自适应光学系统模式控制动态优化方法

像差校正模式项数是自适应光学系统模式控制算法中的一个重要参数,其大小对补偿效果影响明显。通过对系统响应函数矩阵的奇异值分解构建像差模式空间,以不同控制项数下残余像差的均方根估计为依据确定每次校正的模式项数,提出了一种模式项数动态优化的控制方法。以Hartmann-Shack波前传感器和薄膜变形镜为主要部件搭建自适应光学实验系统,通过拟合不同像差验证上述控制方法,实验结果表明,和固定项模式控制方法比较,动态优化方法校正的系统残余像差更低,可明显提高自适应光学系统的空间拟合性能。     

Experimental validation of closed-loop adaptive optics based on a self-referencing interferometer wavefront sensor and a liquid-crystal spatial light modulator

A closed-loop adaptive optics system based on a self-referencing interferometer wavefront sensor (SRI WFS) using phase-shifting point-diffraction technique and an electrically addressed phase-only liquid-crystal spatial light modulator (LC SLM) is built and validated experimentally. The wavefront aberration of incoming beam is directly measured by analyzing four frames phase-shifted interferograms captured by a single CCD camera in two camera shots, and then by loading the conjugate function onto the SLM the wavefront aberration is corrected. The proposed scheme does not rely on any complicated control algorithm or wavefront-reconstruction algorithm and can achieve high-resolution and high-accuracy correction. Closed-loop correction results of single order Zernike aberrations and a Kolmogorov turbulence phase screen show that considerable improvements in the Strehl ratio (of greater than 0.94) is achieved.     

随机并行梯度下降光束净化实验研究

利用自适应光学技术进行光束净化是高能激光系统中一项重要的研究内容.为实现光束净化系统的小型化和低成本,基于系统性能评价函数无模型最优化的波前畸变校正方法是适合的技术方案.就随机并行梯度下降(SPGD)最优化算法在光束净化系统中的应用展开研究.针对高能激光束常见的像差分布进行了SPGD波前校正的数值模拟,在此基础上构建了37单元自适应光学光束净化实验平台,讨论了双边扰动梯度估计和迭代增益系数自适应变化对算法收敛特性的影响.数值模拟与实验结果验证了SPGD算法对不同程度波前畸变的校正能力,表明了SPGD光束净化方案的可行性.     

无调制两面锥波前传感器的衍射理论分析和数值仿真

两面锥波前传感器(two-sided pyramid wavefront Sensor,TSPWFS)是一种高空间采样率和高光能利用率的波前传感器.为了深入研究它的波前复原原理,采用波动光学理论详细推导了无调制TSPWFS的衍射理论,给出了无调制TSPWFS波前复原时线性重构矩阵的解析解,并且通过数值仿真确定出最佳的光瞳像中心间距,并对静态像差的波前复原及闭环校正进行数值仿真.分析结果表明,无调制TSPWFS具有波前复原时不需要现场测量响应矩阵,可以校正系统像差,闭环校正结果稳定等优点,可以在实际自适应光学系统中进行波前探测. 关键词： 自适应光学 两面锥波前传感器 波前复原     

Optimum deformable mirror modes for sensorless adaptive optics

Wavefront sensorless adaptive optics schemes rely upon the accurate generation of aberration modes by the adaptive element, usually a deformable mirror. Analytic functions are often used for representation of the aberrations in these systems. Such functions cannot be perfectly reproduced by deformable mirrors and the approximation errors can affect the aberration correction procedure. We derive alternative modal basis sets directly from the actuator influence functions, thus avoiding the approximation errors. We investigate how the choice of aberration modes affects the performance of a sensorless adaptive imaging system. The new modes are found to be most advantageous for deformable mirrors with a small number of actuators.     

基于远场信息和卷积神经网络的波前重构方法

探测波前相位信息是实现自适应光学波前补偿的关键,使用卷积神经网络（CNN）代替波前传感器进行波前重构,系统简单易于实现,同时重构过程不依赖迭代运算,快速实时。为准确提取远场中的波前特征,CNN需要事先使用大量样本进行训练。研究中根据4～30阶大气湍流泽尼克像差系数与其远场强度的对应关系,仿真制作样本数据集,训练CNN从输入的一帧远场图像中预测出畸变波前的泽尼克像差系数,重构原始波前。验证结果表明,该方法能快速实时地还原出波前相位信息,重构波前较原始波前具有极高的波面吻合度和较小的残差剩余量,有望实现实际自适应光学系统中的闭环校正。     

基于位相变更的非相干数字全息自适应成像

菲涅耳非相干数字全息作为一种非扫描的三维成像技术具有其独特的优势,但其成像过程中会受到各种像差的影响,导致成像分辨率、再现像的质量降低.为了解决这一问题,可以结合适当的自适应光学技术对波前像差进行探测和校正.位相变更是一种基于两幅具有已知位相差的强度图像实现波前探测和像差校正的技术.本文发展了基于位相变更的非相干数字全息自适应成像技术,不需要引入引导星,利用全息记录过程中的两幅相移全息图,实现波前像差的探测.本文给出了所发展技术的数值仿真和实验结果,结合位相变更算法求解出系统像差的位相分布,将像差的共轭位相加载到光瞳面上,在全息图记录的同时校正像差,从而提高重建像的质量.     

