{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,30]],"date-time":"2026-07-30T09:54:12Z","timestamp":1785405252393,"version":"3.56.0"},"reference-count":36,"publisher":"Optica Publishing Group","issue":"11","license":[{"start":{"date-parts":[[2024,10,29]],"date-time":"2024-10-29T00:00:00Z","timestamp":1730160000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/doi.org\/10.1364\/OA_License_v2#VOR"},{"start":{"date-parts":[[2024,10,29]],"date-time":"2024-10-29T00:00:00Z","timestamp":1730160000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/opg.optica.org\/policies\/opg-tdm-policy.json"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["62305238"],"award-info":[{"award-number":["62305238"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["12104332"],"award-info":[{"award-number":["12104332"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Fundamental Research Program of Shanxi Province","award":["202103021223271"],"award-info":[{"award-number":["202103021223271"]}]},{"name":"Fundamental Research Program of Shanxi Province","award":["202203021211192"],"award-info":[{"award-number":["202203021211192"]}]}],"content-domain":{"domain":["opg.optica.org"],"crossmark-restriction":false},"short-container-title":["J. Opt. Soc. Am. A"],"published-print":{"date-parts":[[2024,11,1]]},"abstract":"<jats:p>\n                    The angular momentum (AM) properties of circularly polarized vortex beams (CPVBs) in two paraxial optical systems [free space and a gradient-index (GRIN) fiber] are demonstrated. The transverse light intensity, the longitudinal light intensity, the phase of the longitudinal electric field, the kinetic momentum, the total spin AM (SAM), the transverse-type SAM (\n                    <jats:italic>t<\/jats:italic>\n                    -SAM), the longitudinal-type SAM (\n                    <jats:italic>l<\/jats:italic>\n                    -SAM), and the orbital angular momentum (OAM) of CPVBs in the two paraxial optical systems are characterized. Spin-orbit coupling of CPVBs is studied during propagation in free space and in a GRIN fiber. When the OAM and the SAM of a CPVB have the same direction of rotation and when they have opposite directions of rotation, the spin-orbit coupling exhibits different characteristics in free space and in the GRIN fiber.\n                  <\/jats:p>","DOI":"10.1364\/josaa.541429","type":"journal-article","created":{"date-parts":[[2024,10,11]],"date-time":"2024-10-11T10:00:10Z","timestamp":1728640810000},"page":"2231","update-policy":"https:\/\/doi.org\/10.1364\/crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Angular momentum properties of a circularly polarized vortex beam in the paraxial optical systems"],"prefix":"10.1364","volume":"41","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-8293-7133","authenticated-orcid":true,"given":"Xiaojin","family":"Yin","sequence":"first","affiliation":[{"id":[{"id":"https:\/\/ror.org\/01wcbdc92","id-type":"ROR","asserted-by":"publisher"}]}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Yu","family":"Li","sequence":"additional","affiliation":[{"id":[{"id":"https:\/\/ror.org\/01wcbdc92","id-type":"ROR","asserted-by":"publisher"}]}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Guoliang","family":"Jin","sequence":"additional","affiliation":[{"name":"City University of Hong Kong"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Jing","family":"Wang","sequence":"additional","affiliation":[{"id":[{"id":"https:\/\/ror.org\/01wcbdc92","id-type":"ROR","asserted-by":"publisher"}]}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Jinhong","family":"Liu","sequence":"additional","affiliation":[{"name":"Taiyuan Institute of Technology"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-9242-4414","authenticated-orcid":true,"given":"Jinhong","family":"Li","sequence":"additional","affiliation":[{"id":[{"id":"https:\/\/ror.org\/01wcbdc92","id-type":"ROR","asserted-by":"publisher"}]}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"285","published-online":{"date-parts":[[2024,10,29]]},"reference":[{"key":"josaa-41-11-2231-R1","doi-asserted-by":"publisher","first-page":"8185","DOI":"10.1103\/PhysRevA.45.8185","volume":"45","author":"Allen","year":"1992","journal-title":"Phys. Rev. A"},{"key":"josaa-41-11-2231-R2","doi-asserted-by":"publisher","first-page":"291","DOI":"10.1016\/S0079-6638(08)70391-3","volume":"39","author":"Allen","year":"1999","journal-title":"Prog. Opt."