{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,28]],"date-time":"2026-02-28T03:10:06Z","timestamp":1772248206811,"version":"3.50.1"},"reference-count":17,"publisher":"Optica Publishing Group","issue":"4","license":[{"start":{"date-parts":[[2021,1,25]],"date-time":"2021-01-25T00:00:00Z","timestamp":1611532800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/doi.org\/10.1364\/OA_License_v1#VOR"},{"start":{"date-parts":[[2021,1,25]],"date-time":"2021-01-25T00:00:00Z","timestamp":1611532800000},"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":["61705018"],"award-info":[{"award-number":["61705018"]}],"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":["61805025"],"award-info":[{"award-number":["61805025"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100013061","name":"Jilin Scientific and Technological Development Program","doi-asserted-by":"publisher","award":["20200401055GX"],"award-info":[{"award-number":["20200401055GX"]}],"id":[{"id":"10.13039\/501100013061","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["opg.optica.org"],"crossmark-restriction":false},"short-container-title":["Appl. Opt."],"published-print":{"date-parts":[[2021,2,1]]},"abstract":"<jats:p>A plate beam splitter can simultaneously increase the transmittances and reflectances of different split spectrum segments. The splitter has been widely used in optical systems. However, when a beam passes through a beam splitter in a convergent optical path, the image quality may be degraded severely because the tilted plate may introduce aberrations such as astigmatism at the on-axis point. The formula for calculating this astigmatism is established. The calculated results are consistent with the simulated results, and the validity of the formula is verified through experiments. A cylindrical lens curvature calculation formula is derived to correct the on-axis astigmatism, which reduces the aberrations introduced by the tilted plate and improves the imaging performance. The imaging characteristics of the off-axis field of view and the reasons for the changes in image quality are analyzed. 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