{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,10]],"date-time":"2026-03-10T00:04:16Z","timestamp":1773101056728,"version":"3.50.1"},"reference-count":18,"publisher":"Springer Science and Business Media LLC","issue":"12","license":[{"start":{"date-parts":[[2022,7,1]],"date-time":"2022-07-01T00:00:00Z","timestamp":1656633600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0"},{"start":{"date-parts":[[2022,7,1]],"date-time":"2022-07-01T00:00:00Z","timestamp":1656633600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0"}],"funder":[{"DOI":"10.13039\/501100005690","name":"Universit\u00e4t des Saarlandes","doi-asserted-by":"crossref","id":[{"id":"10.13039\/501100005690","id-type":"DOI","asserted-by":"crossref"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Graefes Arch Clin Exp Ophthalmol"],"published-print":{"date-parts":[[2022,12]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:sec>\n                <jats:title>Background<\/jats:title>\n                <jats:p>Overall ocular magnification (OOM) and meridional ocular magnification (MOM) with consequent image distortions have been widely ignored in modern cataract surgery. The purpose of this study was to investigate OOM and MOM in a general situation with an astigmatic refracting surface.<\/jats:p>\n              <\/jats:sec><jats:sec>\n                <jats:title>Methods<\/jats:title>\n                <jats:p>From a large dataset containing biometric measurements (IOLMaster 700) of both eyes of 9734 patients prior to cataract surgery, the equivalent (P<jats:sub>IOL<\/jats:sub>eq) and cylindric power (P<jats:sub>IOL<\/jats:sub>cyl) were derived for the HofferQ, Haigis, and Castrop formulae for emmetropia. Based on the pseudophakic eye model, OOM and MOM were extracted using 4\u2009\u00d7\u20094 matrix algebra for the corrected eye (with P<jats:sub>IOL<\/jats:sub>eq\/P<jats:sub>IOL<\/jats:sub>cyl (scenario 1) or with P<jats:sub>IOL<\/jats:sub>eq and spectacle correction of the residual refractive cylinder (scenario 2) or with P<jats:sub>IOL<\/jats:sub>eq remaining the residual uncorrected refractive cylinder (blurry image) (scenario 3)). In each case, the relative image distortion of MOM\/OOM was calculated in %.<\/jats:p>\n              <\/jats:sec><jats:sec>\n                <jats:title>Results<\/jats:title>\n                <jats:p>On average, P<jats:sub>IOL<\/jats:sub>eq\/P<jats:sub>IOL<\/jats:sub>cyl was 20.73\u2009\u00b1\u20094.50 dpt\/1.39\u2009\u00b1\u20091.09 dpt for HofferQ, 20.75\u2009\u00b1\u20094.23 dpt\/1.29\u2009\u00b1\u20091.01 dpt for Haigis, and 20.63\u2009\u00b1\u20094.31 dpt\/1.26\u2009\u00b1\u20090.98 dpt for Castrop formulae. Cylindric refraction for scenario 2 was 0.91\u2009\u00b1\u20090.70 dpt, 0.89\u2009\u00b1\u20090.69 dpt, and 0.89\u2009\u00b1\u20090.69 dpt, respectively. OOM\/MOM (\u00d7\u20091000) was 16.56\u2009\u00b1\u20091.20\/0.08\u2009\u00b1\u20090.07, 16.56\u2009\u00b1\u20091.20\/0.18\u2009\u00b1\u20090.14, and 16.56\u2009\u00b1\u20091.20\/0.08\u2009\u00b1\u20090.07\u00a0mm\/mrad with HofferQ; 16.64\u2009\u00b1\u20091.16\/0.07\u2009\u00b1\u20090.06, 16.64\u2009\u00b1\u20091.16\/0.18\u2009\u00b1\u20090.14, and 16.64\u2009\u00b1\u20091.16\/0.07\u2009\u00b1\u20090.06\u00a0mm\/mrad with Haigis; and 16.72\u2009\u00b1\u20091.18\/0.07\u2009\u00b1\u20090.05, 16.72\u2009\u00b1\u20091.18\/0.18\u2009\u00b1\u20090.14, and 16.72\u2009\u00b1\u20091.18\/0.07\u2009\u00b1\u20090.05\u00a0mm\/mrad with Castrop formulae. Mean\/95% quantile relative image distortion was 0.49\/1.23%, 0.41\/1.05%, and 0.40\/0.98% for scenarios 1 and 3 and 1.09\/2.71%, 1.07\/2.66%, and 1.06\/2.64% for scenario 2 with HofferQ, Haigis, and Castrop formulae.<\/jats:p>\n              <\/jats:sec><jats:sec>\n                <jats:title>Conclusion<\/jats:title>\n                <jats:p>Matrix representation of the pseudophakic eye allows for a simple and straightforward prediction of OOM and MOM of the pseudophakic eye after cataract surgery. OOM and MOM could be used for estimating monocular image distortions, or differences in overall or meridional magnifications between eyes.<\/jats:p>\n              <\/jats:sec>","DOI":"10.1007\/s00417-022-05740-4","type":"journal-article","created":{"date-parts":[[2022,7,1]],"date-time":"2022-07-01T00:05:51Z","timestamp":1656633951000},"page":"3869-3882","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["Meridional ocular magnification after cataract surgery with toric and non-toric intraocular lenses"],"prefix":"10.1007","volume":"260","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-9175-6177","authenticated-orcid":false,"given":"Achim","family":"Langenbucher","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Peter","family":"Hoffmann","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Alan","family":"Cayless","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jascha","family":"Wendelstein","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Matthias","family":"Bolz","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"N\u00f3ra","family":"Szentm\u00e1ry","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2022,7,1]]},"reference":[{"issue":"4","key":"5740_CR1","doi-asserted-by":"publisher","first-page":"321","DOI":"10.1016\/s0039-6257(96)00005-7","volume":"41","author":"LR Achiron","year":"1997","unstructured":"Achiron LR, Witkin N, Primo S, Broocker G (1997) Contemporary management of aniseikonia. 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Dr. Wendelstein reports speaker fees from Carl Zeiss Meditec AG, Alcon, and Johnson & Johnson Vision outside of the submitted work. Dr. Langenbucher reports speaker fees from Hoya Surgical and Johnson & Johnson Vision outside the submitted work. Dr. Hoffmann reports speaker fees from Hoya Surgical and Johnson & Johnson outside the submitted work.","order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Declarations"}},{"value":"The local ethics committee provided a waiver for this study (\u00c4rztekammer des Saarlandes, 157\/21). All data processed in this study were already anonymized at the source before they were transferred to us for processing. Any back-tracing of the identity is not possible; therefore, an informed consent of the patient was not necessary.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Declarations"}}]}}