{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,30]],"date-time":"2026-07-30T14:46:05Z","timestamp":1785422765252,"version":"3.56.0"},"reference-count":28,"publisher":"Optica Publishing Group","issue":"13","license":[{"start":{"date-parts":[[2026,6,29]],"date-time":"2026-06-29T00:00:00Z","timestamp":1782691200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/doi.org\/10.1364\/OA_License_v2#VOR"},{"start":{"date-parts":[[2026,6,29]],"date-time":"2026-06-29T00:00:00Z","timestamp":1782691200000},"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":"crossref","award":["12274148"],"award-info":[{"award-number":["12274148"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"crossref"},{"id":"https:\/\/ror.org\/01h0zpd94","id-type":"ROR","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"crossref","award":["12374347"],"award-info":[{"award-number":["12374347"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"crossref"},{"id":"https:\/\/ror.org\/01h0zpd94","id-type":"ROR","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"crossref","award":["12174123"],"award-info":[{"award-number":["12174123"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"crossref"},{"id":"https:\/\/ror.org\/01h0zpd94","id-type":"ROR","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100003453","name":"Natural Science Foundation of Guangdong Province","doi-asserted-by":"crossref","award":["2025A1515012259"],"award-info":[{"award-number":["2025A1515012259"]}],"id":[{"id":"10.13039\/501100003453","id-type":"DOI","asserted-by":"crossref"}]},{"name":"Special Projects in Key Fields of Ordinary Universities in Guangdong Province","award":["2023ZDZX1007"],"award-info":[{"award-number":["2023ZDZX1007"]}]}],"content-domain":{"domain":["opg.optica.org"],"crossmark-restriction":false},"short-container-title":["Opt. Lett."],"published-print":{"date-parts":[[2026,7,1]]},"abstract":"<jats:p>\n                    Unidirectional guided resonances (UGRs) enable static unidirectional radiation of eigenstates and have been widely studied. Exceptional points (EPs) in non-Hermitian open systems provide a unique perspective for exploring UGRs. However, existing studies mainly focus on the topological properties of UGRs, while how the region delimited by an EP affects the radiation behavior of UGRs remains unclear. Here, we investigate the radiation of EP-related UGRs in a notch-perturbed silicon nanograting. At notch parameters \u0394 = 0.3 and\n                    <jats:italic>\u03b4<\/jats:italic>\n                    = 0.045, the complex eigenfrequencies of two modes coalesce to form an EP. In the region delimited by the EP, where the imaginary parts remain nearly degenerate, a UGR with an asymmetric radiation ratio\n                    <jats:italic>\u03b7<\/jats:italic>\n                    of 41\u2009dB appears. The radiative losses of the modes remain close in this region, allowing\n                    <jats:italic>\u03b7<\/jats:italic>\n                    to remain high under structural perturbations of the grating and variations in the ambient refractive index\n                    <jats:italic>n<\/jats:italic>\n                    <jats:sub>2<\/jats:sub>\n                    . Further tuning of the notch parameters shows that changes in interband coupling drive the UGR to migrate on the same band toward the critical interband coupling state associated with the EP. These results indicate that the region delimited by the EP improves the geometrical tolerance of UGRs and provides a route to designing devices with robust unidirectional radiation.\n                  <\/jats:p>","DOI":"10.1364\/ol.605330","type":"journal-article","created":{"date-parts":[[2026,6,18]],"date-time":"2026-06-18T12:00:15Z","timestamp":1781784015000},"page":"3721","update-policy":"https:\/\/doi.org\/10.1364\/crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Exceptional point induced robust unidirectional guided resonance in perturbed silicon nanogratings"],"prefix":"10.1364","volume":"51","author":[{"given":"Jiayi","family":"Ding","sequence":"first","affiliation":[{"id":[{"id":"https:\/\/ror.org\/01kq0pv72","id-type":"ROR","asserted-by":"publisher"}]}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Yunbao","family":"Zheng","sequence":"additional","affiliation":[{"name":"Guangdong Polytechnic Normal University"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Ma","family":"Luo","sequence":"additional","affiliation":[{"name":"Guangdong Polytechnic Normal