Sharp focusing of on-axis superposition of a high-order cylindrical vector beam and a beam with linear polarization
In this work, the sharp focusing of a laser beam whose initial polarization pattern is formed by superposition of a cylindrical mth-order vector beam and a homogeneous linearly polarized beam is considered theoretically and numerically. Although in the source plane of such a beam both the angular sp...
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Format: | Article |
Language: | English |
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Samara National Research University
2023-02-01
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Series: | Компьютерная оптика |
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Online Access: | https://computeroptics.ru/eng/KO/Annot/KO47-1/470101e.html |
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author | V.V. Kotlyar S.S. Stafeev V.D. Zaitsev |
author_facet | V.V. Kotlyar S.S. Stafeev V.D. Zaitsev |
author_sort | V.V. Kotlyar |
collection | DOAJ |
description | In this work, the sharp focusing of a laser beam whose initial polarization pattern is formed by superposition of a cylindrical mth-order vector beam and a homogeneous linearly polarized beam is considered theoretically and numerically. Although in the source plane of such a beam both the angular spin momentum and the third Stokes parameter are equal to zero, we reveal that given odd m, subwavelength local regions are formed in the focal plane, where transverse vortex energy flows occur and the third Stokes parameter (the on-axis component of the angular spin momentum) is non-zero. Thus, at odd m, at the focus of such a beam there are – sub-regions with elliptical polarization of light with alternating handedness in the adjacent sub-regions (clockwise and counterclockwise). This phenomenon can be interpreted as a variant of an optical Hall effect. We note that at even m, the field at the focus is linearly polarized at every point and no transverse energy flow is observed. |
first_indexed | 2024-03-08T18:59:25Z |
format | Article |
id | doaj.art-ea7a4b9afcf64229a65cb0f20ea627ba |
institution | Directory Open Access Journal |
issn | 0134-2452 2412-6179 |
language | English |
last_indexed | 2024-03-08T18:59:25Z |
publishDate | 2023-02-01 |
publisher | Samara National Research University |
record_format | Article |
series | Компьютерная оптика |
spelling | doaj.art-ea7a4b9afcf64229a65cb0f20ea627ba2023-12-28T08:19:59ZengSamara National Research UniversityКомпьютерная оптика0134-24522412-61792023-02-0147151510.18287/2412-6179-CO-1165Sharp focusing of on-axis superposition of a high-order cylindrical vector beam and a beam with linear polarizationV.V. Kotlyar0S.S. Stafeev1V.D. Zaitsev2IPSI 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, the sharp focusing of a laser beam whose initial polarization pattern is formed by superposition of a cylindrical mth-order vector beam and a homogeneous linearly polarized beam is considered theoretically and numerically. Although in the source plane of such a beam both the angular spin momentum and the third Stokes parameter are equal to zero, we reveal that given odd m, subwavelength local regions are formed in the focal plane, where transverse vortex energy flows occur and the third Stokes parameter (the on-axis component of the angular spin momentum) is non-zero. Thus, at odd m, at the focus of such a beam there are – sub-regions with elliptical polarization of light with alternating handedness in the adjacent sub-regions (clockwise and counterclockwise). This phenomenon can be interpreted as a variant of an optical Hall effect. We note that at even m, the field at the focus is linearly polarized at every point and no transverse energy flow is observed.https://computeroptics.ru/eng/KO/Annot/KO47-1/470101e.htmllinear and circular polarizationsharp focusingrichards-wolf formulasstokes vectorspin angular momentum |
spellingShingle | V.V. Kotlyar S.S. Stafeev V.D. Zaitsev Sharp focusing of on-axis superposition of a high-order cylindrical vector beam and a beam with linear polarization Компьютерная оптика linear and circular polarization sharp focusing richards-wolf formulas stokes vector spin angular momentum |
title | Sharp focusing of on-axis superposition of a high-order cylindrical vector beam and a beam with linear polarization |
title_full | Sharp focusing of on-axis superposition of a high-order cylindrical vector beam and a beam with linear polarization |
title_fullStr | Sharp focusing of on-axis superposition of a high-order cylindrical vector beam and a beam with linear polarization |
title_full_unstemmed | Sharp focusing of on-axis superposition of a high-order cylindrical vector beam and a beam with linear polarization |
title_short | Sharp focusing of on-axis superposition of a high-order cylindrical vector beam and a beam with linear polarization |
title_sort | sharp focusing of on axis superposition of a high order cylindrical vector beam and a beam with linear polarization |
topic | linear and circular polarization sharp focusing richards-wolf formulas stokes vector spin angular momentum |
url | https://computeroptics.ru/eng/KO/Annot/KO47-1/470101e.html |
work_keys_str_mv | AT vvkotlyar sharpfocusingofonaxissuperpositionofahighordercylindricalvectorbeamandabeamwithlinearpolarization AT ssstafeev sharpfocusingofonaxissuperpositionofahighordercylindricalvectorbeamandabeamwithlinearpolarization AT vdzaitsev sharpfocusingofonaxissuperpositionofahighordercylindricalvectorbeamandabeamwithlinearpolarization |