可诱导人眼自主调节的动态像差测量仪

研究了人眼在近视力状态下自动调节产生的动态像差。采用哈特曼-夏克(Hartmann-Shack,H-S)原理研制了一套可诱导人眼屈光调节,并能测量不同调节状态下人眼像差的测量仪。诱导原理为用视标在人眼近距离范围内移动以诱发人眼屈光调节,哈特曼-夏克传感器同时进行像差的测量,可以获得人眼调节时的视觉信息。与干涉仪测量同一像差板进行相比,像差仪的测量精度均方根(RMS)值为λ/50,重复性为λ/500,具有较好的测量精度和重复性。在测量的10人19只眼中,最大的诱发调节幅度为8.6D,一般可诱发调节幅度为3~8D之间,占总人数的84%。     

主客观结合人眼波前像差测量系统的设计与实验

设计了主客观方法相结合的人眼波前像差测量系统。该系统的控制部分以工控机为中心,实现了对离焦补偿装置、LCD视标显示装置和可变形镜驱动器的控制。使用Hartmann-Shack传感器对人眼出瞳的波前像差进行测量,光路中加入了能够显示各种视标和测试图案的LCD,从而考虑到了主观调节对人眼像差的影响,能够对人眼的视觉质量进行全面衡量,实现了客观测量和主观测量在光路中的结合。使用该系统分别测量得到了模拟眼和活体人眼的波前像差,并对主客观测量结果进行了信息融合,能够为个性化的人眼屈光矫正提供有用的依据。     

Ocular aberrations in the peripheral visual field

We modified a commercial Hartmann-Shack aberrometer and used it to measure ocular aberrations twice at each of 38 points across the central 42 degrees horizontal x 32 degrees vertical visual fields of five young emmetropic subjects. Some Zernike aberration coefficients show coefficient field distributions that were similar to the field dependence predicted by Seidel theory (astigmatism, oblique astigmatism, horizontal coma, vertical coma), but defocus did not demonstrate such similarity.     

Absolute calibration of Hartmann-Shack wavefront sensor by spherical wavefronts

A method for absolute calibration of Hartmann-Shack wavefront sensor (HSWFS), in which the wavefront differences of several spherical wavefronts are used to determine parameters of HSWFS, is proposed in this paper. The calibration method is introduced and the experiment results and error analysis are presented. Across a pupil with diameter of 2.6 mm, a lenslet array of 20 × 20 sub-apertures with square configuration, and focal length 4 mm, is used to sample the incident wave. The results indicate the uncertainty of the Hartmann-Shack wavefront sensor calibrated by the proposed method, is improved to less than λ/60 PV value and λ/500 RMS value (λ = 635 nm) with modal reconstruction method. Furthermore, the factors affected the results are analyzed. The error analysis suggested that the influences of the factors on the accuracy of reconstruction can be controlled to an accept level.     

Relationship between corneal and ocular higher order wavefront aberrations and age in children

Purpose

To evaluate the relationship between corneal and ocular higher order wavefront aberrations (HOAs) and age in young subjects aged 20 years or less.

Methods

Corneal and ocular HOAs of the right eyes of 87 normal subjects were measured using videokeratography and the Hartmann–Shack wavefront aberrometer (KR-9000PW; Topcon Corp., Tokyo, Japan). The HOAs were calculated using Zernike polynomials up to the sixth order. From the Zernike coefficients, the root mean squares (RMS) of coma and spherical aberration were calculated.

Results

Corneal spherical-like aberrations significantly correlated with age (r = 0.420, p < 0.001); however, coma-like aberrations and total HOAs did not significantly correlate with age. None of the ocular HOAs significantly correlated with age. In addition, a gender-wise comparison of the collected data showed that corneal and ocular HOAs did not significantly correlate with age.

Conclusion

In children, the corneal and ocular total HOAs did not vary with age. Compared to the previous reports in adults, we found fewer corneal and ocular HOAs in children.

     

Eye models for the prediction of contrast vision in patients with new intraocular lens designs

Theoretical calculations of the polychromatic modulation transfer function (MTF) and wave-front aberration were performed with physiological eye models. These eye models have an amount of spherical aberration that is representative of a normal population of pseudophakic eyes implanted with two different types of intraocular lens (IOL) made from high-refractive-index silicone. These theoretical calculations were compared with the measured contrast sensitivity function (CSF) under mesopic lighting conditions and with wave-front aberration (obtained with a Hartmann-Shack wave-front sensor) collected from 37 patients bilaterally implanted with the same types of lens. The relationships between the ocular wave-front aberration and the MTF predicted by the eye models and the CSF and the ocular wave-front aberration measured in eyes implanted with IOLs were investigated. The predicted improvements in MTF and wave-front aberration correlated well with the improvements measured in practice. Physiological eye models are therefore useful tools for IOL design.     

