Correcting anterior corneal aberration and variability of lens movements in keratoconic eyes with back-surface customized soft contact lenses

Customized contact lenses are limited in their correction performance, especially on irregular corneas, owing to decentration and rotation of the lenses. To overcome this limitation, we proposed to customize the back surface of soft contact lenses to match the anterior irregular corneal surface. These lenses were designed to correct anterior corneal aberrations and to improve lens stability. Although in keratoconic eyes the anterior corneal aberrations were effectively corrected, significant residual aberrations were observed. The internal optics, especially the posterior surface of the cornea, was the main source of these residual aberrations. Compared with conventional soft contact lenses, lens stability, on average over three eyes, was improved by a factor of 2 for horizontal and vertical decentrations and a factor of 5 in rotational orientation with the back-surface customized lenses.     

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.     

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 the effects of higher-order aberrations on human contrast sensitivity with white-light retinal aerial image modulation (AIM)

The impact of higher-order aberrations on contrast sensitivity function (CSF) is calculated using individual white-light retinal aerial image modulation (AIM). Wavefront aberrations of 26 eyes are measured with Hartmann-Shack sensor, and the CSFs in natural light are acquired through a range of 2-48 c/deg. The white-light AIM is computed as the ratio of modulation transfer function (MTF) in white-light to CSF. Through manipulating the higher-order aberrations, the affected CSF is predicted by employing the white-light AIM. We find that coma aberration mainly influences CSF at higher spatial frequency and spherical aberration affects CSF in the whole spatial frequency range non-selectively. Additionally, it is spherical aberration rather than coma that impacts the CSF more substantially. Furthermore, the maximum value of area under CSF (AUCSF) is obtained without full correction of higher-order aberration, which indicates that there is compensatory mechanism among aberrations.     

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.     

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.     

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。     

主客观相结合眼波面像差分析系统

利用Hartmann-Shack波面传感器对眼出瞳位置的波面像差进行测量,根据所测像差控制可变形镜对像差进行实时补偿.眼像差以Zernike多项式表示,通过对可变形镜的精确控制,可在光路中生成特定模式和幅值的像差.因此,被测者根据视觉的主观感觉,调节视标像差,直至获得最满意的视觉效果.该系统采用移动三棱镜和柱镜的方法对离焦和散光进行预补偿,弥补了波面传感器测量范围和可变形镜矫正范围受限制的缺点.该系统把快速、客观的测量及补偿和主观调整相结合,更加符合人眼工作的特性,可用于在人眼像差与视觉分辩的基础和临床研究.     

Influence of Misalignment on High-Order Aberration Correction for Normal Human Eyes

Although a compensation device can correct aberrations of human eyes, the effect will be degraded by its misalignment, especially for high-order aberration correction. We calculate the positioning tolerance of correction device for high-order aberrations, and within what degree the correcting effect is better than low-order aberration （defocus and astigmatism） correction. With fixed certain misalignment within the positioning tolerance, we calculate the residual wavefront rms aberration of the first-6 to first-35 terms along with the 3rd-Sth terms of aberrations corrected, and the combined first-13 terms of aberrations are also studied under the same quantity of misalignment. However, the correction effect of high-order aberrations does not meliorate along with the increase of the high-order terms under some misalignment, moreover, some simple combined terms correction can achieve similar result as complex combinations. These results suggest that it is unnecessary to correct too much the terms of high-order aberrations which are difficult to accomplish in practice, and gives confidence to correct high-order aberrations out of the laboratory.     

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。     

利于像差校正的共形整流罩内表面面形设计

共形光学系统中,椭球形等厚度整流罩使入射的平行光线经过整流罩后不再平行,变为发散的光线,进而使系统像差急剧增加,不利于后续像差的校正。通过对等厚度共形整流罩的内表面进行重新设计,打破了共形整流罩的等厚度条件,从而在使用较少校正光学透镜的基础上实现了系统像差的校正。通过分析不同级次非球面分别作为整流罩内表面面形时的像差校正效果,确定了将6次非球面作为共形整流罩内表面面形初始结构。通过对内表面进行优化设计,最终得到整流罩内表面面形。结果表明,该方法有效地减小了共形整流罩引入的像差。最后使用固定校正器对内表面变化后的整流罩进行了像差校正,设计结果表明,内表面的改变有效地减少了光学元件数量,消像差效果良好。     

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。     

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.     

