利用相位差法测量望远镜像差

大气湍流引起的动态波前畸变和望远镜的像差是限制望远镜分辨力的主要因素,如何准确地测量望远镜的像差是进一步提高望远镜分辨能力的关键问题。相位差法利用在焦面和离焦面上同时采集到的短曝光图像,恢复出瞬时波前相位分布,然后根据大气湍流的统计特性进行平均,可以实现对望远镜像差的估计。通过计算机模拟实验,对利用相位差法恢复光瞳上的波前相位和测量望远镜像差进行了研究。模拟研究结果表明,利用相位差法能有效地估计出望远镜像差,估计均方根误差约为0.08个波长。     

Shack-Hartmann波前传感器在光学检验中的应用

介绍用于光学检测的Shack-Hartmann(S-H)波前传感器,以及相应的检测实验结果。在实验室内,通过与Zygo干涉仪的测量结果对比,得出传感器的测量精度优于/50 RMS(=632.8 nm)。在外场利用星光作为光源,对口径1 m、焦距11 m的望远镜进行了系统波像差检验,测量结果为0.39~0.46RMS之间,并随着俯仰角的增加而增大,主要像差形式为三阶像散。     

Impact of telescope seeing on laser adaptive optics

Atmospheric turbulence in the internal light path of a telescope produces noncommon path phase differences that degrade the image quality of adaptive-optics systems employing laser guide stars. The spatial covariance and rms wavefront errors produced by this effect are derived. It is found that the tilt-removed wavefront error ranges from about 12 nm for a representative 30 m telescope to 59 nm for a 100 m telescope of similar optical design. For adaptive-optics systems that aim to derive tip-tilt information from the laser guide stars the error is considerably larger, ranging from 22 nm for the 30 m telescope to 256 nm for the 100 m telescope. This effect can be a significant impediment to the performance of such systems.     

利用相位差异技术校准非共光路静态像差

提出了一种用相位差异(PD)技术对自适应光学(AO)系统的非共光路静态像差进行校准的方法。相位差异技术通过采集焦面和离焦面的单帧或多帧短曝光图像来估算波前相位畸变,同时对目标图像进行恢复。在闭环工作条件下,自适应光学系统利用相位差异算法在线检测成像光路的静态像差,并将得到的像差系数转化为变形镜的初始化面形,从而补偿非共光路的静态像差。实验结果表明,校准后的成像质量显著提高,目标半峰全宽降低了约14%,系统残差降低了约72%。成像光路在线检测得到的系统残差与闭环回路实测残差的水平趋于一致,证实了相位差异技术应用于光学检测的能力。该方法具有在无需改变原有自适应光路以及高信噪比条件下便可精确解算系统像差的优点,是大口径光电成像系统较为理想的光学检测技术之一。     

用像差逐项优化法装调离轴三反射镜光学系统

在对复杂光学系统粗装调完成之后 ,利用自准干涉检验的办法 ,采集光学系统各视场的干涉图 ,然后用干涉条纹分析软件算出整个系统波前误差 ,其量值用泽尼克系数来表示 ,通过泽尼克系数与系统的波像差的关系 ,判断要调整的目标值 ,即当前在光学系统中占主导地位的波前误差 ,对主导误差优化 ,得到系统的失调量 ,由光学设计软件确定其正确后 ,进行一次精密装调。然后进行多次这样的计算机迭代和优化 ,直到光学系统达到最好的调整状态。运用此方法来装调大口径 ,长焦距离轴三反射镜系统 ,在波长λ等于 6 32 .8nm时 ,该离轴三反射镜系统中心视场波像差均方根值达到了 0 .0 94λ ,+1°视场和 - 1°视场的均方根值分别为 0 .10 6λ和 0 .12 5λ。     

Combinational-deformable-mirror adaptive optics system for compensation of high-order modes of wavefront

A new kind of adaptive optics (AO) system, in which several low spatial frequency deformable mirrors(DMs) with optical conjugation relationship are combined to correct high-order aberrations, is proposed.The phase compensation principle and the control method of the combinational AO system are introduced.The numerical simulations for the AO system with two 60-element DMs are presented. The results indicate that the combinational DM in the AO system can correct different aberrations effectively as one single DM with more actuators, and there is no change of control method. This technique can be applied to a large telescope AO system to improve the spatial compensation capability for wavefront by using current DM.     

