LASIK手术对人眼波前像差的影响

采用主观光线追迹的像差仪测量人眼波前像差,比较3mm和6mm 瞳孔直径下,LASIK手术前与术后四个月的29只人眼波像差情况.数据比较分析表明,手术后人眼高阶像差一般会大于术前,且像差增大量随术前屈光度数的增大和瞳孔直径的增大而增加,如3 mm瞳孔直径下86%的人眼高阶像差的RMSH<0.12 μ,>0.4μ.比较人眼波像差的Zernik展开式中各项发现球差Z04无论在3 mm还是6 mm孔径下术后改变都最大;其中,当比较3阶,4阶和5至7阶时可看出对于3 mm孔径第三阶术后改变比例较大,为1.87,6 mm时第四阶改变较大,比例为2.21.     

人眼大视场波前像差特性研究

应用改进的Hartmann-Shack波前传感器人眼像差仪,测量了5只5.2 mm瞳孔的正常眼,向鼻侧和颞侧两个水平方向50°视场角Zernike第二级到第十级的波前像差. 视场角从鼻侧和颞侧两个水平方向从0°增大到50°时,Zernike第三级波前像差的rms值平均增大2倍;Zernike第四级波前像差的rms值平均增大1.8倍;Zernike第五级到第十级波前像差的rms值平均增大1.7~1.3倍.     

基于个体眼光学结构的角膜与晶状体的像差补偿

研究角膜对晶状体波前像差的影响对现行的个性化视觉矫正手术有-定的参考价值.运用光学设计软件Zemax,根据个体人眼的角膜地形图、眼内各部分轴向间距和全眼波前像差数据,为22只人眼构建了个体眼光学结构.基于个体眼光学结构和衍射光学理论计算了眼内、外不同位置处的波前,获得了角膜对晶状体波前像差的影响.结果表明,角膜和品状体像差存在补偿和叠加两种关系.大多数眼睛,角膜对晶状体像差有一定补偿作用.总体像散的均方根(RMS)值比品状体像散的RMS值减小0.08～1.48μm,相当于10.1%～77.5%.总体高阶像差的RMS值比晶状体高阶像差的RMS值减小了0.06～0.85 μm,相当于3.8%～79.4%,平均减小了50.7%.其中,球差和彗差的Zernike系数绝对值总体比晶状体分别减小了0.02～0.60μm和0.01～0.39μm,相当于4.3%～98.4%和2.5%～91.4%.     

高频采样下人眼波像差特性研究

为提高自适应光学人眼波像差校正和视网膜成像效果,研究了人眼动态波像差的特性。利用采样频率为300Hz、曝光时间为3ms的哈特曼传感器,搭建波像差探测系统。误差分析和模拟人眼实验表明,该系统对动态波像差的测量误差均方根(RMS)均值仅为0.01λ。人眼波像差探测结果表明,人眼存在150Hz以上的波像差,可能对自适应波像差校正造成影响。这种影响可通过延长探测和成像曝光时间的方法来抑制。为了达到衍射极限,对于稳定盯视状态下的人眼,3ms探测曝光、探测校正周期不超过45ms的自适应系统,其校正残差均方根在λ/14以下;当曝光时间增加到6ms时,该周期可放宽至62ms。研究了倾斜像差的波动对成像的影响,确定了高分辨率人眼眼底成像中,成像曝光时间最长不能超过9ms。上述结果表明,将自适应光学视网膜成像的探测曝光与成像曝光时间均定在6ms左右,可获得更好的校正和成像效果。     

基于主观式测量人眼波前像差的眼模型研究

通过主观式光线追踪波前像差测量方法得到用Zernike系数描述的人眼波前像差;在Gullstrand-Le Grand眼模型的基础上,引入用医用角膜地形图仪测量并用高次非球面函数拟合的实际人眼角膜形状数据,又引入角膜、前房及玻璃体厚度等个体化的眼结构参数;在光学建模软件Zemax中用所测Zernike系数建立评价函数,并对用Zernike矢高面描绘的晶状体表面进行优化.由此建立了个体化眼模型,并由此模型中可以计算得到与实际测量的波前像差值完全相同的各项Zernike系数值,从而可用于描述实际人眼的光学特性.     