关于电磁复合聚焦阴极透镜的象差理论

本文对电磁复合聚焦阴极透镜的象差理论进行评述与研究,着重分析西门纪业和Бонштедт两篇代表性的文章,详细推导了两文的象差方程和象差系数。研究表明,尽管两文的象差系数在形式上迥然不同,但实质上是完全一致的,是可以互相转化的。从而证明Бонштедт对西门纪业的批评是没有根据的。按照我们的研究,成象系统的象差应在某一轴向初电位ε_(x1)而非ε_x所对应的象面上进行考察,从而导出电磁复合聚焦阴极透镜包括一级象差与三级象差在内的全部横向象差表达式 关键词：     

细电子束像差与畸变参量非劣解中的最优解

以电子束偏转磁场的像差和畸变为目标,对参量进行非劣解中找出贴近理想的最优解。以SDS-3电子束曝光机的磁复合偏转系统为基础,分析了像差与电子束主轨迹的关系。并给出了磁聚焦和静电的偏转场相复合情况下竖轴的3级几何像差系数和1级色差系数公式。应用中表明,复合系统结构简单紧凑,像差小而可以不用动态校正。     

Adaptive correction of human-eye aberrations in a subjective feedback loop

An adaptive optical system with a subjective feedback loop is used to improve the visual acuity and to determine the aberrations of the human eye. Corrections of as many as 12 low-order aberration modes were made, based on the perceived sharpness of the test object observed through the adaptive optical system. The acuity of vision was improved by adjustment of the weights of the orthogonal modes produced by a deformable mirror. Objective measurements of the correcting aspherical figures, obtained in independent subjective correction cycles for one person, demonstrated good repeatability. Participants in the study with strong ocular aberrations reported moderate to significant improvement of their visual acuity, estimated with the U.S. Air Force 1951 acuity chart.     

Effects of interactions among wave aberrations on optical image quality after refractive surgery

Research on wave aberrations indicates that interactions and balances among aberrations can provide better visual quality for normal eyes. In this paper, we investigate the aberration compensatory mechanism for eyes after LASIK surgery. Data of Zernike coefficients of wave-front aberrations are collected from 60 post-operative eyes through a Hartmann-Shack wave-front sensor, and then a series of Monte Carlo simulations are performed by manipulating the value of each Zernike coefficient (second order through seventh order). The modulation transfer function (MTF) ratio as a function of spatial frequency is used to evaluate the aberrations’ characteristic of independence. Finally, in a control condition, “synthetic” model eyes are produced through Monte Carlo arithmetic and the aberration independence of the synthetic eyes is analyzed. The results suggest that, for 6 and 3 mm pupil size, aberrations of the eyes after LASIK surgery are still not independent and the adaptive mechanism still exists. However, the adaptive mechanism does not hold for the “synthetic” eyes.     

阴极透镜象差的变分理论

本文运用变分原理研究了电磁复合聚焦阴极透镜的象差理论,导出了在任意象平面中象差系数的普遍公式。它们可以用Glaser导出的象差系数的线性组合来表示。这就表明了宽束与细束电子光学系统的象差都可以用统一的变分方法处理,并建立了两者之间的联系,本文采用矢量形式描写阴极透镜的近轴轨迹,并采用矩阵形式描写象差。本文所得的象差系数较之文献上已有结果形式更为简洁且适用于计算机计算。本文考虑了阴极面上磁场和横向电场不为零的情况,因而所得结果较为普遍。 关键词：     

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。     

Evaluating Optical Quality of a Bifocal Soft Contact Lens in Near Vision Using a Shack–Hartmann Wavefront Aberrometer

To assess optical characteristics of bifocal soft contact lenses (BCLs) in use, we measured wavefront aberrations of human eyes, of eyes with a monofocal soft contact lens (MCL), and of eyes with a BCL. Modulation transfer functions (MTFs), Strehl ratios, and simulated images for far and near vision were produced with the measured aberrations. High order aberrations of subject 1 were significantly smaller than those of subject 2 (t-test, P = 0.001). We found that wearing the BCL improved the optical quality of an eye in subject 1, expressed as the horizontal MTF from 2 to 48 cycles per degree (cpd) for near vision and the Strehl ratio (t-test, P = 0.009 for Strehl ratio). But we did not find the same effect in subject 2. This difference may be due to the difference in the aberrations of the eyes of the two subjects.