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。     

Focal plane wave-front sensing algorithm for high-contrast imaging

High-contrast imaging provided by a coronagraph is critical for the direction imaging of the Earth-like planet orbiting its bright parent star. A major limitation for such direct imaging is the speckle noise that is induced from the wave-front error of an optical system. We derive an algorithm for the wave-front measurement directly from 3 focal plane images. The 3 images are achieved through a deformable mirror to provide specific phases for the optics system. We introduce an extra amplitude modulation on one deformable mirror configuration to create an uncorrelated wave-front, which is a critical procedure for wave-front sensing. The simulation shows that the reconstructed wave-front is consistent with the original wave-front theoretically, which indicates that such an algorithm is a promising technique for the wave-front measurement for the high-contrast imaging. Supported by the National Natural Science Foundation of China (Grant No. 10873024)     

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.     

Investigation on high power phase compensation of strong aberrations via stimulated Brillouin scattering

The strong wave-front aberrations compensated by stimulated Brillouin scattering phase conjugate mirror (SBS-PCM) in a high power laser were investigated experimentally. The wave-front fluctuation of the 10 Hz 500 mJ Nd:YAG laser is 0.5λ. Transmitting through a random phase plate (RPP), it increases to 8.6λ. While using SBS-PCM in place of a high reflection mirror, the distortion induced by the RPP is compensated, and the wave-front fluctuation becomes 0.9λ. At the same time, obvious breakdown phenomena in the SBS cell were observed, and the reflectivity is unstable. A rotating wedge plate is introduced into the phase conjugating mirror to make the focus of the SBS cell rotate and optical breakdown is avoided effectively. The reflectivity becomes stable around about 70% and the instability is changed from ±4.1% to ±0.9%. Besides, the compensated wave-front fluctuation is only 0.6λ, which is near to the original wave-front distribution. The results show that the reflectivity of the SBS-PCM is very high and stable when there are no other nonlinear effects such as optical breakdown. Thus the compensating effects for strong wave-front errors are perfect.     

Optimization of high-order harmonic generation by adaptive control of a sub-10-fs pulse wave front

We present a method for the optimization of high-order harmonic generation based on wave-front correction of the driving laser beam. The technique exploits wave-front adaptive control by means of a deformable mirror, governed by an optimization procedure.     

Second-harmonic generation and wave-front correction of a terawatt laser system

By combining second-harmonic generation and wave-front correction of a hybrid Ti:sapphire-Nd:glass terawatt laser chain, we were able to generate a focused intensity above 10(19) W/cm(2), with an estimated 10(9):1 intensity contrast ratio. The frequency of the laser is doubled by use of a type I KDP crystal, and wave-front correction is achieved with a deformable mirror coupled to a wave-front sensor.     

自适应光学随机并行梯度下降算法波前整形规律仿真

本文首先介绍了基于Zernike模式的SPGD算法对大气湍流畸变波前的整形原理,通过推导得到了关于性能指标的简明表达式,使SPGD算法收敛速率得到明显提升。然后建立了自适应光学随机并行梯度下降算法波前整形系统模型,主要对SPGD算法收敛速率、整形能力和整形效果随波前畸变量和变形镜模型的变化规律作了较为详细的仿真研究,整体定性结果表明：三者的变化规律有一定的相似性,同时利用最小二乘法得到了关于整形能力和整形效果变化规律的定量表达式,若从自适应光学波前整形系统的实时性和简单性考虑,在保证一定整形效果的情况下,选择37单元变形镜对畸变波前的3~27（25）阶Zernike像差进行整形即可。     

自适应光学系统随机并行梯度下降控制算法实验研究

随机并行梯度下降算法是一种极具应用潜力的自适应光学系统控制算法,具有不依赖波前传感器直接对系统性能指标进行优化的特点。基于32单元变形镜、CCD成像器件等建立自适应光学系统随机并行梯度下降控制算法实验平台。考察算法增益系数和扰动幅度对校正效果和收敛速度的影响,验证随机并行梯度下降算法的基本原理。实验结果表明参量选取合适的情况下,随机并行梯度下降控制算法对静态或慢变化的畸变波前具有较好的校正能力。根据实验结果分析了影响随机并行梯度下降算法校正速度的主要因素。     