Unbalanced nulling interferometer and precise wavefront control

A nulling interferometer was proposed to achieve direct detection of extra-solar planets (exoplanets) by suppressing light from the central star using a pair of telescopes. Recently, the stellar coronagraph method has shown rapid progress, which uses an extended concept of the nulling interferometer within single telescope optics. A dynamic range larger than 1 × 10⁹ for the detection of Earth-like exoplanets can be attained by reducing diffraction patterns using the nulling coronagraph, and by suppressing speckle noise using an adaptive optics with an accuracy of λ/10000 rms. An unbalanced nulling interferometer (UNI), which is used as fore-optics, improves the wavefront sensing sensitivity and compensation level of the adaptive optics by a factor of 10. Consequently, the dynamic range of the coronagraph can also be improved by two orders of magnitude. The UNI is composed of a modified coronagraph or a traditional interferometer and magnifies the aberrations of incoming wavefronts.     

用哈特曼法研究自由旋涡气动窗口光束质量

 利用37单元哈特曼波前传感器实验研究不同工作条件下不同时刻自由旋涡气动窗口对输出激光波前的影响。将高速CCD所采集的畸变激光波前传送给高速波前处理机，采用模式法对其进行波前重构，进而计算给出畸变波前的波像差峰谷值、波像差均方根和斯特列尔比值等相关光学参数随气动窗口工作条件不同的变化曲线。结果表明，自由旋涡气动窗口对输出激光波前的影响主要是光束偏转和离焦，特别是气动窗口工作在设计状态时，其余低阶及高阶像差都比较小，能够满足实际需要。哈特曼波前传感器能很好地用于自由旋涡气动窗口对激光波前影响的二维动态测量，并能给出波前畸变的各项Zernike多项式的模式系数得到畸变波前，直接为气动窗口与强激光发射系统的对接和波前校正提供数据。     

The study of wavelength-dependent wavefront aberrations based on individual eye model

Theoretical calculations of the wavelength dependence of the ocular wavefront aberrations are performed with individual eye model. Individual eye model, based on the traditional Gullstrand-Le Grand eye model, has been established with measured individual cornea data, eyeball depth and wavefront aberrations. We analyze the wavelength-dependent wavefront aberrations at 12 different visible wavelengths (between 400 and 750 nm) for eight eyes. The change of defocus with wavelength (longitudinal chromatic aberration, LCA) is noticeable, and in good agreement with the results from references. In most cases, the primary spherical aberration changes significantly with wavelength. In comparison with the primary spherical aberration, the other higher-order wavefront aberrations have a smaller change with wavelength. These results have potential applications in those situations where defocus or higher-order wavefront aberrations information in arbitrary wavelength is required.     

用于非完全校正自适应光学系统的人造导星

讨论了使用激光导星的非完全补偿自适应光学望远镜性能与导星亮度之间的关系,给出子孔径上剩余波前误差均方根值大于0.10λ,子孔径直径大于大气相关长度r_o时为产生瑞利导星和Na导星分别需要的激光能量.     

On-ground simulation of optical links for free-space laser communications

A method of on-ground simulation of optical links for free-space communications by Fourier-transform, image magnification and wavefront sampling with limited apertures was proposed. An optical simulator for free-space laser links was designed, which has the range of equivalent links distances from 160,000 km to 25 km. It can be used for the evaluation of communication performances of optical links in space, particularly for measuring the bit error rate under a constant transmission distance or for testing the equivalent transmission distance under a constant bit error rate. System analysis indicates that the wavefront aberrations of Fourier-transform lens have the main influence on the measurement results. But these effects can be corrected only if the RMS value of wavefront aberrations of Fourier-transform lens on the work aperture is known. Simulation experiment further shows that this method will be feasible by providing excellent optical devices and fine calibration accuracy and by overcoming the environmental disturbances.     

定量检验光学元件面形的数字刀口仪技术研究

在传统刀口仪的基础上,提出一种数字化刀口仪,利用该刀口仪可实现球面光学元件表面面形的定量检验。介绍数字刀口仪的组成、工作原理及测试过程等,并利用该刀口仪对一个半径为1000mm,口径为160mm的球面光学元件的面形进行了实际测量,给出了光学元件均方根值和峰谷值测量结果,最后对测量结果进行了讨论。     

Measurement Accuracy in Phase-Shifting Point Diffraction Interferometer with Two Optical Fibers

A phase-shifting point diffraction interferometer (PS/PDI) with point sources of two single mode optical fibers has been developed, which will be appropriate for the surface figure measurement of large aperture optics on a sub-nanometer scale. To reduce the measurement error factors, a fiber optic plate (FOP) is used as a projection plane for interference pattern. Errors caused by imperfection of optical alignment, such as position of point sources and tilt of FOP, are minimized by analyzing the measured phase data with an original method. Measurement accuracy in the PS/ PDI is estimated with the interference pattern produced by the two optical fiber sources. If inhomogeneity of the FOP and a systematic error of the PS/PDI are eliminated, the measurement accuracy of the present system is estimated to be less than 4nm P-V and 0.7nm rms, respectively, at a measurement wavelength of 632.8 nm.     

