Wavefront reconstruction algorithm for wavefront sensing based on binary aberration modes

We propose a new algorithm for wavefront sensing based on binary intensity modulation. The algorithm is based on the fact that a wavefront can be expended with a series of orthogonal and binary functions, the Walsh series. We use a spatial light modulator(SLM) to produce different binary-intensity-modulation patterns which are the simple linear transformation of the Walsh series. The optical fields under different binary-intensity-modulation patterns are detected with a photodiode.The relationships between the incident wavefront modulated with the patterns and their optical fields are built to determinate the coefficients of the Walsh series. More detailed and strict relationship equations are established with the algorithm by adding new modulation patterns according to the properties of the Walsh functions. An exact value can be acquired by solving the equations. Finally, with the help of phase unwrapping and smoothing, the wavefront can be reconstructed. The advantage of the algorithm is providing an analytical solution for the coefficients of the Walsh series to reconstruct the wavefront. The simulation experiments are presented and the effectiveness of the algorithm is demonstrated.     

超短焦投影系统中自由曲面的多视场优化迭代 设计方法

为解决超短焦投影系统中自由曲面反射镜的设计难题,提出一种适用于大视场成像光学系统的自由曲面设计方法,即多视场优化迭代法.该方法以一个反射平面作为设计起始面,基于多视场下物像的对应关系,并根据反射面的法线方向,通过加权优化迭代计算得到自由曲面反射面的形貌.采用基于该方法得到的自由曲面优化设计了一种折反式超短焦投影物镜,可将0.65inch的数字微镜器件芯片在230mm投影距离处放大为100inch的投影画面.物镜的调制传递函数在0.43lp/mm处优于0.4,最大畸变优于1%.该方法简单易行,可为大视场成像系统中自由曲面的设计提供有益参考.     

Impact on the magnetic compressor due to CSR

When an electron bunch is compressed in a chicane compressor, the CSR (coherent synchrotron radiation) will induce energy redistribution along the bunch. Such energy redistribution will affect the longitudinal emittance as a direct consequence. It will also excite betatron oscillation due to the chromatic transfer functions, and hence a transverse emittance change. So, it is indispensable for us to find a way to alleviate the CSR-caused emittance dilution and the bad result of chicane compressor in PKU-FEL.     

SHPB混凝土实验中试件尺寸的影响（英文）

分离式霍普金森压杆(SHPB)实验常被用来获得混凝土类材料的动态压缩强度,所得数据对建立本构方程有重要作用,因此需要对其进行正确解释或分析。利用最新的混凝土材料模型研究了SHPB实验中试件尺寸的影响。藉由混凝土试件的体积考虑动态尺寸效应的影响,并提出了一个计算由于惯性(约束)效应引起的动态增强因子的新经验公式。结果表明:新经验公式与不同尺寸混凝土的SHPB模拟结果吻合得很好,且惯性(约束)效应引起的动态增强因子随着试件尺寸的增大而增大。     

Switching the direction of spin accumulation in the spin Hall effect of light by adjusting the optical axis of an uniaxial crystal

We theoretically and experimentally investigate a switchable spin Hall effect (SHE) of light in reflection near the Brewster angle at an air-uniaxial crystal interface. We find a large transverse spin splitting near the Brewster angle, whose sign can be altered by rotating the optical axis. As an analogy of the SHE in an electronic system, a switchable spin accumulation in the SHE of light is detected. We are able to switch the direction of the spin accumulation by adjusting the optical axis angle of the uniaxial crystal. These findings may give opportunities for photon spin manipulating and developing a new generation of nano-photonic devices.     