随机并行梯度下降算法性能与变形镜排布规律的关系研究

对随机并行梯度下降算法(SPGD)性能与不同变形镜排布规律的关系进行了研究。以采用Roddier方法生成的由52项Zernike像差构成的畸变波前为整形对象,对SPGD算法的收敛速率和整形效果与变形镜排布规律(单元数分别为19、21、32、37、45、60、61、77、91)之间的关系进行了仿真研究。结果表明:从整体分析,随着变形镜单元数逐渐增多,SPGD算法的收敛速率和整形效果均逐渐变差;从局部分析,由于变形镜元胞类型变化和边缘占空比的影响,在渐变规律中产生了局部差异。     

畸变波前相位校正效果分析

 以随机相位屏构造波前畸变相位,运用高通滤波的方法模拟变形镜对光束波前畸变相位的校正作用,模拟分析了畸变波前的相位校正效果,定量分析了校正效果与低频相位畸变和高频相位畸变之间的关系,并进一步讨论了变形镜的校正位置对校正效果的影响。研究结果表明:对于给定单元尺寸的变形镜,随着畸变波前中高频相位畸变所占比例的增大,经校正后的远场光束质量明显降低,校正效果也越来越差。此外,光学变形镜所在位置对校正效果存在明显影响,校正效果随校正位置的变化呈现出起伏变化。     

自适应光学系统随机并行梯度下降控制算法仿真与分析

随机并行梯度下降算法能不依赖波前传感器直接对系统性能进行优化。以32单元变形镜为校正器,采用随机并行梯度下降算法建立了自适应光学系统仿真模型。通过分析该系统对静态波前畸变的校正能力,验证了随机并行梯度下降算法的收敛性;讨论了算法增益系数、随机扰动幅度与收敛速度的关系,并指出通过算法增益系数的自适应调整可以改进算法的收敛速度。     

The aberration and the modulation transfer function in LASEK and LASIK: Pupil size dependence

The wave-front aberrations on the postoperative eyes with two different type of excimer laser surgery have been measured by a Hartmann-Shack wave-front sensor. We have calculated the aberrations for both 3 and 6 mm pupils, and with which to acquire the MTF of the eye. There are no significant differences in wave-front aberrations postoperatively (P>0.05) for 3 mm pupil size, but with 6 mm pupil, LASIK-treated eyes exhibit significant higher aberrations than LASEK-treated eyes for 4th and 5th-order aberrations. For individual Zernike terms, there are significant difference in , and . The MTF for 6 mm pupil is much lower than those for 3 mm pupil across all spatial frequencies. The LASEK curve shows higher than that with LASIK at spatial frequencies less than 60 c/d, which means that the optical quality in LASEK-treated eyes showed better than in LASIK-treated eyes.     

20单元双压电片变形镜对Zernike像差空间拟合能力的实验研究

利用20单元双压电片变形镜和13×13阵列哈特曼波前传感器所构成的闭环自适应光学系统,实验测试了双压电片变形镜对3～20项静态Zernike像差的空间校正能力,并将实验结果与仿真计算结果进行了对比.最后分析了哈特曼传感器与双压电片变形镜之间的对准误差对实验结果的影响.研究表明,除了少数几项外,双压电片变形镜对3～20项Zernike像差的拟合误差都小于0.5,各项Zernike仿真和实验结果之差平均小于0.1.计算表明,与严格对准的理想情况相比,双压电片变形镜对3～20项Zernike像差中大多数项的拟合误差都随着失配程度的增加而增大,对准精度对于高阶像差拟合效果的影响尤其严重.     