},{"key":"josaa-41-11-2231-R3","doi-asserted-by":"publisher","first-page":"40","DOI":"10.1117\/1.AP.3.1.015001","volume":"3","author":"Fang","year":"2021","journal-title":"Adv. Photon."},{"key":"josaa-41-11-2231-R4","doi-asserted-by":"publisher","first-page":"053001","DOI":"10.1088\/2040-8978\/13\/5\/053001","volume":"13","author":"Bekshaev","year":"2011","journal-title":"J. Opt."},{"key":"josaa-41-11-2231-R5","doi-asserted-by":"publisher","first-page":"90","DOI":"10.1038\/s41377-019-0194-2","volume":"8","author":"Shen","year":"2019","journal-title":"Light Sci. Appl."},{"key":"josaa-41-11-2231-R6","doi-asserted-by":"publisher","first-page":"748","DOI":"10.1038\/nphoton.2008.229","volume":"2","author":"Bliokh","year":"2008","journal-title":"Nat. Photonics"},{"key":"josaa-41-11-2231-R7","doi-asserted-by":"publisher","first-page":"094009","DOI":"10.1088\/1464-4258\/11\/9\/094009","volume":"11","author":"Bliokh","year":"2009","journal-title":"J. Opt. A"},{"key":"josaa-41-11-2231-R8","doi-asserted-by":"publisher","first-page":"4680","DOI":"10.1364\/AO.46.004680","volume":"46","author":"Lin","year":"2007","journal-title":"Appl. Opt."},{"key":"josaa-41-11-2231-R9","doi-asserted-by":"publisher","first-page":"488","DOI":"10.1038\/nphoton.2012.138","volume":"6","author":"Wang","year":"2012","journal-title":"Nat. Photonics"},{"key":"josaa-41-11-2231-R10","doi-asserted-by":"publisher","first-page":"e257","DOI":"10.1038\/lsa.2015.30","volume":"4","author":"Lei","year":"2015","journal-title":"Light Sci. Appl."},{"key":"josaa-41-11-2231-R11","doi-asserted-by":"publisher","first-page":"5448","DOI":"10.1364\/OPEX.12.005448","volume":"12","author":"Gibson","year":"2004","journal-title":"Opt. Express"},{"key":"josaa-41-11-2231-R12","doi-asserted-by":"publisher","first-page":"354","DOI":"10.1038\/nphoton.2013.94","volume":"7","author":"Richardson","year":"2013","journal-title":"Nat. Photonics"},{"key":"josaa-41-11-2231-R13","doi-asserted-by":"publisher","first-page":"93","DOI":"10.1016\/j.yofte.2016.09.005","volume":"35","author":"Labroille","year":"2017","journal-title":"Opt. Fiber Technol."},{"key":"josaa-41-11-2231-R14","doi-asserted-by":"publisher","first-page":"4","DOI":"10.1117\/1.AP.3.3.034001","volume":"3","author":"Yang","year":"2021","journal-title":"Adv. Photon."},{"key":"josaa-41-11-2231-R15","doi-asserted-by":"publisher","first-page":"106","DOI":"10.1364\/OL.405696","volume":"46","author":"Li","year":"2021","journal-title":"Opt. Lett."},{"key":"josaa-41-11-2231-R16","doi-asserted-by":"publisher","first-page":"1101","DOI":"10.1126\/science.aat9042","volume":"361","author":"Stav","year":"2018","journal-title":"Science"},{"key":"josaa-41-11-2231-R17","doi-asserted-by":"publisher","first-page":"327","DOI":"10.1038\/s41566-021-00793-z","volume":"15","author":"Solntsev","year":"2021","journal-title":"Nat. Photonics"},{"key":"josaa-41-11-2231-R18","doi-asserted-by":"publisher","first-page":"350","DOI":"10.1038\/s41566-020-0587-z","volume":"14","author":"Chong","year":"2020","journal-title":"Nat. Photonics"},{"key":"josaa-41-11-2231-R19","doi-asserted-by":"publisher","first-page":"036002","DOI":"10.1117\/1.AP.5.3.036002","volume":"5","author":"Cao","year":"2023","journal-title":"Adv. Photon."},{"key":"josaa-41-11-2231-R20","doi-asserted-by":"publisher","first-page":"3927","DOI":"10.1515\/nanoph-2021-0046","volume":"10","author":"Shi","year":"2021","journal-title":"Nanophotonics"},{"key":"josaa-41-11-2231-R21","doi-asserted-by":"publisher","first-page":"789","DOI":"10.1038\/nphoton.2015.203","volume":"9","author":"Aiello","year":"2015","journal-title":"Nat. Photonics"},{"key":"josaa-41-11-2231-R22","doi-asserted-by":"publisher","first-page":"3300","DOI":"10.1038\/ncomms4300","volume":"5","author":"Bliokh","year":"2014","journal-title":"Nat. Commun."},{"key":"josaa-41-11-2231-R23","doi-asserted-by":"publisher","first-page":"1448","DOI":"10.1126\/science.aaa9519","volume":"348","author":"Bliokh","year":"2015","journal-title":"Science"},{"key":"josaa-41-11-2231-R24","doi-asserted-by":"publisher","first-page":"963","DOI":"10.1364\/OL.43.000963","volume":"43","author":"Bliokh","year":"2018","journal-title":"Opt. Lett."