Analysis of circular bends in planar optical waveguides

Waveguides with circular bends are analyzed by means of a conformal transformation in conjunction with the WKB method of dealing with the nonuniform refractive index that results from the transformation. The result is a prediction of the operational parameters of the bent guide, including the loss. The transformation makes possible an intuitive understanding of the cause of the loss.     

Raman spectroscopic investigation on femtosecond laser induced residual stress and element distribution in bismuth germanate glasses

Localized microstructure and elemental redistribution were induced in bismuth germanate glasses by irradiation with high repetition rate 800 nm femtosecond laser pulses. The confocal Raman spectra were examined to study the redistribution of elements and residual thermal stress. The microscopic Raman spectra indicated that the residual thermal stress increases from the unmodified region to the center of the laser modified region, while Bi is enriched at the boundary area of the inner structure of the laser modified region relative to Ge. Electron microprobe analysis further confirmed the elemental redistribution of Bi and Ge, which agrees well with the Raman spectral analysis. Copyright © 2012 John Wiley & Sons, Ltd.     

随机扰动下Lorenz混沌系统的自适应同步与参数识别

本论文研究了具有随机扰动和未知参数的Lorenz混沌系统, 其中随机扰动是一维标准Wiener随机过程. 基于随机李雅普洛夫稳定性理论、Itô (伊藤)公式以及自适应控制方法, 本文分别通过设置三个和两个控制器,从理论上提出了两个均方渐近自适应同步标准, 这些标准简单易行,不仅能使得随机扰动下的驱动系统和响应系统达到均方渐近同步, 而且能同时识别出系统中的未知参数. 最后的Matlab数值模拟验证了提出的理论结果的正确性和有效性. 关键词： 随机扰动Lorenz混沌系统 自适应同步 随机李雅普洛夫稳定性理论 参数识别     

新型非临界相位匹配KTA-OPO 2 μm激光器

首次提出了一种基于非临界相位匹配KTA光参量振荡的新型2 m脉冲激光技术。采用激光二极管(LD)端面泵浦Nd:YVO4晶体实现1.3 m振荡,腔内泵浦非临界相位匹配切割的KTA晶体,初步实现了超过1 W的2.1 m波段激光输出,光光转化效率10%,脉宽3.4 ns (30 kHz)。相对于其他方式获得的2 m波段激光,具有脉宽窄、峰值高、谱线纯等优点,是一种获得2 m波段激光的有效新途径。     

LD端面抽运Nd:YLF/KTA连续光参量振荡激光

采用非临界相位匹配切割,尺寸5mm×5mm×20mm的KTA作为非线性光学晶体,进行了基于半导体激光端面抽运Nd:YLF/KTA的内腔式连续光学参量振荡激光研究,获得了中红外3.5μm波段的连续激光输出。为了提高连续光参量振荡腔内信号光的功率密度,降低激光输出阈值,采用对信号光高反射的单谐振腔结构进行激光实验。在8.35W的抽运功率下,分别获得了335mW和110mW的3440nm和1505nm的激光输出,对应的总转换效率达到了5.6%。该实验研究表明半导体激光端面抽运的内腔式KTA连续光学参量振荡也能获得高效的中红外激光输出。     

Impact of Effective Stress and Matrix Deformation on the Coal Fracture Permeability

The permeability of coal is an important parameter in mine methane control and coal bed methane exploitation because it determines the practicability of methane extraction. We developed a new coal permeability model under tri-axial stress conditions. In our model, the coal matrix is compressible and Biot’s coefficient, which is considered to be 1 in existing models, varies between 0 and 1. Only a portion of the matrix deformation, which is represented by the effective coal matrix deformation factor $f_\mathrm{m}$ , contributes to fracture deformation. The factor $f_\mathrm{m}$ is a parameter of the coal structure and is a constant between 0 and 1 for a specific coal. Laboratory tests indicate that the Sulcis coal sample has an $f_\mathrm{m}$ value of 0.1794 for $\hbox {N}_{2}$ and $\hbox {CO}_{2}$ . The proposed permeability model was evaluated using published data for the Sulcis coal sample and is compared to three popular permeability models. The proposed model agrees well with the observed permeability changes and can predict the permeability of coal better than the other models. The sensitivity of the new model to changes in the physical, mechanical and adsorption deformation parameters of the coal was investigated. Biot’s coefficient and the bulk modulus mainly affect the effective stress term in the proposed model. The sorption deformation parameters and the factor $f_\mathrm{m}$ affect the coal matrix deformation term.     

