X射线脉冲星导航系统导航精度的研究

为提高X射线脉冲星导航系统的导航精度,提出了一种基于低通滤波器的恒比定时方法,以提高X射线脉冲星导航系统中X射线脉冲到达时间的测量精度.通过设计测量方案,对原有的峰值定时方法和改进后的恒比定时系统的定时精度和死时间进行测量.测量结果表明,峰值定时系统的定时精度和死时间分别为18和4750 ns,恒比定时系统的定时精度和死时间分别为0.78和105 ns,与原有的峰值定时系统相比,采用恒比定时系统的定时精度和死时间均得到明显的提高.在X射线脉冲星导航系统中,通过利用这两种不同定时系统来测量X射线光子的到达时间以构造累积脉冲轮廓.实验结果表明,与峰值定时系统相比,采用改进的恒比定时系统获得的累积脉冲轮廓的信噪比得到明显改善,因此,采用恒比定时系统的导航精度可得到提高.     

XFEL飞秒同步与定时系统中光纤长度变化的数字化监测(英)

分析了X射线自由电子激光装置对飞秒同步定时系统的技术需求。系统中采用光纤来传输定时/相位信息。而光纤的光长度会随温度的慢漂而改变,因此通过对比实验研究了温度慢漂对光纤长度变化的影响。研制了基于现场可编程门阵列（FPGA）的数字化相位和幅度检测器对光纤长度变化进行数据监测。百米光纤在典型昼夜温差下导致的时间延迟约6 ps。结果显示此数字化相位和幅度检测器可以用于飞秒同步定时系统的长度变化监测和稳定控制系统当中。     

刻线误差与面型误差对平面光栅光谱性能影响的二维快速傅里叶变换分析方法

光栅刻线误差与基底面型误差影响平面光栅衍射波前、分辨本领、鬼线、卫线及杂散光等光谱性能,研究光栅性能指标与光栅刻线误差及基底加工误差之间的因果关系,对提高光栅质量极为重要。根据光栅衍射中产生的源于刻线误差与面型误差的光程差,推导出了在光栅锥面衍射情况下的光栅刻线误差、基底面型误差、入射角θ、衍射级次m与衍射波前关系的数学表达式,得到构建非理想光栅衍射波前的理论模型。以理论模型为依据,采用干涉仪测量光栅对称级次衍射波前,实现在测量结果中对光栅刻线误差与基底面型误差的分离,并基于二维快速傅里叶变换分析光栅衍射波前,考察了刻线误差与面型误差对光栅性能指标的影响。借助此方法通过重构的光栅衍射波前,分析光栅分辨本领、鬼线等光谱性能,还可以反演光栅全表面刻线误差与面型误差的大小,为光栅基底加工、光栅制造和使用技术提供理论依据。     

弹光调制非等相位干涉信号的快速光谱反演算法

在弹光调制傅里叶变换光谱仪(PEM-FTS)中,由于调制光程差的非线性,不能直接采用快速傅里叶变换(FFT)进行反演光谱,且直接计算开销过大。首先在Matlab软件中用非均匀快速傅里叶变换算法(NUFFT)对PEM非等相位干涉信号进行了软件仿真,其次设计了以TMS320C6713高性能浮点数字信号处理器(DSP)芯片为核心的光谱信息处理系统,实现了硬件上的光谱实时处理。研究表明,算法对光谱反演具有速度快、精度高等优点,1024点光谱反演的速度较直接运算的速度提高20多倍,反演精度可达0.78%。     

Fast algorithms for component-by-component construction of rank- lattice rules in shift-invariant reproducing kernel Hilbert spaces

We reformulate the original component-by-component algorithm for rank- lattices in a matrix-vector notation so as to highlight its structural properties. For function spaces similar to a weighted Korobov space, we derive a technique which has construction cost , in contrast with the original algorithm which has construction cost . Herein is the number of dimensions and the number of points (taken prime). In contrast to other approaches to speed up construction, our fast algorithm computes exactly the same quantity as the original algorithm. The presented algorithm can also be used to construct randomly shifted lattice rules in weighted Sobolev spaces.

     

Trading Inversions for Multiplications in Elliptic Curve Cryptography

Recently, Eisenträger et al. proposed a very elegant method for speeding up scalar multiplication on elliptic curves. Their method relies on improved formulas for evaluating S=(2P + Q) from given points P and Q on an elliptic curve. Compared to the naive approach, the improved formulas save a field multiplication each time the operation is performed. This paper proposes a variant which is faster whenever a field inversion is more expensive than six field multiplications. We also give an improvement when tripling a point, and present a ternary/binary method to perform efficient scalar multiplication.     

