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The purpose of this study was to present a strategy based on anterior segment OCT data for calculating the refraction correction (REF) and the change in lateral magnification (\u0394<jats:italic>M<\/jats:italic>) with ICL implantation.<\/jats:p>\n              <\/jats:sec><jats:sec>\n                <jats:title>Methods<\/jats:title>\n                <jats:p>Based on a dataset (<jats:italic>N<\/jats:italic>\u2009=\u20093659) containing Casia 2 measurements, we developed a vergence-based calculation scheme to derive the REF and gain or loss in \u0394<jats:italic>M<\/jats:italic> on implantation of a PIOL having power PIOLP. The calculation concept is based on either a thick or thin lens model for the cornea and the PIOL. In a Monte-Carlo simulation considering, all PIOL steps listed in the US patent 5,913,898, nonlinear regression models for REF and \u0394<jats:italic>M<\/jats:italic> were defined for each PIOL datapoint.<\/jats:p>\n              <\/jats:sec><jats:sec>\n                <jats:title>Results<\/jats:title>\n                <jats:p>The calculation shows that simplifying the PIOL to a thin lens could cause some inaccuracies in REF (up to \u00bd dpt) and \u0394<jats:italic>M<\/jats:italic> for PIOLs with high positive power. The full range of listed ICL powers (\u2212\u200917 to 17 dpt) could correct REF in a range from\u2009\u2212\u200917 to 12 dpt with a change in \u0394<jats:italic>M<\/jats:italic> from 17 to\u2009\u2212\u200925%. The linear regression considering anterior segment biometric data and the PIOLP was not capable of properly characterizing REF and \u0394<jats:italic>M<\/jats:italic>, whereas the nonlinear model with a quadratic term for the PIOLP showed a good performance for both REF and \u0394<jats:italic>M<\/jats:italic> prediction.<\/jats:p>\n              <\/jats:sec><jats:sec>\n                <jats:title>Conclusion<\/jats:title>\n                <jats:p>Where PIOL design data are available, the calculation concept should consider the PIOL as thick lens model. For daily use, a nonlinear regression model can properly predict REF and \u0394<jats:italic>M<\/jats:italic> for the entire range of PIOL steps if a vergence calculation is unavailable.<\/jats:p>\n              <\/jats:sec>","DOI":"10.1007\/s00417-023-06331-7","type":"journal-article","created":{"date-parts":[[2023,12,27]],"date-time":"2023-12-27T06:01:59Z","timestamp":1703656919000},"page":"1553-1565","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Monte-Carlo simulation for calculating phakic supplementary lenses based on a thick and thin lens model using anterior segment OCT data"],"prefix":"10.1007","volume":"262","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":"Alan","family":"Cayless","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Kitti","family":"Kormanyos","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jascha","family":"Wendelstein","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Peter","family":"Hoffmann","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":[[2023,12,27]]},"reference":[{"issue":"3","key":"6331_CR1","doi-asserted-by":"publisher","first-page":"306","DOI":"10.3928\/1081-597X-19980501-14","volume":"14","author":"JM Davidorf","year":"1998","unstructured":"Davidorf JM, Zaldivar R, Oscherow S (1998) Posterior chamber phakic intraocular lens for hyperopia of +4 to +11 diopters. 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The local ethics committee has provided a waiver for this study (\u00c4rztekammer des Saarlandes, 157\/21). All data processed in this study were already anonymized at the source before being transferred to us for processing. This precludes any back-tracing of the identity, and therefore informed consent of the patients was not necessary.This article does not contain any studies with animals performed by any of the authors.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Ethical approval and informed consent"}},{"value":"All authors certify that they have no affiliations with or involvement in any organization or entity with any financial interest (such as honoraria (except speaker fees as outlined below); educational grants; participation in speakers\u2019 bureaus; membership, employment, consultancies, stock ownership, or other equity interest; and expert testimony or patent-licensing arrangements), or non-financial interest (such as personal or professional relationships, affiliations, knowledge or beliefs) in the subject matter or materials discussed in this manuscript.Dr. Langenbucher reports speaker fees from Hoya Surgical and Johnson & Johnson Vision outside the submitted work.Dr. Kormanyos, Dr. Cayless, and Dr. Szentm\u00e1ry report no financial or proprietary interests.Dr. Wendelstein reports speaker fees from Carl Zeiss Meditec AG, Alcon and Johnson & Johnson Vision outside of the submitted work.Dr. Hoffmann reports speaker fees from Heidelberg engineering, Hoya Surgical, and Johnson & Johnson outside the submitted work.","order":3,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}}]}}