几何光学 像差、像质评价

O435．2 2005053232 人眼不同瞳孔直径波前像差特性分析=Property analysis of wavefront aberration of different human eye’s pupils [刊,中]／徐高平(中科院光电所．四川,成都(610209)),徐 翔…∥光电工程．-2005,32(7)．-38-41 采用Hartmann-Shack人眼像差仪．测量了人眼在3．1 mm,5．2 mm和6 mm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3．1 mm时相比,瞳孔直径为 6 mm和5．2 mm时,Zernike 2～10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3．1 mm,5．2 mm和6 mm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。图4参7(于晓光)     

基于个性化人眼模型的大视场波像差特性的研究

大视场波前像差对人眼光学系统的影响不容忽视。运用Zemax光学设计软件分别为8只正常人眼构建了个性化的人眼模型,该人眼模型由实际测量的人眼波前像差数据、角膜地形数据及眼内各部分轴向间距数据优化得来,与个体人眼具有相同的光学特性。在此基础上,分析了人眼颞侧方向0°,10°,20°,30°,40°,50°视场的离轴像差随视场角的变化趋势,得出边缘视觉比中央视觉质量差主要来源在于像散与彗差。四阶以上的高阶像差随着视场角的改变,变化不大。将个性化人眼模型计算得到的大视场波前像差值与用哈特曼夏克(Hartmann-Shack)波前传感器实际测量得到的人眼像差值相比较,两者结果相吻合。     

一种新型人眼波前像差测量补偿系统的研究

离焦是人眼中最主要的像差之一,离焦量过大会严重影响人眼波前像差的测量及矫正精度。为了消除离焦在此方面带来的影响,设计了带有补偿装置的人眼波前像差测量及矫正系统。重点分析了该系统的原理、结构和工作流程。运用Hartmann-Shack波前传感器测量了人眼波前像差,并使用变形反射镜对人眼波前像差进行矫正。对模拟人眼矫正离焦前后的光斑点阵图和波前三维重构图进行了对比分析。研究表明,通过离焦补偿系统对模拟人眼的离焦量进行矫正,使被测量人眼的离焦量由2.020D和-2.035D分别减小到0.011D和-0.007D;通过调焦系统,使显示器上显示出的人眼光斑点阵图由模糊变清晰,提高了信标光在人眼眼底的成像质量。     

眼波前像差仿真实验研究

像差是衡量光学仪器成像质量的主要指标,在眼科临床波前像差检测对视觉质量评估具有重要作用。本文介绍了波前像差的基本理论,基于Zernike多项式通过仿真分别给出人眼1-4阶共14项波前像差图,可为教学服务,也可为临床医师提供科学参考。     

人眼的高级像差对视功能的影响

准确测量和分析人眼的高级像差有助于更好地改善视觉,具有重要的实验和临床意义。测量了实际人眼的波前像差,分析了高级像差对人眼视功能的影响。像差数据由哈特曼-夏克（Hartmann-Shack）波前传感器分别对不同瞳孔的人眼进行测量而获得,视功能的评价方法采用了调制传递函数（MTF）、对比敏感度函数（CSF）、斯特雷尔（Strehl）比率。由人眼的波前像差数据和视网膜空间像调制度（AIM）曲线直接给出了视锐度值与对比敏感度值。矫正了离焦与像散后．被测者的平均视锐度值达到了1．0,对比敏感度在低频（20c／mm）处约为52,高频（80c／mm）处约为1;矫正了前4阶像差后,平均视锐度值可提高到1．2,对比敏感度在低频（20c／mm）处提高到96,高频（80c／mm）处提高到7。实际人眼各不相同,达到理想成像需矫正高级像差的阶数也不同。矫正了前九阶像差后,均可达到理想成像,斯特雷尔比率值大于0．8。     

A different algebraic method for the fifth-order combined geometric-chromatic aberrations of practical magnetic electron lenses

In this paper, differential algebraic (DA) method is applied to fifth-order combined geometric-chromatic aberrations of practical magnetic electron lenses. The magnetic fields of magnetic electron lenses, which are computed by FEM or FDM method, are in the form of discrete arrays. Thus the developed new DA method is applicable to engineering design and programs were written for computing the fifth-order combined geometric-chromatic aberrations of practical magnetic electron lenses. An example is given. The combined geometric-chromatic aberrations up to fifth order are calculated. It is proved that the numerical results for the magnetic fields in the form of discrete arrays have good accuracy compared with the results computed by using the magnetic fields expressed in analytical form. The accuracy is limited only by the accuracy of the numerical computation of the fields and the arithmetic errors. Finally, a practical magnetic electron lens is analyzed and discussed as an example.     

