人眼不同瞳孔直径波前像差特性分析

采用Hartmann-Shack人眼像差仪,测量了人眼在3.1mm,5.2mm和6mm瞳孔直径下的波前像差。波前像差的RMS值表明,随着瞳孔直径的增大,人眼各阶波前像差均随着增大。与瞳孔直径为3.1mm时相比,瞳孔直径为6mm和5.2mm时,Zernike2-10阶波前像差的RMS值分别增大1.2-7.7倍和1.1-4.8倍。用调制传递函数(MTF)和Strehl比评价了高阶波前像差对成像质量的影响,结果表明,大瞳孔高阶波前像差对成像质量的影响大于小瞳孔;在3.1mm,5.2mm和6mm瞳孔直径下,欲达到衍射极限的Strehl比率,分别需要矫正Zernike波前像差前2-4阶、前3-6阶和前5-7阶,需矫正的像差阶数随瞳孔直径的增大而增加。     

测量视觉系统MTF的一种客观方法

视觉系统的光学调制传递函数( MTF ),通常采用以大脑知觉为基准,对客观物理刺激进行主观评价的心理物理方法来测量。利用哈特曼-夏克波前传感器测量视觉系统的波像差,再由波像差和瞳函数的自相关,即可得出视觉系统的MTF。与心理物理方法相比,该方法不受被测试者情绪和心理状态的影响,并克服了测量过程繁琐的缺陷,具有客观、简便、快捷的特点,测量的全过程仅需3分钟。     

人眼像差哈特曼测量仪的重复性测试

人眼像差哈特曼测量仪利用 Hartmann-Shack 波前传感器探测波前,并用 Zernike 多项式实现波前的重建。测试结果的重复性对该仪器来说是至关重要的。此仪器对模拟人眼静态像差和活体人眼动态像差分别进行单帧采集和连续采集,所得的模拟人眼静态像差 Zernike 系数的标准偏差的最大值,PV 与 RMS 依次为 0.016?,0.061?和 0.006?;活体人眼动态像差 Zernike 系数的标准偏差的最大值,PV 与 RMS 依次为 0.045?,0.167? 和 0.030?,这些指标都小于 ?/5,表明该仪器具有较高的重复性。     

哈特曼传感器测量人眼波像差的特性研究

准确测量人眼波像差,对提高正常眼睛的视力和人眼屈光矫正手术具有重要的实验和临床 价值。对哈特曼传感器测量人眼波像差的精确性和重复性进行了研究,测量人眼离焦的精度为0.2D,波像差的平均偏差为0.065mm。     

自适应光学人眼像差调控及其应用

自适应光学技术能够对波前像差进行实时测量及调控。1997年,该技术被首次成功地应用于活体人眼像差的调控,并获得了接近衍射极限的高分辨力视网膜视细胞图像和传统低阶像差矫正无法达到的“超视力”。随后自适应光学技术在眼科学研究中得到迅速发展。就研究内容来看,该领域主要包括视网膜高分辨力成像和人眼像差操控与视功能研究两大方向。美国Rochester大学Williams教授和加利福利亚大学Roorda教授于2011年分别对视网膜高分辨力成像和人眼像差操控与视功能研究方向的研究作了非常全面的综述。1997年,光电所在国内率先开展人眼自适应光学技术及其应用研究,本文在简单介绍人眼自适应光学系统原理的基础上,报道了光电所在该领域近五年的主要研究进展。

     

波前编码中立方相位板的装配及加工误差对成像性能的影响

在波前编码技术中,通过立方相位板的光学调制和后续图像处理,扩展了系统景深.其中系统的光学调制过程,可以用广义光瞳函数描述.系统的广义光瞳函数描述了光通过立方相位板后相位的变化过程.立方相位板是波前编码技术的关键器件,装配及加工误差直接影响系统的成像性能.本文通过推导不同误差情况下的广义光曈函数,得到了立方相位板装配及加工误差对点扩散函数(PSF)和调制传递函数(MTF)的变化规律.评估这些规律,得到了装配和加工误差对系统成像性能的变化规律,为装配和加工过程提供了基本的指导.文中分析了不同装配误差和加工误差对于系统性能的影响,其中围绕Z轴的装配误差和加工中振动引起的正弦形状误差对于MTF的影响最大.因此,在装配和加工中应尽量避免围绕Z轴的装配误差和正弦形状误差,正弦形状误差的PV值应保持在0.5μm之内.     

自适应光学系统中变形镜和波前传感器共轭位置要求的分析

通过对几何光学和物理光学模型的数值计算,分析了自适应光学系统中小像差畸变波前在空间自由传播时自身的变化情况,进而给出了系统中对变形镜和波前探测器与被校正瞳面之间共轭位置关系的要求和允许范围.结果表明,波前自由传播时的变化程度决定于像差自身的类型和大小、光束的口径以及传播的距离,大口径小像差波前近距离传播时波前变化误差很小.一般来说,变形镜和波前传感器偏离被校正瞳面共轭位置距离满足菲涅尔数大于1000时,对系统校正效果的影响可以忽略.实际应用中,应该根据校正对象的特征来具体计算波前误差随传播距离的变化,从而设计波前传感器和变形镜的位置,以及选择使用4F光学系统.本文的分析可以为自适应光学系统的整体光路设计提供一定理论参考.     

