Detection of wave aberrations in the human eye using a retinoscopy-like technique

The influence of optical aberrations on the retinoscopic reflex is theoretically analyzed from a geometrical point of view. The relationship between the wave aberrations to the ray aberrations is applied to explain the appearance of the retinoscopic patterns for different types of ocular aberrations. Several schematic models of the human eye are tested numerically, showing that a careful retinoscopic examination can detect the usual eye aberrations.     

Optical aberrations of the cornea and the crystalline lens

The wave-front aberrations of the anterior corneal surface, the posterior corneal surface and the complete eye have been measured by a corneal topographic system (Orbscan II) and a Hartmann-Shack wave-front sensor. We have calculated the aberrations for both the corneal surfaces with the discrete set of corneal elevation data, and with which to acquire the aberrations of the whole cornea. The aberrations of the crystalline lens are calculated by subtracting the aberrations of the cornea from that of the complete eye. The aberration combination between the anterior and the posterior corneal surface, between the cornea and the crystalline lens is complicated, either compensation or addition. For individual Zernike terms, astigmatism and quatrefoil in the anterior corneal surface are added by the posterior corneal surface, while some other terms show compensation between the two surfaces. And for complete eye, astigmatism and spherical aberrations in the cornea are partially compensated by the crystalline lens, and other terms show addition between the two parts. Individual eye shows different combinations of compensation and addition across different Zernike terms.     

Closed-loop adaptive optics in the human eye

We have developed a prototype apparatus for real-time closed-loop measurement and correction of aberrations in the human eye. The apparatus uses infrared light to measure the wave-front aberration at 25 Hz with a Hartmann-Shack sensor. Defocus is removed by a motorized optometer, and higher-order aberrations are corrected by a membrane deformable mirror. The device was first tested with an artificial eye. Correction of static aberrations takes approximately five iterations, making the system capable of following aberration changes at 5 Hz. This capability allows one to track most of the aberration dynamics in the eye. Results in living eyes showed effective closed-loop correction of aberrations, with a residual uncorrected wave front of 0.1microm for a 4.3-mm pupil diameter. Retinal images of a point source in different subjects with and without adaptive correction of aberrations were estimated in real time. The results demonstrate real-time closed-loop correction of aberration in the living eye. An application of this device is as electro-optic "spectacles" to improve vision.     

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.     

An optimization method for fly’s eye integrator

By analyzing how aberrations affect the performance of a fly’s eye integrator, an efficient method to optimize the performance is put forward. A fly’s eye integrator to be used to homogenize the beam of laser diode stack is designed as an example. The optimization method achieves optimized homogeneous illumination by minimizing the aberrations that degrade the homogeneity and transmission efficiency. By this means, it is possible to substitute two spherical lenses for the Fourier lens, which is usually used in a conventional fly’s eye integrator. This helps to reduce the cost without degrading its performance.     

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%.     

Wavefront aberrations in the accommodated human eye based on individual eye model

In this research, we firstly construct individual eye models based on the wavefront and the measured cornea structure of the eyes. Then we analyze the influence of accommodation on the wavefront aberrations based on individual eye model. The individual eye model has the same wavefront aberration as that measured from Hartmann–Shack wavefront sensor. The optical design software ZEMAX is used to construct the individual eye models for 20 normal eyes. Accommodative conditions are from 0 to –4 diopter in steps of one diopter. The variations of the total, the spherical, the coma and the higher-order root-mean-square wavefront aberrations, as accommodations, are illustrated. Influence of accommodation on wavefront aberration varies from individual to individual, and the variation magnitude is independent of the magnitude of the wavefront aberration of the eye.     

Contributions of the cornea and the lens to the aberrations of the human eye

The relative contributions of optical aberrations of the cornea and the crystalline lens to the final image quality of the human eye were studied. The aberrations of the entire eye were obtained from pairs of double-pass retinal images, and the aberrations of the cornea were obtained from videokeratographic data. Third-order spherical aberration and coma were significantly larger for the cornea than for the complete eye, indicating a significant role of the lens in compensating for corneal aberrations. In a second experiment retinal images were recorded in an eye before and after we neutralized the aberrations of the cornea by having the subjects wear swimming goggles filled with saline water, providing a direct estimate of the optical performance of the crystalline lens.     

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。     

用于复色哈特曼人眼波像差测量的折/衍混合调焦系统

设计了一个折/衍混合多色调焦系统,可用于哈特曼波前传感器测量不同波长下人眼的波像差.系统由两片折射透镜和一个二元衍射面构成,焦距调整范围为－200～200 mm.系统性能达到衍射受限,在0.488～0.655 μm波长范围内,焦点色位移小于3 μm.整个系统结构简单、紧凑,同哈特曼波前传感器相匹配,可用于普通人群眼波像差的测量.     

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.     

考虑视轴方向的个性化眼模型的构建

包含更多人眼解剖学特性的个性化眼模型具有重要的实验和临床意义。由角膜地形图计算了8只人眼视轴与光轴之间的夹角,水平分量平均值为4.23°±1.51°,竖直分量平均值为-0.40°±1.27°。根据视轴与光轴之间的夹角、角膜地形数据、眼内各部分轴向间距和人眼波像差,运用光学设计软件Zemax分别为这8只人眼构建了考虑视轴方向的个性化眼模型。在此基础上,计算了波前引导的个性化角膜切削深度,并与光程差方法计算的切削深度进行了比较。在切削光区中心处,两者相差不大,平均值为(0.09±0.04)μm;随着半径增大,两者之间的差值逐渐增大。对于所研究的实例,光区外围处的最大差值为0.59μm。个性化眼模型为设计波前引导的个性化角膜切削方案提供了一个有效工具。     

A tomographic method for diagnosis of human eye aberrations

A new method using modal phase tomography for diagnosis of human eye aberration was elaborated and investigated. The method enabled the separation of the contributions from the individual elements of the eye into summary aberrations. The forms of the radiation wavefronts from several reference sources being formed on the retina of the eye as initial data for analysis were considered. Distortions of every element of the eye were represented as a Tsernike polynomial expansion. In this work, the theoretical basis of the method, numerical investigation and experimental modeling results confirming the efficiency of the method are presented.     

