{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,13]],"date-time":"2026-05-13T15:13:26Z","timestamp":1778685206993,"version":"3.51.4"},"reference-count":18,"publisher":"Optica Publishing Group","issue":"22","license":[{"start":{"date-parts":[[2025,11,12]],"date-time":"2025-11-12T00:00:00Z","timestamp":1762905600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/doi.org\/10.1364\/OA_License_v2#VOR"},{"start":{"date-parts":[[2025,11,12]],"date-time":"2025-11-12T00:00:00Z","timestamp":1762905600000},"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\n\t\t\t\t\t\tChina","doi-asserted-by":"publisher","award":["62475295"],"award-info":[{"award-number":["62475295"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["opg.optica.org"],"crossmark-restriction":false},"short-container-title":["Opt. Lett."],"published-print":{"date-parts":[[2025,11,15]]},"abstract":"<jats:p>Vision correction needs to be integrated into near-eye displays (NEDs)\n\t\t\t\t\tbecause people with refractive errors cannot view NEDs while wearing\n\t\t\t\t\tspectacles. In particular, full prescription including spherical\n\t\t\t\t\t(defocused) and cylindrical (astigmatic) optical powers should be\n\t\t\t\t\tdynamically corrected. This study considers the Alvarez lenses due to\n\t\t\t\t\ttheir compactness and scalable fabrication; however, they cannot\n\t\t\t\t\tachieve full prescription correction because the traditional\n\t\t\t\t\tone-dimensional (1D) displacement only modulates a defocused\n\t\t\t\t\twavefront. This study introduces displacement direction as an\n\t\t\t\t\tadditional parameter to develop 2D Alvarez lenses. A mathematical\n\t\t\t\t\tframework is established to derive a surface equation that can correct\n\t\t\t\t\tarbitrary combinations of defocus and astigmatism. A pancake-based NED\n\t\t\t\t\twas adopted to verify the proposed Alvarez lenses through simulation\n\t\t\t\t\tand experiment for four typical prescriptions. Finally, an Apple\n\t\t\t\t\tVision Pro integrated with fabricated Alvarez lenses (diameter:\n\t\t\t\t\t36\u2009mm; thickness: 6.5\u2009mm) demonstrated that image\n\t\t\t\t\tquality was almost corrected to normal vision.<\/jats:p>","DOI":"10.1364\/ol.581730","type":"journal-article","created":{"date-parts":[[2025,11,3]],"date-time":"2025-11-03T14:00:50Z","timestamp":1762178450000},"page":"7127","update-policy":"https:\/\/doi.org\/10.1364\/crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Full prescription corrected near-eye displays using two-dimensionally displaced Alvarez lenses"],"prefix":"10.1364","volume":"50","author":[{"ORCID":"https:\/\/orcid.org\/0009-0000-7931-793X","authenticated-orcid":true,"given":"Yi","family":"Liu","sequence":"first","affiliation":[{"name":"Sun Yat-sen University"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jie","family":"Tang","sequence":"additional","affiliation":[{"name":"Sun Yat-sen University"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0009-0004-6822-6054","authenticated-orcid":true,"given":"Qimeng","family":"Wang","sequence":"additional","affiliation":[{"name":"Sun Yat-sen University"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Mingjing","family":"Wang","sequence":"additional","affiliation":[{"name":"Sun Yat-sen University"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xinni","family":"Xie","sequence":"additional","affiliation":[{"name":"Sun Yat-sen University"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0009-0002-5620-3547","authenticated-orcid":true,"given":"Zhiqing","family":"Zhao","sequence":"additional","affiliation":[{"name":"Sun Yat-sen University"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Bo-Ru","family":"Yang","sequence":"additional","affiliation":[{"name":"Sun Yat-sen University"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5689-2085","authenticated-orcid":true,"given":"Zong","family":"Qin","sequence":"additional","affiliation":[{"name":"Sun Yat-sen University"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"285","published-online":{"date-parts":[[2025,11,12]]},"reference":[{"key":"ol-50-22-7127-R1","doi-asserted-by":"publisher","first-page":"10","DOI":"10.1186\/s43074-020-00010-0","type":"journal-article","volume":"1","author":"Zhan","year":"2020","journal-title":"PhotoniX"},{"key":"ol-50-22-7127-R2","doi-asserted-by":"publisher","first-page":"57","DOI":"10.1145\/3592110","type":"journal-article","volume":"42","author":"Qin","year":"2023","journal-title":"ACM T.\n\t\t\t\t\tGraphic."},{"key":"ol-50-22-7127-R3","doi-asserted-by":"publisher","first-page":"21","DOI":"10.1364\/PRJ.440018","type":"journal-article","volume":"10","author":"Cheng","year":"2021","journal-title":"Photonics\n\t\t\t\t\tRes."},{"key":"ol-50-22-7127-R4","doi-asserted-by":"publisher","first-page":"22768","DOI":"10.1364\/OE.461378","type":"journal-article","volume":"30","author":"Lin","year":"2022","journal-title":"Opt.\n\t\t\t\t\tExpress"},{"key":"ol-50-22-7127-R5","doi-asserted-by":"publisher","first-page":"5602","DOI":"10.1364\/OE.384697","type":"journal-article","volume":"28","author":"Shin","year":"2020","journal-title":"Opt.\n\t\t\t\t\tExpress"},{"key":"ol-50-22-7127-R6","doi-asserted-by":"publisher","first-page":"142","DOI":"10.1117\/12.2318397","type":"journal-article","volume":"10676","author":"Stevens","year":"2018","journal-title":"Proc. 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All rights,\n\t\t\t\t\tincluding for text and data mining (TDM), Artificial Intelligence (AI)\n\t\t\t\t\ttraining, and similar technologies, are\n\t\t\t\t\treserved.","name":"copyright","label":"Copyright"}]}}