Wolter-I型聚焦镜热变形数值研究

为了给聚焦镜热控及支撑结构优化设计提供依据,对爱因斯坦探针项目中的后随X射线望远镜的镜片组进行了三维全尺寸建模与有限元分析.研究了轴向、径向两种温度梯度,以及有、无支撑结构对镜片组形变的影响,并对面形误差与温差范围的关系进行了探究.结果表明:对于无支撑结构,轴向温度梯度下面形误差与半径关系接近线性关系,径向温度梯度下则接近分段二次关系;支撑结构发生热变形时,会使镜片组产生与之对应的面形误差,令同相圆度误差转变为异相圆度误差,并使镜片组整体面型误差峰谷值增加32.25%~123.01%,均方根值增加4.13%~5.14%;对于有支撑结构,热致面形误差与温差成正比,温差每增加1℃,轴向温度梯度下,面形误差峰谷值与均方根值分别增加7.76μm、1.12μm,而对于径向温度梯度则分别增加9.67μm、1.60μm.聚焦镜片热致面形误差在一定情况下与镜片尺寸、温差成线性关系,并受到支撑结构变形的显著影响.     

大口径望远镜波像差的外场检验方法

为在外场环境下对大口径望远镜进行系统波像差的检验,研制了一套具有高探测能力的Shack-Hartmann波前传感器.利用恒星作为光源,对口径1 m、焦距11 m的大口径望远镜进行了波像差检验实验,测量结果为系统波像差在0.39λ~ 0.46λ RMS之间,且随着俯仰角的增加而增大,主要像差形式为3阶0°像散,与星点检验的结果一致.     

大口径高精度方形平面光学元部件的研制

采用环行抛光技术是实现大尺寸、高面形精度和细表面粗糙度要求的方形或长方形平面元件批量化加工的一条有效途径。介绍了利用环行抛光工艺实际制作了两块 32 0mm× 32 0mm× 35mm和 32 0mm× 32 0mm× 48mmUBK7材料的工艺实验样品。加工结果是 ,透射元件获得了镀膜后双次透射波前 0 2 93λ(P V ,λ =0 632 8um )和反射元部件的反射波前 0 2 2λ(P V ,λ =0 632 8um )的结果。     

利用Offner光学系统进行图像恢复和光学检测

设计了一种Offner光学系统,用于基于相位差异技术的图像恢复和光学系统波像差的辅助检测。该Offner光学系统采用同轴抛物面反射镜作为Offner反射镜,以高速CCD相机和Shack—Hartmann波前探测器作为接收元件,能完好地消除复色光源在图像恢复过程中带来的色差;设计的RMS波像差小于a／50（A=632．8nm）,结构简单,容易实现。利用该系统分别以分辨率板和光纤光源为目标进行了图像恢复实验,经过恢复后的图像分辨率提高了19％。此外,利用该系统,采用相位差异算法解算了系统波像差,并与Shack—Hartmann波前探测器的测量结果进行了比较。比较显示两者的RMS波像差测量值相差5％,证明该系统同样能够进行光学波前检测。     

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.     

透镜自重变形引起波像差的有限元分析

在用大口径、长焦距平行光管模拟激光远场特性时,其光组透镜在重力作用下的变形不能忽略,为了分析对出射光束质量的影响,采用有限元分析软件“ANSYS”建立了平行光管光组中声400mm平凸透镜的有限元模型,给出一种分析透镜轴向变形引起的波像差的方法,在不同工况下,计算了平凸透镜在重力作用下轴向变形的峰谷值和均方根值,对轴向变形量均方根值最小工况画出了透镜表面变形的等值线图,计算了声350mm通光口径内的波像差峰谷值和均方根值,对平行光管光组的波像差做出估计,验证了设计的合理性。     

基于优化探测窗口的光斑质心探测方法

 哈特曼-夏克波前传感器进行波前探测时，用子孔径光斑强度的一阶矩来计算光斑质心位置，子孔径窗口作为探测窗口，但探测时子孔径窗口内噪声对一阶矩有很大的影响，会使质心探测精度产生很大的误差。因此在计算质心位置时探测窗口的选取对探测精度有重要影响，必须选取合适的探测窗口来提高光斑质心探测精度。为此，在传统算法的基础上提出优化探测窗口的方法来提高质心探测精度,仿真和实验结果表明新方法提高了质心探测的精度，未经处理的高噪声恢复波前的波前残差峰谷值是2.851 4λ，均方根值是0.606 3λ，优化探测窗口后波前残差的峰谷值是1.636 2 λ，均方根值是0.367 1 λ，重构误差减小了40％。证明了算法的可行性和稳定性。