{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,13]],"date-time":"2026-05-13T15:07:35Z","timestamp":1778684855295,"version":"3.51.4"},"reference-count":25,"publisher":"Optica Publishing Group","issue":"35","license":[{"start":{"date-parts":[[2025,12,4]],"date-time":"2025-12-04T00:00:00Z","timestamp":1764806400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/doi.org\/10.1364\/OA_License_v2#VOR"},{"start":{"date-parts":[[2025,12,4]],"date-time":"2025-12-04T00:00:00Z","timestamp":1764806400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/opg.optica.org\/policies\/opg-tdm-policy.json"}],"funder":[{"DOI":"10.13039\/501100013061","name":"Jilin Provincial Scientific and\n\t\t\t\t\t\tTechnological Development Program","doi-asserted-by":"publisher","award":["20230201049GX"],"award-info":[{"award-number":["20230201049GX"]}],"id":[{"id":"10.13039\/501100013061","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Zhiyuan Laboratory","award":["ZYL2024016"],"award-info":[{"award-number":["ZYL2024016"]}]}],"content-domain":{"domain":["opg.optica.org"],"crossmark-restriction":false},"short-container-title":["Appl. Opt."],"published-print":{"date-parts":[[2025,12,10]]},"abstract":"<jats:p>This paper proposes an analytical design method for tilted three-mirror\n\t\t\t\t\tastronomical telescopes with boresight adjustment. Based on the local\n\t\t\t\t\tcoordinate system (LCS) paraxial ray trace and nodal aberration theory\n\t\t\t\t\t(NAT), combined with Seidel coefficient expressions, we derive\n\t\t\t\t\tanalytical formulas for the induced linear with field astigmatism and\n\t\t\t\t\timage plane displacement (boresight error) induced by the tilt and\n\t\t\t\t\tdecenter of the primary mirror (PM), secondary mirror (SM), and\n\t\t\t\t\ttertiary mirror (TM). On this basis, the design method is introduced.\n\t\t\t\t\tThis design method simultaneously considers minimizing the induced\n\t\t\t\t\tcoma and astigmatism along with boresight adjustment, enabling the\n\t\t\t\t\tgeneration of initial tilted three-mirror configurations that either\n\t\t\t\t\teliminate obscuration or achieve optimal structural compactness. To\n\t\t\t\t\tdemonstrate the feasibility of the method, we conduct tilted designs\n\t\t\t\t\tfor two three-mirror anastigmat (TMA) systems as examples, yielding\n\t\t\t\t\tseveral promising tilted three-mirror configurations. The design\n\t\t\t\t\tresults validate the effectiveness of this method.<\/jats:p>","DOI":"10.1364\/ao.575919","type":"journal-article","created":{"date-parts":[[2025,10,29]],"date-time":"2025-10-29T15:00:10Z","timestamp":1761750010000},"page":"10564","update-policy":"https:\/\/doi.org\/10.1364\/crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Design method of large-aperture tilted three-mirror astronomical telescopes with boresight adjustment based on the nodal aberration theory"],"prefix":"10.1364","volume":"64","author":[{"given":"Lei","family":"Song","sequence":"first","affiliation":[{"name":"Changchun Institute of Optics, Fine Mechanics and Physics"},{"name":"University of Chinese Academy of Sciences"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Hongcai","family":"Ma","sequence":"additional","affiliation":[{"name":"Changchun Institute of Optics, Fine Mechanics and Physics"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"285","published-online":{"date-parts":[[2025,12,4]]},"reference":[{"key":"ao-64-35-10564-R1","doi-asserted-by":"publisher","first-page":"611","DOI":"10.1117\/12.552053","type":"journal-article","volume":"5487","author":"Davila","year":"2004","journal-title":"Proc. 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All rights, including\n\t\t\t\t\tfor text and data mining (TDM), Artificial Intelligence (AI) training,\n\t\t\t\t\tand similar technologies, are reserved.","name":"copyright","label":"Copyright"}]}}