阴离子交换树脂再生型率和碳酸型率测定方法的研究

阴离子交换树脂的再生型率和碳酸型率是表征阴离子交换树脂的重要技术指标,文章在改进和优化ASTM D2187方法的原理和检测步骤的基础上,介绍了一种新的阴离子交换树脂再生型率和碳酸型率测定方法。该方法原理科学,适用范围广,重复性好,检测精度高,可操作性强,可用于再生型阴离子交换树脂、运行中及再生后的阴离子交换树脂的检测。     

4,6-二甲氧基-2-[甲氧脲基硫代脲基]嘧啶的合成、晶体结构和理论计算

利用2-氨基-4,6-二甲氧基嘧啶在干燥条件下与硫氰酸钾、氯甲酸甲酯在乙酸乙酯溶液中反应制得4-(4,6-二甲氧基嘧啶-2-基)-3-硫代脲酸甲酯, 在二甲基甲酰胺溶液中培养出单晶, 通过X射线单晶结构分析法测定分子结构和晶体结构, 晶体属单斜晶系, 空间群为C2/m, 晶胞参数为: a＝1.6672(3) nm, b＝0.66383(12) nm, c＝1.1617(2) nm, β＝109.275(2)°, V＝1.2136(4) nm³, D_c＝1.490 g/cm³, μ＝0.281 mm^－1, F(000)＝568, Z＝4, R₁＝0.0341, wR₂＝0.1042. 运用Gaussian 03程序, 在6-311G的基组水平上, 用HF, MP2以及B3LYP三种计算方法对标题化合物进行了几何全优化, 并对其成键情况及自然键轨道(NBO)进行了分析.     

对Fe-Ni-B催化剂合成的金刚石中含硼包裹物的研究

本文以自制的Fe基含硼合金作催化剂,石墨片作碳源,压力和温度分别为5.3GPa和1570K条件下,在六面顶压机上合成了0.6mm左右的含硼金刚石晶体.利用X射线衍射仪(XRD)分析了金刚石晶体的结构,证明金刚石是六方结构的.在光学显微镜下观察了金刚石的晶形,利用透射电子显微镜(TEM)和能谱仪(EDS)对金刚石晶体进行了微观分析,发现了多种含硼包裹物,包括(Fe,Ni)23(C,B)6,(Fe,Ni)3(C,B),(Fe,Ni)B,(Fe,Ni)2B,Ni3B,B4C等.研究了它们的化学组成与微观结构,并分析了含硼包裹物的来源与形成过程.结合金刚石的生长过程分析认为,合金触媒是金刚石中包裹物元素的主要来源,通过调整触媒的成份和含量可以控制金刚石内杂质元素的种类.硼元素在金刚石中既可以以化合物的形式存在,也可以替代碳原子存在于金刚石内.     

Lie symmetrical perturbation and adiabatic invariants of generalized Hojman type for Lagrange systems

Based on the invariance of differential equations under infinitesimal transformations of group, Lie symmetries, exact invariants, perturbation to the symmetries and adiabatic invariants in form of non-Noether for a Lagrange system are presented. Firstly, the exact invariants of generalized Hojman type led directly by Lie symmetries for a Lagrange system without perturbations are given. Then, on the basis of the concepts of Lie symmetries and higher order adiabatic invariants of a mechanical system, the perturbation of Lie symmetries for the system with the action of small disturbance is investigated, the adiabatic invariants of generalized Hojman type for the system are directly obtained, the conditions for existence of the adiabatic invariants and their forms are proved. Finally an example is presented to illustrate these results.     

在硅衬底上制备Si纳米线及其表征

采用以硅衬底为硅源的简单方法,在蘸有一层催化剂(0.05 M FeCl2·6H2O)薄膜的硅基片上直接制备了大量的单晶Si纳米线.用扫描电子显微镜(SEM)、透射电子显微镜(TEM)分别观察了硅纳米线的形貌及单根Si纳米线的显微结构.试验结果表明:随着温度的升高,纳米线的直径增大;催化剂是Si纳米线生成的重要因素,没有沉积催化剂的硅基片上不会有硅纳米线的生成,且该硅纳米线的生长机理为典型的气-液-固模式.