Measurement of Wavefront Aberration of Human Eye Using Talbot Image of Two-Dimensional Grating

The measurement of human ocular aberration is now frequently performed because of the increase in refractive surgery on the human cornea. The Hartmann-Shack (H-S) wavefront sensor is considered to be the most useful wavefront sensor, and a calculation method for wavefront aberration has been established. New methods of measuring wavefront aberrations of human eyes, using the Talbot image of a two-dimensional grating as a wavefront sensor and local shift of the Talbot image to calculate tilt of the wavefront are shown. The shift of the Talbot image was determined by comparing the phases of fundamental spatial frequency between the grating and the local patch of the Talbot image by Fourier transformation. The actual experiment was performed using a modified commercially available wavefront analyzer. Using these methods, Talbot images were obtained from model eyes and a human eye, and wavefront shapes were successfully reconstructed. Wavefront aberrations can be measured even when the obtained image is degraded by defocusing or scattering.     

A novel approach to design intraocular lenses with extended depth of focus in a pseudophakic eye model

Eye model is firstly used to design and assess the performance of intraocular lenses (IOLs) with extended depth of focus (DOF), including aspherical IOL, refractive multifocal IOL and diffractive multifocal IOL. The details of design and optimization are given, and the optical performance of the pseudophakic eye with the designed IOLs is assessed with the spot diagram and the visual acuity. For the pseudophakic eye with 3 mm pupil, when the spherical aberration is fully corrected by the aspherical IOL, the best visual acuity reaches 1.2 with a DOF of only 1.4D. Whereas when the spherical aberration is 0.4λ, the best visual acuity is 0.9 with a DOF as much as 2.2D. With the implantation of refractive or diffractive multifocal IOL, the pseudophakic eye has fairly good distant and near vision, while the intermediate vision is worse. Diffractive multifocal IOL diverts 81% of the input light to two primary focuses equally, with the additional 19% of the light wasted as higher order diffraction. Refractive multifocal IOL diverts all the light to two focuses but the light distribution varies with the pupil diameter.     

Modified polarization point diffraction interferometer with extended measurable NA for spherical surface testing

The small pinhole of point diffraction interferometer based on pinhole-point diffraction places ultra-high requirement on both the adjustment of testing system and performance of CCD camera. Besides, poor fringe contrast due to the low reflectivity of test spherical surface would limit the measurement precision in the processing of fringe pattern. A modified polarization point diffraction interferometer with extended measurable numerical aperture (NA) is presented for testing the spherical surfaces with low reflectivity. Measurement error factors as well as the corresponding calibration procedure are introduced in detail. Comparing with the results of Zygo interferometer, measurement accuracy with root-mean-square (RMS) value about 0.0026λ and peak-to-valley (PV) 0.0134λ is achieved. The system has good measurement repeatability, and the standard deviation of measurement results RMS better than 0.0010λ is obtained. The proposed interferometer reduces the difficulty in the adjustment of the system and provides a feasible way for testing the surfaces with low reflectivity and high NA.     

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。     

基于近红外光谱的人眼像差校正系统中变形镜性能对比研究

对比分析了基于近红外光谱的人眼像差校正系统中两种微机械薄膜变形镜(OKO37单元和BMC140单元)的结构特征和空间特性,着重对变形镜的影响函数进行了主成分研究,建立了变形镜电压控制模型,并通过调整参数d确定变形镜最优控制模式。最后对Zernike单位模式波前像差和Thibos模式人眼波前像差进行拟合仿真实验,结果表明BMC140单元变形镜对Zernike各阶模式的拟合能力均为OKO37单元变形镜的2倍以上。对RMS均值为0.683λ(λ=0.785 μm)的Thibos模式人眼像差,BMC变形镜校正后残余像差RMS值为0.063λ,达到了光学系统的衍射极限(λ/14)。而OKO变形镜由于受相邻电极交连值大、电极分布密度小等因素的影响,其校正能力不及BMC变形镜,残余像差RMS值为0.168λ。本方法也可用于其他种类变形镜的性能评估。     

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.     

Retina imaging system with adaptive optics for the eye with or without myopia

An adaptive optics system for the retina imaging is introduced in the paper. It can be applied to the eye with myopia from 0 to 6 diopters without any adjustment of the system. A high-resolution liquid crystal on silicon (LCOS) device is used as the wave-front corrector. The aberration is detected by a Shack-Harmann wave-front sensor (HASO) that has a Root Mean Square (RMS) measurement accuracy of λ/100 (λ = 0.633 μm). And an equivalent scale model eye is constructed with a short focal length lens (∼18 mm) and a diffuse reflection object (paper screen) as the retina. By changing the distance between the paper screen and the lens, we simulate the eye with larger diopters than 5 and the depth of field. The RMS value both before and after correction is obtained by the wave-front sensor. After correction, the system reaches the diffraction-limited resolution approximately 230 cycles/mm at the object space. It is proved that if the myopia is smaller than 6 diopters and the depth of field is between −40 and +50 mm, the system can correct the aberration very well.     