Polychromatic Gaussian beams emitted by dispersive laser resonators

In-vacuum propagation of a polychromatic Gaussian beam emitted by a dispersive laser resonator and its passage through thin plates are studied under following assumptions: optical fields are stationary and plane-polarized, the paraxial wave equation is valid for each monochromatic component of the beam, the waist position and the Rayleigh range depend on wavelength and diffraction edge effects are negligible. Mathematical expressions for beam radius, divergence, beam parameter product and beam propagation factor are obtained. The use of thin plates for waist position achromatization is analyzed.     

Analysis of pupil and corneal wave aberration data supplied by the SN CT 1000 topography system

Ocular aberrations depend on pupil size and centring and the retinal image quality under natural conditions differs from that corresponding to laboratory ones. In the present article, pupil and wave aberration data supplied by the Shin Nippon CT 1000 (SN CT 1000) topography system are analysed. Two groups of eyes under natural viewing conditions are considered ((260±20) lux at the eye under study). The first group consists of 10 normal eyes (−1.25 to 3 D sphere; 0 to −1.75 D cylinder) of five young subjects (age between 18 and 33 years). For this group, five determinations per eye are performed and the repeatability of results is analysed. Pupil centre is displaced from corneal vertex towards the temporal region, the largest displacement being (0.5±0.1) mm. The variation of pupil diameter in each eye is less than 21% while the inter-subject variability is large since diameters are between (3±0.3) and (5.3±0.6) mm. Aberrations are evaluated for two different pupil sizes, the natural one and a fictitious one of 6 mm. The corneal higher-order root-mean square wavefront error (RMS_HO) for a 6 mm pupil centred in the corneal vertex, averaged across all eyes, is (0.37±0.06) μm while, considering the natural pupil diameter, the average in each eye is significantly lower, up to eight times smaller. The fourth-order spherical aberration is an important aberration in the considered eyes, its maximum value for a 6 mm pupil being (0.38±0.02) μm. The second group consists of 24 eyes of 12 subjects (age between 25 and 68 years) such that four eyes are of normal adults (1.25 to +6 D sphere; 0 to −0.5 D cylinder), eight have astigmatisms (−5.5 to +3.25 D sphere; −1.5 to −4.5 D cylinder), six have post-refractive surgery (+0.5 to +3.5 D sphere; −0.5 to −4 D cylinder) and six have keratoconus (−9.5 to +1 D sphere; −1 to −4.5 D cylinder). For this group only one determination per eye is performed. Pupil centre is displaced from corneal vertex towards the temporal region except in cases of keratoconus, where there can be a dominant upwards displacement. Pupil diameters are between 2.7 and 5.6 mm. The corneal higher order root mean square wavefront error for a 6 mm pupil ranges between 0.3 (normal eye) and 5.3 μm (keratoconus).     

Monte Carlo simulations on corneal and total aberrations before and after LASIK

Previous Monte Carlo simulations which manipulate each Zernike coefficient of total aberrations of human eyes indicate that interactions among wave-front aberrations can provide better visual quality for both pre-LASIK eyes and post-LASIK eyes. In this paper, we go a step further for Monte Carlo simulations which are not only on total aberrations but also on corneal aberrations, before and after LASIK, for a set of eyes. The corneal aberrations after LASIK are acquired through a new reliable method. Then a series of Monte Carlo simulations (including sign simulation, value simulation and meridional simulation) are performed by manipulating each Zernike coefficient (second through sixth-order) of total aberrations as well as corneal aberrations. The results are evaluated by modulation transfer function (MTF) ratio. Total aberrations for post-LASIK eyes still show MTF advantage over randomized aberrations, with slightly change as compared to that for pre-LASIK eyes. However, true corneal aberrations before and after LASIK have no MTF advantage over random aberrations. From this research, we draw conclusions: there is apparent advantage for the complete eye's true aberrations over random aberrations, whether pre-LASIK or post-LASIK, which does not exist for any biological optical surfaces in isolation, and the ability of adaptive mechanism of human eyes, increases after LASIK.     

