High-order optical Hall effect at the tight focus of laser radiation
In this work, by the Richards-Wolf method, which describes the behavior of electromagnetic radiation at the tight focus, it is shown that high-order spin and orbital Hall effects take place in the focal plane. It is shown that when focusing a linearly polarized optical vortex with unit topological c...
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| Language: | English |
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Samara National Research University
2023-10-01
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| Series: | Компьютерная оптика |
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| Online Access: | https://www.computeroptics.ru/eng/KO/Annot/KO47-5/470504e.html |
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| author | V.V. Kotlyar S.S. Stafeev E.S. Kozlova |
| author_facet | V.V. Kotlyar S.S. Stafeev E.S. Kozlova |
| author_sort | V.V. Kotlyar |
| collection | DOAJ |
| description | In this work, by the Richards-Wolf method, which describes the behavior of electromagnetic radiation at the tight focus, it is shown that high-order spin and orbital Hall effects take place in the focal plane. It is shown that when focusing a linearly polarized optical vortex with unit topological charge, four local subwavelength regions are formed in the focal plane, in which directions of the longitudinal projection of the spin angular momentum are opposite in the neighboring regions. That is, photons falling into neighboring regions in the focus have the opposite spin. This is the spin Hall effect of the 2nd order. It is also shown that when tightly focusing of superposition of cylindrical vector beams of the m-th order and zero order, 2m subwavelength regions are formed in the plane of tight focus, in which directions of the longitudinal projection of the orbital angular momentum are opposite in the neighboring regions. That is, photons falling into the neighboring regions at the focus have the opposite-sign on-axis projections of the orbital angular momentum. This is the orbital Hall effect of the m-th order. |
| format | Article |
| id | doaj-art-a670436525a94cccb05f7f0b305c2a2a |
| institution | Kabale University |
| issn | 0134-2452 2412-6179 |
| language | English |
| publishDate | 2023-10-01 |
| publisher | Samara National Research University |
| record_format | Article |
| series | Компьютерная оптика |
| spelling | doaj-art-a670436525a94cccb05f7f0b305c2a2a2025-01-21T13:16:08ZengSamara National Research UniversityКомпьютерная оптика0134-24522412-61792023-10-0147571071510.18287/2412-6179-CO-1310High-order optical Hall effect at the tight focus of laser radiationV.V. Kotlyar0S.S. Stafeev1E.S. Kozlova2IPSI 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 UniversityIn this work, by the Richards-Wolf method, which describes the behavior of electromagnetic radiation at the tight focus, it is shown that high-order spin and orbital Hall effects take place in the focal plane. It is shown that when focusing a linearly polarized optical vortex with unit topological charge, four local subwavelength regions are formed in the focal plane, in which directions of the longitudinal projection of the spin angular momentum are opposite in the neighboring regions. That is, photons falling into neighboring regions in the focus have the opposite spin. This is the spin Hall effect of the 2nd order. It is also shown that when tightly focusing of superposition of cylindrical vector beams of the m-th order and zero order, 2m subwavelength regions are formed in the plane of tight focus, in which directions of the longitudinal projection of the orbital angular momentum are opposite in the neighboring regions. That is, photons falling into the neighboring regions at the focus have the opposite-sign on-axis projections of the orbital angular momentum. This is the orbital Hall effect of the m-th order.https://www.computeroptics.ru/eng/KO/Annot/KO47-5/470504e.htmlrichards-wolf formalismspin hall effectorbital hall effectcylindrical vector beamspin angular momentumorbital angular momentum |
| spellingShingle | V.V. Kotlyar S.S. Stafeev E.S. Kozlova High-order optical Hall effect at the tight focus of laser radiation Компьютерная оптика richards-wolf formalism spin hall effect orbital hall effect cylindrical vector beam spin angular momentum orbital angular momentum |
| title | High-order optical Hall effect at the tight focus of laser radiation |
| title_full | High-order optical Hall effect at the tight focus of laser radiation |
| title_fullStr | High-order optical Hall effect at the tight focus of laser radiation |
| title_full_unstemmed | High-order optical Hall effect at the tight focus of laser radiation |
| title_short | High-order optical Hall effect at the tight focus of laser radiation |
| title_sort | high order optical hall effect at the tight focus of laser radiation |
| topic | richards-wolf formalism spin hall effect orbital hall effect cylindrical vector beam spin angular momentum orbital angular momentum |
| url | https://www.computeroptics.ru/eng/KO/Annot/KO47-5/470504e.html |
| work_keys_str_mv | AT vvkotlyar highorderopticalhalleffectatthetightfocusoflaserradiation AT ssstafeev highorderopticalhalleffectatthetightfocusoflaserradiation AT eskozlova highorderopticalhalleffectatthetightfocusoflaserradiation |