Low-cost segmented mirrors for aberration correction in small aperture systems

Two low-cost 3×3 and 4×4 segmented mirrors built for near-real time adaptive optics are described. The construction and performance characteristics of the mirrors are discussed and it is shown that they have the potential to provide very good correction of atmospheric aberration despite their low number of segments. Their use in an adaptive optics system is described.     

分块式变形镜的计算机模拟

本文提出了多种分块式变形镜方案,利用最佳波前匹配方法推导出了所提出的各种变形镜方案最佳参数的计算公式,并以补偿大气湍流能力的角度评价各种变形镜方案,通过计算机模拟获得了一些重要结论,为变形镜的实际制做奠定了必要的基础。     

低相干光源干涉系统在大口径拼接子镜间相位误差检测上的应用

针对大口径望远镜拼接式主镜,提出一种基于迈克耳孙干涉原理的低相干光源干涉检测系统.应用该系统对拼接子镜间相位失调误差进行实时检测.进而对失调子镜进行相应校正,以实现拼接子镜的共面排布.给出了低相干光源干涉检测系统的具体结构,叙述了干涉检测系统的检测原理,提出应用双中心波长组合低相干光源进行拼接子镜间相位误差检测,分析了系统最低信噪比.结果表明,双中心波长组合低相干光源系统,可以提高低相干光源下涉中心条纹的信号分辨能力.借以提高检测精度.使得低相干光源干涉测量系统对拼接子镜间的相位失调误差进行高精度提取.     

校正空间分块镜复位误差所需的最少自由度的确定

可收展式分块镜共相位成像技术是实现光学系统超大口径、超高分辨率成像的关键技术。分块镜复位误差会引起各子镜之间的共相位误差和整个拼接镜面的面形误差。合理确定校正分块镜复位误差所需的自由度具有非常重要的意义。计算机仿真分析了分块镜的复位误差对拼接镜面面形误差的影响。结果表明,所需的校正自由度的个数不仅与展开机构的复位精度有关,而且与分块镜镜面的几何参数有关。     

Performance of dispersed Rayleigh interferometer on the active cophasing and alignment testbed

We report the laboratory experiment on a segmented mirror testbed that shows the use of a dispersed Rayleigh interferometer to phase segmented mirrors.Segment alignment of tip-tilt is fulfilled by overlapping diffraction pattern centroids of the three individual segments on the focal plane.A spherical interferometer is introduced to evaluate the performance of piston, tip-tilt sensing, and control closed-loop, and finally a total residual root-mean-square (RMS) surface error of about 45 nm is achieved, in which a typical error of about 20 nm is contributed by piston.These results demonstrate that the dispersed Rayleigh interferometer can successfully sense the piston of segmented mirrors and be used in phasing segmented telescopes under extensive studies.     

适用于圆筒形增益区的同轴四镜腔的失调分析

采用矩阵光学方法,对适用于可见光的圆筒形增益区同轴四镜腔中的腔镜因倾斜而产生的失调特性进行了分析,给出了相关计算公式。该四镜腔由同轴的一个复曲面全反镜和两个光学玻璃加工的透镜和一个平面输出镜组成。以He-Ne激光器为例,给出了数值计算结果,关键元件复曲面镜的失调对输出的影响较大。这为腔元件的加工以及腔镜的安装调试提供了参考。     

High-power argon-ion laser with titanium covered beryllia discharge tube

A new type of discharge tube for high-power argon-ion lasers constructed of a segmented metal-ceramic compound system is described. Up to date, the system has been operating for 1500 h without failure. The maximum cw output is 140 W, limited by the destruction of the mirrors.     

衰荡腔测量中的腔参数选择

 基于谐振腔失调灵敏度参量随腔长的变化关系,提出了一种衰荡腔,它是由共焦腔将腔长缩短为原来的0.73得到的稳定腔。根据光束传输规律和失调腔矩阵方法,以及光腔衰荡法测量原理和曲线拟合方法,建立了腔长、腔镜角度失调下光腔衰荡法的反射率测量模型。通过数值模拟,研究了这种稳定衰荡腔中,腔微小失调对反射率测量结果的影响,并与相同失调情况下共焦衰荡腔的测量结果进行了对比分析。结果表明,这种稳定腔用作衰荡腔,测量结果受腔镜角度失调影响较大,而受腔长失调影响小;其长度较短,便于工程应用;衍射损耗较小,测量精度高。     

