Spin Hall Effect of Double-Index Cylindrical Vector Beams in a Tight Focus

We investigate the spin angular momentum (SAM) of double-index cylindrical vector beams in tight focus. Such a set of beams is a generalization of the conventional cylindrical vector beams since the polarization order is different for the different transverse field components. Based on the Richards-...
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Autor*in:	Alexey A. Kovalev [verfasserIn] Victor V. Kotlyar [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2023

Schlagwörter:	cylindrical vector beam double-index cylindrical vector beam tight focus Richards-Wolf theory spin angular momentum optical spin Hall effect

Übergeordnetes Werk:	In: Micromachines - MDPI AG, 2010, 14(2023), 2, p 494
Übergeordnetes Werk:	volume:14 ; year:2023 ; number:2, p 494

Links:	Link aufrufen Link aufrufen Link aufrufen Journal toc

DOI / URN:	10.3390/mi14020494

Katalog-ID:	DOAJ080022685

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520			\|a We investigate the spin angular momentum (SAM) of double-index cylindrical vector beams in tight focus. Such a set of beams is a generalization of the conventional cylindrical vector beams since the polarization order is different for the different transverse field components. Based on the Richards-Wolf theory, we obtain an expression for the SAM distribution and show that if the polarization orders are of different parity, then the spin Hall effect occurs in the tight focus, which is there are alternating areas with positive and negative spin angular momentum, despite linear polarization of the initial field. We also analyze the orbital angular momentum spectrum of all the components of the focused light field and determine the overwhelming angular harmonics. Neglecting the weak harmonics, we predict the SAM distribution and demonstrate the ability to generate the focal distribution where the areas with the positive and negative spin angular momentum reside on a ring and are alternating in pairs, or separated in different semicircles. Application areas of the obtained results are designing micromachines with optically driven elements.
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allfields	10.3390/mi14020494 doi (DE-627)DOAJ080022685 (DE-599)DOAJaa4bbc53031847b28d16b2bb59355b56 DE-627 ger DE-627 rakwb eng TJ1-1570 Alexey A. Kovalev verfasserin aut Spin Hall Effect of Double-Index Cylindrical Vector Beams in a Tight Focus 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier We investigate the spin angular momentum (SAM) of double-index cylindrical vector beams in tight focus. Such a set of beams is a generalization of the conventional cylindrical vector beams since the polarization order is different for the different transverse field components. Based on the Richards-Wolf theory, we obtain an expression for the SAM distribution and show that if the polarization orders are of different parity, then the spin Hall effect occurs in the tight focus, which is there are alternating areas with positive and negative spin angular momentum, despite linear polarization of the initial field. We also analyze the orbital angular momentum spectrum of all the components of the focused light field and determine the overwhelming angular harmonics. Neglecting the weak harmonics, we predict the SAM distribution and demonstrate the ability to generate the focal distribution where the areas with the positive and negative spin angular momentum reside on a ring and are alternating in pairs, or separated in different semicircles. Application areas of the obtained results are designing micromachines with optically driven elements. cylindrical vector beam double-index cylindrical vector beam tight focus Richards-Wolf theory spin angular momentum optical spin Hall effect Mechanical engineering and machinery Victor V. Kotlyar verfasserin aut In Micromachines MDPI AG, 2010 14(2023), 2, p 494 (DE-627)665016069 (DE-600)2620864-7 2072666X nnns volume:14 year:2023 number:2, p 494 https://doi.org/10.3390/mi14020494 kostenfrei https://doaj.org/article/aa4bbc53031847b28d16b2bb59355b56 kostenfrei https://www.mdpi.com/2072-666X/14/2/494 kostenfrei https://doaj.org/toc/2072-666X Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 14 2023 2, p 494
