变形镜波前补偿能力的空间频域分析

 利用滤波器原理从空间频域分析了连续镜面分立驱动变形镜对波前的补偿能力。将变形镜等效为一高通滤波器,通过数值计算分析了滤波器函数与驱动器密度、高斯指数、交连值等变形镜主要参数的关系,解释了参数变化对波前拟合能力的影响。结果表明：驱动器密度是波前补偿能力的决定因素,增大高斯指数和交连值一定程度上有利于低空间频率波前的补偿。应用中应该根据待补偿波前的特征正确地选择和调整变形镜参数。     

四程放大系统腔镜位置变形镜的面形解

 根据在大型高功率固体激光装置中自适应光学技术的应用研究，将变形镜置于腔镜位置，有利于提高自适应光学系统的校正动态范围。基于变口径90°翻转四程放大系统的光路特点，从理论上比较完整地解决了四程放大系统腔镜位置变形镜面形解的存在性问题，并对口径变换比值(缩束比)与面形求解之间的关系问题进行了数值模拟，结果表明:只要缩束比小于1，对应系统连续波前畸变的腔镜位置面形解是存在的，且随着缩束比减小，解的收敛性增强。     

Theoretical analysis of imaging properties of a pressure-actuated deformable mirror for adaptive compensation of rotationally symmetrical wavefronts

Our work presents a theoretical analysis of aberration properties of a simple single-channel deformable mirror from both the aspect of modeling the shape of the mirror reflecting surface and the mechanisms of wave-front correction using such mirror. The proposed mirror can be used for a compensation of rotationally symmetrical wavefronts, e.g. focusing of optical beams, adaptive change of resonator parameters in laser technology, phase shifting, etc. The detailed analysis of possibilities of wave-front correction was performed.     

Deformable mirrors based on piezoelectric unimorph microactuator array for adaptive optics correction

This paper describes a piezoelectric deformable mirror (DM) for adaptive optics (AO) applications, with a 100 μm thick silicon mirror driven by 61 unimorph microactuators. Measurement results show that the stroke of the DM is ~ 7.4 μm at 100 V, and the resonance frequency is at 18 kHz. To demonstrate the correction capability of the DM, low-order Zernike modes up to 14th term were reproduced. Furthermore, a close-loop correction of laser beam in a 633 nm helium-neon laser system was performed. After system aberrations being compensated, a focal spot approximate to Airy disk was achieved.     

自适应光学系统中波前传感器噪声的闭环传递特性

 分析了Shack-Hartmann 波前传感器（S-H WFS）在实际大气条件下,大气湍流波前相位的探测误差在自适应光学系统（AOS）中的传递过程以及最后的控制残余方差,导出了定量分析的数学模型,并给出了分析结果。结果表明,当S-H WFS用于微弱信标光大气湍流的探测时,自适应光学系统中的控制斜率残余误差中除了前人分析[1]的误差外还包含一项由天空背景光斑质心位置引起的常数误差值,并且系统的有效控制带宽会因信标探测对比度的下降而减小,这将大大降低AOS的校正能力。分析结果还表明信标光越弱,对S-H WFS的标定光学系统的像差要求越高。     

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.     

自适应光学系统中波前传感器噪声的闭环传递特性

分析了Shack-Hartmann 波前传感器（S-H WFS）在实际大气条件下,大气湍流波前相位的探测误差在自适应光学系统（AOS）中的传递过程以及最后的控制残余方差,导出了定量分析的数学模型,并给出了分析结果。结果表明,当S-H WFS用于微弱信标光大气湍流的探测时,自适应光学系统中的控制斜率残余误差中除了前人分析[1]的误差外还包含一项由天空背景光斑质心位置引起的常数误差值,并且系统的有效控制带宽会因信标探测对比度的下降而减小,这将大大降低AOS的校正能力。分析结果还表明信标光越弱,对S-H WFS的标定光学系统的像差要求越高。     