微机械薄膜变形镜校正性能及控制算法

通过对微机械薄膜变形镜影响函数矩阵的奇异值分解,构建了变形镜可以校正的像差模式空间,分析了变形镜对正交基模式的校正能力和校正范围,提出了一种变形镜闭环迭代控制算法。通过对影响函数矩阵低秩近似的方法滤除校正性能较差的基模式的影响,实现了对畸变像差的有选择校正。以人眼出射波前为对象进行实验,通过比较不同模式项数校正时的效果,确定了最优校正模式项数的范围,通过设置残差容限的方法,消除了人眼晃动和眨眼的影响。实验结果表明:控制算法能通过选择合适的校正项数,提高变形镜的校正性能,并获取到了高清晰度的人眼视网膜图像,为眼科疾病诊断和治疗提供了一种新的观察手段。     

微机械薄膜变形镜校正性能及控制算法

通过对微机械薄膜变形镜影响函数矩阵的奇异值分解,构建了变形镜可以校正的像差模式空间,分析了变形镜对正交基模式的校正能力和校正范围,提出了一种变形镜闭环迭代控制算法。通过对影响函数矩阵低秩近似的方法滤除校正性能较差的基模式的影响,实现了对畸变像差的有选择校正。以人眼出射波前为对象进行实验,通过比较不同模式项数校正时的效果,确定了最优校正模式项数的范围,通过设置残差容限的方法,消除了人眼晃动和眨眼的影响。实验结果表明:控制算法能通过选择合适的校正项数,提高变形镜的校正性能,并获取到了高清晰度的人眼视网膜图像,为眼科疾病诊断和治疗提供了一种新的观察手段。     

Phase diversity for calibrating noncommon path aberrations of adaptive optics system under nonideal measurement environment

When the defocus cannot be measured and the wavefront solution set is restricted by a multi-channel, some practical problems exist in the calibration of the noncommon path aberrations of the adaptive optics system. To solve these problems, an evaluation function of phase diversity algorithm is constructed in this paper. We use the method that the estimated aberration and the modulated deformable mirror iterate each other to make up the nonideal measurement environment. Then the ill-pose problem of the solution by phase diversity, produced as relaxing constraints of the diversity defocus on the wavefront solution set, is solved. We have adopted the proposed method to measure the noncommon path aberrations of the adaptive optics system on a 1.23 m telescope. Experimental results demonstrate that wavefront solution is more accurate and the whole imaging quality is improved effectively by using the deformable mirror to compensate the aberration measured.     

用于激光二极管抽运固体激光器热畸变补偿的微变形镜特性研究

在很多高功率的激光器中,由于热效应的缘故会导致激光器的光束质量大幅下降。为了改善激光光束的动态畸变,自适应光学是一种有效的方法。作为自适应光学系统的核心部件,设计了一种可用于大功率激光二极管抽运固体激光器(DPL)热畸变补偿的新型可变形反射镜,并且通过工艺流片实际制造出有效反射面积为30 mm×30 mm,拥有49个静电驱动单元的可变形反射镜。对该微机电系统(MEMS)微变形镜的变形特性进行了详细的理论分析和模拟研究,并和实际测量结果进行了比较,得到了满意的结果。为了实现闭环控制,对微变形反射镜的光学影响函数矩阵进行了全面测量,并用得到的电压矩阵对畸变激光光束的波前进行了校正。实验结果表明,微变形反射镜可以有效地改善激光光束质量。     

Spherical aberration correction system using an adaptive optics deformable mirror

A deformable membrane mirror is often used in closed loop adaptive optics systems to correct for aberrations and improve image quality. In certain applications, the correction of only one type of aberration is sufficient, the calibration procedure of the mirror can be simplified and the control scheme can be reduced to a fast feed forward system. For these cases we developed a procedure that is easy to implement, accurate and delivers a large correction range. An application example is the writing and readout of three-dimensional optical memory. Here the spherical aberration component is dominant and can be inferred from the focussing depth. We describe the principle of the new calibration and feed forward control scheme and give experimental results.     

神光II升级装置波前传输计算模型与验证

基于衍射理论和神光II升级激光装置的光路结构及光学元件波前像差,建立了激光装置光束波前像差传输计算模型,用以获取在实验中难以取得,但对激光系统设计和安全运行非常重要的变形镜校正面型、放大器动态波前像差、空间滤波器波前像差和焦斑形态等过程数据。利用该模型对激光装置常规运行时的静态传输、变形镜加压静态传输和大能量发射3种状态下的波前传输进行理论分析,计算结果与实验测量相一致,并在此基础上对变形镜未加压大能量发射波前传输进行计算。计算模型可用于指导相关器件的设计,优化激光运行控制模式,有利于提高激光装置输出波前质量。     

Wavefront response matrix for closed-loop adaptive optics system based on non-modulation pyramid wavefront sensor

Pyramid wavefront sensor (PWFS) is a kind of wavefront sensor with high spatial resolution and high energy utilization. In this paper an adaptive optics system with PWFS as wavefront sensor and liquid-crystal spatial light modulator (LC-SLM) as wavefront corrector is built in the laboratory. The wavefront response matrix is a key element in the close-loop operation. It can be obtained by measuring the real response to given aberrations, which is easily contaminated by noise and influenced by the inherent aberration in the optical system. A kind of analytic solution of response matrix is proposed, with which numerical simulation and experiment are also implemented to verify the performance of closed-loop correction of static aberration based on linear reconstruction theory. Results show that this AO system with the proposed matrix can work steadily in closed-loop operation.     