成像电子光学系统空间和时间像差的根半径(RMS)研究

在成像电子光学系统中,均方根半径不仅可以表示系统的时间和空间分辨率特性,而且可以作为计算调制传递函数的一个辅助评价指标,具有计算量小,直观方便等优点.研究和推导了成像电子光学系统中逸出光电子的初角度为朗伯分布,初能量分别为余弦分布、贝塔分布和麦克斯韦分布下的系统时间和横向像差的均方根半径表达式,求解了不同初能分布下的时...     

激光原位角膜磨镶手术后不良症状的光学分析

测量了准分子激光原位角膜磨镶(LASIK)手术后人眼的单色像差。并根据术后症状,将所有数据分类为视物星芒状组、单眼复视组、视物雾状组和参考组。视物星芒状组和视物雾状组的三阶和四阶泽尼克(Zernike)像差的均方根(RMS)值明显大于无症状的参考组。术后有不良症状各组的人眼的调制传递函数(MTF)明显低于参考组的调制传递函数。在明视觉条件下,四阶像差特别是对称性的泽尼克球差,对调制传递函数的影响大;而在暗视觉条件下,三阶像差特别是非对称性的泽尼克彗差对调制传递函数的影响大。四阶以上的高阶像差对各有症状组的调制传递函数曲线有影响,而这些高阶像差对参考组的调制传递函数已无明显影响。像差的均方根值和调制传递函数曲线是研究术后不良症状的较有效光学手段。     

Paraxial imaging electron optics and its spatial-temporal aberrations for a bi-electrode concentric spherical system with electrostatic focusing

The paraxial solutions play an important role in studying electron optical imaging system and its spatial-temporal aberrations, as was discussed in previous paper [1], but investigation of a bi-electrode concentric spherical system with electrostatic focusing directly from paraxial electron ray equation and paraxial electron motion equation has not been done before. In this paper, we shall use the paraxial equations to study the spatial-temporal trajectories and their aberrations for a bi-electrode concentric spherical system with electrostatic focusing.In the present paper, start from the paraxial ray equation and paraxial motion equation, the paraxial spatial-temporal trajectory of moving electron emitted from the photocathode has been solved for a bi-electrode concentric spherical system with electrostatic focusing. The paraxial static and dynamic electron optics, as well as the paraxial spatial-temporal aberrations in this system are then discussed, the general regularity of imaging in paraxial optical system has been explored. The paraxial spatial aberrations, as well as the paraxial temporal aberrations with different orders, have been defined and deduced, that are classified by the order of (?_z/?_ac)^1/2 and (?_T/?_ac)^1/2. Thus we get same conclusions about paraxial spatial and temporal aberrations as we have given in the previous paper and it completely shows that the paraxial spatial-temporal aberrations can be investigated directly from the paraxial ray equation and paraxial motion equation.     

Effect of primary aberrations on transverse displacement of laser speckle patterns

The effect of primary aberrations on the transverse displacement of laser speckle patterns in the real image plane due to transverse displacement of an object is studied in the approximation of Fourier optics. Primary aberrations cause: (i) a complementary displacement of the speckle pattern; and (ii) its decorrelation. The main features of complementary displacements are as follows: (a) the overall complementary displacement is the sum of complementary displacements caused by each one of the primary aberrations; (b) the complementary displacement caused by the spherical aberration is uniform in the image plane; (c) spherical aberration and curvature of field cause complementary displacements that are parallel to the object's displacement; (d) the complementary displacement caused by distortion is always zero on the optical axis; (e) the complementary displacement caused by distortion is free of decorrelation; (f) complementary displacements are non-proportional to the object's displacement; and (g) complementary displacements depend on the position of the illuminating source with the exception of the complementary displacement caused by distortion.