Information fusion method for ocular aberrations measurement based on subjective visual compensation

The human eye is an imperfect refractive system which not only has defocus and astigmatism, but also has spherical aberration, coma and anomalistic high-order aberrations, all of which have certain influence on the imaging quality of retina. What's worse, aberration is further enlarged as a result of mydriasis in dark field and weak light, thus making the vision performance of human eyes far below diffraction limitation. Further research revealed that human eye visual imaging is not only connected with refractive system, but also is closely related to the subjective judgment of human brain and the process of neural system. In order to overcome the deficiencies, wave-front aberration measurement method and system that has subjective visual compensation is proposed and conducted in combination with objective measurement, which ensures more accurate and realistic measuring results. The experimental data revealed that wave-front aberration obtained from subjective visual compensation measuring method is smaller than objective measurement, which is the result of subjects’ adaptive correction when watching sighting targets. In addition, when subjects are watching different sighting targets, the fluctuation value of wavefront aberration is small. Therefore, it is concluded that subjective visual compensation measuring method contributes to aberration measuring improvement and obtains results match with the realistic state by taking into consideration the actual condition of human eyes when watching targets. Hopefully, these discoveries will be of positive and beneficial value to the determination of human eye aberration treatment.     

人眼波前像差主客观测量的信息融合方法

人眼是一个不完善的屈光系统,存在着各种像差,而且视觉不仅与人眼的屈光系统有关,还与主观的判断和神经系统的处理有密切关系.只有主观测量与客观测量相结合,才能得到最佳的视力矫正数据.本文提出了通过信息融合技术把像差的主观测量和客观测量的结果进行融合处理,给出矫正时所需的唯一数据,并通过实验得到了信息融合后的人眼波前像差.     

非球面和梯度折射率在眼光学成象中的作用

在Gullstrand-Le Grand眼模型的基础上,构造不同的眼光学模型,分别研究了角膜非球面、晶状体非球面和昌状体折射率在眼光学成象中的作用.通过比较各模型系统的Zernike标准多项式系数,分析了非球面和梯度折射率对眼光光系统各象差的影响.同时研究了不同模型调制传递函数的特性.     

人眼高阶像差校正和视觉分析系统

人眼除具有可用眼镜或接触镜校正的低阶像差(离焦、像散)之外,还普遍存在高阶像差。高阶像差的存在影响着屈光系统的成像质量。为研究高阶像差对视觉功能的影响,利用自适应光学技术,建立了具有校正高阶像差和产生高阶像差双重功能的人眼高阶像差校正和视觉分析系统。介绍了系统实现高阶像差校正和视觉分析的工作原理;阐述了波前校正器、哈特曼波前探测系统、控制系统等关键单元技术;列出了系统对泽尼克模式像差的校正效果,绝大多数像差从0.5λ降低到0.2λ以下;阐明系统功能的实现过程,并给出仿真实验的结果。该系统为进一步研究高阶像差对视功能的影响提供了有效的手段。     

基于个性化模型的人眼色差对视功能影响的研究

利用光学设计软件Zemax,对人眼色差对视功能的影响进行了研究.对构建的个性化人眼模型进行离焦、像散和高阶像差矫正的模拟.视觉效果的提高受到了色差的很大限制.在中、高空间频率处,自然光下的调制传递函数约为单色光下的50%.在自然光下,传统视觉矫正能够获得1.2的视力,个性化视觉矫正能够获得1.5的视力,还远远达不到人们所期望的超视觉.     

Adaptive optics fundus camera using a liquid crystal phase modulator

We have developed an adaptive optics (AO) fundus camera to obtain high resolution retinal images of eyes. We use a liquid crystal phase modulator to compensate the aberrations of the eye for better resolution and better contrast in the images. The liquid crystal phase modulator has a wider dynamic range to compensate aberrations than most mechanical deformable mirrors and its linear phase generation makes it easy to follow eye movements. The wavefront aberration was measured in real time with a sampling rate of 10 Hz and the closed loop system was operated at around 2 Hz. We developed software tools to align consecutively obtained images. From our experiments with three eyes, the aberrations of normal eyes were reduced to less than 0.1 μm (RMS) in less than three seconds by the liquid crystal phase modulator. We confirmed that this method was adequate for measuring eyes with large aberrations including keratoconic eyes. Finally, using the liquid crystal phase modulator, high resolution images of retinas could be obtained.     

人眼模型中各折射面对人眼像差的贡献

将计算光学系统各个折射面对系统像差贡献的理论应用于人眼中.用C语言编制光线追迹程序,计算了人眼各个折射面对眼睛像差的贡献及各种像差经过眼睛不同折射面的变化.给出了眼睛中各个折射面对眼睛彗差的贡献,并发现角膜与晶状体对眼睛彗差的贡献有相互补偿的作用.在眼睛中,角膜前表面对人眼像差的贡献最大,晶状体后表面对眼睛像差的贡献次之,这两个折射面比其他两折射面对眼睛像差的贡献大得多.这说明晶状体后表面也是改善人眼像差的参数之一.