强激光畸变波前的高精度重构

 高精度的波前重构，是实现对强激光波前畸变进行有效补偿与控制，提高光束质量的重要前提。先利用三个较远的衍射面及输入面上的强度信息，重构出强激光波前的以均方根梯度来描述的低频成分；再利用两个较近的衍射面及输入面上的强度信息，重构出强激光波前的以随机分布描述的中高频成分。当波前畸变的低频幅度小于或等于2λ，中高频幅度小于或等于0.15λ时，算法具有良好的收敛性能。     

微加工薄膜变形镜本征模分析

 介绍了变形镜本征模的构造过程及其特点,分析了从荷兰OKO公司购买的37单元微加工薄膜变形镜的本征模,并用前65阶Zernike多项式分析微加工薄膜变形镜的37阶本征模的特性。搭建了以微加工薄膜变形镜作为波前校正器、变形镜本征模为波前复原控制算法以及高分辨率Shack-Hartmann波前传感器为波前探测器的自适应光学实验系统。实验结果表明：变形镜本征模可以实现模式筛选,也可作为自适应光学系统的波前复原算法。     

光束旋转90°多程放大系统的波前误差校正

光束通过神光-Ⅲ原型装置四程放大系统发生了90°旋转和扩束。在四程放大系统腔镜处放置变形镜校正系统像差是一种新的自适应光学方案，推导出被校正像差与变形镜面形之间的数学关系。理论推导表明，在扩束比大于1的前提下，腔镜处变形镜可以校正系统输出的任意类型的像差，且变形镜对应的面形唯一。理论分析和计算仿真说明该方案的校正能力与像差类型和扩束比有关，扩束比增大将增强变形镜校正像散的能力，但系统旋光消像散的能力也将减弱。     

Towards a solid-state ring laser gyroscope

In this paper, we report our recent progress towards a solid-state ring laser gyroscope (RLG), where mode competition is circumvented by active control of differential losses, and nonlinear effects are mitigated by longitudinal vibration of the gain medium. The resulting dynamics is significantly different from that of a classical helium–neon RLG, owing in particular to parametric resonances that occur when the Sagnac frequency is an integer multiple of the crystal vibration frequency. We describe the main experimental and theoretical results obtained so far, and the prospects of practical applications in the near future.     

高功率固体激光装置哈特曼传感器参考波前标定方法

 在高功率固体激光驱动器中,参考波前标定是自适应光学系统应用过程中的关键技术之一。基于国内某大型激光原型装置光路特点,对比研究了两种不同的参考波前标定方法,详细分析了两种方法的标定过程和影响标定结果准确性的主要因素,选取了较为准确的参考波前标定结果。基于该参考波前,对AO系统闭环和开环条件下的远场进行了对比测试,实验证明了标定结果的有效性。该研究结果成功应用于该激光原型装置的AO系统波前补偿实验。     

自适应光学中扩展信标波前探测的研究与实验

讨论了一种基于Hartmann Shack (H S)传感器的扩展信标相关波前探测方法。通过在传统H S探测光路的物平面上加入视场光阑消除了子孔径像斑的重叠问题 ,并利用一种快速相关算法计算各像斑的相对位移 ,进而得到各子孔径波前的相对斜率。光学实验研究证实了该相关波前探测方法能够较精确地测算出波前像差 ,从而使目前使用最多的H S传感器具有扩展信标波前探测能力     

A center detection algorithm for Shack–Hartmann wavefront sensor

A modified center position detection algorithm of the spot image for the Shack–Hartmann wavefront sensor was experimentally investigated. The modified center of weight algorithm uses some power from the gray level intensity of the spot images instead of the gray level intensity itself. From the experiments, the repeatability and accuracy of the center position detection of the spot images which used the algorithm were improved when compared with those using the conventional center of weight algorithm. Applications of the algorithm to the measurement of the displacement of the spot images of the Shack–Hartmann wavefront sensor and the experimental results of the closed-loop wavefront correction are described in this paper.     

Laser Doppler velocimeter using a single longitudinal mode solid-state laser source

An experimental demonstration of using a single longitudinal mode solid-state laser source in laser Doppler velocimeter (LDV) is presented. The technology of frequency spectrum correction is used in processing Doppler signal. The results of the experiments show that: the magnitude and signal-to-noise ratio (SNR) of Doppler signal are both enhanced by the solid-state laser; the measurement accuracy of LDV is improved by the technology of frequency spectrum correction, and the variance of the measured Doppler frequency is larger than the Cramer-Rao low bound (CRLB) of Doppler frequency about one order of magnitude.     

