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。     

角膜手术后眼模型的构建和人工晶状体设计

根据角膜屈光手术前的角膜地形图、眼内各组分的轴向间距和波前像差,运用ZEMAX光学设计软件,构建了术前的个性化眼模型.结合角膜屈光手术后实际测量的波前像差,建立了术后个性化眼模型.运用该模型,为角膜屈光手术眼设计了双球面人工晶状体.研究表明:对于角膜屈光手术后人眼,用术后个性化眼模型计算的人工晶状体度数可靠.该模型还能够为术后眼设计矫正像散和其他高阶像差的人工晶状体,同时可以用来评估角膜手术联合白内障术后人眼的光学性能,以及手术中各类偏差对视觉质量的影响.     

用特殊眼模型研究人眼像差与色差对视觉的影响

在光轴和视轴不重合的眼球模型中,设计了一种仅消轴向色差(LCA)而保持横向色差(TCA)不变的元件,建立了仅有TCA的眼模型。进而将实测的人眼高阶像差数据沿视轴方向引入眼模型,用以研究色差和高阶像差的相互作用。建立了三款个性化眼球模型,研究了明视觉状态下高阶像差、色差(LCA+TCA)、LCA和TCA对视觉的影响以及它们之间的相互作用。结果表明:对于多数人眼,色差对视觉的影响远大于高阶像差的影响,并且色差的存在进一步抑制了高阶像差的影响。在色差对视觉的影响中,LCA是具有统治地位的因素;对于多数人眼,TCA的影响可以忽略。     

超视力人眼模型的研究

超视力人眼模型对充分发掘人眼视力达到“鹰视”具有重要意义。用Zernike多项式描述角膜前表面，用渐变折射率描述晶状体的折射率分布，同时考虑人眼视轴和光轴的夹角对成像的影响，利用光学设计软件Zemax建立了人眼超视力模型。将Zernike条纹矢高面应用到人眼模型中，能有效改变视轴方向(即5°视场)的成像质量，提高点扩散函数（PSF）值。采用晶状体渐变折射率符合人眼的实际解剖结构，可有效减小人眼像差。通过分析人眼极限分辨能力和人眼模型波像差，得出当空间频率为60周期/度时，该模型对目标高频细节感知的调制度可达到0.55。     

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%.     

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.     

单轴晶体的光程差和Lyot型滤光器的视场

 建立了以光线入射方向和晶体光轴方向为基准的入射坐标系，利用波法线反曲面方程和电磁场在晶体折射界面处切向分量连续性的边界条件，得到了晶体中波法线方向、射线方向、波法线折射率和射线折射率的表达式。从非常光的射线方向和射线折射率出发，得到了在任意的晶体光轴方向和入射角条件下，光通过单轴晶体后寻常光、非常光的光程差表达式。对Lyot型滤光单元的透射率和视场进行了计算分析后发现，滤光单元的透射率随光线入射角的变化呈现一定的周期性，视场随光轴倾角的增大而减小。得出了透射率和视场随光轴倾角(光轴与晶体表面的夹角)和光线入射角(光线在晶体表面的入射角)的变化规律。讨论了通过改变晶体倾角实现滤光器调谐和补偿晶体厚度加工误差等技术问题。     

基于个体眼光学结构的波前眼镜设计

提出一种在个体眼光学结构基础上根据波前数据设计波前眼镜的新方法。建立了个性化的眼光学结构,并将眼球和镜片视为统一的镜一眼光学系统,用光学设计的优化方法给出镜片的结构数据,并分析了±7°视场和眼球旋转±20°时,该镜一眼系统的成像情况。与波前拟合的方法相比,该方法设计的波前眼镜离焦差为（-0．057±0．015）m^-1,像散差为（0．015±0．013）m^-1散光轴位差为（0．100±0．316）°。镜一眼系统的矫正视力均大于1．25,其中8只被试眼的视力可达1．5以上。10只被试眼在转动±20°情形下的0°视场成像相比于直视的情况均略有下降,而7°视场的成像质量相比于直视的情况下降则更为明显。由该方法给出的验光结果客观可信,可用于对佩戴波前眼镜后人眼的视觉质量的预先评估。     

人眼波前像差的动态特性研究

人眼波前像差随时间涨落会引起人眼光学性能和视觉功能的改变.采用改进的HartmannShack波前传感器人眼像差仪对10只屈光度为0D~-5.0D、直径为3mm和6mm的人眼瞳孔的波前像差进行测量,其中每只人眼在5s内连续测量125次,测量频率为25Hz.为确定测量过程中是否引入人为像差,对人造眼3mm和6mm瞳孔的动态波前像差进行测量比对.结果表明:所测量的10只人眼3mm和6mm瞳孔总的Zernike波前像差均方根涨落幅度的平均值分别为0.087μm和0.105μm,均大于Marechal衍射极限;Zernike第3阶到第7阶波前像差均方根涨落幅度随像差阶数的递增而下降,涨落幅度为0.06~0.02μm;人眼波前像差的涨落频率达6Hz.     

