A slope-based decoupling algorithm to simultaneously control dual deformable mirrors in a woofer–tweeter adaptive optics system

We propose a slope-based decoupling algorithm to simultaneously control the dual deformable mirrors （DMs） in a woofer-tweeter adaptive optics system. This algorithm can directly use the woofer＇s response matrix measured from a Shack-Hartmann wave-front sensor to construct a slope-based orthogonal basis, and then selectively distribute the large- amplitude low-order aberration to woofer DM and the remaining aberration to tweeter DM through the slope-based orthogonal basis. At the same moment, in order to avoid the two DMs generating opposite compensation, a constraint matrix used to reset tweeter control vector is convenient to be calculated with the slope-based orthogonal basis. Numeral simulation demonstrates that this algorithm has a good performance to control the adaptive optics system with dual DMs simultaneously. Compared with the typical decoupling algorithm, this algorithm can take full use of the compensation ability of woofer DM and release the stroke of tweeter DM to compensate high-order aberration. More importantly, it does not need to measure the accurate shape of tweeter＇s influence function and keeps better performance of restraining the coupling error with the continuous-dynamic aberration.

Fuzzy Proportional Integral Derivative control of a voice coil actuator system for adaptive deformable mirrors

Research on adaptive deformable mirror technology for voice coil actuators(VCAs)is an important trend in the development of large ground-based telescopes.A voice coil adaptive deformable mirror contains a large number of actuators,and there are problems with structural coupling and large temperature increases in their internal coils.Additionally,parameters of the traditional proportional integral derivative(PID)control cannot be adjusted in real-time to adapt to system changes.These problems can be addressed by introducing fuzzy control methods.A table lookup method is adopted to replace real-time calculations of the regular fuzzy controller during the control process,and a prototype platform has been established to verify the effectiveness and robustness of this process.Experimental tests compare the control performance of traditional and fuzzy proportional integral derivative(Fuzzy-PID)controllers,showing that,in system step response tests,the fuzzy control system reduces rise time by 20.25%,decreases overshoot by 78.24%,and shortens settling time by 67.59%.In disturbance rejection experiments,fuzzy control achieves a 46.09%reduction in the maximum deviation,indicating stronger robustness.The Fuzzy-PID controller,based on table lookup,outperforms the standard controller significantly,showing excellent potential for enhancing the dynamic performance and disturbance rejection capability of the voice coil motor actuator system.

Bimorph deformable mirror based adaptive optics scanning laser ophthalmoscope for retina imaging in vivo

A bimorph deformable mirror （DM） with a large stroke of more than 30 μm using 35 actuators is presented and characterized for an adaptive optics （AO） confocal scanning laser ophthalmoscope application. Facilitated with a Shack-Hartmann wavefront sensor, the bimorph DM-based AO operates closed-loop AO corrections for hu- man eyes and reduces wavefront aberrations in most eyes to below 0.1 μm rms. Results from living eyes, including one exhibiting ~5D of myopia and ~2D of astigmatism along with notable high-order aberrations, reveal a prac- tical efficient aberration correction and demonstrate a great benefit for retina imaging, including improving resolution, increasing brightness, and enhancing the contrast of images.

Zonal decoupling algorithm for dual deformable mirror adaptive optics system

A zonal decoupling algorithm used to control a dual deformable mirror （DM） is proposed. One of the two DMs is characterized with a large stroke （woofer）, while the other one is characterized by a high spatial frequency （tweeter）. A numerical model is used to compare the zonal decoupling algorithm with some traditional zonal decoupling algorithms. The simulation results indicate that the algorithm presented in this Letter improves the performance in suppressing the coupling error. An experimental system is built to prove the effectiveness of this algorithm. The experiments demonstrate that the phase aberrations could be effectively compensated and that the coupling error could also be suppressed.