University"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Min","family":"Ouyang","sequence":"additional","affiliation":[{"id":[{"id":"https:\/\/ror.org\/01kq0pv72","id-type":"ROR","asserted-by":"publisher"}]}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Haihua","family":"Fan","sequence":"additional","affiliation":[{"id":[{"id":"https:\/\/ror.org\/01kq0pv72","id-type":"ROR","asserted-by":"publisher"}]}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3054-0238","authenticated-orcid":true,"given":"Qiaofeng","family":"Dai","sequence":"additional","affiliation":[{"id":[{"id":"https:\/\/ror.org\/01kq0pv72","id-type":"ROR","asserted-by":"publisher"}]}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-5280-1892","authenticated-orcid":true,"given":"Haiying","family":"Liu","sequence":"additional","affiliation":[{"id":[{"id":"https:\/\/ror.org\/01kq0pv72","id-type":"ROR","asserted-by":"publisher"}]}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0877-0689","authenticated-orcid":true,"given":"Lijun","family":"Wu","sequence":"additional","affiliation":[{"id":[{"id":"https:\/\/ror.org\/01kq0pv72","id-type":"ROR","asserted-by":"publisher"}]}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7277-0042","authenticated-orcid":true,"given":"Sheng","family":"Lan","sequence":"additional","affiliation":[{"id":[{"id":"https:\/\/ror.org\/01kq0pv72","id-type":"ROR","asserted-by":"publisher"}]}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"285","published-online":{"date-parts":[[2026,6,29]]},"reference":[{"key":"ol-51-13-3721-R1","doi-asserted-by":"publisher","first-page":"1079","DOI":"10.1364\/OPTICA.3.001079","type":"journal-article","volume":"3","author":"Zhou","year":"2016","journal-title":"Optica"},{"key":"ol-51-13-3721-R2","doi-asserted-by":"publisher","first-page":"100","DOI":"10.1364\/OL.38.000100","type":"journal-article","volume":"38","author":"Wang","year":"2013","journal-title":"Opt. Lett."},{"key":"ol-51-13-3721-R3","doi-asserted-by":"publisher","first-page":"015006","DOI":"10.1103\/RevModPhys.91.015006","type":"journal-article","volume":"91","author":"Ozawa","year":"2019","journal-title":"Rev. Mod. Phys."},{"key":"ol-51-13-3721-R4","doi-asserted-by":"publisher","first-page":"115013","DOI":"10.1088\/1367-2630\/aa8a9f","type":"journal-article","volume":"19","author":"F\u00f6sel","year":"2017","journal-title":"New J. Phys."},{"key":"ol-51-13-3721-R5","doi-asserted-by":"publisher","first-page":"153907","DOI":"10.1103\/PhysRevLett.122.153907","type":"journal-article","volume":"122","author":"Chen","year":"2019","journal-title":"Phys. Rev. Lett."},{"key":"ol-51-13-3721-R6","doi-asserted-by":"publisher","first-page":"203902","DOI":"10.1103\/PhysRevLett.100.053902","type":"journal-article","volume":"100","author":"Flossmann","year":"2008","journal-title":"Phys. Rev. Lett."},{"key":"ol-51-13-3721-R7","doi-asserted-by":"publisher","first-page":"040901","DOI":"10.1063\/5.0045261","type":"journal-article","volume":"6","author":"Wang","year":"2021","journal-title":"APL Photonics"},{"key":"ol-51-13-3721-R8","doi-asserted-by":"publisher","first-page":"467","DOI":"10.1038\/s41586-020-2181-4","type":"journal-article","volume":"580","author":"Yin","year":"2020","journal-title":"Nature"},{"key":"ol-51-13-3721-R9","doi-asserted-by":"publisher","first-page":"196","DOI":"10.1038\/nature20799","type":"journal-article","volume":"541","author":"Kodigala","year":"2017","journal-title":"Nature"},{"key":"ol-51-13-3721-R10","doi-asserted-by":"publisher","first-page":"037401","DOI":"10.1103\/PhysRevLett.113.037401","type":"journal-article","volume":"113","author":"Yang","year":"2014","journal-title":"Phys. Rev. Lett."},{"key":"ol-51-13-3721-R11","doi-asserted-by":"publisher","first-page":"116104","DOI":"10.1103\/PhysRevLett.123.116104","type":"journal-article","volume":"123","author":"Liu","year":"2019","journal-title":"Phys. Rev. Lett."},{"key":"ol-51-13-3721-R12","doi-asserted-by":"publisher","first-page":"153904","DOI":"10.1103\/PhysRevLett.124.153904","type":"journal-article","volume":"124","author":"Ye","year":"2020","journal-title":"Phys. Rev. Lett."},{"key":"ol-51-13-3721-R13","doi-asserted-by":"publisher","first-page":"176101","DOI":"10.1103\/PhysRevLett.127.176101","type":"journal-article","volume":"127","author":"Zeng","year":"2021","journal-title":"Phys. Rev. Lett."