Spin-Hall Effect of Cylindrical Vector Vortex Beams

Spin-Hall effect (SHE) of light is one of the main manifestations of the spin-orbit interaction of photons, and has been extensively studied for optical beams with homogeneous polarization. Here, we present a theoretical study of the SHE of cylindrical vector vortex beams (CVVBs) possessing inhomoge...

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Main Authors: Xuyao Zhang, Shuo Wang, Jinhong Liu, Jinze Wu, Jinhong Li
Format: Article
Language:English
Published: MDPI AG 2023-12-01
Series:Photonics
Subjects:
Online Access:https://www.mdpi.com/2304-6732/10/12/1356
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author Xuyao Zhang
Shuo Wang
Jinhong Liu
Jinze Wu
Jinhong Li
author_facet Xuyao Zhang
Shuo Wang
Jinhong Liu
Jinze Wu
Jinhong Li
author_sort Xuyao Zhang
collection DOAJ
description Spin-Hall effect (SHE) of light is one of the main manifestations of the spin-orbit interaction of photons, and has been extensively studied for optical beams with homogeneous polarization. Here, we present a theoretical study of the SHE of cylindrical vector vortex beams (CVVBs) possessing inhomogeneous polarization. We derive the analytical expressions of the SHE of CVVBs reflected and refracted at a dielectric interface with radial and azimuthal polarization of incidence. The spin-dependent shifts of the SHE of light linearly depend on the topological charge of the CVVBs. In contrast to the conventional SHE of horizontally or vertically polarized beams, the SHE shifts of the CVVBs are asymmetrical when the topological charge is nonzero. This asymmetry results in the transverse Imbert–Fedorov (IF) shifts that are proportional to the topological charge. Furthermore, based on weak measurement, we propose an experimental scheme to enhance the SHE and related IF shifts with proper pre- and post-selection polarization states. Our results advance the study of the SHE of structured light and may find applications in SHE-based techniques such as precision measurement.
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spelling doaj.art-badf762b5a7b4e699e4a0be34bcb45b22023-12-22T14:32:54ZengMDPI AGPhotonics2304-67322023-12-011012135610.3390/photonics10121356Spin-Hall Effect of Cylindrical Vector Vortex BeamsXuyao Zhang0Shuo Wang1Jinhong Liu2Jinze Wu3Jinhong Li4Shanxi Center of Technology Innovation for Light Manipulations and Applications, School of Applied Science, Taiyuan University of Science and Technology, Taiyuan 030024, ChinaShanxi Center of Technology Innovation for Light Manipulations and Applications, School of Applied Science, Taiyuan University of Science and Technology, Taiyuan 030024, ChinaDepartment of Science, Taiyuan Institute of Technology, Taiyuan 030008, ChinaShanxi Center of Technology Innovation for Light Manipulations and Applications, School of Applied Science, Taiyuan University of Science and Technology, Taiyuan 030024, ChinaShanxi Center of Technology Innovation for Light Manipulations and Applications, School of Applied Science, Taiyuan University of Science and Technology, Taiyuan 030024, ChinaSpin-Hall effect (SHE) of light is one of the main manifestations of the spin-orbit interaction of photons, and has been extensively studied for optical beams with homogeneous polarization. Here, we present a theoretical study of the SHE of cylindrical vector vortex beams (CVVBs) possessing inhomogeneous polarization. We derive the analytical expressions of the SHE of CVVBs reflected and refracted at a dielectric interface with radial and azimuthal polarization of incidence. The spin-dependent shifts of the SHE of light linearly depend on the topological charge of the CVVBs. In contrast to the conventional SHE of horizontally or vertically polarized beams, the SHE shifts of the CVVBs are asymmetrical when the topological charge is nonzero. This asymmetry results in the transverse Imbert–Fedorov (IF) shifts that are proportional to the topological charge. Furthermore, based on weak measurement, we propose an experimental scheme to enhance the SHE and related IF shifts with proper pre- and post-selection polarization states. Our results advance the study of the SHE of structured light and may find applications in SHE-based techniques such as precision measurement.https://www.mdpi.com/2304-6732/10/12/1356Spin-Hall effect of lightcylindrical vector vortex beamsImbert–Fedorov shiftweak measurement
spellingShingle Xuyao Zhang
Shuo Wang
Jinhong Liu
Jinze Wu
Jinhong Li
Spin-Hall Effect of Cylindrical Vector Vortex Beams
Photonics
Spin-Hall effect of light
cylindrical vector vortex beams
Imbert–Fedorov shift
weak measurement
title Spin-Hall Effect of Cylindrical Vector Vortex Beams
title_full Spin-Hall Effect of Cylindrical Vector Vortex Beams
title_fullStr Spin-Hall Effect of Cylindrical Vector Vortex Beams
title_full_unstemmed Spin-Hall Effect of Cylindrical Vector Vortex Beams
title_short Spin-Hall Effect of Cylindrical Vector Vortex Beams
title_sort spin hall effect of cylindrical vector vortex beams
topic Spin-Hall effect of light
cylindrical vector vortex beams
Imbert–Fedorov shift
weak measurement
url https://www.mdpi.com/2304-6732/10/12/1356
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AT shuowang spinhalleffectofcylindricalvectorvortexbeams
AT jinhongliu spinhalleffectofcylindricalvectorvortexbeams
AT jinzewu spinhalleffectofcylindricalvectorvortexbeams
AT jinhongli spinhalleffectofcylindricalvectorvortexbeams