{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,9,21]],"date-time":"2026-09-21T20:54:43Z","timestamp":1790024083303,"version":"4.0.1"},"reference-count":28,"publisher":"Optica Publishing Group","issue":"16","license":[{"start":{"date-parts":[[2021,8,6]],"date-time":"2021-08-06T00:00:00Z","timestamp":1628208000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/doi.org\/10.1364\/OA_License_v1#VOR"},{"start":{"date-parts":[[2021,8,6]],"date-time":"2021-08-06T00:00:00Z","timestamp":1628208000000},"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":["62075073"],"award-info":[{"award-number":["62075073"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100012226","name":"Fundamental Research Funds for the Central Universities","doi-asserted-by":"publisher","award":["2019kfyXKJC038"],"award-info":[{"award-number":["2019kfyXKJC038"]}],"id":[{"id":"10.13039\/501100012226","id-type":"DOI","asserted-by":"publisher"}]},{"name":"State Key Laboratory of Advanced Optical Communication Systems and Networks, Shanghai Jiao Tong University, China","award":["2021GZKF007"],"award-info":[{"award-number":["2021GZKF007"]}]},{"DOI":"10.13039\/501100003819","name":"Natural Science Foundation of Hubei Province","doi-asserted-by":"publisher","award":["2019CFB438"],"award-info":[{"award-number":["2019CFB438"]}],"id":[{"id":"10.13039\/501100003819","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Science and Technology of State Grid Corporation of China: Research on the Design and Stability Control Technology of Multi-quantum Well Semiconductor Light Source for Optical Sensing","award":["5700-202018483A-0-0-00"],"award-info":[{"award-number":["5700-202018483A-0-0-00"]}]}],"content-domain":{"domain":["opg.optica.org"],"crossmark-restriction":false},"short-container-title":["Opt. Lett."],"published-print":{"date-parts":[[2021,8,15]]},"abstract":"<jats:p>For the design of achromatic metalenses, one key challenge is to accurately realize the wavelength dependent phase profile. Because of the demand of tremendous simulations, traditional methods are laborious and time consuming. Here, a novel deep neural network (DNN) is proposed and applied to the achromatic metalens design, which turns complex design processes into regression tasks through fitting the target phase curves. During training, <jats:inline-formula>\n      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"inline\">\n\t<mml:mi>x<\/mml:mi>\n\t<mml:mo>\u2212<\/mml:mo>\n\t<mml:mi>y<\/mml:mi>\n      <\/mml:math>\n    <\/jats:inline-formula> projection pairs are put forward to solve the phase jump problem, and some additional phase curves are manually generated to optimize the DNN performance. To demonstrate the validity of our DNN, two achromatic metalenses in the near-infrared region are designed and simulated. Their average focal length shifts are 2.6% and 1.7%, while their average relative focusing efficiencies reach 59.18% and 77.88%.<\/jats:p>","DOI":"10.1364\/ol.427221","type":"journal-article","created":{"date-parts":[[2021,7,8]],"date-time":"2021-07-08T03:00:10Z","timestamp":1625713210000},"page":"3881","update-policy":"https:\/\/doi.org\/10.1364\/crossmark_policy","source":"Crossref","is-referenced-by-count":46,"title":["Broadband achromatic metalens design based on deep neural networks"],"prefix":"10.1364","volume":"46","author":[{"given":"Xipeng","family":"An","sequence":"first","affiliation":[{"name":"Huazhong University of Science and Technology"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Yue","family":"Cao","sequence":"additional","affiliation":[{"name":"Huazhong University of Science and Technology"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Yunxuan","family":"Wei","sequence":"additional","affiliation":[{"name":"Huazhong University of Science and Technology"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Zhihao","family":"Zhou","sequence":"additional","affiliation":[{"name":"Huazhong University of Science and Technology"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Tie","family":"Hu","sequence":"additional","affiliation":[{"name":"Huazhong University of Science and Technology"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Xing","family":"Feng","sequence":"additional","affiliation":[{"name":"Huazhong University of Science and Technology"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Guangqiang","family":"He","sequence":"additional","affiliation":[{"name":"Shanghai Jiao Tong University"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Ming","family":"Zhao","sequence":"additional","affiliation":[{"name":"Huazhong University of Science and Technology"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Zhenyu","family":"Yang","sequence":"additional","affiliation":[{"name":"Huazhong University of Science and Technology"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"285","published-online":{"date-parts":[[2021,8,6]]},"reference":[{"key":"ol-46-16-3881-R1","doi-asserted-by":"publisher","first-page":"333","DOI":"10.1126\/science.1210713","volume":"334","author":"Yu","year":"2011","journal-title":"Science"},{"key":"ol-46-16-3881-R2","doi-asserted-by":"publisher","first-page":"4607","DOI":"10.1038\/s41467-018-07056-6","volume":"9","author":"Yang","year":"2018","journal-title":"Nat. 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