空间拼接主镜望远镜共相位检测方法

总结了常用的共相位检测方法,分析了各种方法的特点及其用于空间望远镜在轨检测的适用性.提出了一种新的基于色散瑞利干涉原理的共相位误差检测方法和相应的干涉条纹数据处理方法--二维色散条纹分析法.介绍了色散瑞利干涉法的基本原理,给出了其检测拼接主镜望远镜共相位误差的光路图.为验证所提出的方法,搭建了一套色散瑞利干涉仪检测共相位误差的实验验证装置.初步的实验结果表明所搭建的色散瑞利干涉实验装置的量程叮达到200μm,多次测量值的均方根误差(重复性)优于2 nm,共相位误差δ≤1 μm时,测量精度为6.56 nm,可以满足空基分块主镜望远镜在轨共相f{7=检测的要求.     

From Invariant Curves to Strange Attractors

We prove that simple mechanical systems, when subjected to external periodic forcing, can exhibit a surprisingly rich array of dynamical behaviors as parameters are varied. In particular, the existence of global strange attractors with fully stochastic properties is proved for a class of second order ODEs. Received: 10 January 2001 / Accepted: 10 July 2001     

移相干涉术的新方法—声光变频移相法

提出了一种变频移相的方法，并用声光器件作为变频移相器件进行了移相干涉实验，这种方法可以完成压电陶瓷移相方法无法实现的一些移相干涉测量。     

Chaotic behavior in differential equations driven by a Brownian motion

In this paper, we investigate the chaotic behavior of ordinary differential equations with a homoclinic orbit to a saddle fixed point under an unbounded random forcing driven by a Brownian motion. We prove that, for almost all sample paths of the Brownian motion in the classical Wiener space, the forced equation admits a topological horseshoe of infinitely many branches. This result is then applied to the randomly forced Duffing equation and the pendulum equation.     

Strange attractors and their periodic repetition

In this paper, we present some important findings regarding a comprehensive characterization of dynamical behavior in the vicinity of two periodically perturbed homoclinic solutions. Using the Duffing system, we illustrate that the overall dynamical behavior of the system, including strange attractors, is organized in the form of an asymptotic invariant pattern as the magnitude of the applied periodic forcing approaches zero. Moreover, this invariant pattern repeats itself with a multiplicative period with respect to the magnitude of the forcing. This multiplicative period is an explicitly known function of the system parameters. The findings from the numerical experiments are shown to be in great agreement with the theoretical expectations.     

Performance of dispersed active cophasing Rayleigh interferometer on the 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.     

Deflectometer with synthetically generated reference circle for aspheric surface testing

A deflectometer with a synthetically generated reference circle is proposed for aspheric surface testing. Rotation and translation movements are combined to realize laser scanning and make the measurement of the aspheric surface in polar coordinates. It effectively improves the measurement precision for aspheric surfaces with large relative aperture. The measuring equipment is calibrated using a defocused standard spherical surface, and it achieves a precision of λ/5–λ/10 (λ=0.6328 μm), which is close to the precision of the interferometric method (λ/20). This testing technique based on laser deflectometry is capable of measuring most kinds of aspheric surfaces, especially those with large asphericity and those of concave shapes. The feasibility of the technique is shown and experimental results are presented.     

一种光学非球面检测技术中的数据处理问题

本文介绍一种激光束平移转动法检测光学非球面,较好地克服了以往各种检测方法的局限性。文中着重介绍该方法的数学模型、精度分析、非球面参数拟合及面形质量评价等数据处理问题。以计算实例说明激光束平移转动法检测非球面具有通用性强、精度高、测量周期短等特点。