非球面人工晶体设计及其光学性能研究

提出了非球面人工晶体的设计思路及方法,即根据个体人眼的角膜地形图,将其转换为波前图,获得Zemike系数Z40(球差)项,在该球差值基础上设计并得到非球面人工晶体结构参数.对植入9.5D和20.5D人工晶体的两实际患眼成像质量的模拟分析表明:以本丈方法设计的非球面人工晶体在对人眼系统的MTF,对比敏感度及离焦MTF的改善上都明显优于传统的球面人工晶体,光学性能良好.本文为非球面人工晶体的设计提供了切实可行的方法,并为其在临床上应用提供了一定的理论基础.     

泽尼克像差组合对人眼光学质量的影响

基于人眼光学质量客观评价标准区域调制传递函数（AreaMTF）、斯特列尔比（SRX）和同心相对瞳孔平面（PFWc）,分析了波前像差RMS为0．25μm时泽尼克像差项组合对人眼光学质量的影响。C4（离焦）与C12（球差）等组合后,像差比例在1．33到4．90的范围内AreaMTF和SRX有极大值;C6（三叶草）与C7（彗差）等组合后,像差比例在0．20到1．00的范围内它们有极小值。二阶像差（离焦和像散）组合时,C4（离焦）起着主导作用。三阶像差（彗差和三叶草）组合时,SRX和PFWc值的变化范围均较大,分别为0．066到0．228和0．048到0．656。     

人眼明度视觉对比敏感度特性测量

目的 研究人眼明度视觉感受野“中心-周边”的拮抗特征。方法 设计心理物理实验,测量视觉感知颜色空间CIELAB明度轴上5个明度样本在11个空间频率上的对比敏感度数据;分别采用一元分析法和主成分分析法对实验采集数据进行分析,对比不同明度视觉、空间频率以及对比敏感度阈值之间的函数关系。结果 一元分析表明,5个明度样本的对比敏感度曲线表现为带通特性,明度值越高带通特性越明显;主成分分析表明,以前2个主成分为新变量,可描述人眼视觉感受野特性。结论 人眼视觉在低频1~6 cpd时表现出了“中心-周边”环绕的阶调传递特征;在高频时人眼明度CSF与亮度CSF相似,随着空间频率的升高,人眼视觉对比敏感度降低。     

圆孔阵列对“猫眼”目标成像质量的影响分析

利用圆孔阵列光强调制作用可以有效减弱光学窗口的“猫眼”效应,同时也会对“猫眼”目标成像质量产生一定不利影响.考虑到利用调制传递函数(MTF)可对光电仪器成像质量进行综合评价,分别给出了测试望远系统和微光夜视系统MTF的数学模型,利用自行研制的光学仪器MTF数字化检测系统,实现了这两种典型“猫眼”目标MTF的数字化检测.结果表明,圆孔阵列在全空间频率上均使“猫眼”目标的MTF有所下降,且孔径较小、孔阵较密的圆孔阵列对“猫眼”目标MTF的影响较小,这为合理设计圆孔阵列结构以减小对“猫眼”目标成像质量的影响提供了可靠的实验数据.     

CMOS APS图像传感器的像质分析

使用标准CMOS制作工艺生产的有源像素传感器（APS）引起了广泛关注。为了确定CMOS APS成像系统设计的主要参数选择的正确性,以及能否满足要求或指标,需要对相机系统的像质进行分析。考虑到CMOS APS图像传感器与CCD的不同,在分析时计算了CMOS APS成像系统中的镜头、滤光片和焦平面的调制传递函数（MTF）,系统MTF曲线为各个部分MTF值之积。在系统截止频率范围内,利用MTF曲线所围面积的大小来评价系统的成像质量。在系统制造之前,用调制传递函数作为像质的评价方法,看其是否符合使用要求,是十分有价值的工作。     

Hartmann-Shack technique and refraction across the horizontal visual field

We compared refractions across the horizontal visual field, based on different analyses of wave aberration obtained with a Hartmann-Shack instrument. The wave aberrations had been determined for 6-mm-diameter pupils up to at least the sixth Zernike order in five normal subjects [J. Opt. Soc. Am. A 19, 2180 (2002)]. The polynomials were converted into refractions based on 6-mm pupils and second-order Zernike aberrations (6 mm/2nd order), 3-mm pupils and second-order aberrations (3 mm/2nd order), 1-mm pupils and second-order aberrations (1 mm/2nd order), and 6-mm pupils with both second- and fourth-order aberrations (6 mm/4th order). The 3-mm/2nd-order and 6-mm/2nd-order refractions differed by as much as 0.9 D in mean sphere on axis, but the differences reduced markedly toward the edges of the visual field. The cylindrical differences between these two analyses were small at the center of the visual field (<0.3 D) but increased into the periphery to be greater than 1.0 D for some subjects. Much smaller differences in mean sphere and cylinder were found when 3-mm/2nd-order refractions and either the 1-mm/2nd-order refractions or the 6-mm/4th-order refractions were compared. The results suggest that, for determining refractions based on wave aberration data with large pupils, similar results occur by either restricting the analysis to second-order Zernike aberrations with a smaller pupil such as 3 mm or using both second- and fourth-order Zernike aberrations. Since subjective refraction is largely independent of the pupil size under photopic conditions, objective refractions based on either of these analyses may be the most useful.     