The 2-pebbling property for dense graphs

Given a distribution of pebbles on the vertices of a connected graph G, a pebbling move on G consists of taking two pebbles off one vertex and placing one on an adjacent vertex. The pebbling number f(G) is the smallest number m such that for every distribution of m pebbles and every vertex v,a pebble can be moved to v. A graph G is said to have the 2-pebbling property if for any distribution with more than 2f(G) q pebbles, where q is the number of vertices with at least one pebble, it is possible,using pebbling moves, to get two pebbles to any vertex. Snevily conjectured that G(s,t) has the 2-pebbling property, where G(s, t) is a bipartite graph with partite sets of size s and t (s ≥ t). Similarly, the-pebbling number f (G) is the smallest number m such that for every distribution of m pebbles and every vertex v, pebbles can be moved to v. Herscovici et al. conjectured that f(G) ≤ 1.5n + 8-6 for the graph G with diameter 3, where n = |V (G)|. In this paper, we prove that if s ≥ 15 and G(s, t) has minimum degree at least (s+1)/ 2 , then f (G(s, t)) = s + t, G(s, t) has the 2-pebbling property and f (G(s, t)) ≤ s + t + 8(-1). In other words, we extend a result due to Czygrinow and Hurlbert, and show that the above Snevily conjecture and Herscovici et al. conjecture are true for G(s, t) with s ≥ 15 and minimum degree at least (s+1)/ 2 .     

Amine-functionalized lanthanide-doped KGdF4 nanocrystals as potential optical/magnetic multimodal bioprobes

Amine-functionalized lanthanide-doped KGdF(4) nanocrystals, synthesized via a facile one-step solvothermal route by employing polyethylenimine as the surfactant and capping ligand, have been demonstrated to be sensitive time-resolved FRET bioprobes to detect a trace amount of biomolecules such as avidin at a concentration of 5.5 nM and to be potential T(1)-MRI contrast agents due to a large longitudinal relaxivity of Gd(3+) (5.86 S(-1)·mM(-1) per Gd ion and 3.99 × 10(5) S(-1)·mM(-1) per nanocrystal).     

Comprehensive HILIC × RPLC with mass spectrometry detection for the analysis of saponins in Panax notoginseng

A comprehensive off-line two-dimensional liquid chromatography (2D-LC) method coupling hydrophilic interaction liquid chromatography (HILIC) and reversed phase liquid chromatography (RPLC) was developed in this study to detect as many saponins as possible in extracts of Panax notoginseng. The orthogonality of the 2D HILIC × RPLC was up to 81%, and the peak capacity was 10200. In total, 224 saponins were found, and some of them were trace amounts. Besides, a screening table designed by adding molecular weights of possible aglycones and sugars was constructed to help rapidly characterize the saponins using MS information. Unfortunately, the structure of saponins could not be identified by using only MS information.     

简易高斯灰度扩散模型的误差分析及适用性研究

为了验证简易高斯灰度扩散模型的适用性,与传统高斯灰度扩散模型进行了对比分析。将两种高斯模型做归一化处理,设定检验像素,分析检验像元灰度的归一化值的相对误差;进行星图模拟,得到4个不同高斯半径(σ)下灰度赋值相对误差与像点映射位置偏离值的关系曲线,整体上误差随σ的增大而减小;对星图模拟得到的系列星像点采用灰度重心法提取质心,质心误差随σ增大而减小,传统模型模拟像点的质心提取精度比简易模型高约2个数量级。无噪声条件下σ=0.671时,简易模型模拟像点最大质心误差仅为0.033pixel。仿真结果表明:单就像点外形仿真而言,当σ较小时,简易模型不再适用;但针对像点的质心定位及后续算法,简易模型带来质心误差量级可以忽略,运算量更小,适于应用。