Instituto de Óptica "Daza de Valdes," Consejo Superior de Investigaciones Científicas (CSIC), Madrid, Spain.
Invest Ophthalmol Vis Sci. 2014 Apr 21;55(4):2599-607. doi: 10.1167/iovs.14-14201.
To estimate the contribution of 3-dimensional (3D) lens geometry and gradient refractive index (GRIN) to the lens spherical aberration (SA) with age.
A total of 35 donor human lenses (19-71 years) were imaged with 3D-spectral optical coherence tomography (sOCT). Paraxial and nonparaxial back focal length were measured with laser ray tracing (LRT). The parameters of a 4-variable 3D GRIN model were reconstructed from the data using a global search algorithm. Spherical aberration was calculated for GRIN lenses and their corresponding homogeneous lenses.
Lens thickness and radii of curvature increased significantly with age. Negative anterior conic constant shifted toward more-positive values (slope: 0.228, P < 0.001), whereas posterior values remained almost constant (slope: 0.0275, P = 0.002). We found a minor decrease and a small significant increase of nucleus and surface refractive index, respectively. The GRIN meridional power exponent had a tendency to increase, indicating a flattening of GRIN distribution, whereas the axial exponent remained almost constant. We did not find a significant age-dependence of the equivalent index. The back focal length had a significant increase with age (P < 0.001). The SA shifted toward less-negative values (slope: 0.0249, P < 0.001) at higher rates when considering the reconstructed GRIN (slope: 0.041, P < 0.001).
Three-dimensional sOCT and LRT allowed reconstruction of lens geometry and GRIN in isolated lenses. The constancy of the GRIN axial power exponent, and the opposite slopes of surface and nucleus indices with age, explain the minor variations of the average index. Both geometrical changes and increase in the GRIN meridional power exponent contribute to the age-dependent shift of negative SA.
评估 3 维(3D)透镜几何形状和梯度折射率(GRIN)对随年龄变化的透镜球差(SA)的贡献。
对 35 个供体人眼晶状体(19-71 岁)进行 3D 光谱光学相干断层扫描(sOCT)成像。使用激光光线追踪(LRT)测量近轴和非近轴后焦距。使用全局搜索算法从数据中重建 4 变量 3D GRIN 模型的参数。为 GRIN 透镜及其相应的均匀透镜计算了球差。
晶状体厚度和曲率半径随年龄显著增加。前向圆锥常数向更正值(斜率:0.228,P<0.001)显著偏移,而后向值几乎保持不变(斜率:0.0275,P=0.002)。我们发现核折射率和表面折射率分别略有下降和略有显著增加。GRIN 子午线功率指数有增加的趋势,表明 GRIN 分布变平,而轴向指数几乎保持不变。我们没有发现等效指数与年龄之间存在显著的相关性。后焦距随年龄显著增加(P<0.001)。当考虑重建的 GRIN 时,SA 向更小的负值(斜率:0.0249,P<0.001)偏移的速率更高(斜率:0.041,P<0.001)。
3D sOCT 和 LRT 允许在离体晶状体中重建晶状体几何形状和 GRIN。GRIN 轴向功率指数的常数以及表面和核折射率随年龄的相反斜率解释了平均指数的微小变化。几何变化和 GRIN 子午线功率指数的增加都有助于解释随年龄变化的负 SA。