum
diffraction gratings
electron beams
vortices
surface plasmon polaritons

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10.1109/piers55526.2022.9792887

Zhang-etal-PIERS2022-Free-electron-driven-vortex-Smith-Purcell-radiationAccepted author manuscript, 1.24 MBLicence: Strath_1

Cite this

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title = "Free-electron-driven vortex Smith-Purcell radiation with higher-order topological charge",

abstract = "A free-electron-based vortex Smith-Purcell radiation with the higher-order topological charge is proposed in this paper based on uniform helical grating. Due to the spiral constraint of azimuth, the evanescent field of the electron beam will be diffracted and possess the orbital angular momentum. When the wave vectors of the diffraction wave match those of the free space, the vortex beam will be generated with different topological charges. Moreover, the higher-order topological charge can be affirmatively generated by utilizing the higher spatial harmonics according to Bloch's theorem of the helical periodic system. Moreover, the vortex beam with mixed orbital angular momentum can also be achieved. Furthermore, and the mode purities of these vortex beams are analyzed. The proposed scheme may facilitate the journey of the vortex beam from optical into terahertz band.",

keywords = "angular momentum, diffraction gratings, electron beams, vortices, surface plasmon polaritons",

author = "Zi-Wen Zhang and Chao-Hai Du and Zi-Chao Gao and Fan-Hong Li and Juan-Feng Zhu and Liang Zhang and Cross, {Adrian W.} and Pu-Kun Liu",

year = "2022",

month = jun,

day = "16",

doi = "10.1109/piers55526.2022.9792887",

language = "English",

pages = "725--728",

booktitle = "2022 Photonics & Electromagnetics Research Symposium (PIERS)",

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T1 - Free-electron-driven vortex Smith-Purcell radiation with higher-order topological charge

AU - Zhang, Zi-Wen

AU - Du, Chao-Hai

AU - Gao, Zi-Chao

AU - Li, Fan-Hong

AU - Zhu, Juan-Feng

AU - Zhang, Liang

AU - Cross, Adrian W.

AU - Liu, Pu-Kun

PY - 2022/6/16

Y1 - 2022/6/16

N2 - A free-electron-based vortex Smith-Purcell radiation with the higher-order topological charge is proposed in this paper based on uniform helical grating. Due to the spiral constraint of azimuth, the evanescent field of the electron beam will be diffracted and possess the orbital angular momentum. When the wave vectors of the diffraction wave match those of the free space, the vortex beam will be generated with different topological charges. Moreover, the higher-order topological charge can be affirmatively generated by utilizing the higher spatial harmonics according to Bloch's theorem of the helical periodic system. Moreover, the vortex beam with mixed orbital angular momentum can also be achieved. Furthermore, and the mode purities of these vortex beams are analyzed. The proposed scheme may facilitate the journey of the vortex beam from optical into terahertz band.

AB - A free-electron-based vortex Smith-Purcell radiation with the higher-order topological charge is proposed in this paper based on uniform helical grating. Due to the spiral constraint of azimuth, the evanescent field of the electron beam will be diffracted and possess the orbital angular momentum. When the wave vectors of the diffraction wave match those of the free space, the vortex beam will be generated with different topological charges. Moreover, the higher-order topological charge can be affirmatively generated by utilizing the higher spatial harmonics according to Bloch's theorem of the helical periodic system. Moreover, the vortex beam with mixed orbital angular momentum can also be achieved. Furthermore, and the mode purities of these vortex beams are analyzed. The proposed scheme may facilitate the journey of the vortex beam from optical into terahertz band.

KW - angular momentum

KW - diffraction gratings

KW - electron beams

KW - vortices

KW - surface plasmon polaritons

U2 - 10.1109/piers55526.2022.9792887

DO - 10.1109/piers55526.2022.9792887

M3 - Conference contribution book

SP - 725

EP - 728

BT - 2022 Photonics & Electromagnetics Research Symposium (PIERS)

PB - IEEE

CY - Piscataway, NJ

ER -

Free-electron-driven vortex Smith-Purcell radiation with higher-order topological charge

Abstract

Keywords

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