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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Main Authors: V.V. Kotlyar, S.S. Stafeev, V.D. Zaitsev
Format: Article
Language:English
Published: Samara National Research University 2023-02-01
Series:Компьютерная оптика
Subjects:
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.
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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
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AT ssstafeev sharpfocusingofonaxissuperpositionofahighordercylindricalvectorbeamandabeamwithlinearpolarization
AT vdzaitsev sharpfocusingofonaxissuperpositionofahighordercylindricalvectorbeamandabeamwithlinearpolarization