光学非球面面形拟合方法研究

作者在研制一台高精度检测非球面仪器的过程中,探讨了二次和高次非球面面形方程参数的拟合方法。计算实例表明,线性化拟合法和非线性拟合法较圆满地达到了各种非球面面形拟合精度和实时处理的要求。     

Dissipative homoclinic loops of two‐dimensional maps and strange attractors with one direction of instability

We prove that when subjected to periodic forcing of the form certain two‐dimensional vector fields with dissipative homoclinic loops generate strange attractors with Sinai‐Ruelle‐Bowen measures for a set of forcing parameters (μ, ρ, ω) of positive Lebesgue measure. The proof extends ideas of Afraimovich and Shilnikov and applies the recent theory of rank 1 maps developed by Wang and Young. We prove a general theorem and then apply this theorem to an explicit model: a forced Duffing equation of the form © 2011 Wiley Periodicals, Inc.     

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.     

Strange Attractors in Periodically-Kicked Limit Cycles and Hopf Bifurcations

We prove the emergence of chaotic behavior in the form of horseshoes and strange attractors with SRB measures when certain simple dynamical systems are kicked at periodic time intervals. The settings considered include limit cycles and stationary points undergoing Hopf bifurcations.     

带酞基聚芳醚酮超滤膜的研究──Ⅰ带酞基聚芳醚酮超滤膜的制备与性能

以带酞基聚芳醚酮（ＰＥＫＭ）为膜材料，用相转换法制备了ＰＥＫ—Ｃ不对称超滤膜，研究了铸膜液的主要组分对膜的孔结构与超滤性能的影响。     

反渗透复合膜的制备和脱盐功能

以玻璃化温度高、强度大、易磺化和耐酸碱的带酞侧基的聚芳醚酮(PEK-C)为支撑膜材料,研究了PEK-C铸膜液组成及复合液配比等对PFT反渗透复合膜(PFT ROCM)制备及其脱盐功能的影响。 试剂与材料 糠醇(FA):化学纯。用前精制,三(2-羟乙基)异氰尿酸酯(THEIC)。熔点134～136℃。聚乙二醇-400(PEG-400):化学纯。DMF,DMAc,N-甲基吡咯烷酮(NMP)为分析纯,经脱水精制。异丙醇、硫酸为分析纯。十二烷基磺酸钠(SLS)化学纯。含酞侧基的聚醚醚酮PEK-     

Strange Attractors with One Direction of Instability

We give simple conditions that guarantee, for strongly dissipative maps, the existence of strange attractors with a single direction of instability and certain controlled behaviors. Only the d= 2 case is treated in this paper, although our approach is by no means limited to two phase-dimensions. We develop a dynamical picture for the attractors in this class, proving they have many of the statistical properties associated with chaos: positive Lyapunov exponents, existence of SRB measures, and exponential decay of correlations. Other results include the geometry of fractal critical sets, nonuniform hyperbolic behavior, symbolic coding of orbits, and formulas for topological entropy. Received: 25 April 2000 / Accepted: 17 October 2000     

时频域双重分析法抗干扰移相干涉术

针对移相干涉术易受振动、气流等扰动影响的问题,提出一种时频域双重分析法的抗干扰移相干涉测量方法.采集一系列连续移相的干涉图,通过对干涉图上各点时序光强进行频谱的宽带滤波提取到干涉图采集过程中真实的相位变化,对时序的相位变化信息进行线性统计得到各点初始相位的计算值.在干涉图帧数足够多的情况下,线性统计后随机噪声的影响趋于...     

Nonuniformly Expanding 1D Maps

This paper attempts to make accessible a body of ideas surrounding the following result: Typical families of (possibly multi-model) 1-dimensional maps passing through ``Misiurewicz points' have invariant densities for positive measure sets of parameters. The research of both authors is partially supported by grant from the NSF     

哈特曼波前传感器中采样点数的分析

随着哈特曼传感器测量口径的增大,采样点数对被测波前的空间分辨率、测量精度及动态范围的影响也随之增大,因此通过计算机仿真波前径向斜率拟合过程,分析出采样点数和斜率探测误差对测量精度和测量范围的影响。计算机仿真的波前斜率拟合所用泽尼克多项式达到121项,测量口径2m,测量精度要求λ/50,径向(半径)和切向最少采样点数分别为10点和21点。当径向和切向采样点数分别为40点和250点,斜率测量误差为0.045″时,所测波前的P-V值范围是0-4λ。