},{"key":"ol-51-13-3721-R14","doi-asserted-by":"publisher","first-page":"e2019578118","DOI":"10.1073\/pnas.2019578118","type":"journal-article","volume":"118","author":"Chen","year":"2021","journal-title":"Proc. Natl. Acad. Sci. U.S.A"},{"key":"ol-51-13-3721-R15","doi-asserted-by":"publisher","first-page":"1009","DOI":"10.1126\/science.aap9859","type":"journal-article","volume":"359","author":"Zhou","year":"2018","journal-title":"Science"},{"key":"ol-51-13-3721-R16","doi-asserted-by":"publisher","first-page":"056401","DOI":"10.1103\/PhysRevLett.130.056401","type":"journal-article","volume":"130","author":"Yin","year":"2023","journal-title":"Phys. Rev. Lett."},{"key":"ol-51-13-3721-R17","doi-asserted-by":"publisher","first-page":"892","DOI":"10.1364\/AOP.11.000892","type":"journal-article","volume":"11","author":"Krasnok","year":"2019","journal-title":"Adv. Opt. Photonics"},{"key":"ol-51-13-3721-R18","doi-asserted-by":"publisher","first-page":"6846","DOI":"10.1364\/OE.443656","type":"journal-article","volume":"30","author":"Sauvan","year":"2022","journal-title":"Opt. Express"},{"key":"ol-51-13-3721-R19","doi-asserted-by":"publisher","first-page":"eaar7709","DOI":"10.1126\/science.aar7709","type":"journal-article","volume":"363","author":"Miri","year":"2019","journal-title":"Science"},{"key":"ol-51-13-3721-R20","doi-asserted-by":"publisher","first-page":"783","DOI":"10.1038\/s41563-019-0304-9","type":"journal-article","volume":"18","author":"\u00d6zdemir","year":"2019","journal-title":"Nat. Mater."},{"key":"ol-51-13-3721-R21","doi-asserted-by":"publisher","first-page":"377","DOI":"10.1038\/s41377-025-02036-0","type":"journal-article","volume":"14","author":"Wang","year":"2025","journal-title":"Light Sci. Appl."},{"key":"ol-51-13-3721-R22","doi-asserted-by":"publisher","first-page":"035430","DOI":"10.1103\/PhysRevB.111.035430","type":"journal-article","volume":"111","author":"Wang","year":"2025","journal-title":"Phys. Rev. B"},{"key":"ol-51-13-3721-R23","doi-asserted-by":"publisher","first-page":"620","DOI":"10.1364\/OL.581894","type":"journal-article","volume":"51","author":"Wu","year":"2026","journal-title":"Opt. Lett."},{"key":"ol-51-13-3721-R24","doi-asserted-by":"publisher","first-page":"e00555","DOI":"10.1002\/lpor.202500555","type":"journal-article","volume":"19","author":"Huang","year":"2025","journal-title":"Laser Photonics Rev."},{"key":"ol-51-13-3721-R25","doi-asserted-by":"publisher","first-page":"257401","DOI":"10.1103\/PhysRevLett.113.257401","type":"journal-article","volume":"113","author":"Zhen","year":"2014","journal-title":"Phys. Rev. Lett."},{"key":"ol-51-13-3721-R26","doi-asserted-by":"publisher","first-page":"053902","DOI":"10.1103\/PhysRevLett.125.053902","type":"journal-article","volume":"125","author":"Yoda","year":"2020","journal-title":"Phys. Rev. Lett."},{"key":"ol-51-13-3721-R27","doi-asserted-by":"publisher","first-page":"569","DOI":"10.1364\/josaa.20.000569","type":"journal-article","volume":"20","author":"Fan","year":"2003","journal-title":"J. Opt. Soc. Am. A"},{"key":"ol-51-13-3721-R28","doi-asserted-by":"publisher","first-page":"173802","DOI":"10.1103\/PhysRevLett.132.173802","type":"journal-article","volume":"132","author":"Le","year":"2024","journal-title":"Phys. Rev. Lett."}],"container-title":["Optics Letters"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/opg.optica.org\/viewmedia.cfm?URI=ol-51-13-3721&seq=0","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,6,29]],"date-time":"2026-06-29T12:49:28Z","timestamp":1782737368000},"score":1,"resource":{"primary":{"URL":"https:\/\/opg.optica.org\/abstract.cfm?URI=ol-51-13-3721"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026,6,29]]},"references-count":28,"journal-issue":{"issue":"13","published-online":{"date-parts":[[2026]]},"published-print":{"date-parts":[[2026]]}},"URL":"https:\/\/doi.org\/10.1364\/ol.605330","relation":{},"ISSN":["0146-9592","1539-4794"],"issn-type":[{"value":"0146-9592","type":"print"},{"value":"1539-4794","type":"electronic"}],"subject":[],"published":{"date-parts":[[2026,6,29]]},"assertion":[{"value":"Optica Publishing Group","name":"publisher","label":"This article is maintained by"},{"value":"https:\/\/doi.org\/10.1364\/OL.605330","name":"articlelink","label":"Crossref DOI link to publisher maintained version"},{"value":"letter","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":"14 May 2026","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"15 June 2026","order":1,"name":"accepted","label":"Accepted","group":{"name":"publication_history","label":"Publication History"}},{"value":"29 June 2026","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}},{"value":"\u00a9 2026 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"}]}}