Thibos Larry N, Hong Xin, Bradley Arthur, Cheng Xu
School of Optometry, Indiana University, Bloomington, Indiana 47405, USA.
J Opt Soc Am A Opt Image Sci Vis. 2002 Dec;19(12):2329-48. doi: 10.1364/josaa.19.002329.
A Shack-Hartmann aberrometer was used to measure the monochromatic aberration structure along the primary line of sight of 200 cyclopleged, normal, healthy eyes from 100 individuals. Sphero-cylindrical refractive errors were corrected with ophthalmic spectacle lenses based on the results of a subjective refraction performed immediately prior to experimentation. Zernike expansions of the experimental wave-front aberration functions were used to determine aberration coefficients for a series of pupil diameters. The residual Zernike coefficients for defocus were not zero but varied systematically with pupil diameter and with the Zernike coefficient for spherical aberration in a way that maximizes visual acuity. We infer from these results that subjective best focus occurs when the area of the central, aberration-free region of the pupil is maximized. We found that the population averages of Zernike coefficients were nearly zero for all of the higher-order modes except spherical aberration. This result indicates that a hypothetical average eye representing the central tendency of the population is nearly free of aberrations, suggesting the possible influence of an emmetropization process or evolutionary pressure. However, for any individual eye the aberration coefficients were rarely zero for any Zernike mode. To first approximation, wave-front error fell exponentially with Zernike order and increased linearly with pupil area. On average, the total wave-front variance produced by higher-order aberrations was less than the wave-front variance of residual defocus and astigmatism. For example, the average amount of higher-order aberrations present for a 7.5-mm pupil was equivalent to the wave-front error produced by less than 1/4 diopter (D) of defocus. The largest pupil for which an eye may be considered diffraction-limited was 1.22 mm on average. Correlation of aberrations from the left and right eyes indicated the presence of significant bilateral symmetry. No evidence was found of a universal anatomical feature responsible for third-order optical aberrations. Using the Marechal criterion, we conclude that correction of the 12 largest principal components, or 14 largest Zernike modes, would be required to achieve diffraction-limited performance on average for a 6-mm pupil. Different methods of computing population averages provided upper and lower limits to the mean optical transfer function and mean point-spread function for our population of eyes.
使用 Shack-Hartmann 像差仪测量了来自 100 名个体的 200 只睫状肌麻痹的正常健康眼睛沿主视线方向的单色像差结构。根据实验前立即进行的主观验光结果,用眼镜片矫正了球柱面屈光不正。实验波前像差函数的泽尼克展开用于确定一系列瞳孔直径的像差系数。离焦的残余泽尼克系数不为零,但随瞳孔直径和球差的泽尼克系数系统地变化,其变化方式使视力最大化。我们从这些结果推断,当瞳孔中央无像差区域的面积最大化时,主观最佳聚焦出现。我们发现,除球差外,所有高阶模式的泽尼克系数总体平均值几乎为零。这一结果表明,代表总体中心趋势的假设平均眼几乎没有像差,这暗示了正视化过程或进化压力的可能影响。然而,对于任何一只眼睛,任何泽尼克模式的像差系数很少为零。初步近似地,波前误差随泽尼克阶数呈指数下降,随瞳孔面积呈线性增加。平均而言,高阶像差产生的总波前方差小于残余离焦和散光的波前方差。例如,对于 7.5 毫米的瞳孔,存在的高阶像差平均量相当于小于 1/4 屈光度(D)离焦产生的波前误差。眼睛可被视为衍射极限的最大瞳孔平均为 1.22 毫米。左右眼像差的相关性表明存在显著的双侧对称性。未发现导致三阶光学像差的普遍解剖特征的证据。使用马雷夏尔准则,我们得出结论,对于 6 毫米的瞳孔,平均需要校正 12 个最大的主成分或 14 个最大的泽尼克模式才能实现衍射极限性能。不同的计算总体平均值的方法为我们的眼睛群体提供了平均光学传递函数和平均点扩散函数的上限和下限。