A comparison of the Shack-Hartmann and pyramid wavefront sensors

The performance of two wavefront sensors, the Shack-Hartmann and the pyramid wavefront sensor, for use in a closed-loop adaptive optics system, are compared. Their theoretical performance is derived and compared to simulations. We quantify the advantages of the pyramid sensor under normal operating conditions, and discuss the possibilities of achieving this in practice.     

Configuration optimization of laser guide stars and wavefront correctors for multi-conjugation adaptive optics

Multi-conjugation adaptive optics(MCAOs) have been investigated and used in the large aperture optical telescopes for high-resolution imaging with large field of view(FOV).The atmospheric tomographic phase reconstruction and projection of three-dimensional turbulence volume onto wavefront correctors,such as deformable mirrors(DMs) or liquid crystal wavefront correctors(LCWCs),is a very important step in the data processing of an MCAO's controller.In this paper,a method according to the wavefront reconstruction performance of MCAO is presented to evaluate the optimized configuration of multi laser guide stars(LGSs) and the reasonable conjugation heights of LCWCs.Analytical formulations are derived for the different configurations and are used to generate optimized parameters for MCAO.Several examples are given to demonstrate our LGSs configuration optimization method.Compared with traditional methods,our method has minimum wavefront tomographic error,which will be helpful to get higher imaging resolution at large FOV in MCAO.     

Depolarization loss compensated resonator for electro-optic Q-switched solid-state laser

A novel laser resonator for compensating depolarization loss that is due to thermally induced birefringence in active rod is reported. As this new structure being applied to an electro-optic Q-switched LDA side-pumped Nd:YAG laser operating at a repetition rate of 1000 Hz, substantial reduction in depolarization loss has been observed, the output pulse energy is improved about 56% from that of a traditional resonator without compensation structure. With incident pump energy of 450 mJ per pulse, linearly polarized output energy of 30 mJ per pulse is achieved, the pulse duration is less than 15 ns, and the peak power of pulse is about 2 MW. The extinction ratio of laser beam is better than 10:1, and the beam divergence is 1.3 mrad with beam diameter of around 2.5 mm.     

自适应光学系统几种随机并行优化控制算法比较

 直接对系统性能指标进行优化是自适应光学系统中一种重要的波前畸变校正方法,选择合适的随机并行优化控制算法是该技术成功实现的关键。以32单元变形镜为校正器,基于多种随机并行优化算法建立自适应光学系统仿真模型。从算法的收敛速度、校正效果、局部极值3个方面对遗传算法、单向扰动随机并行梯度下降、双向扰动随机并行梯度下降及模拟退火算法进行了比较。仿真结果表明,遗传算法收敛速度太慢,不适用于需要实时控制的自适应光学系统;双向扰动随机并行梯度下降算法收敛速度、校正效果要优于单向扰动随机并行梯度下降,且能够适应各种情况下的扰动电压;模拟退火几乎以概率1收敛到全局极值附近,且收敛速度是上述算法中最快的。     

用于白天自适应光学的波前探测方法分析

提出了两种视场偏移哈特曼波前传感器，用于探测白天条件下强背景中目标信号的波前信息.给出了哈特曼波前传感器子孔径中焦面上天光背景非均匀性分布特征的实验结果，详细分析了基于分光棱镜的双焦面视场偏移哈特曼波前传感器的探测误差，并通过基于倾斜镜的单焦面视场偏移哈特曼波前传感器实验给出了波前测量的结果，证明视场偏移哈特曼波前传感器能够精确、稳定的测量白天条件下目标信号的畸变波前信息，同时给出了其在白天条件下探测能力的估算结果及其受限因素，估算结果表明云南天文台的自适应光学系统在10 W/m²·sr天光背景条件下应用视场偏移哈特曼波前传感器能对5等星(可视星等值)目标进行准确的波前探测. 关键词： 自适应光学 波前传感器 白天工作 误差分析