用于人眼视网膜成像照明的激光消散斑技术研究

以近红外激光(808 nm)作为人眼波前像差探测的信号光和视网膜成像的照明光,液晶空间光调制器(LCOS)作为波前校正器,用哈特曼波前探测器探测人眼像差,构建了人眼像差自适应校正的视网膜成像系统.利用模拟眼分析了激光散斑对相机成像的影响和对哈特曼波前探测器进行像差探测的影响,同时验证了利用旋转散射体的方法消除激光散斑的可行性和有效性;用活体人眼进行了激光消散斑前后照明视网膜进行成像的对比实验,并进一步利用自适应光学技术实现了对人眼像差的动态校正和视网膜细胞的连续成像.校正后,系统波前像差的均方根值小于0.1λ.实验表明激光消散斑后可以同时作为人眼像差探测的信号光和视网膜成像的照明光,从而可以进行连续自适应校正和成像.     

A new method to calculate corneal ablation depth based on optical individual eye model

The corneal shape, axial lengths and the wavefront aberrations of the eye were all considered to calculate the ablation depth based on the individual eye model. The optimization method for the curves surface replaced the direct calculation from only the optical path difference method (OPD). We analyzed the eye's optical system on its exit pupil and offered the optimum corneal anterior surface. And the ablation depth was the difference between the pre- and post-optimization along the optical axis of the eye. In our experiment, the maximum ablation depth decreases by 8.5% and the mean ablation depth decreases by 8.2% compared with the OPD method.     

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。     

泽尼克各项像差对人眼光学质量的影响

基于两个人眼光学质量客观评价标准同心相对瞳孔平面(PFWc)和区域调制传递函数(Marea MTF),研究和分析了波前像差均方根值WRMS处于0.05~1.00μm较大范围内泽尼克各项像差对人眼光学质量的影响。分析结果表明,泽尼克各项在WRMS一定时,瞳孔中心区域的光学质量差距明显,离焦(C4)和球差(C12)项的MPFWc值最小,而五叶草(C15、C20)项的MPFWc值最大。五叶草项在WRMS值处于0.05~1.00μm的范围内,其Marea MTF值均大于0.94,表明该像差项对光学质量的影响可以忽略。MPFWc值和Marea MTF值随着WRMS值的增大而减小,但不是简单的线性关系,随着WRMS值的增大,它们的变化趋于平缓。各项泽尼克像差对人眼光学质量的影响存在较大差别,对人眼光学质量的影响从大到小依次为:球差、离焦、散光、彗差、三叶草、四叶草、五叶草等。     

The study of wavelength-dependent wavefront aberrations based on individual eye model

Theoretical calculations of the wavelength dependence of the ocular wavefront aberrations are performed with individual eye model. Individual eye model, based on the traditional Gullstrand-Le Grand eye model, has been established with measured individual cornea data, eyeball depth and wavefront aberrations. We analyze the wavelength-dependent wavefront aberrations at 12 different visible wavelengths (between 400 and 750 nm) for eight eyes. The change of defocus with wavelength (longitudinal chromatic aberration, LCA) is noticeable, and in good agreement with the results from references. In most cases, the primary spherical aberration changes significantly with wavelength. In comparison with the primary spherical aberration, the other higher-order wavefront aberrations have a smaller change with wavelength. These results have potential applications in those situations where defocus or higher-order wavefront aberrations information in arbitrary wavelength is required.     

Studies of transverse chromatic aberration based on individual eye model

Two kinds of individual eye models, with and without involving the angle between visual axis and optical axis, are constructed according to the measurements of the corneal surfaces, the optical axis lengths and wavefront aberrations. The constructed eye models are then used to investigate the properties of the transverse chromatic aberration (TCA) and its influence on visual performance. The statistical distributions of the horizontal TCA, vertical TCA and the absolute magnitude of the TCA over the spectrum from 470 to 650 nm are provided, respectively. The variations of TCA with wavelength as referring to the central wavelength of 555 nm for five subjects are also provided. Then we evaluate the impact of TCA on image performance in comparison with longitudinal chromatic aberration (LCA). It is shown that LCA is more detrimental than foveal TCA in image quality. It is found that, while LCA was corrected well, the foveal TCA is simultaneously corrected. Finally, we investigate the correction of peripheral TCA with an achromatizing element. The correction of peripheral TCA of human eye strongly depends on the location of the achromatizing element, and with the element in front of the eye, the peripheral TCA cannot be corrected.     

Individual eye model based on wavefront aberration

Based on the widely used Gullstrand-Le Grand eye model, the individual human eye model has been established here, which has individual corneal data, anterior chamber depth and the eyeball depth. Furthermore, the foremost thing is that the wavefront aberration calculated from the individual eye model is equal to the eye's wavefront aberration measured with the Hartmann-shack wavefront sensor. There are four main steps to build the model. Firstly, the corneal topography instrument was used to measure the corneal surfaces and depth. And in order to input cornea into the optical model, high-order aspheric surface-Zernike Fringe Sag surface was chosen to fit the corneal surfaces. Secondly, the Hartmann-shack wavefront sensor, which can offer the Zernike polynomials to describe the wavefront aberration, was built to measure the wavefront aberration of the eye. Thirdly, the eye's axial lengths among every part were measured with A-ultrasonic technology. Then the data were input into the optical design software–ZEMAX and the crystalline lens's shapes were optimized with the aberration as the merit function. The individual eye model, which has the same wavefront aberrations with the real eye, is established.