Angular momentum bearing modes and nuclear structure effects in12C-induced fission

The angular momenta of the fragments produced in several 100 and 180 MeV¹²C induced fission reactions have been investigated usingγ-ray multiplicity (M _λ) techniques. The averageM _λ increases with both the bombarding energy and the total mass of the system. The dependence ofM _λ on mass asymmetry is generally rather weak, except in regions near shell closures, where local minima are observed. The magnitudes ofM _λ tend to be larger than expected on the basis of rigid rotation, possibly due to the excitation of collective modes. A comparison is made with a statistical model.     

Extended AMAI-PCA technique based on multi-level Box–Behnken design

Previously, we reported a technique for in situ projection lens aberration measurement based on principal component analysis of aerial images (AMAI-PCA). The sampling approach of this technique has a great impact on the measurement range and accuracy. To meet the requirement of large aberration measurement, a multi-level Box–Behnken design approach is tested in conjunction with AMAI-PCA to build the aerial image space. Compared with regular Box–Behnken design, the new approach improves the accuracy by 30% when the amplitude of wavefront aberration is larger than 0.1λ.     

Curvature sensor for ocular wavefront measurement

We describe a new wavefront sensor for ocular aberration determination, based on the curvature sensing principle, which adapts the classical system used in astronomy for the living eye's measurements. The actual experimental setup is presented and designed following a process guided by computer simulations to adjust the design parameters for optimal performance. We present results for artificial and real young eyes, compared with the Hartmann-Shack estimations. Both methods show a similar performance for these cases. This system will allow for the measurement of higher order aberrations than the currently used wavefront sensors in situations in which they are supposed to be significant, such as postsurgery eyes.     

Optical quality in a myopic population of human eyes

An aberrometer was used to measure the monochromatic aberration of 219 eyes in a population of 113 myopic subjects. The Zernike expansion was used to describe the wavefront aberration of the human eyes. From the distribution of Zernike coefficients, the means of almost all Zernike coefficients are approximately zero, and the mean absolute values of Zernike coefficients convey the level of aberration for our study population. Based on the distribution of Zernike coefficients, the averaged optical quality was computed in different methods. The mean MTF and PSF of individual eyes represent the optical quality for a typical myopic eye. Through the calculation of the visual benefits expected from correcting Zernike modes, a large expected visual benefit can be achieved across all spatial frequencies after correcting 5 Zernike modes. Furthermore, the larger improvement of optical quality can be achieved with correcting more Zernike modes at a higher spatial frequency.     

Experimental investigation of a flowing fluid layer on metal surface roughness measurement and aberration correction using adaptive optics

The induced optical aberration of laser beam passing through a transparent flowing fluid layer on a metal specimen is experimentally and empirical formula studied. The proposed study presents an experimental investigation of metal surface roughness measurement by combining an optical probe of laser-scattering phenomena and adaptive optics (AO) for aberration correction. In the absence of the AO correction scheme, induced flow velocity of 0.278 m/s can severely degrade the residual wavefront root mean square (RMS) error to 0.58 μm and decrease the scattered laser intensity. Real-time AO correction in closed-loop at a sampling rate of 8Hz can reduce the wavefront RMS error to 0.19 μm and improve the attenuation of scattered laser intensity. The maximum relative error of the estimated roughness (R _a) is less than 7.8% compared with the stylus method. The experimental results show satisfactory correction in the presence of a flowing fluid layer using the AO system.     

Tight focusing of double ring shaped radially polarized beam with high NA lens axicon

A method is presented for generation of a sub wavelength (0.45λ) longitudinally polarized beam, which propagates without divergence over lengths of about 8λ in free space. This is achieved by tight focusing of double ring shaped radially polarized beam with a high NA lens axicon that utilizes spherical aberration to duplicate the performance of an axicon and to create an extended focal line. The intensity distributions were calculated based on the vector diffraction theory and it was observed that in the case of high numerical aperture (NA) lens axicon, the distribution of the total intensity near the focus had little effect on the degree of truncation of the incident beam by the pupil.     

基于波前像差的视网膜空间像调制度测定

提出了一种计算复色光下人眼视网膜空间像调制度的方法.利用Hartmann-Shack波前传感器测量的波前像差数据，求得眼睛光学系统的调制传递函数；利用CSV-1000测试仪和VAF-1000视锐度测试仪分别测量同一只眼睛的全眼对比敏感度函数以及视锐度，由调制传递函数、对比敏感度函数以及视锐度之间的关联获得复色光下人眼视网膜空间像调制度曲线.结果表明：视网膜空间像调制度曲线与眼光学系统的调制传递函数无关，并且正常人眼（无视网膜疾病）的视网膜空间像调制度值相近.因此多眼的空间像调制度曲线的统计平均值可以作为标准，用来评判人眼视网膜及视神经疾病.