spelling	10.3390/mi14020494 doi (DE-627)DOAJ080022685 (DE-599)DOAJaa4bbc53031847b28d16b2bb59355b56 DE-627 ger DE-627 rakwb eng TJ1-1570 Alexey A. Kovalev verfasserin aut Spin Hall Effect of Double-Index Cylindrical Vector Beams in a Tight Focus 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier We investigate the spin angular momentum (SAM) of double-index cylindrical vector beams in tight focus. Such a set of beams is a generalization of the conventional cylindrical vector beams since the polarization order is different for the different transverse field components. Based on the Richards-Wolf theory, we obtain an expression for the SAM distribution and show that if the polarization orders are of different parity, then the spin Hall effect occurs in the tight focus, which is there are alternating areas with positive and negative spin angular momentum, despite linear polarization of the initial field. We also analyze the orbital angular momentum spectrum of all the components of the focused light field and determine the overwhelming angular harmonics. Neglecting the weak harmonics, we predict the SAM distribution and demonstrate the ability to generate the focal distribution where the areas with the positive and negative spin angular momentum reside on a ring and are alternating in pairs, or separated in different semicircles. Application areas of the obtained results are designing micromachines with optically driven elements. cylindrical vector beam double-index cylindrical vector beam tight focus Richards-Wolf theory spin angular momentum optical spin Hall effect Mechanical engineering and machinery Victor V. Kotlyar verfasserin aut In Micromachines MDPI AG, 2010 14(2023), 2, p 494 (DE-627)665016069 (DE-600)2620864-7 2072666X nnns volume:14 year:2023 number:2, p 494 https://doi.org/10.3390/mi14020494 kostenfrei https://doaj.org/article/aa4bbc53031847b28d16b2bb59355b56 kostenfrei https://www.mdpi.com/2072-666X/14/2/494 kostenfrei https://doaj.org/toc/2072-666X Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 14 2023 2, p 494
allfields_unstemmed	10.3390/mi14020494 doi (DE-627)DOAJ080022685 (DE-599)DOAJaa4bbc53031847b28d16b2bb59355b56 DE-627 ger DE-627 rakwb eng TJ1-1570 Alexey A. Kovalev verfasserin aut Spin Hall Effect of Double-Index Cylindrical Vector Beams in a Tight Focus 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier We investigate the spin angular momentum (SAM) of double-index cylindrical vector beams in tight focus. Such a set of beams is a generalization of the conventional cylindrical vector beams since the polarization order is different for the different transverse field components. Based on the Richards-Wolf theory, we obtain an expression for the SAM distribution and show that if the polarization orders are of different parity, then the spin Hall effect occurs in the tight focus, which is there are alternating areas with positive and negative spin angular momentum, despite linear polarization of the initial field. We also analyze the orbital angular momentum spectrum of all the components of the focused light field and determine the overwhelming angular harmonics. Neglecting the weak harmonics, we predict the SAM distribution and demonstrate the ability to generate the focal distribution where the areas with the positive and negative spin angular momentum reside on a ring and are alternating in pairs, or separated in different semicircles. Application areas of the obtained results are designing micromachines with optically driven elements. cylindrical vector beam double-index cylindrical vector beam tight focus Richards-Wolf theory spin angular momentum optical spin Hall effect Mechanical engineering and machinery Victor V. Kotlyar verfasserin aut In Micromachines MDPI AG, 2010 14(2023), 2, p 494 (DE-627)665016069 (DE-600)2620864-7 2072666X nnns volume:14 year:2023 number:2, p 494 https://doi.org/10.3390/mi14020494 kostenfrei https://doaj.org/article/aa4bbc53031847b28d16b2bb59355b56 kostenfrei https://www.mdpi.com/2072-666X/14/2/494 kostenfrei https://doaj.org/toc/2072-666X Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 14 2023 2, p 494
allfieldsGer	10.3390/mi14020494 doi (DE-627)DOAJ080022685 (DE-599)DOAJaa4bbc53031847b28d16b2bb59355b56 DE-627 ger DE-627 rakwb eng TJ1-1570 Alexey A. Kovalev verfasserin aut Spin Hall Effect of Double-Index Cylindrical Vector Beams in a Tight Focus 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier We investigate the spin angular momentum (SAM) of double-index cylindrical vector beams in tight focus. Such a set of beams is a generalization of the conventional cylindrical vector beams since the polarization order is different for the different transverse field components. Based on the Richards-Wolf theory, we obtain an expression for the SAM distribution and show that if the polarization orders are of different parity, then the spin Hall effect occurs in the tight focus, which is there are alternating areas with positive and negative spin angular momentum, despite linear polarization of the initial field. We also analyze the orbital angular momentum spectrum of all the components