Thermal stability test and analysis of a 20-actuator bimorph deformable mirror

One of the important characteristic of adaptive mirrors is the thermal stability of surface flatness. In this paper, the thermal stability from 13℃ to 25℃ of a 20-actuator bimorph deformable mirror is tested by a Shack-Hartmann wavefront sensor. Experimental results show that, the surface P-V of bimorph increases nearly linearly with ambient temperature. The ratio is 0.11 μm/℃ and the major component of surface displacement is defocused, compared with which, astigmatism, coma and spherical aberration contribute very small. Besides, a finite element model is built up to analyse the influence of thickness, thermal expansion coefficient and Young＇s modulus of materials on thermal stability. Calculated results show that bimorph has the best thermal stability when the materials have the same thermal expansion coefficient. And when the thickness ratio of glass to PZT is 3 and Young＇s modulus ratio is approximately 0.4, the surface instability behaviour of the bimorph manifests itself most severely.

Numerical model of the influence function of deformable mirrors based on Bessel Fourier orthogonal functions

A numerical model is presented to simulate the influence function of de- formable mirror actuators. The numerical model is formed by Bessel Fourier orthog- onal functions, which are constituted of Bessel orthogonal functions and a Fourier basis. A detailed comparison is presented between the new Bessel Fourier model, the Zernike model, the Gaussian influence function and the modified Gaussian influence function. Numerical experiments indicate that the new numerical model is easy to use and more accurate compared with other numerical models. The new numerical model can be used for describing deformable mirror performances and numerical simulations of adaptive optics systems.

Wavefront correction of Ti:sapphire terawatt laser with varying precision of phase conjugation between deformable mirror and wavefront sensor

The phase conjugation between the deformable mirror and the wavefront sensor in the aberration correction of a terawatt Ti：sapphire laser is studied experimentally and theoretically in this paper. At varying values of phase- conjugation precision, we focus the corresponding beams into spots of the same size of 5.1 μm × 5.3 μm with a f/4 parabola in the 32 TW/36 fs Ti：sapphire laser system. The results show that the precision of conjugation can induce an intensity modulation but does not significantly affect the wavefront correction.

High-resolution visible imaging with piezoelectric deformable secondary mirror: experimental results at the 1.8-m adaptive telescope

Integrating deformable mirrors within the optical train of an adaptive telescope was one of the major innovations in astronomical observation technology,distinguished by its high optical throughput,reduced optical surfaces,and the incorporation of the deformable mirror.Typically,voice-coil actuators are used,which require additional position sensors,internal control electronics,and cooling systems,leading to a very complex structure.Piezoelectric deformable secondary mirror technologies were proposed to overcome these problems.Recently,a high-order piezoelectric deformable secondary mirror has been developed and installed on the 1.8-m telescope at Lijiang Observatory in China to make it an adaptive telescope.The system consists of a 241-actuator piezoelectric deformable secondary mirror,a 192-sub-aperture Shack-Hartmann wavefront sensor,and a multi-core-based real-time controller.The actuator spacing of the PDSM measures 19.3 mm,equivalent to approximately 12.6 cm when mapped onto the primary mirror,significantly less than the voicecoil-based adaptive telescopes such as LBT,Magellan and VLT.As a result,stellar images with Strehl ratios above 0.49 in the R band have been obtained.To our knowledge,these are the highest R band images captured by an adaptive telescope with deformable secondary mirrors.Here,we report the system description and on-sky performance of this adaptive telescope.

Design of deformable mirrors for high power lasers

We present the workflow of the design, realization and testing of deformable mirrors suitable for high power diode pumped solid-state lasers. It starts with the study of the aberration to be corrected, and then it continues with the design of the actuators position and characteristic. In this paper, we present and compare three deformable mirrors realized for multi-J level laser facilities. We show that with the same design concept it is possible to realize deformable mirrors for other types of lasers. As an example, we report the realization of a deformable mirror for femtosecond lasers and for a CW CO_2 laser.

