Focusing a cylindrical vector beam and the Hall effect
Polarization of a higher-order cylindrical vector beam (CVB) is known to be locally linear. The higher the beam order, the larger number of full circles the local linear polarization vector makes around the optical axis. It is also known that the CVB with radially symmetric amplitude has zero spin a...
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| Format: | Article |
| Language: | English |
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Samara National Research University
2024-02-01
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| Series: | Компьютерная оптика |
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| Online Access: | https://www.computeroptics.ru/eng/KO/Annot/KO48-1/480105e.html |
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| author | V.V. Kotlyar S.S. Stafeev A.A. Kovalev V.D. Zaitsev |
| author_facet | V.V. Kotlyar S.S. Stafeev A.A. Kovalev V.D. Zaitsev |
| author_sort | V.V. Kotlyar |
| collection | DOAJ |
| description | Polarization of a higher-order cylindrical vector beam (CVB) is known to be locally linear. The higher the beam order, the larger number of full circles the local linear polarization vector makes around the optical axis. It is also known that the CVB with radially symmetric amplitude has zero spin angular momentum (SAM) and zero orbital angular momentum (OAM) both in the initial plane and in the focal plane (because in both Cartesian components of the vector field, the angular derivative of phase is zero). We show here that near the focal plane of the CVB (i.e. before and beyond the focus), an even number of local subwavelength areas with rotating polarization vectors are generated. In addition, in the neighboring areas, the polarization vectors are rotating in the opposite directions. Thus, the longitudinal components of the SAM vector in such neighboring areas are of different sign. After passing through the focal plane, the rotation direction of the polarization vector at each point of the beam cross-section changes to the opposite one. Such a spatial separation of the left and right rotation of the polarization vectors is a manifestation of the optical spin Hall effect. |
| format | Article |
| id | doaj-art-4bdefc21566349a69c0c60a2f97d791c |
| institution | Kabale University |
| issn | 0134-2452 2412-6179 |
| language | English |
| publishDate | 2024-02-01 |
| publisher | Samara National Research University |
| record_format | Article |
| series | Компьютерная оптика |
| spelling | doaj-art-4bdefc21566349a69c0c60a2f97d791c2025-02-01T11:01:16ZengSamara National Research UniversityКомпьютерная оптика0134-24522412-61792024-02-01481475210.18287/2412-6179-CO-1356Focusing a cylindrical vector beam and the Hall effectV.V. Kotlyar0S.S. Stafeev 1A.A. Kovalev2V.D. Zaitsev3IPSI RAS – Branch of the FSRC "Crystallography and Photonics" RAS; Samara National Research UniversityIPSI RAS – Branch of the FSRC "Crystallography and Photonics" RAS; Samara National Research UniversityIPSI RAS – Branch of the FSRC "Crystallography and Photonics" RAS; Samara National Research UniversitySamara National Research University; IPSI RAS – Branch of the FSRC "Crystallography and Photonics" RASPolarization of a higher-order cylindrical vector beam (CVB) is known to be locally linear. The higher the beam order, the larger number of full circles the local linear polarization vector makes around the optical axis. It is also known that the CVB with radially symmetric amplitude has zero spin angular momentum (SAM) and zero orbital angular momentum (OAM) both in the initial plane and in the focal plane (because in both Cartesian components of the vector field, the angular derivative of phase is zero). We show here that near the focal plane of the CVB (i.e. before and beyond the focus), an even number of local subwavelength areas with rotating polarization vectors are generated. In addition, in the neighboring areas, the polarization vectors are rotating in the opposite directions. Thus, the longitudinal components of the SAM vector in such neighboring areas are of different sign. After passing through the focal plane, the rotation direction of the polarization vector at each point of the beam cross-section changes to the opposite one. Such a spatial separation of the left and right rotation of the polarization vectors is a manifestation of the optical spin Hall effect.https://www.computeroptics.ru/eng/KO/Annot/KO48-1/480105e.htmlspin hall effectcylindrical vector beamtight focusingspin angular momentumorbital angular momentum |
| spellingShingle | V.V. Kotlyar S.S. Stafeev A.A. Kovalev V.D. Zaitsev Focusing a cylindrical vector beam and the Hall effect Компьютерная оптика spin hall effect cylindrical vector beam tight focusing spin angular momentum orbital angular momentum |
| title | Focusing a cylindrical vector beam and the Hall effect |
| title_full | Focusing a cylindrical vector beam and the Hall effect |
| title_fullStr | Focusing a cylindrical vector beam and the Hall effect |
| title_full_unstemmed | Focusing a cylindrical vector beam and the Hall effect |
| title_short | Focusing a cylindrical vector beam and the Hall effect |
| title_sort | focusing a cylindrical vector beam and the hall effect |
| topic | spin hall effect cylindrical vector beam tight focusing spin angular momentum orbital angular momentum |
| url | https://www.computeroptics.ru/eng/KO/Annot/KO48-1/480105e.html |
| work_keys_str_mv | AT vvkotlyar focusingacylindricalvectorbeamandthehalleffect AT ssstafeev focusingacylindricalvectorbeamandthehalleffect AT aakovalev focusingacylindricalvectorbeamandthehalleffect AT vdzaitsev focusingacylindricalvectorbeamandthehalleffect |