Comparison of several stochastic parallel optimization algorithms for adaptive optics system without a wavefront sensor

Optimizing the system performance metric directly is an important method for correcting wavefront aberrations in an adaptive optics (AO) system where wavefront sensing methods are unavailable or ineffective. An appropriate “Deformable Mirror” control algorithm is the key to successful wavefront correction. Based on several stochastic parallel optimization control algorithms, an adaptive optics system with a 61-element Deformable Mirror (DM) is simulated. Genetic Algorithm (GA), Stochastic Parallel Gradient Descent (SPGD), Simulated Annealing (SA) and Algorithm Of Pattern Extraction (Alopex) are compared in convergence speed and correction capability. The results show that all these algorithms have the ability to correct for atmospheric turbulence. Compared with least squares fitting, they almost obtain the best correction achievable for the 61-element DM. SA is the fastest and GA is the slowest in these algorithms. The number of perturbation by GA is almost 20 times larger than that of SA, 15 times larger than SPGD and 9 times larger than Alopex.     

奇对称型相位板波前编码成像系统的点列图分析

基于几何光学理论利用光线追迹方法得到了适用于任意面型相位板的大视场平行光入射情况下的光线像差近似表达式,并在此基础之上分析了奇对称型相位板波前编码系统的点列图的大小、边界以及光线结构等特性,研究了大视场角平行光入射下的光线像差增强及点列图形变等现象,并且给出了相应的近似数学解析式来描述这些特性。通过对奇对称型相位板波前编码成像系统的点列图特性分析,有助于进一步的理解波前编码技术并且指导实际系统的设计。     

Adaptive aberration correction based on ant colony algorithm for solid-state lasers: numerical simulations

We describe an adaptive aberration correction technique based on an ant colony algorithm for solid-state lasers and a general class of other adaptive optics systems. We show that it is possible to compensate phase aberrations without wavefront sensing in this approach, which iteratively adjusts the control voltages of a deformable mirror to maximize certain system performance metrics of the far-field intensity distribution of the laser beam. The effectiveness of this approach is analyzed numerically by use of a 37-element piezoelectric deformable mirror and a variation of the Strehl ratio as the metric. Results demonstrate that this approach can effectively compensate the phase distortions of laser beams and significantly improve beam quality. A comparison indicates that this approach is much faster than a genetic algorithm while achieving almost the same beam quality.     

自适应光学系统随机并行梯度下降算法

随机并行梯度下降(SPGD)算法可以对系统性能指标直接优化来校正畸变波前。对基于SPGD算法的61单元自适应光学系统进行仿真模拟,分析了对不同初始静态畸变波前的校正能力,并比较了不同性能指标情况下的算法增益系数、扰动幅度值的选取及校正情况。仿真结果表明:算法收敛速度很大程度上依赖于增益系数和扰动幅度值,对畸变较大的波前,随机扰动幅度在0.50~0.85范围内,性能指标采用焦斑平均半径比采用斯特列尔比取得的校正效果好。     

自适应光学系统随机并行梯度下降算法

随机并行梯度下降（SPGD）算法可以对系统性能指标直接优化来校正畸变波前。对基于SPGD算法的61单元自适应光学系统进行仿真模拟,分析了对不同初始静态畸变波前的校正能力,并比较了不同性能指标情况下的算法增益系数、扰动幅度值的选取及校正情况。仿真结果表明:算法收敛速度很大程度上依赖于增益系数和扰动幅度值,对畸变较大的波前,随机扰动幅度在0.50～0.85范围内,性能指标采用焦斑平均半径比采用斯特列尔比取得的校正效果好。     

基于变形镜本征模式和远场测量的光束净化

利用波前传感器对光束进行净化的自适应光学系统是目前提高光束质量的常用技术,但在实际应用中,该技术需要波前传感器,系统复杂,体积庞大,同时需要较高性能信标源。为解决上述问题,提出了一种基于变形镜本征模式和远场光斑特征分析的无波前自适应光学系统,用于校正激光器输出的方形光束。将变形镜影响函数进行本征模式分解,并用远场光斑的均方半径作为评价函数,建立了畸变波前的模式系数与评价函数之间的关系,通过测量评价函数获得模式系数用于求解校正电压,实现波前共轭校正。仿真校正和实验验证结果表明,该方法可以有效实现静态像差校正,提高远场光斑的能量集中度。