热像仪的光轴热稳定性仿真及拓扑优化研究

热成像仪由于工作环境较为恶劣,且自身发热量较大,容易导致热像仪光轴发生热偏移,严重影响其瞄准性能。为了提高红外热像仪的光轴热稳定性,以某型热像仪光轴敏感部件——折转镜为主要研究对象,研究其在不同环境温度条件下的光轴变化情况,并通过构建折转镜的有限元仿真模型以及试验测试系统,获得与试验数据一致性较好的有限元模型;以此为基础,采用基于变密度法的拓扑优化仿真技术,以刚度最大化为设计目标,以体积分数为约束,对折转镜座进行了拓扑优化设计。通过试验测试得出,优化设计的折转镜座的光轴高温偏移量由46.1″减小到25.5″,减小了44.7%,折转镜座的光轴低温偏移量由92.9″减小到51.0″,减小了45.1%,极大地提高了折转镜的光轴热稳定性。最后,将优化后的折转镜安装到某型热像仪中进行整机试验测试,热像仪整机的高温光轴偏移量由0.461 mrad减小到0.340 mrad,下降了26.2%,低温光轴偏移量由0.485 mrad减小到0.296 mrad,下降了39.0%,证明了仿真与拓扑优化模型的可行性与有效性,为后续红外热像仪整机的轻量化设计与性能提升奠定了基础。

基于Seidel像差理论的离轴四反初始结构自动化设计方法研究

离轴反射系统设计的关键环节是确定适用初始结构并进行优化,一般从同轴结构或者专利库中寻找相似的结构开始优化,这往往需要耗费大量的时间。以Seidel像差理论为依据,研究了一种获取离轴四反系统初始结构的设计方法。在设计之初引入视场偏置,通过追迹近轴光线给出五种单色像差的初级Seidel像差表示。以Seidel像差绝对值最小化作为目标函数,同时加入对光学和系统结构上的限制条件构建含有约束条件的单目标非线性优化模型,并通过粒子群优化算法进行求解。在此基础上,通过MATLAB调用CODE V API接口,判断此视场偏置情况下是否满足无遮拦的条件,并从中挑选出满足条件的初始结构。设计了一款焦距为1200 mm,视场1.2°×20°,F数为6的离轴四反光学系统,系统结构布局紧凑,成像质量良好,各项指标均满足设计要求。

基于单压电变形镜的散斑抑制研究

针对激光的高相干性产生的散斑严重影响成像质量的问题,提出了一种基于单压电变形镜的散斑抑制方法。搭建了基于61单元压电变形镜的测试系统,研究了面形复杂度、幅值、更新频率对成像散斑对比度的影响。当参与工作的致动器数目为61,面形更新频率为2.6kHz,波前面形RMS为1.8μm时,散斑对比度降低到4%以下,此时散斑被明显抑制。实验结果表明面形复杂度越高、更新频率越快、幅值越大,得到的图像的散斑对比度越小,获得的图像信息越好。

137单元变形镜的性能测试及校正能力实验

自制了一个137单元分立促动器的连续镜面式变形镜,用于自适应光学相关技术的研究。首先,利用Zygo激光干涉仪对变形镜的静态性能进行了测试,包括面形测试、单个促动器的响应测试和耦合测试;然后,针对变形镜的校正能力,分别进行了Zernike多项式拟合和展平测试,并利用自适应光学实验平台实验验证了变形镜的校正能力;最后,利用搭建的快速响应测量平台测试了变形镜及其驱动电路的动态响应性能。测试及实验表明,137单元变形镜静态展平后的面形RMS值优于λ/50,PV值优于0.18λ(λ=632.8nm);能够对前7阶Zernike多项式进行较好的拟合和校正;变形镜及其高压驱动器的动态响应优于1kHz;该变形镜能使系统的Strehl ratio从小于0.1提高到优于0.9,明显改善了系统的成像能力。

