{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,7]],"date-time":"2026-01-07T14:19:58Z","timestamp":1767795598983,"version":"3.49.0"},"reference-count":34,"publisher":"Springer Science and Business Media LLC","issue":"6","license":[{"start":{"date-parts":[[2005,11,14]],"date-time":"2005-11-14T00:00:00Z","timestamp":1131926400000},"content-version":"vor","delay-in-days":13,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Ophthalmic Physiologic Optic"],"published-print":{"date-parts":[[2005,11]]},"abstract":"<jats:title>Abstract<\/jats:title>\n                  <jats:p>\n                    <jats:bold>Purpose:\u2002<\/jats:bold>\n                    The purpose of this study is to assess the impact of decentration of astigmatic intra\u2010ocular lenses on the residual refraction after cataract surgery, using a computing scheme with 5\u2003\u00d7\u20035 system matrices.\n                  <\/jats:p>\n                  <jats:p>\n                    <jats:bold>Methods:\u2002<\/jats:bold>\n                    Based on the definition of an optical system in the paraxial Gaussian space containing astigmatic surfaces without restrictions to coaxiality, we derived a method (using 5\u2003\u00d7\u20035 refraction and translation matrices) for calculating the residual refraction and the compensating prism in the spectacle plane after decentred implantation of thin and thick astigmatic intra\u2010ocular lenses. The \u2018optical system eye\u2019 may contain astigmatic refractive surfaces with their axes at random.\n                  <\/jats:p>\n                  <jats:p>\n                    <jats:bold>Results:\u2002<\/jats:bold>\n                    The capabilities of this computing scheme are demonstrated with two examples. In example 1 we calculate the residual refraction of a decentred \u2018thin astigmatic lens\u2019 for compensation of corneal astigmatism to achieve a spherical target refraction. In example 2 we compute the residual refraction after implantation of a \u2018thick astigmatic lens\u2019, where the spherical and cylindrical power as well as the implantation axis of the lens do not fully match the pre\u2010operative recommendations and the lens is decentred relative to the optical axis. For both examples, we derive the residual prismatic effect in the spectacle plane and the lateral displacement of a ray exiting the spectacle correction when starting coaxially at the retina.\n                  <\/jats:p>\n                  <jats:p>\n                    <jats:bold>Conclusions:\u2002<\/jats:bold>\n                    We have presented an en bloc matrix\u2010based strategy for the calculation of the residual spherocylindrical refraction at the spectacle plane after implantation of a decentred thin or thick astigmatic intra\u2010ocular lens without restrictions to coaxiality. The resulting system matrix is written as a product of 5\u2003\u00d7\u20035 refraction and translation matrices.\n                  <\/jats:p>","DOI":"10.1111\/j.1475-1313.2005.00335.x","type":"journal-article","created":{"date-parts":[[2005,11,14]],"date-time":"2005-11-14T04:49:54Z","timestamp":1131943794000},"page":"568-575","update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":10,"title":["Impact of decentration of astigmatic intra\u2010ocular lenses on the residual refraction after cataract surgery*"],"prefix":"10.1007","volume":"25","author":[{"given":"Achim","family":"Langenbucher","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Sven","family":"Reese","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Berthold","family":"Seitz","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2005,11,14]]},"reference":[{"key":"e_1_2_5_2_1","doi-asserted-by":"publisher","DOI":"10.1007\/s003470100542"},{"key":"e_1_2_5_3_1","doi-asserted-by":"publisher","DOI":"10.1016\/S0886-3350(99)00272-2"},{"key":"e_1_2_5_4_1","first-page":"27","article-title":"Estimation of optical power of the intraocular lens","volume":"4","author":"Fyodorov S. 