Optimization of low-order harmonic generation by exploitation of a resistive deformable mirror

The generation of harmonics from the interaction of an ultra-intense laser pulse and a gas jet is strongly influenced by the intensity and shape of the laser beam. In this work we present a sensor-less optimization procedure of the harmonics yield based on the use of an adaptive mirror. Because of the limited repetition rate of the laser source, we used a resistive actuator-deformable mirror which allows a rapid convergence to the optimal laser beam correction without a wave-front measurement. Our approach demonstrated that this kind of deformable mirror was able to enhance the harmonic yield by a factor of two in about 40 acquisitions.     

Beam cleanup of a 532-nm pulsed solid-state laser using a bimorph mirror

A successful beam cleanup of a 5-mJ/200-μs pulsed solid-state laser system operating at 532-nm wavelength is demonstrated. In this beam cleanup system, a wave-front sensor-less adaptive optics (AO) system is set up with a 20-element bimorph mirror (BM), a high-voltage amplifier, a charge-coupled device camera, and a control software implementing the stochastic parallel gradient descent (SPGD) algorithm. The brightness of the laser focal spot is improved because the wave-front distortions have been compensated. The performance of this system is presented and the experimental results are analyzed.     

一种自适应光学闭环系统预测控制算法的仿真研究

介绍了校正大气湍流畸变波前像差的自适应光学系统中,基于预测控制技术对变形镜控制电压进行预测以减少自适应光学系统中时间延迟误差的方法.对受横向风影响的大气湍流畸变波前斜率数据,利用数值仿真方法,研究了基于递推最小二乘(RLS)算法的线性预测控制算法对自适应光学系统变形镜控制电压进行超前预测的方法,并与采用比例积分(PI)...     

Hybrid curvature and gradient wave-front sensor

A new wave-front sensor for adaptive optics that gives signals for the curvature and the two gradient components of the wave front simultaneously is proposed. The sensor uses quad cells placed at the foci of an array of astigmatic lenslets, giving three intensity-normalized differential signals. The parameters of a single subdetector are optimized to maximize the curvature signal. The performance of such a sensor designed for a membrane curvature mirror is analyzed. The good match between sensor and mirror is exhibited by an almost diagonal response matrix between the mirror actuator controls and the curvature signals.     

Numerical Simulation of Self-Pumped Phase Conjugate Plane--Curve Loop Mirror Based on Photorefractive Nonlinearity

We deal with computer simulation of a transient process in a self-pumped phase conjugate plane-curve loop mirror based on BaTiO3. In optimal circumstances the nonlinear reflectivity and fidelity of such a mirror respectively achieve 0.80-0.90 and 0.95-0.98. The generation of conjugate wave-front occurs due to scattering from the dynamic hologram which is produced in the region of self-intersection of forward and backward beams. In such a model the scenario of passing to unstable generation regimes is similar to the self-pumped phase conjugate plane-plane loop mirror and substantially differs from a single-crystal double phase conjugate mirror.     

基于Zernike模式的随机并行梯度下降算法的收敛速率

为了加快控制变形镜进行波前整形的随机并行梯度下降（SPGD）算法的收敛速率,提高实时波前整形能力,本文利用由12阶Zernike多项式构成的畸变波前和32单元变形镜建立了仿真模型。基于Zernike多项式的单位正交性,得到了两个常数矩阵,当斯特列尔比（SR）达到0.8时,需要算法迭代660次,简化了算法的运算过程,加快了算法运行时间。通过Matlab7.8.0对6种SPGD算法进行仿真对比,结果显示：当SR要求不高时,可使用间接固定双边SPGD算法来提高收敛速度;当SR要求较高时,则应当使用间接自动双边SPGD算法。提出的算法为实际的激光整形提供了理论指导。     

Dynamic wave-front distortion compensation with a 134-control-channel submillisecond adaptive system

A 134-control-channel adaptive-optics system consisting of a microelectromechanical mirror array (mu -mirror), a wave-front tilt-control mirror, and a very large scale integration controller utilizing a stochastic gradient-descent optimization of a performance metric is presented. A maximum adaptation rate of ~11, 000 iterations/s was achieved. The system was used to demonstrate real-time compensation for dynamic phase distortions from a laboratory-generated turbulence simulator in a laser-focusing experiment.