自适应光学波前校正器技术发展现状

波前校正器是自适应光学系统中的关键部件,相关技术已得到了多年的积累与发展。本文介绍了多种目前常用的波前校正器件,包括分离促动器连续表面变形镜、拼接子镜变形镜、薄膜变形镜、双压电片变形镜、微电子机械系统变形镜以及基于液晶技术的空间光调制器和自适应次镜等,给出了它们的实现方式及其基本工作原理,并从空间校正频率和校正速度等方面对各校正器的性能进行了比较。最后,总结了在新应用的需求下,波前校正器件的技术创新及发展趋势。

固体板条MOPA激光光束质量主动控制

详细介绍了固体板条MOPA激光系统输出光束特性,包括光束近场强度分布、波前畸变空间特性和时间频率特性等,并以此为设计输入,研制了大动态范围高空间分辨率变形镜。研制的自适应光学闭环校正系统在强光条件下,实现了全程闭环控制,光束质量β因子平均值从开环7.4提高到4.06。根据当前波前闭环校正残差,提出了进一步提高MOPA系统输出光束质量的方法。

200单元硅基单压电变形镜的设计与测试

针对天文望远镜对变形镜的需求,设计了200单元级硅基单压电变形镜并对其进行了性能测试。首先,通过有限元方法对单压电变形镜进行结构建模,分析比较了电极排列形式和边界支撑方式对变形镜性能的影响。然后,制备了3款200单元变形镜样机(环形简支,环形固支,六边形简支)。最后,利用干涉仪测量了变形镜的影响函数,并通过激光多普勒测振仪测量其频响特性。仿真与实验结果表明:致动器在50V电压下变形量可达1μm,固支条件下谐振频率在1kHz左右,对前100项Zernike像差具有良好的校正能力。该变形镜在低成本天文自适应光学系统中具有应用潜力。

大口径轻量化主镜边缘侧向支撑的优化设计

对大口径主镜的侧向支撑结构进行了优化,以便最大限度地降低重力作用下的镜面变形。首先,从理论上给出了一种优化主镜边缘侧支撑结构的判据和思路,然后,引入边缘切向剪切侧支撑原理,阐述了这种支撑形式的优化思想和优势。以口径为2060mm的扇形轻量化主镜作为分析实例,采用16个边缘离散支撑点,优化设计等角间距侧向支撑,并针对轻量化主镜的结构特点和等角间距支撑下支撑力值相差较大的缺点,将等角间距改为不等角间距侧向支撑,分析推导了相应的支撑力公式。结果显示,改进后的支撑形式提高了系统的支撑刚度,镜面变形由原来的1.723nm降为1.633nm。所研究的边缘切向剪切支撑方式很大程度上保证了主镜镜面面形,对不同口径的扇形孔轻量化主镜的设计有普适性。

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。

61单元分立式压电变形反射镜的研制

由于６１单元自适应光学系统（ＡＯ）对分立式压电变形反射镜单元数（６１单元）和变形量的要求超过以往研制的变形镜，从理论分析到工艺研究采取措施，研制成功了用于系统实验的变形镜，顺利地完成了ＡＯ与跟瞄系统（ＡＴＰ）的对接，提高了ＡＴＰ的跟瞄精度。

基于模糊控制的自适应光学校正技术

自适应光学中普遍采用的比例-积分-微分(PID)控制严格依赖于变形镜的响应模型,响应模型的标定非常繁琐且性能容易随时间和温度而漂移.采用模糊控制摆脱了对变形镜响应模型的依赖,通过波面的快速重构,从波面中提取波面评价指标,将该评价指标及其微分作为模糊PID控制器的输入.选择模糊输入和输出论域的隶属度函数,设计出模糊规则库,通过模糊推理、解模糊等过程,对PID控制器的3个参数即比例kp、积分ki和微分kd进行模糊自整定,实现了自适应控制.采用高速数字信号处理器(DSP)设计了硬件验证测试平台,通过该平台的测试,证明该方法有效可行,在不需要变形镜响应矩阵的前提下,能够将光斑的衍射极限倍增因子β值从10—12校正到3—4,与传统的PID控制基本一致,但稳定性更好.因无需标定,故降低了变形镜的安装要求.