Analysis of isomeric tropane alkaloids from Schizanthus grahamii by very fast gas chromatography

This study presents a very fast GC analysis applied for the baseline separation of isomeric tropane alkaloids extracted from the stem-bark of Schizanthus grahamii (Solanaceae). The work provided a challenging application where isothermal analysis in conjunction with very short narrow bore columns (3 m x 100 microm ID and 1.5 m x 50 microm ID) was particularly suited for the speeding up. Experimental parameters were used in the optimisation steps, including selection of stationary phase, temperature, internal column diameter and optimal practicable gas velocity. Some considerations about sample injection in fast isothermal analysis are also briefly presented. Finally, the investigated approach allowed a very fast baseline separation of four positional and configurational isomers in less than 9 s.     

Real-time time-dependent density functional theory using density fitting and the continuous fast multipole method

An implementation of real-time time-dependent density functional theory (RT-TDDFT) within the TURBOMOLE program package is reported using Gaussian-type orbitals as basis functions, second and fourth order Magnus propagator, and the self-consistent field as well as the predictor–corrector time integration schemes. The Coulomb contribution to the Kohn–Sham matrix is calculated combining density fitting approximation and the continuous fast multipole method. Performance of the implementation is benchmarked for molecular systems with different sizes and dimensionalities. For linear alkane chains, the wall time for density matrix time propagation step is comparable to the Kohn-Sham (KS) matrix construction. However, for larger two- and three-dimensional molecules, with up to about 5,000 basis functions, the computational effort of RT-TDDFT calculations is dominated by the KS matrix evaluation. In addition, the maximum time step is evaluated using a set of small molecules of different polarities. The photoabsorption spectra of several molecular systems calculated using RT-TDDFT are compared to those obtained using linear response time-dependent density functional theory and coupled cluster methods.     

Simultaneous measurements of T1 and T2 during fast polymerization reaction using continuous wave‐free precession NMR method

Continuous wave‐free precession (CWFP) pulse sequence employing time domain nuclear magnetic resonance spectroscopy (TD‐NMR) was used to measure longitudinal (T₁) and transverse relaxation times (T₂), during the cure of a commercial epoxy resin (Araldite^TM) with a 10‐min solidification time. The intensity of the NMR signal after the first pulse and in the CWFP regime were used to monitor the concentration of the monomers, and the relaxation times were used to monitor the chain mobility. The main advantage of CWFP over the standard methods to measure relaxation times, inversion recovery (inv‐rec) for T₁ and Carr‐Purcell‐Meiboom‐Gill (CPMG) for T₂, is that the measurement of both relaxation times can be performed in a fast and single NMR experiment and, therefore, using a single reaction batch. CWFP is also as fast as the CPMG measurement but at least fivefold faster than the method to obtain T₁ using null point approximation in the inv‐rec method. Therefore, the CWFP sequence can be used as a fast and general method to measure relaxation times in polymerization reactions, even with fast solidification time. As a TD‐NMR technique, CWFP can be employed in any low‐cost bench top TD‐NMR equipment commonly used in an academic or industrial laboratory. Copyright © 2012 John Wiley & Sons, Ltd.     

Controllable synthesis of high loading LiFePO4/C nanocomposites using bimodal mesoporous carbon as support for high power Li-ion battery cathodes

Mesoporous LiFePO₄/C composites containing 80 wt% of highly dispersed LiFePO₄ nanoparticles (4–6 nm) were fabricated using bimodal mesoporous carbon (BMC) as continuous conductive networks. The unique pore structure of BMC not only promises good particle connectivity for LiFePO₄, but also acts as a rigid nano-confinement support that controls the particle size. Furthermore, the capacities were investigated respectively based on the weight of LiFePO₄ and the whole composite. When calculated based on the weight of the whole composite, it is 120 mAh·g^?1 at 0.1 C of the high loading electrode and 42 mAh·g^?1 at 10 C of the low loading electrode. The electrochemical performance shows that high LiFePO₄ loading benefits large tap density and contributes to the energy storage at low rates, while the electrode with low content of LiFePO₄ displays superior high rate performance, which can mainly be due to the small particle size, good dispersion and high utilization of the active material, thus leading to a fast ion and electron diffusion.