Normal-eye Zernike coefficients and root-mean-square wavefront errors

泽尼克多项式 均方根 数学 彗差(光学) 眼睛畸变 波前 平均差 球差 光学 小学生 均方误差 物理 眼科 统计 医学 置信区间 镜头(地质) 量子力学
作者
Thomas Salmon,Corina van de Pol
出处
期刊:Journal of Cataract and Refractive Surgery [Lippincott Williams & Wilkins]
卷期号:32 (12): 2064-2074 被引量:191
标识
DOI:10.1016/j.jcrs.2006.07.022
摘要

PURPOSE: To compare aberrometry measurements from multiple sites and compute mean Zernike coefficients and root-mean-square (RMS) values for the entire data pool to serve as a reference set for normal, healthy adult eyes. SETTING: Northeastern State University, Tahlequah, Oklahoma, USA. METHODS: Data were collected from 10 laboratories that measured higher-order aberrations (HOAs) in normal, healthy adult eyes using Shack-Hartmann aberrometry (2560 eyes of 1433 subjects). Signed Zernike coefficients were scaled to pupil diameters of 6.0 mm, 5.0 mm, 4.0 mm, and 3.0 mm and corrected to a common wavelength of 550 nm. The mean signed and absolute Zernike coefficients across data sets were compared. Then, the following were computed: overall mean values for signed and absolute Zernike coefficients; polar Zernike magnitudes and RMS values for coma-like aberrations (Z3±1 and Z5±1 combined); spherical-like aberrations (Z40 and Z60 combined); and 3rd-, 4th-, 5th-, and 6th-order, and higher-order aberrations (orders 3 to 6). RESULTS: The different data sets showed good agreement for Zernike coefficients values across most higher-order modes, with greater variability for Z40 and Z3−1. The most prominent modes and their mean absolute values (6.0-mm pupil) were, respectively, Z3−1 and 0.14 μm, Z40 and 0.13 μm, and Z3−3 and 0.11 μm. The mean total higher-order RMS was 0.33 μm. CONCLUSIONS: There was a general consensus for the magnitude of HOAs expected in normal adult human eyes. At least 90% of the sample had aberrations less than double the mean values reported here. These values can serve as a set of reference norms.
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