Navarro Rafael
Instituto de Ciencia de Materiales de Aragon (ICMA), Consejo Superior de Investigaciones Cientificas-Universidad de Zaragoza, Facultad de Ciencias, Plaza San Francisco s/n, 50 009 Zaragoza, Spain.
J Biomed Opt. 2009 Mar-Apr;14(2):024021. doi: 10.1117/1.3103319.
A theoretical framework to formulate and solve the problem of obtaining the objective refraction of an eye from aberrometric data is presented. Matrix formalism was applied to represent lens power and beam vergences in standard clinical, sphere+cylinder (S+C) refraction, and to describe the vergence error of a general aberrated skew ray. The vergence error matrix of each ray passing through the pupil is obtained, and the global refractive error is obtained by simple pupil average. The 2 x 2 vergence error matrix of a skew ray can be decomposed into the sum of two even-symmetric and odd-symmetric contributions. The even symmetric part corresponds to classic S+C refractive errors. The odd component can not be corrected with standard lenses. All odd components have zero mean over pupil, and do not contribute to the global refractive error, which is completely determined by S+C components. The contributions of wavefront Zernike modes to the global vergence error were obtained: The contributions of odd orders are zero, but all even HOA, but spherical aberration, contribute to refractive error. The matrix formulation of power and vergence errors provided a direct, simple way to use aberrometers as objective refractometers.
本文提出了一个理论框架，用于阐述和解决从像差数据中获取眼睛客观屈光不正的问题。采用矩阵形式来表示标准临床球镜+柱镜（S+C）验光中的透镜焦度和光束聚散度，并描述一般像差斜光线的聚散度误差。得到了每条穿过瞳孔的光线的聚散度误差矩阵，并通过简单的瞳孔平均得到整体屈光不正。斜光线的2×2聚散度误差矩阵可分解为两个偶对称和奇对称分量之和。偶对称部分对应于经典的S+C屈光不正。奇分量不能用标准透镜矫正。所有奇分量在瞳孔上的平均值为零，对整体屈光不正没有贡献，整体屈光不正完全由S+C分量决定。得到了波前泽尼克模式对整体聚散度误差的贡献：奇数阶的贡献为零，但除球差外的所有偶数高阶像差都对屈光不正有贡献。焦度和聚散度误差的矩阵公式提供了一种直接、简单的方法，可将像差仪用作客观验光仪。