of the focused light field and determine the overwhelming angular harmonics. Neglecting the weak harmonics, we predict the SAM distribution and demonstrate the ability to generate the focal distribution where the areas with the positive and negative spin angular momentum reside on a ring and are alternating in pairs, or separated in different semicircles. Application areas of the obtained results are designing micromachines with optically driven elements. cylindrical vector beam double-index cylindrical vector beam tight focus Richards-Wolf theory spin angular momentum optical spin Hall effect Mechanical engineering and machinery Victor V. Kotlyar verfasserin aut In Micromachines MDPI AG, 2010 14(2023), 2, p 494 (DE-627)665016069 (DE-600)2620864-7 2072666X nnns volume:14 year:2023 number:2, p 494 https://doi.org/10.3390/mi14020494 kostenfrei https://doaj.org/article/aa4bbc53031847b28d16b2bb59355b56 kostenfrei https://www.mdpi.com/2072-666X/14/2/494 kostenfrei https://doaj.org/toc/2072-666X Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 14 2023 2, p 494
allfieldsSound	10.3390/mi14020494 doi (DE-627)DOAJ080022685 (DE-599)DOAJaa4bbc53031847b28d16b2bb59355b56 DE-627 ger DE-627 rakwb eng TJ1-1570 Alexey A. Kovalev verfasserin aut Spin Hall Effect of Double-Index Cylindrical Vector Beams in a Tight Focus 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier We investigate the spin angular momentum (SAM) of double-index cylindrical vector beams in tight focus. Such a set of beams is a generalization of the conventional cylindrical vector beams since the polarization order is different for the different transverse field components. Based on the Richards-Wolf theory, we obtain an expression for the SAM distribution and show that if the polarization orders are of different parity, then the spin Hall effect occurs in the tight focus, which is there are alternating areas with positive and negative spin angular momentum, despite linear polarization of the initial field. We also analyze the orbital angular momentum spectrum of all the components of the focused light field and determine the overwhelming angular harmonics. Neglecting the weak harmonics, we predict the SAM distribution and demonstrate the ability to generate the focal distribution where the areas with the positive and negative spin angular momentum reside on a ring and are alternating in pairs, or separated in different semicircles. Application areas of the obtained results are designing micromachines with optically driven elements. cylindrical vector beam double-index cylindrical vector beam tight focus Richards-Wolf theory spin angular momentum optical spin Hall effect Mechanical engineering and machinery Victor V. Kotlyar verfasserin aut In Micromachines MDPI AG, 2010 14(2023), 2, p 494 (DE-627)665016069 (DE-600)2620864-7 2072666X nnns volume:14 year:2023 number:2, p 494 https://doi.org/10.3390/mi14020494 kostenfrei https://doaj.org/article/aa4bbc53031847b28d16b2bb59355b56 kostenfrei https://www.mdpi.com/2072-666X/14/2/494 kostenfrei https://doaj.org/toc/2072-666X Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 14 2023 2, p 494
language	English
source	In Micromachines 14(2023), 2, p 494 volume:14 year:2023 number:2, p 494
sourceStr	In Micromachines 14(2023), 2, p 494 volume:14 year:2023 number:2, p 494
format_phy_str_mv	Article
institution	findex.gbv.de
topic_facet	cylindrical vector beam double-index cylindrical vector beam tight focus Richards-Wolf theory spin angular momentum optical spin Hall effect Mechanical engineering and machinery
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authorswithroles_txt_mv	Alexey A. Kovalev @@aut@@ Victor V. Kotlyar @@aut@@
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callnumber-first	T - Technology
author	Alexey A. Kovalev
spellingShingle	Alexey A. Kovalev misc TJ1-1570 misc cylindrical vector beam misc double-index cylindrical vector beam misc tight focus misc Richards-Wolf theory misc spin angular momentum misc optical spin Hall effect misc Mechanical engineering and machinery Spin Hall Effect of Double-Index Cylindrical Vector Beams in a Tight Focus
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topic_title	TJ1-1570 Spin Hall Effect of Double-Index Cylindrical Vector Beams in a Tight Focus cylindrical vector beam double-index cylindrical vector beam tight focus Richards-Wolf theory spin angular momentum optical spin Hall effect
topic	misc TJ1-1570 misc cylindrical vector beam misc double-index cylindrical vector beam misc tight focus misc Richards-Wolf theory misc spin angular momentum misc optical spin Hall effect misc Mechanical engineering and machinery