腔镜失调与面型误差对光束质量影响研究

 在准确测量腔镜面形加工精度的基础上，通过光学模拟软件ZEMAX实现了氧碘化学激光器折叠虚共焦非稳腔的光学建模，利用光腔模型进行了腔镜面形误差对光束质量影响的研究以及腔镜失调对光束波前影响的分析，在空腔的情况下利用调腔He-Ne激光进行了光束质量测量实验。实测结果与建模数据基本符合，验证了该方法的可行性。     

失调多腔镜型环形谐振腔共轭光轴位置精度分析

为了详细分析由多个反射镜构成的谐振腔内的闭合光轴(共轭光轴)的特性以及存在条件, 首先从光束传输坐标变换的角度, 分析了由多个平面镜所构成的谐振腔的共轭光轴存在条件, 得出了奇数平面镜谐振腔仅当平面镜间具有高精度的相同垂直度时才存在闭合光轴, 而偶数平面镜谐振腔总是存在闭合光轴的结论, 并给出了腔共轭轴随腔镜方向失调而产生的角度变化关系. 然后从矩阵光学的角度分析包含球面镜的谐振腔的共轭光轴在腔镜间传输时的方向变换问题, 具体分析了由两个平面镜和一个球面镜构成的三角形环形谐振腔的闭合共轭光轴存在的问题. 结果表明, 当不同的镜子出现角度偏差时, 腔内仍然存在闭合的共轭光轴, 并给出了对应的腔轴变化以及新谐振面的位置及方向. 由此表明由于球面镜的加入降低了谐振腔共轭轴存在性对平面镜间高精度平行度的要求, 为基于高品质光学无源腔的光谱测量技术的高精度装调工作提供了理论指导.     

The system design and assemble for the high resolution telescope system with segmented aperture

A design method along with its results, for a space optical system with high resolution and wide field of view, is described. Such optical systems can be used in the infrared as well as visible configurations. The proposed design is based on an on-axis Ritchey-Chrétien system with corrected lens element while the primary mirror is a segmented aperture. Here the on-axis concept allows wide-field enabling a variety of observations designed for the multi-object spectrometer instruments, optimized for low scattering and low emission of light. The use of segmented mirrors in the optical system allows adopting any method for its fabrication purposes. Segment results are discussed and the image quality of the design based on these results is evaluated in this paper.     

Harmonic oscillator Wigner function extension to exceptional polynomials

Continuous energy supply is critical and important to support oscillating behaviour; otherwise, the oscillator will die. For nonlinear and chaotic circuits, enough energy supply is also important to keep electric devices working. In this paper, Hamilton energy is calculated for dimensionless dynamical system (e.g., the chaotic Lorenz system) using Helmholtz’s theorem. The Hamilton energy is considered as a new variable and then the dynamical system is controlled by using the scheme of energy feedback. It is found that chaos can be suppressed even when intermittent feedback scheme is applied. This scheme is effective to control chaos and to stabilise other dynamical systems.     

A simple method for automatic cavity alignment of a solid-state laser

Misalignment of a laser cavity would result in the displacement of beam location on the cavity mirrors. We present a simple method for automatic cavity alignment of a solid-state laser through detecting the location of the laser beam on the rear mirror, with which neither external alignment beams nor modifications to the cavity are required. The rear mirror of the laser cavity is replaced by a tip/tilt mirror to compensate for the misalignment. Experiments show that this method could effectively correct the misalignment of the laser cavity and restore the output power to almost the original value when the resonator is well aligned.     

Investigation of a Unified Chaotic System and Its Synchronization by Simulations*

We investigate a unified chaotic system and its synchronization including feedback synchronization and adaptive synchronization by numerical simulations. We propose a new dynamical quantity denoted by K, which connects adaptive synchronization and feedback synchronization, to analyze synchronization schemes. We find that K can estimate the smallest coupling strength for a unified chaotic system whether it is complete feedback or one-sided feedback. Based on the previous work, we also give a new dynamical method to compute the leading Lyapunov exponent.     