Statistical variation of aberration structure and image quality in a normal population of healthy eyes

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.     

大景深相位模板的个性化设计

从大景深成像系统实际所需要的景深、分辨率以及最小调制传递函数MTF响应值出发,本文建立了相位模板的个性化优化设计模型.在设计景深、分辨率范围内,以保证系统的MTF值大于设定的最小MTF响应值为优化限制条件,以不同离焦对应的光学传递函数的Fisher信息的积分作为优化目标函数.对波前编码系统的立方相位模板CPM和指数相位模板EPM进行了几组优化设计.同时,给出了后续的图像复原滤波器表达式.结果表明,得到的个性化相位模板和图像复原的结合,能够满足系统的实际需求,系统总的传递函数接近衍射受限系统的传递函数.     

Dynamics of the eye's wave aberration

It is well known that the eye's optics exhibit temporal instability in the form of microfluctuations in focus; however, almost nothing is known of the temporal properties of the eye's other aberrations. We constructed a real-time Hartmann-Shack (HS) wave-front sensor to measure these dynamics at frequencies as high as 60 Hz. To reduce spatial inhomogeneities in the short-exposure HS images, we used a low-coherence source and a scanning system. HS images were collected on three normal subjects with natural and paralyzed accommodation. Average temporal power spectra were computed for the wave-front rms, the Seidel aberrations, and each of 32 Zernike coefficients. The results indicate the presence of fluctuations in all of the eye's aberration, not just defocus. Fluctuations in higher-order aberrations share similar spectra and bandwidths both within and between subjects, dropping at a rate of approximately 4 dB per octave in temporal frequency. The spectrum shape for higher-order aberrations is generally different from that for microfluctuations of accommodation. The origin of these measured fluctuations is not known, and both corneal/lenticular and retinal causes are considered. Under the assumption that they are purely corneal or lenticular, calculations suggest that a perfect adaptive optics system with a closed-loop bandwidth of 1-2 Hz could correct these aberrations well enough to achieve diffraction-limited imaging over a dilated pupil.     

Effect of aging on the monochromatic aberrations of the human eye.

We measured the contrast sensitivity (CS) of a group of older subjects through natural pupils and compared the results with those from a group of younger subjects. We also measured each subject's monochromatic ocular wave-front aberrations using a crossed-cylinder aberroscope and calculated their modulation transfer functions (MTF's) and root-mean-squared (RMS) wave-front aberrations for fixed pupil diameters of 4 mm and 6 mm and for a natural pupil diameter. The CS at a natural pupil diameter and the MTF computed for a fixed pupil diameter were found to be significantly poorer for the older group than for the younger group. However, the older group showed very similar MTF's and significantly smaller RMS wave-front aberrations compared with the younger group at their natural pupil diameters, owing to the effects of age-related miosis. These results suggest that although monochromatic ocular wave-front aberrations for a given pupil size increase with age, the reduction in CS with age is not due to this increase.     

Wave-front aberrations in the anterior corneal surface and the whole eye

In order to investigate the sources of wave-front aberrations in the human eye, we have measured the aberrations of the anterior cornea and the whole eye using a topographic system and a psychophysical wave-front sensor. We have also calculated the aberrations for the internal optics of both eyes of 45 young subjects (aged 9 to 29 years). The mean rms for the anterior cornea was similar to that for the internal optics and thewhole eye when astigmatism was included, but less than that for both the internal optics and the whole eye with astigmatism removed. For eyes with low whole-eye rms values, mean rms for the anterior cornea was greater than that for the whole eye, suggesting that the anterior corneal aberration is partially compensated by the internal optics of the eye to produce the low whole-eye rms. For eyes with larger whole-eye rms values, the rms values for both the anterior cornea and the internal optics were less than that for the whole eye. Thus the aberrations for the two elements tend to be primarily additive. This pattern exists whether or not astigmatism was included in the wave-front aberration rms. For individual Zernike terms, astigmatism and spherical aberration in the anterior cornea were partially compensated by internal optics, while some other Zernike terms showed addition between the anterior cornea and internal optics. Individual eyes show different combinations of compensation and addition across different Zernike terms. Our data suggest that the reported loss of internal compensation for anterior corneal aberrations in elderly eyes with large whole-eye aberrations [J. Opt. Soc. Am. A 19, 137 (2002)] may also occur in young eyes.