topic_unstemmed	misc TJ1-1570 misc cylindrical vector beam misc double-index cylindrical vector beam misc tight focus misc Richards-Wolf theory misc spin angular momentum misc optical spin Hall effect misc Mechanical engineering and machinery
topic_browse	misc TJ1-1570 misc cylindrical vector beam misc double-index cylindrical vector beam misc tight focus misc Richards-Wolf theory misc spin angular momentum misc optical spin Hall effect misc Mechanical engineering and machinery
format_facet	Elektronische Aufsätze Aufsätze Elektronische Ressource
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title	Spin Hall Effect of Double-Index Cylindrical Vector Beams in a Tight Focus
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title_full	Spin Hall Effect of Double-Index Cylindrical Vector Beams in a Tight Focus
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title_sort	spin hall effect of double-index cylindrical vector beams in a tight focus
callnumber	TJ1-1570
title_auth	Spin Hall Effect of Double-Index Cylindrical Vector Beams in a Tight Focus
abstract	We investigate the spin angular momentum (SAM) of double-index cylindrical vector beams in tight focus. Such a set of beams is a generalization of the conventional cylindrical vector beams since the polarization order is different for the different transverse field components. Based on the Richards-Wolf theory, we obtain an expression for the SAM distribution and show that if the polarization orders are of different parity, then the spin Hall effect occurs in the tight focus, which is there are alternating areas with positive and negative spin angular momentum, despite linear polarization of the initial field. We also analyze the orbital angular momentum spectrum of all the components of the focused light field and determine the overwhelming angular harmonics. Neglecting the weak harmonics, we predict the SAM distribution and demonstrate the ability to generate the focal distribution where the areas with the positive and negative spin angular momentum reside on a ring and are alternating in pairs, or separated in different semicircles. Application areas of the obtained results are designing micromachines with optically driven elements.
abstractGer	We investigate the spin angular momentum (SAM) of double-index cylindrical vector beams in tight focus. Such a set of beams is a generalization of the conventional cylindrical vector beams since the polarization order is different for the different transverse field components. Based on the Richards-Wolf theory, we obtain an expression for the SAM distribution and show that if the polarization orders are of different parity, then the spin Hall effect occurs in the tight focus, which is there are alternating areas with positive and negative spin angular momentum, despite linear polarization of the initial field. We also analyze the orbital angular momentum spectrum of all the components of the focused light field and determine the overwhelming angular harmonics. Neglecting the weak harmonics, we predict the SAM distribution and demonstrate the ability to generate the focal distribution where the areas with the positive and negative spin angular momentum reside on a ring and are alternating in pairs, or separated in different semicircles. Application areas of the obtained results are designing micromachines with optically driven elements.
abstract_unstemmed	We investigate the spin angular momentum (SAM) of double-index cylindrical vector beams in tight focus. Such a set of beams is a generalization of the conventional cylindrical vector beams since the polarization order is different for the different transverse field components. Based on the Richards-Wolf theory, we obtain an expression for the SAM distribution and show that if the polarization orders are of different parity, then the spin Hall effect occurs in the tight focus, which is there are alternating areas with positive and negative spin angular momentum, despite linear polarization of the initial field. We also analyze the orbital angular momentum spectrum of all the components of the focused light field and determine the overwhelming angular harmonics. Neglecting the weak harmonics, we predict the SAM distribution and demonstrate the ability to generate the focal distribution where the areas with the positive and negative spin angular momentum reside on a ring and are alternating in pairs, or separated in different semicircles. Application areas of the obtained results are designing micromachines with optically driven elements.
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container_issue	2, p 494
title_short	Spin Hall Effect of Double-Index Cylindrical Vector Beams in a Tight Focus
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