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自适应光学系统随机并行梯度下降控制算法实验研究 总被引:10,自引:3,他引:7
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。 相似文献
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《光学学报》2010,(3)
对自适应光学系统随机并行梯度下降控制的校正残差进行了分析。通过对随机并行梯度下降(SPGD)算法校正静态像差的数值模拟,定标出了算法收敛时间与系统变形镜校正单元数的关系。建立了基于随机并行梯度下降算法自适应光学系统的简化控制模型,根据湍流大气的时间功率谱,推导了算法收敛时间与校正残差之间的解析表达式。结果表明,采用N个校正单元的自适应光学系统补偿Greenwood频率大小为f_G的大气湍流带来的动态像差,为保证校正残差σ~2λ/10,随机并行梯度下降算法的迭代速率需大于86 Nf_G。根据一组典型的计算结果指出了自适应光学系统随机并行梯度下降控制作用距离的有限性。 相似文献
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基于随机并行梯度下降(SPGD)方法的自适应光学(AO)系统通过直接优化系统的性能评价函数来控制波前校正器以补偿光束中存在的波前畸变。为了提高这种无模型优化自适应光学系统的收敛速度, 提出了基于分区域耦合的新方法以改进传统随机并行梯度下降自适应光学系统的工作方式。将波前校正器光学孔径分成多块子区域, 每块子区域对应着的所有驱动器作为一个整体控制单元, 从形式上可以得到一个空间分辨率较低的分区域波前校正器。该校正器与原校正器同步工作, 并采用随机并行梯度下降算法对同一个性能评价函数进行优化, 从而构成了双校正器的耦合工作结构。对256单元分立活塞式波前校正器建立了自适应成像系统的数值模型, 结果表明这种分区域耦合的随机并行梯度下降自适应光学系统比传统随机并行梯度下降自适应光学系统具有更快的收敛速度和更好的渐近态。 相似文献
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将龙格-库塔优化器用于无波前探测自适应光学系统,提出基于RUN的自适应光学控制方法。以61单元变形镜为波前校正器件,不同湍流强度下的畸变波前为校正对象,建立基于RUN优化算法的自适应光学系统模型。对比分析基于RUN、PSO、DEA和GA等算法的波前校正效果、校正速度和局部极值。结果表明,相比基于粒子群优化算法、差分进化算法和遗传算法的自适应光学系统,在取得相同校正效果时,基于RUN优化算法的波前校正系统在不同湍流条件下的校正速度均提高三倍以上,且RUN算法不易陷入局部极值。研究结果可为基于RUN优化算法的波前校正系统的实际应用提供理论基础。 相似文献
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点目标成像自适应光学随机并行梯度下降算法性能指标与收敛速度 总被引:1,自引:0,他引:1
在自适应光学中,随机并行梯度下降(SPGD)算法通过对系统的性能指标直接优化从而校正波前像差,具有很强的应用潜力.在点目标成像自适应光学系统中,SPGD算法经常采用强度分布平方和、平均半径和环围能量作为系统的性能指标进行优化.利用数值仿真分析了三种性能指标与畸变波前的均方根之间的关系.建立了一套实验平台,通过静态波前畸变校正实验,分析了SPGD算法采用以上三种不同的性能指标时的校正效果.实验结果与前面的数值仿真结果一致,表明SPGD取平均半径作为性能指标进行优化时效果较好.实验还分析了控制通道数目对收敛速度的影响.结果表明随着控制通道数目的增加性能指标曲线收敛所需的迭代次数显著增加,与驱动器个数的平方根之间存在一个近似的线性关系. 相似文献
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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. 相似文献
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随机并行梯度下降光束净化实验研究 总被引:10,自引:4,他引:6
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. 相似文献
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《中国光学快报(英文版)》2015,(4)
The stochastic parallel gradient descent(SPGD) algorithm is widely used in wavefront sensor-less adaptive optics(WSAO) systems. However, the convergence is relatively slow. Modal-based algorithms usually provide much faster convergence than SPGD; however, the limited actuator stroke of the deformable mirror(DM) often prohibits the sensing of higher-order modes or renders a closed-loop correction inapplicable. Based on a comparative analysis of SPGD and the DM-modal-based algorithm, a hybrid approach involving both algorithms is proposed for extended image-based WSAO, and is demonstrated in this experiment. The hybrid approach can achieve similar correction results to pure SPGD, but with a dramatically decreased iteration number. 相似文献
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This paper analyses the dynamic residual aberrations of a
conformal optical system and introduces adaptive optics (AO)
correction technology to this system. The image sharpening AO system
is chosen as the correction scheme. Communication between MATLAB and
Code V is established via ActiveX technique in computer simulation.
The SPGD algorithm is operated at seven zoom positions to
calculate the optimized surface shape of the deformable mirror.
After comparison of performance of the corrected system with the
baseline system, AO technology is proved to be a good way of
correcting the dynamic residual aberration in conformal optical
design. 相似文献
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H. Ma C. Fan P. Zhang J. Zhang C. Qiao H. Wang 《Applied physics. B, Lasers and optics》2012,106(4):939-944
An adaptive optics system utilizing a Shack–Hartmann wavefront sensor and a deformable mirror can successfully correct a distorted
wavefront by the conjugation principle. However, if a wave propagates over such a path that scintillation is not negligible,
the appearance of branch points makes least-squares reconstruction fail to estimate the wavefront effectively. An adaptive
optics technique based on the stochastic parallel gradient descent (SPGD) control algorithm is an alternative approach which
does not need wavefront information but optimizes the performance metric directly. Performance was evaluated by simulating
a SPGD control system and conventional adaptive correction with least-squares reconstruction in the context of a laser beam
projection system. We also examined the relative performance of coping with branch points by the SPGD technique through an
example. All studies were carried out under the conditions of assuming the systems have noise-free measurements and infinite
time control bandwidth. Results indicate that the SPGD adaptive system always performs better than the system based on the
least-squares wavefront reconstruction technique in the presence of relatively serious intensity scintillations. The reason
is that the SPGD adaptive system has the ability of compensating a discontinuous phase, although the phase is not detected
and reconstructed. 相似文献