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Versammlung der Rheinisch\u2010Westf\u00e4lischen Augen\u00e4rzte","author":"Gernet H.","year":"1970"},{"key":"e_1_2_5_6_1","first-page":"287","volume-title":"Introduction to Matrix Methods in Optics","author":"Gerrard A.","year":"1975"},{"key":"e_1_2_5_7_1","doi-asserted-by":"publisher","DOI":"10.1007\/s003470170077"},{"key":"e_1_2_5_8_1","doi-asserted-by":"publisher","DOI":"10.1016\/S0886-3350(02)01536-5"},{"key":"e_1_2_5_9_1","doi-asserted-by":"publisher","DOI":"10.1016\/S0886-3350(01)00967-1"},{"key":"e_1_2_5_10_1","first-page":"255","volume-title":"Augen\u00e4rztliche Untersuchungsmethoden","author":"Haigis W.","year":"1995"},{"key":"e_1_2_5_11_1","doi-asserted-by":"publisher","DOI":"10.1097\/00006324-199404000-00009"},{"key":"e_1_2_5_12_1","doi-asserted-by":"publisher","DOI":"10.1097\/00006324-199907000-00024"},{"key":"e_1_2_5_13_1","doi-asserted-by":"publisher","DOI":"10.1111\/j.1475-1313.2000.tb01128.x"},{"key":"e_1_2_5_14_1","doi-asserted-by":"publisher","DOI":"10.1016\/S0361-235X(75)80004-3"},{"key":"e_1_2_5_15_1","doi-asserted-by":"publisher","DOI":"10.1016\/S0886-3350(13)80338-0"},{"key":"e_1_2_5_16_1","doi-asserted-by":"publisher","DOI":"10.1016\/S0886-3350(88)80059-2"},{"key":"e_1_2_5_17_1","doi-asserted-by":"publisher","DOI":"10.1097\/00006324-198010000-00007"},{"key":"e_1_2_5_18_1","doi-asserted-by":"publisher","DOI":"10.1097\/00006324-198110000-00006"},{"key":"e_1_2_5_19_1","doi-asserted-by":"publisher","DOI":"10.1097\/00006324-198111000-00003"},{"key":"e_1_2_5_20_1","doi-asserted-by":"publisher","DOI":"10.1046\/j.1475-1313.2003.00090.x"},{"key":"e_1_2_5_21_1","doi-asserted-by":"publisher","DOI":"10.1046\/j.1475-1313.2003.00109.x"},{"key":"e_1_2_5_22_1","doi-asserted-by":"publisher","DOI":"10.1055\/s-2004-812972"},{"key":"e_1_2_5_23_1","doi-asserted-by":"publisher","DOI":"10.1038\/eye.2001.61"},{"key":"e_1_2_5_24_1","doi-asserted-by":"publisher","DOI":"10.1097\/00006324-197811000-00004"},{"key":"e_1_2_5_25_1","doi-asserted-by":"publisher","DOI":"10.1016\/S0886-3350(00)00442-9"},{"key":"e_1_2_5_26_1","doi-asserted-by":"publisher","DOI":"10.1097\/00055735-200002000-00007"},{"key":"e_1_2_5_27_1","doi-asserted-by":"publisher","DOI":"10.1016\/S0886-3350(01)01346-3"},{"key":"e_1_2_5_28_1","doi-asserted-by":"publisher","DOI":"10.1016\/S0146-2776(80)80008-5"},{"key":"e_1_2_5_29_1","doi-asserted-by":"publisher","DOI":"10.1016\/S0886-3350(13)80705-5"},{"key":"e_1_2_5_30_1","doi-asserted-by":"publisher","DOI":"10.1097\/00006324-197412000-00004"},{"key":"e_1_2_5_31_1","doi-asserted-by":"publisher","DOI":"10.1016\/S0886-3350(00)00317-5"},{"key":"e_1_2_5_32_1","doi-asserted-by":"publisher","DOI":"10.1016\/S0886-3350(88)80087-7"},{"key":"e_1_2_5_33_1","doi-asserted-by":"publisher","DOI":"10.1016\/S0161-6420(00)00266-9"},{"key":"e_1_2_5_34_1","doi-asserted-by":"publisher","DOI":"10.1055\/s-2002-26722"},{"key":"e_1_2_5_35_1","doi-asserted-by":"publisher","DOI":"10.1016\/S0886-3350(01)01035-5"}],"container-title":["Ophthalmic and Physiological Optics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.wiley.com\/onlinelibrary\/tdm\/v1\/articles\/10.1111%2Fj.1475-1313.2005.00335.x","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1111\/j.1475-1313.2005.00335.x","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,1,7]],"date-time":"2026-01-07T11:24:20Z","timestamp":1767785060000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1111\/j.1475-1313.2005.00335.x"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2005,11]]},"references-count":34,"journal-issue":{"issue":"6","published-print":{"date-parts":[[2005,11]]}},"alternative-id":["10.1111\/j.1475-1313.2005.00335.x"],"URL":"https:\/\/doi.org\/10.1111\/j.1475-1313.2005.00335.x","archive":["Portico"],"relation":{},"ISSN":["0275-5408","1475-1313"],"issn-type":[{"value":"0275-5408","type":"print"},{"value":"1475-1313","type":"electronic"}],"subject":[],"published":{"date-parts":[[2005,11]]},"assertion":[{"value":"2005-11-14","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}