新型折反射式椭球形整流罩光学系统的设计

提出了一种可用于指导非旋转对称、折反射式光学系统设计的Wasserman-Wolf曲面设计方法,并将其用于设计椭球形整流罩光学系统,得到的系统具有结构尺寸小的优点。利用最小二乘拟合的方法使系统初始结构兼顾各个扫描视场的像差校正需求,克服了以往只针对零视场计算校正元件初始参数致使扩展至整个扫描视场时系统评价函数难以收敛的弊端。同时,从平面对称的矢量像差理论出发,分析了平面对称反射镜的像差特性,阐述了在不同扫描视场中,利用反射镜倾斜来进行动态像差补偿的原理。设计了一套工作波段为中波红外的椭球形整流罩光学系统,该系统的调制传递函数(MTF)在整个扫描视场内接近衍射极限。     

大型光学天文望远镜风载作用分析

风载对光学天文望远镜结构和镜面的作用将直接影响望远镜的面形精度和跟踪指向控制,从而降低望远镜的像质。特别是未来大型望远镜越来越多地采用主动光学技术,风载的作用将是影响主动光学子镜的主动控制及望远镜整体性能的重要因素。回顾了大型望远镜风载作用的分析方法和随机风载的性质,详细介绍了采用风速功率谱密度方法进行随机风载分析的过程和采用有限元方法分析建模的方法;建立了一个拼接镜面主动光学望远镜的完整计算模型,研究了子镜及望远镜整体在风载作用下的静态和动态响应,并分析了风载对镜面面形和望远镜的跟踪指向精度的影响。     

Many-body energy localization transition in periodically driven systems

According to the second law of thermodynamics the total entropy of a system is increased during almost any dynamical process. The positivity of the specific heat implies that the entropy increase is associated with heating. This is generally true both at the single particle level, like in the Fermi acceleration mechanism of charged particles reflected by magnetic mirrors, and for complex systems in everyday devices. Notable exceptions are known in noninteracting systems of particles moving in periodic potentials. Here the phenomenon of dynamical localization can prevent heating beyond certain threshold. The dynamical localization is known to occur both at classical (Fermi–Ulam model) and at quantum levels (kicked rotor). However, it was believed that driven ergodic systems will always heat without bound. Here, on the contrary, we report strong evidence of dynamical localization transition in both classical and quantum periodically driven ergodic systems in the thermodynamic limit. This phenomenon is reminiscent of many-body localization in energy space.     

拼接式望远镜主镜衍射效应研究

拼接式主镜的设计使超大口径望远镜的构想成为现实。为了研究拼接式望远镜的成像性能,精确分析和量化了拼接式主镜构型、平移误差、倾斜误差对衍射效应的影响,从拼接式光学系统的成像原理出发,基于齐次坐标变换建立了拼接式主镜的光瞳模型,并仿真分析了拼接主镜构型对衍射效应的影响。分析结果表明:对于不同构型的拼接主镜,其衍射效应受拼接主镜的填充因子和孔径间隔共同影响,填充因子越高,孔径间隔越小,系统成像质量越好。以典型的拼接主镜构型为例,分别仿真分析了单个子镜平移误差、倾斜误差和拼接主镜整体平移误差、倾斜误差对衍射效应的影响。分析结果表明:对于单个子镜,平移误差对远场衍射的影响具有周期性;对于拼接主镜整体,当子镜piston误差的均方根值小于0.039λ时,斯特列尔比大于0.95;当子镜tip-tilt误差的均方根值小于0.036λ时,斯特列尔比大于0.95。分析结果为拼接式望远镜的成像性能分析、主镜的构型设计、平移误差和倾斜误差的检测与调整等提供了依据。     

Analytical design of nonlinear optical loop mirrors for fiber-optic communication systems

We propose an easy and efficient method for analytically designing nonlinear optical loop mirrors (NOLMs) for fiber-optic communication systems. This analytical design is based on a Taylor series expansion of the transfer function of the NOLM, from which highly stable dynamical regimes can be readily obtained for any desired pulse parameters. We present numerical simulations showing dramatically improved performances in a 160 Gb/s transmission system that incorporates the NOLMs designed analytically.     

Controlling Chaotic Behavior in a Bose-Einstein Condensate with Linear Feedback

The spatial structure of a Bose-Einstein condensate (BEC) loaded into an optical lattice potential is investigated and the spatially chaotic distributions of the condensates are revealed. A method of chaos control with linear feedback is presented in this paper. By using the method, we propose a scheme of controlling chaotic behavior in a BEC with atomic mirrors. The results of the computer simulation show that controlling the chaos into the stable states could be realized by adjusting the coefficient of feedback only if the maximum Lyapunov exponent of the system is negative.