},{"key":"josaa-41-11-2231-R25","doi-asserted-by":"publisher","first-page":"213904","DOI":"10.1103\/PhysRevLett.128.213904","volume":"128","author":"Shi","year":"2022","journal-title":"Phys. Rev. Lett."},{"key":"josaa-41-11-2231-R26","doi-asserted-by":"publisher","first-page":"011039","DOI":"10.1103\/PhysRevX.5.011039","volume":"5","author":"Bekshaev","year":"2015","journal-title":"Phys. Rev. X."},{"key":"josaa-41-11-2231-R27","doi-asserted-by":"publisher","first-page":"085605","DOI":"10.1088\/2040-8978\/18\/8\/085605","volume":"18","author":"Aiello","year":"2016","journal-title":"J. Opt."},{"key":"josaa-41-11-2231-R28","doi-asserted-by":"publisher","first-page":"2332","DOI":"10.1021\/acsphotonics.2c01535","volume":"10","author":"Shi","year":"2022","journal-title":"ACS Photon."},{"key":"josaa-41-11-2231-R29","doi-asserted-by":"publisher","first-page":"283","DOI":"10.1038\/s42005-023-01374-y","volume":"6","author":"Shi","year":"2023","journal-title":"Commun. Phys."},{"key":"josaa-41-11-2231-R30","doi-asserted-by":"publisher","first-page":"237403","DOI":"10.1103\/PhysRevLett.127.237403","volume":"127","author":"Lei","year":"2021","journal-title":"Phys. Rev. Lett."},{"key":"josaa-41-11-2231-R31","doi-asserted-by":"publisher","first-page":"63825","DOI":"10.1103\/PhysRevA.82.063825","volume":"82","author":"Bliokh","year":"2010","journal-title":"Phys. Rev. A"},{"key":"josaa-41-11-2231-R32","doi-asserted-by":"publisher","first-page":"26132","DOI":"10.1364\/OE.19.026132","volume":"19","author":"Bliokh","year":"2011","journal-title":"Opt. Express"},{"key":"josaa-41-11-2231-R33","doi-asserted-by":"publisher","first-page":"328","DOI":"10.1126\/science.1233739","volume":"340","author":"Rodr\u00edguez-Fortu\u00f1o","year":"2013","journal-title":"Science"},{"key":"josaa-41-11-2231-R34","doi-asserted-by":"publisher","first-page":"67","DOI":"10.1126\/science.1257671","volume":"346","author":"Petersen","year":"2014","journal-title":"Science"},{"key":"josaa-41-11-2231-R35","doi-asserted-by":"publisher","first-page":"021408","DOI":"10.1063\/5.0176591","volume":"11","author":"Lin","year":"2024","journal-title":"Appl. Phys. Rev."},{"key":"josaa-41-11-2231-R36","doi-asserted-by":"publisher","first-page":"1832","DOI":"10.1364\/OE.479009","volume":"31","author":"Yin","year":"2023","journal-title":"Opt. Express"}],"container-title":["Journal of the Optical Society of America A"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/opg.optica.org\/viewmedia.cfm?URI=josaa-41-11-2231&seq=0","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,10,29]],"date-time":"2024-10-29T17:29:04Z","timestamp":1730222944000},"score":1,"resource":{"primary":{"URL":"https:\/\/opg.optica.org\/abstract.cfm?URI=josaa-41-11-2231"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,10,29]]},"references-count":36,"journal-issue":{"issue":"11","published-online":{"date-parts":[[2024]]},"published-print":{"date-parts":[[2024]]}},"URL":"https:\/\/doi.org\/10.1364\/josaa.541429","relation":{},"ISSN":["1084-7529","1520-8532"],"issn-type":[{"value":"1084-7529","type":"print"},{"value":"1520-8532","type":"electronic"}],"subject":[],"published":{"date-parts":[[2024,10,29]]},"assertion":[{"value":"Optica Publishing Group","name":"publisher","label":"This article is maintained by"},{"value":"https:\/\/doi.org\/10.1364\/JOSAA.541429","name":"articlelink","label":"Crossref DOI link to publisher maintained version"},{"value":"research-article","name":"content_type","label":"Article type"},{"value":"Screened by Similarity Check","name":"cross_check","label":"Similarity check"},{"value":"Yes","order":0,"name":"peer_reviewed","label":"Peer reviewed","group":{"name":"peer_review","label":"Peer review"}},{"value":"Single blind","order":1,"name":"review_process","label":"Review process","group":{"name":"peer_review","label":"Peer review"}},{"value":"5 September 2024","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"11 October 2024","order":1,"name":"accepted","label":"Accepted","group":{"name":"publication_history","label":"Publication History"}},{"value":"29 October 2024","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}},{"value":"\u00a9 2024 Optica Publishing Group. All rights, including for text and data mining (TDM), Artificial Intelligence (AI) training, and similar technologies, are reserved.","name":"copyright","label":"Copyright"}]}}